HongKongLectures2017

From Werner KRAUTH

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Introduction

This is the materials file for the lectures that I am giving at the Hong Kong University of Science and Technology, in April 2017.

Schedule

  • Wednesday 5 April 2017, 10h- 11h30 "Hard disks in classical and statistical mechanics 1/2"
  • Thursday 6 April 2017, 10h - 11h30 "Hard disks in classical and statistical mechanics 2/2"
  • Monday 10 April 2017, 10h - 11h30 "Hard disks and thermodynamic phases"
  • Tuesday 11 April 2017, 10h-11h30 "Hard disks and Markov chains"
  • Wednesday 12 April 2017, 10h00-11h30 "Hard disks and two-dimensional melting"

BIBTEX FILE

@article{AizenmanSimon1980,

    title = "{A comparison of plane rotor and Ising models}",
  journal = "Physics Letters A",
   volume = "76",
   number = "3",
    pages = "281 - 282",
     year = "1980",
     note = "",
     issn = "0375-9601",
      doi = "http://dx.doi.org/10.1016/0375-9601(80)90493-4",
      url = "http://www.sciencedirect.com/science/article/pii/0375960180904934",
   author = "M. Aizenman and B. Simon",

}

@article{Alder1957,

  author = {{Alder}, B.~J. and {Wainwright}, T.~E.},
   title = "{Phase Transition for a Hard Sphere System}",
 journal = {J. Chem. Phys.},
    year = 1957,
  mmonth = nov,
  volume = 27,
   pages = {1208-1209},
     doi = {10.1063/1.1743957},
  adsurl = {http://adsabs.harvard.edu/abs/1957JChPh..27.1208A},
 adsnote = {Provided by the SAO/NASA Astrophysics Data System},

}

@article{Alder1962,

  author = {{Alder}, B.~J. and {Wainwright}, T.~E.},
   title = "{Phase Transition in Elastic Disks}",
 journal = {Physical Review},
    year = 1962,
  mmonth = jul,
  volume = 127,
   pages = {359-361},
     doi = {10.1103/PhysRev.127.359},
  adsurl = {http://adsabs.harvard.edu/abs/1962PhRv..127..359A},
 adsnote = {Provided by the SAO/NASA Astrophysics Data System},

}

@article{AlderWainwright1959,

  author = {{Alder}, B.~J. and {Wainwright}, T.~E.},
   title = "{Studies in Molecular Dynamics. I. General Method}",
 journal = {J. Chem. Phys.},
    year = 1959,
  mmonth = aug,
  volume = 31,
   pages = {459-466},
     doi = {10.1063/1.1730376},
  adsurl = {http://adsabs.harvard.edu/abs/1959JChPh..31..459A},
 adsnote = {Provided by the SAO/NASA Astrophysics Data System},

}

@article{AlderWainwrightAutocorrelation1970,

    title = Template:Decay of the Velocity Autocorrelation Function,
   author = {Alder, B. J. and Wainwright, T. E.},
  journal = {Phys. Rev. A},
   volume = {1},
    issue = {1},
    pages = {18--21},
 numpages = {0},
     year = {1970},
   mmonth = {Jan},
publisher = {American Physical Society},
      doi = {10.1103/PhysRevA.1.18},
      url = {http://link.aps.org/doi/10.1103/PhysRevA.1.18},

}

@article{AldousDiaconis1986,

ISSN = {00029890, 19300972},
URL = {http://www.jstor.org/stable/2323590},
author = {David Aldous and Persi Diaconis},
journal = {The American Mathematical Monthly},
number = {5},
pages = {333-348},
publisher = {Mathematical Association of America},
title = Template:Shuffling Cards and Stopping Times,
volume = {93},
year = {1986},

}

@article{AndersonGPU2013,

   title = "{Massively parallel Monte Carlo for many-particle simulations on {GPUs}}",
 journal = "Journal of Computational Physics ",
  volume = "254",
  number = "",
   pages = "27 - 38",
    year = "2013",
    note = "",
    issn = "0021-9991",
     doi = "http://dx.doi.org/10.1016/j.jcp.2013.07.023",
     url = "//www.sciencedirect.com/science/article/pii/S0021999113004968",
  author = "Joshua A. Anderson and Eric Jankowski and Thomas L. Grubb and Michael Engel and Sharon C. Glotzer",

}

@article{Arnold_Proof_1963,

 author={V I Arnol'd},
 title=Template:PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN,
 journal={Russian Mathematical Surveys},
 volume={18},
 number={5},
 pages={9},
 url={http://stacks.iop.org/0036-0279/18/i=5/a=R02},
 year={1963},
 abstract={CONTENTS § 1. Introduction § 2. Formulation of the theorems § 3.  Proofs § 4. Technical lemmas § 5. Appendix. The rotatory motion of a heavy asymmetric rigid body References},

}

@article{Arnold_Small_Denominators_1963,

 author={Vladimir I Arnol'd},
 title=Template:SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS,
 journal={Russian Mathematical Surveys},
 volume={18},
 number={6},
 pages={85},
 url={http://stacks.iop.org/0036-0279/18/i=6/a=R02},
 year={1963},

}

@article{Asakura1954,

  author = {{Asakura}, S. and {Oosawa}, F.},
   title = "{On Interaction between Two Bodies Immersed in a Solution of Macromolecules}",
 journal = {J. Chem. Phys.},
    year = 1954,
  mmonth = jul,
  volume = 22,
   pages = {1255-1256},
     doi = {10.1063/1.1740347},
  adsurl = {http://adsabs.harvard.edu/abs/1954JChPh..22.1255A},
 adsnote = {Provided by the SAO/NASA Astrophysics Data System},

}

@article{BannermanLue2010,

  author = {{Bannerman}, M.~N. and {Lue}, L.},
   title = "{Exact on-event expressions for discrete potential systems}",
 journal = {J. Chem. Phys.},
    year = 2010,
  mmonth = sep,
  volume = 133,
  number = 12,
   pages = {124506-124506},
     doi = {10.1063/1.3486567},
  adsurl = {http://adsabs.harvard.edu/abs/2010JChPh.133l4506B},
 adsnote = {Provided by the SAO/NASA Astrophysics Data System},

}

@article{Bernard2009,

 title = Template:Event-chain Monte Carlo algorithms for hard-sphere systems,
 author = {Bernard, E. P. and Krauth, W. and Wilson, D. B.},
 journal = {Phys. Rev. E},
 volume = {80},
 issue = {5},
 pages = {056704},
 numpages = {5},
 year = {2009},
mmonth = {Nov},
 publisher = {American Physical Society},
 doi = {10.1103/PhysRevE.80.056704},
 url = {http://link.aps.org/doi/10.1103/PhysRevE.80.056704},

}

@article{Bernard2011,

 title = Template:Two-Step Melting in Two Dimensions: First-Order Liquid-Hexatic Transition,
 author = {Bernard, E. P. and Krauth, W.},
 journal = {Phys. Rev. Lett.},
 volume = {107},
 issue = {15},
 pages = {155704},
 numpages = {4},
 year = {2011},
mmonth = {Oct},
 publisher = {American Physical Society},
 doi = {10.1103/PhysRevLett.107.155704},
 url = {http://link.aps.org/doi/10.1103/PhysRevLett.107.155704},

}

@article{BernardChanalKrauth2010,

  author = {{Bernard}, E.~P. and {Chanal}, C. and {Krauth}, W.},
   title = "{Damage spreading and coupling in Markov chains}",
 journal = {EPL (Europhysics Letters)},

archivePrefix = "arXiv",

  eprint = {1010.1195},
primaryClass = "cond-mat.stat-mech",
    year = 2010,
  mmonth = dec,
  volume = 92,
   pages = {60004},
     doi = {10.1209/0295-5075/92/60004},
  adsurl = {http://adsabs.harvard.edu/abs/2010EL.....9260004B},
 adsnote = {Provided by the SAO/NASA Astrophysics Data System},

}

@article{Bianchi2012JCP,

  author = {Bianchi, E. and Doppelbauer, G. and Filion, L. and Dijkstra, M. and Kahl, G.},
  title = Template:Predicting patchy particle crystals: Variable box shape simulations and evolutionary algorithms,
  journal = {J. Chem. Phys.},
  year = {2012},
  volume = {136},
  number = {21}, 
  pages = {214102},
  url = {http://scitation.aip.org/content/aip/journal/jcp/136/21/10.1063/1.4722477},
  doi = {10.1063/1.4722477} ,

}

@article{BierkensPDMC2017,

   author = {Bierkens, J. and Bouchard-Côté, A. and Doucet, A. and Duncan, A.~B. and Fearnhead, P. and Roberts, G. and Vollmer, S.~J.  },
   title = "{Piecewise Deterministic Markov Processes for Scalable Monte Carlo on Restricted Domains}",
   archivePrefix = "arXiv",
   eprint = {1701.04244},
   primaryClass = "stat.ME",
   year = 2017,
   adsurl = {http://adsabs.harvard.edu/abs/2017arXiv170104244B},

}

@article{BloeteGuoHilhorst2002,

 title = Template:Phase Transition in a Two-Dimensional Heisenberg Model,
 author = {Bl{\"o}te, Henk W. J. and Guo, Wenan and Hilhorst, Henk J.},
 journal = {Phys. Rev. Lett.},
 volume = {88},
 issue = {4},
 pages = {047203},
 numpages = {4},
 year = {2002},
mmonth = {Jan},
 publisher = {American Physical Society},
 doi = {10.1103/PhysRevLett.88.047203},
 url = {http://link.aps.org/doi/10.1103/PhysRevLett.88.047203},

}

@article{Bortz1975,

   title = Template:A new algorithm for Monte Carlo simulation of Ising spin systems ,
 journal = "Journal of Computational Physics ",
  volume = "17",
  number = "1",
   pages = "10 - 18",
    year = "1975",
    note = "",
    issn = "0021-9991",
     doi = "10.1016/0021-9991(75)90060-1",
     url = "//www.sciencedirect.com/science/article/pii/0021999175900601",
  author = "A. B. Bortz and M. H. Kalos and J. L. Lebowitz",
abstract = "We describe a new algorithm for Monte Carlo simulation of Ising spin systems and present results of a study comparing the speed of the new technique to that of a standard technique applied to a square lattice of 6400 spins evolving via single spin flips. We find that at temperatures T < Tc, the critical temperature, the new technique is faster than the standard technique, being ten times faster at T = 0.588 Tc. We expect that the new technique will be especially valuable in Monte Carlo simulation of the time evolution of binary alloy systems. The new algorithm is essentially a reorganization of the standard algorithm. It accounts for the a priori probability of changing spins before, rather than after, choosing the spin or spins to change. ", 

}

@article{BuhotKrauth1999,

  author = {{Buhot}, A. and {Krauth}, W.},
   title = "{Phase separation in two-dimensional additive mixtures}",
 journal = {\pre},
  eprint = {cond-mat/9807014},
    year = 1999,
  mmonth = mar,
  volume = 59,
   pages = {2939-2941},
     doi = {10.1103/PhysRevE.59.2939},
  adsurl = {http://adsabs.harvard.edu/abs/1999PhRvE..59.2939B},
 adsnote = {Provided by the SAO/NASA Astrophysics Data System},

}

@article{Bustingorry_Kolton_Rosso_Krauth2009, author = "S. Bustingorry and A.B. Kolton and A. Rosso and W. Krauth and T. Giamarchi", title = "{Thermal effects in the dynamics of disordered elastic systems}", journal = "Physica B: Condensed Matter", volume = "404", number = "3–4", pages = "444 - 446", year = "2009", note = "Proceedings of the International Workshop on Electronic Crystals ", issn = "0921-4526", doi = "http://dx.doi.org/10.1016/j.physb.2008.11.064", url = "http://www.sciencedirect.com/science/article/pii/S0921452608005553", }

@article{ChanalKrauth2008,

  author = {{Chanal}, C. and {Krauth}, W.},
   title = "{Renormalization Group Approach to Exact Sampling}",
 journal = {Physical Review Letters},

archivePrefix = "arXiv",

  eprint = {0707.4117},
primaryClass = "cond-mat.stat-mech",
    year = 2008,
  mmonth = feb,
  volume = 100,
  number = 6,
     eid = {060601},
   pages = {060601},
     doi = {10.1103/PhysRevLett.100.060601},
  adsurl = {http://adsabs.harvard.edu/abs/2008PhRvL.100f0601C},
 adsnote = {Provided by the SAO/NASA Astrophysics Data System},

}

@article{ChanalKrauth2010,

  author = {{Chanal}, C. and {Krauth}, W.},
   title = "{Convergence and coupling for spin glasses and hard spheres}",
 journal = {\pre},

archivePrefix = "arXiv",

  eprint = {0910.1530},
primaryClass = "cond-mat.stat-mech",
keywords = {Computational techniques, simulations, Boson systems},
    year = 2010,
  mmonth = jan,
  volume = 81,
  number = 1,
     eid = {016705},
   pages = {016705},
     doi = {10.1103/PhysRevE.81.016705},
  adsurl = {http://adsabs.harvard.edu/abs/2010PhRvE..81a6705C},
 adsnote = {Provided by the SAO/NASA Astrophysics Data System},

}

@article{Chen1999,

   author = {Fang Chen and László Lovász and Igor Pak},
   title = Template:Lifting Markov Chains to Speed up Mixing,
 journal = {Proceedings of the 17th Annual ACM Symposium on Theory of Computing},
   pages = {275},
   year = {1999},

}

@article{DeGraag2012JCP,

  author = "de Graaf, J. and Filion, L. and Marechal, M. and van Roij, R. and Dijkstra, M.",
  title = "{Crystal-structure prediction via the Floppy-Box Monte Carlo algorithm: Method and application to hard (non)convex particles}",
  journal = "J. Chem. Phys.",
  year = "2012",
  volume = "137",
  number = "21", 
  pages = "214101",
  doi = "10.1063/1.4767529",
  url = "http://scitation.aip.org/content/aip/journal/jcp/137/21/10.1063/1.4767529",

}

@article{DekerHaakeSpinChain1979, author="Deker, Uli and Haake, Fritz", title="{Renormalization group transformation for the master equation of a kinetic Ising chain}", journal="Zeitschrift f{\"u}r Physik B Condensed Matter", year="1979", volume="35", number="3", pages="281--285", issn="1431-584X", doi="10.1007/BF01319850", url="http://dx.doi.org/10.1007/BF01319850", }

@article{Derrida_Domany_Mukamel_1992,

   author="Derrida, B.  and Domany, E.  and Mukamel, D.",
    title="{An exact solution of a one-dimensional asymmetric exclusion model with open boundaries}",
  journal="Journal of Statistical Physics",
     year="1992",
   volume="69",
   number="3",
    pages="667--687",
     issn="1572-9613",
      doi="10.1007/BF01050430",
      url="http://dx.doi.org/10.1007/BF01050430",

}

@article{Diaconis2000,

   author ={Diaconis, P. and Holmes, S. and Neal, R.\ M.},
  title = "{Analysis of a nonreversible Markov chain sampler}",
   journal = {Annals of Applied Probability},
   volume = {10},
   pages = {726-752},
   year = {2000},

}

@article{Diaconis2011,

   author="Diaconis, Persi",
    title="{The Mathematics of Mixing Things Up}",
  journal="Journal of Statistical Physics",
     year="2011",
   volume="144",
   number="3",
    pages="445",
     issn="1572-9613",
      doi="10.1007/s10955-011-0284-x",
      url="http://dx.doi.org/10.1007/s10955-011-0284-x",

}

@article{Dinsmore1995,

 title = Template:Phase diagrams of nearly-hard-sphere binary colloids,
 author = {Dinsmore, A. D. and Yodh, A. G. and Pine, D. J.},
 journal = {Phys. Rev. E},
 volume = {52},
 issue = {4},
 pages = {4045--4057},
 numpages = {0},
 year = {1995},
mmonth = {Oct},
 publisher = {American Physical Society},
 doi = {10.1103/PhysRevE.52.4045},
 url = {http://link.aps.org/doi/10.1103/PhysRevE.52.4045},

}

@article{DomanySchickSwendsen1984,

 title = {{First-Order Transition in an $\mathrm{xy}$ Model with Nearest-Neighbor Interactions}},
 author = {Domany, Eytan and Schick, Michael and Swendsen, Robert H.},
 journal = {Phys. Rev. Lett.},
 volume = {52},
 issue = {17},
 pages = {1535--1538},
 numpages = {0},
 year = {1984},
mmonth = {Apr},
 publisher = {American Physical Society},
 doi = {10.1103/PhysRevLett.52.1535},
 url = {http://link.aps.org/doi/10.1103/PhysRevLett.52.1535},

}

@article{Domany_2d_Ising_1984,

 title = "{Exact Results for Two- and Three-Dimensional Ising and Potts Models}",
 author = {Domany, Eytan},
 journal = {Phys. Rev. Lett.},
 volume = {52},
 issue = {11},
 pages = {871--874},
 numpages = {0},
 year = {1984},
 mmonth = {Mar},
 publisher = {American Physical Society},
 doi = {10.1103/PhysRevLett.52.871},
 url = {http://link.aps.org/doi/10.1103/PhysRevLett.52.871},

}

@article{Dress1995,

  author = {{Dress}, C. and {Krauth}, W.},
   title = "{Cluster algorithm for hard spheres and related systems}",
 journal = {Journal of Physics A Mathematical General},
    year = 1995,
  mmonth = dec,
  volume = 28,
   pages = {L597-L601},
     doi = {10.1088/0305-4470/28/23/001},
  adsurl = {http://adsabs.harvard.edu/abs/1995JPhA...28L.597D},
 adsnote = {Provided by the SAO/NASA Astrophysics Data System},

}

@article{Dyson_Existence_1969,

   author="Dyson, Freeman J.",
    title="{Existence of a phase-transition in a one-dimensional Ising ferromagnet}",
  journal="Communications in Mathematical Physics",
     year="1969",
   volume="12",
   number="2",
    pages="91--107",
     issn="1432-0916",
      doi="10.1007/BF01645907",
      url="http://dx.doi.org/10.1007/BF01645907",

}

@article{Dyson_non_existence_1969,

   author="Dyson, Freeman J.",
    title="{Non-existence of spontaneous magnetization in a one-dimensional Ising ferromagnet}",
  journal="Communications in Mathematical Physics",
     year="1969",
   volume="12",
   number="3",
    pages="212--215",
     issn="1432-0916",
      doi="10.1007/BF01661575",
      url="http://dx.doi.org/10.1007/BF01661575",

}

@article{Engel2013,

 title = "{Hard-disk equation of state: First-order liquid-hexatic transition in two dimensions with three simulation methods}",
 author = {Engel, M. and Anderson, J. A. and Glotzer, S. C. and Isobe, M. and Bernard, E. P. and Krauth, W.},
 journal = {Phys. Rev. E},
 volume = {87},
 issue = {4},
 pages = {042134},
 numpages = {8},
 year = {2013},
mmonth = {Apr},
 publisher = {American Physical Society},
 doi = {10.1103/PhysRevE.87.042134},
 url = {http://link.aps.org/doi/10.1103/PhysRevE.87.042134},

}

@article{Enter_Shlosman_2002,

   title = "{First-order transitions for n-vector models in two and more dimensions: Rigorous proof}",
  author = "Enter, {Aernout C.D. van} and Shlosman, {Senya B.}",
    year = "2002",
   mmonth = "12",
     doi = "10.1103/PhysRevLett.89.285702",
  volume = "89",
 journal = "Physical Review Letters",
    issn = "0031-9007",

publisher = "AMER PHYSICAL SOC", number = "28", }

@article{FeanyBender2000,

  author = {{Feany}, M.~B. and {Bender}, W. W.},
   title = "{A Drosophila model of Parkinson's disease}",
 journal = {Nature},
    year = 2000,
  volume = 404,
   pages = {394-398},

}

@article{Fejes1942,

   author="Fejes, L.",
    title="{{\"U}ber die dichteste Kugellagerung}",
  journal="Mathematische Zeitschrift",
     year="1942",
   volume="48",
   number="1",
    pages="676--684",
     issn="1432-1823",
      doi="10.1007/BF01180035",
      url="http://dx.doi.org/10.1007/BF01180035",

}

@article{FerdinandFisher1969,

  author = {{Ferdinand}, A.~E. and {Fisher}, M.~E.},
   title = "{Bounded and Inhomogeneous Ising Models. I. Specific-Heat Anomaly of a Finite Lattice}",
 journal = {Physical Review},
    year = 1969,
  mmonth = sep,
  volume = 185,
   pages = {832-846},
     doi = {10.1103/PhysRev.185.832},
  adsurl = {http://adsabs.harvard.edu/abs/1969PhRv..185..832F},
 adsnote = {Provided by the SAO/NASA Astrophysics Data System},

}

@article{FernandesWeigelCPC2011,

   title = "{Non-reversible Monte Carlo simulations of spin models}",
   journal = "Computer Physics Communications ",
   volume = "182",
   number = "9",
   pages = "1856 - 1859",
   year = "2011",
   note = "Computer Physics Communications Special Edition for Conference on Computational Physics Trondheim, Norway, June 23-26, 2010 ",
   issn = "0010-4655",
   doi = "10.1016/j.cpc.2010.11.017",
   author = "Heitor C.M. Fernandes and Martin Weigel",

}

@article{FisherMaNickel1972,

 title = Template:Critical Exponents for Long-Range Interactions,
 author = {Fisher, Michael E. and Ma, Shang-keng and Nickel, B. G.},
 journal = {Phys. Rev. Lett.},
 volume = {29},
 issue = {14},
 pages = {917--920},
 numpages = {0},
 year = {1972},
 mmonth = {Oct},
 publisher = {American Physical Society},
 doi = {10.1103/PhysRevLett.29.917},
 url = {http://link.aps.org/doi/10.1103/PhysRevLett.29.917},

}

@article{FroehlichSpencer1981,

   author="Fr{\"o}hlich, J{\"u}rg and Spencer, Thomas",
    title="{The Kosterlitz-Thouless transition in two-dimensional Abelian spin systems and the Coulomb gas}",
  journal="Communications in Mathematical Physics",
     year="1981",
   volume="81",
   number="4",
    pages="527--602",
     issn="1432-0916",
      doi="10.1007/BF01208273",
      url="http://dx.doi.org/10.1007/BF01208273",

}

@article{Gibson2015,

   title = "{Behavioral Responses to a Repetitive Visual Threat Stimulus Express a Persistent State of Defensive Arousal in Drosophila} ",
  journal = "Current Biology ",
   volume = "25",
   number = "11",
    pages = "1401 - 1415",
     year = "2015",
     note = "",
     issn = "0960-9822",
      doi = "http://dx.doi.org/10.1016/j.cub.2015.03.058",
      url = "//www.sciencedirect.com/science/article/pii/S096098221500411X",
   author = "William T. Gibson and Carlos R. Gonzalez and Conchi Fernandez and Lakshminarayanan Ramasamy and Tanya Tabachnik and Rebecca R. Du and Panna D.  Felsen and Michael R. Maire and Pietro Perona and David J. Anderson",

}

@article{Glauber1963,

  author = {{Glauber}, R.~J.},
   title = "{Time-Dependent Statistics of the Ising Model}",
 journal = {Journal of Mathematical Physics},
    year = 1963,
  mmonth = feb,
  volume = 4,
   pages = {294-307},
     doi = {10.1063/1.1703954},
  adsurl = {http://adsabs.harvard.edu/abs/1963JMP.....4..294G},
 adsnote = {Provided by the SAO/NASA Astrophysics Data System},

}

@article{Griffeath_MaxCoup1975,

 year  = {1975},
 publisher = {Springer Nature},
 volume = {31},
 number = {2},
 pages = {95--106},
 author = {David Griffeath},
 title = "{A maximal coupling for Markov chains}",
 journal = {Zeitschrift f\"r Wahrscheinlichkeitstheorie und Verwandte Gebiete},
 doi = {10.1007/bf00539434},
 url = {https://doi.org/10.1007%2Fbf00539434},

}

@article{Groeneveld1962,

   title = "{Two theorems on classical many-particle systems}",
   journal = "Physics Letters ",
   volume = "3",
   number = "1",
   pages = "50 - 51",
   year = "1962",
   note = "",
   issn = "0031-9163",
   doi = "http://dx.doi.org/10.1016/0031-9163(62)90198-1",
   url = "//www.sciencedirect.com/science/article/pii/0031916362901981",
   author = "Groeneveld, J.",

}

@article{HagenPagonabarrangaLoweFrenkel1997,

 title = "{Algebraic Decay of Velocity Fluctuations in a Confined Fluid}",
 author = {Hagen, M. H. J. and Pagonabarraga, I. and Lowe, C. P. and Frenkel, D.},
 journal = {Phys. Rev. Lett.},
 volume = {78},
 issue = {19},
 pages = {3785-3788},
 numpages = {0},
 year = {1997},
mmonth = {May},
 publisher = {American Physical Society},
 doi = {10.1103/PhysRevLett.78.3785},
 url = {http://link.aps.org/doi/10.1103/PhysRevLett.78.3785},

}

@article{Hales2005,

 title = "{A proof of the Kepler conjecture}",
 author = {Hales, Thomas},
 journal = {Annals of Mathematics},
mmonth = {nov},
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publisher = {John Wiley \& Sons, Inc.},
     issn = {1098-2418},
      url = {http://dx.doi.org/10.1002/(SICI)1098-2418(200001)16:1<85::AID-RSA6>3.0.CO;2-H},
      doi = {10.1002/(SICI)1098-2418(200001)16:1<85::AID-RSA6>3.0.CO;2-H},
    pages = {85--113},
     year = {2000},

}

@article{WittmerPolinska2011,

  author = {{Wittmer}, J.~P. and {Poli{\'n}ska}, P. and {Meyer}, H. and {Farago}, J. and {Johner}, A. and {Baschnagel}, J. and {Cavallo}, A.  },
   title = "{Scale-free center-of-mass displacement correlations in polymer melts without topological constraints and momentum conservation: A bond-fluctuation model study}",
 journal = {\jcp},
archivePrefix = "arXiv",
  eprint = {1102.4962},
primaryClass = "cond-mat.soft",
keywords = {momentum, Monte Carlo methods, polymer melts, Polymer melts and blends, Computer simulation of liquid structure, Time-dependent properties, relaxation, Monte Carlo methods},
    year = 2011,
  mmonth = jun,
  volume = 134,
  number = 23,
   pages = {234901-234901},
     doi = {10.1063/1.3601918},
  adsurl = {http://adsabs.harvard.edu/abs/2011JChPh.134w4901W},
 adsnote = {Provided by the SAO/NASA Astrophysics Data System},

}

@article{Wolff1989cluster,

 title = "{Collective Monte Carlo Updating for Spin Systems}",
 author = {Wolff, Ulli},
 journal = {Phys. Rev. Lett.},
 volume = {62},
 issue = {4},
 pages = {361--364},
 numpages = {0},
 year = {1989},
mmonth = {Jan},
 publisher = {American Physical Society},
 doi = {10.1103/PhysRevLett.62.361},
 url = {http://link.aps.org/doi/10.1103/PhysRevLett.62.361},

}

@article{Young1979VectorCoulomb,

 title = "{Melting and the vector Coulomb gas in two dimensions}",
 author = {Young, A. P.},
 journal = {Phys. Rev. B},
 volume = {19},
 issue = {4},
 pages = {1855--1866},
 numpages = {0},
 year = {1979},
mmonth = {Feb},
 publisher = {American Physical Society},
 doi = {10.1103/PhysRevB.19.1855},
 url = {http://link.aps.org/doi/10.1103/PhysRevB.19.1855},

}

@article{Zurek2003RMP,

  author = {{Zurek}, W.~H.},
   title = "{Decoherence, einselection, and the quantum origins of the classical}",
 journal = {Reviews of Modern Physics},
  eprint = {quant-ph/0105127},
keywords = {Decoherence, open systems, quantum statistical methods, Entanglement and quantum nonlocality, Semiclassical theories and applications, Algebraic methods},
    year = 2003,
  mmonth = may,
  volume = 75,
   pages = {715-775},
     doi = {10.1103/RevModPhys.75.715},
  adsurl = {http://adsabs.harvard.edu/abs/2003RvMP...75..715Z},
 adsnote = {Provided by the SAO/NASA Astrophysics Data System},

}

@article{Zwerger_Ising1d1981, title = "{Critical slowing down of diffusion in a one-dimensional kinetic Ising model}", author = "W. Zwerger", journal = "Physics Letters A", volume = "84", number = "5", pages = "269 - 270", year = "1981", note = "", issn = "0375-9601", doi = "http://dx.doi.org/10.1016/0375-9601(81)90809-4", url = "http://www.sciencedirect.com/science/article/pii/0375960181908094", }

@article{kolmogorov1954,

    author = {Kolmogorov, A. N.},
     title = "{On conservation of conditionally periodic motions for a small change in {H}amilton's function}",
   journal = {Dokl. Akad. Nauk SSSR (N.S.)},
  fjournal = {Doklady Akademii Nauk SSSR},
    volume = {98},
      year = {1954},
     pages = {527--530},
      issn = {0002-3264},
   mrclass = {36.0X},
  mrnumber = {0068687},
 mrreviewer = {Y. N. Dowker},

}

@article{vanEnter2002,

   title = "{First-order transitions for n-vector models in two and more dimensions: Rigorous proof} ",
  author = "Enter, {Aernout C.D. van} and Shlosman, {Senya B.}",
    year = "2002",
  mmonth = "12",
     doi = "10.1103/PhysRevLett.89.285702",
  volume = "89",
 journal = "Physical Review Letters",
    issn = "0031-9007",

publisher = "AMER PHYSICAL SOC", number = "28", }

  1. book section:

@book{Berg2004book,

     title=Template:Markov Chain Monte Carlo simulations and their statistical analysis: with web-based Fortran code,
    author={Bernd A. Berg},
 publisher={World Scientific},
  address={},
      year={2004},
     mmonth={10},
      isbn={9789812389350},
       url={http://amazon.com/o/ASIN/9812389350/},
totalpages={378},

}

@book{Bernoulli1738,

 title="{Hydrodynamica}",
 author="Bernoulli, Daniel", 
 year={1738},
 url="http://dx.doi.org/10.3931/e-rara-3911",

}

@book{Conway1999,

  author={J. H. Conway \and N. J. A. Sloane},
  title="{Sphere Packings, Lattices and Groups}",
  publisher={Springer-Verlag},
  address={New York},
  year={1999},

}

@book{Feynman1972,

 title="{Statistical mechanics: a set of lectures}",
 author={Feynman, R. P.},
 series={Frontiers in physics},
 year={1972},
 publisher={W. A. Benjamin, Reading, Massachusetts.},

}

@book{Forster1975,

  author = {{Forster}, D.},
   title = "{Hydrodynamic fluctuations, broken symmetry, and correlation functions}",

publisher = {W. A. Benjamin, Inc.},

    note = {Frontiers in Physics. Volume 47},

booktitle = {Reading, Mass., USA},

    year = {1975},
  volume = {47},
 adsnote = {Provided by the SAO/NASA Astrophysics Data System},

}

@book{FrenkelSmitBook2001,

   title=Template:Understanding Molecular Simulation: From Algorithms to Applications,
   author={Frenkel, D. and Smit, B.},
   isbn={9780080519982},
   series={Computational science series},
   url={https://books.google.de/books?id=5qTzldS9ROIC},
   year={2001},
   publisher={Elsevier Science},

}

@book{LandauBinderBook2013,

   author={Landau, D.P. and Binder, K.},
   title = Template:A guide to Monte Carlo Simulations in Statistical Physics,
   isbn={9781139480437},
   url={https://books.google.de/books?id=hrIhAwAAQBAJ},
   year={2013},
   publisher={Cambridge University Press},

}

@book{Pathria2011,

 title="{Statistical Mechanics}",
 author={Pathria, R.K. and Beale, P.D.},
 isbn={9780123821898},
 year={2011},
 publisher={Elsevier Science},

}

@book{SMAC,

       title="{Statistical Mechanics: Algorithms and Computations}",
       publisher={Oxford University Press, {USA}},
       author={Krauth, W.},
      mmonth={nov},
       year={2006},
       url = "www.smac.lps.ens.fr",

}

@book{Sethna2006,

 title="{Statistical mechanics: entropy, order parameters, and complexity}",
 author={Sethna, J.},
 volume={14},
 year={2006},
 publisher={Oxford University Press},

}

@book{Szasz2000,

  editor={D. Sz\'{a}sz},
  title="{Hard Ball Systems and the Lorentz Gas}",
  publisher={Springer-Verlag},
  address={Berlin Heidelberg},
  year={2000},

}

@book{Thirring1997classical,

author = {Thirring, Walter},
title = "{Classical mathematical physics: dynamical systems and field theories}",
publisher = {Springer},
year = {1997},
address = {New York},
isbn = {978-0387948430},

}

@book{Weaire2000,

  author={T. Aste and D. Weaire},
  title="{The pursuit of perfect packing}",
  publisher={Institute of Physics Publishing},
  address={Bristol},
  year={2000},

}

  1. incollection section:

@incollection{Barber1983,

 author      = "Barber, M. N.",
 title       = "{Finite-size scaling}",
 booktitle   = "{Phase transitions and Critical Phenomena}",
 editor      = "Comb, C. and Lebowitz, J. L.",
 publisher   = "Academic, New York",
 year        = 1983,

}

@incollection{FriggHartmann2016,

       author       =  {Frigg, Roman and Hartmann, Stephan},
       title        =  Template:Models in Science,
       booktitle    =  {The Stanford Encyclopedia of Philosophy},
       editor       =  {Edward N. Zalta},
       url          =  {https://plato.stanford.edu/archives/win2016/entries/models-science/},
       year         =  {2016},
       edition      =  {Winter 2016},
       publisher    =  {Metaphysics Research Lab, Stanford University},

}

@incollection{Martinelli1999,

     author="Martinelli, Fabio",
     editor="Bernard, Pierre",
      title="{Lectures on Glauber Dynamics for Discrete Spin Models}",
  booktitle="Lectures on Probability Theory and Statistics: Ecole d'Et{\'e} de Probabilit{\'e}s de Saint-Flour XXVII - 1997",
       year="1999",
  publisher="Springer Berlin Heidelberg",
    address="Berlin, Heidelberg",
      pages="93--191",
       isbn="978-3-540-48115-7",
        doi="10.1007/978-3-540-48115-7_2",
        url="http://dx.doi.org/10.1007/978-3-540-48115-7_2",

}

@incollection{RandallWinklerCircle2005,

   author   ="Randall, Dana and Winkler, Peter",
   editor   ="Chekuri, Chandra and Jansen, Klaus and Rolim, Jos{\'e} D. P.  and Trevisan, Luca",
   title    ="{Mixing Points on a Circle}",
booktitle   ="Approximation, Randomization and Combinatorial Optimization.  Algorithms and Techniques: 8th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2005 and 9th International Workshop on Randomization and Computation, RANDOM 2005, Berkeley, CA, USA, August 22-24, 2005. Proceedings",
   year     ="2005",
   publisher="Springer Berlin Heidelberg",
   address  ="Berlin, Heidelberg",
   pages    ="426--435",
   isbn     ="978-3-540-31874-3",
   doi      ="10.1007/11538462_36",
   url      ="http://dx.doi.org/10.1007/11538462_36",

}

@incollection{vonNeumann1951,

  author    = "{von} Neumann, J.",
  title     = "{Various techniques used in connection with random digits}",
  booktitle = "The Monte Carlo Method",
  year      = "1951",
  publisher = "United States Government Printing Office",
  address   = "Washington, DC",
  series    = "National Bureau of Standards Applied Mathematics Series",
  number    = "12",
  pages     = "36-38",

}

  1. inproceedings section:

@inproceedings{ChenLovaszPak1999,

   author = {Fang Chen and László Lovász and Igor Pak},
    title = "{Lifting Markov Chains to Speed up Mixing}",
booktitle = {Proceedings of the 17th Annual ACM Symposium on Theory of Computing (ACM, New York)},
    pages = {275},
     year = {1999},
     url =  {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.31.5851},

}

@inproceedings{Kannanrapidmixing2003,

   author = {Ravi Kannan and Michael W. Mahoney and Ravi Montenegro},
   title = "{Rapid mixing of several Markov chains for a hard-core model}",
   booktitle = {PROC. 14TH ANNUAL ISAAC},
   year = {2003},
   pages = {663--675},
   publisher = {},
   url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.82.1164},

}

@inproceedings{RandallWinklerInterval2005,

 author    = {Dana Randall and Peter Winkler},
 title     = "{Mixing Points on an Interval}",
 booktitle = {Proceedings of the Seventh Workshop on Algorithm Engineering and Experiments and the Second Workshop on Analytic Algorithmics and Combinatorics, {ALENEX} /ANALCO 2005, Vancouver, BC, Canada, 22 January 2005},
 pages     = {218--221},
 year      = {2005},
 crossref  = {DBLP:conf/alenex/2005},
 url       = {http://www.siam.org/meetings/analco05/papers/04drandall.pdf},
 timestamp = {Tue, 30 Jan 2007 13:47:28 +0100},
 biburl    = {http://dblp.uni-trier.de/rec/bib/conf/alenex/RandallW05},
 bibsource = {dblp computer science bibliography, http://dblp.org},

}

@inproceedings{RossoKrauth2005CompPhysComm, author = "Alberto Rosso and Werner Krauth", title = "{Variant Monte Carlo algorithm for driven elastic strings in random media}", journal = "Computer Physics Communications ", volume = "169", number = "1–3", pages = "188 - 191", year = "2005", note = "Proceedings of the Europhysics Conference on Computational Physics 2004CCP 2004Europhysics Conference on Computational Physics 2004 ", issn = "0010-4655", doi = "http://dx.doi.org/10.1016/j.cpc.2005.03.042", url = "http://www.sciencedirect.com/science/article/pii/S0010465505001396", keywords = "Elasticity", keywords = "Disorder", keywords = "Depinning ", }

@inproceedings{YangIsing1963,

 title="{An approach to the Ising problem using a large scale fast digital computer}",
 author={Yang, Chen-Ping},
 booktitle={Proceedings of Symposia in Applied Mathematics},
 volume={15},
 pages={351-366},
 year={1963},
 doi= {http://dx.doi.org/10.1090/psapm/015},
 url={http://www.ams.org/books/psapm/015/},

}

@inproceedings{kolmogorov1954conservation,

 title="{On the conservation of quasi-periodic motions for a small perturbation of the hamiltonian function}",
 author={Kolmogorov, Andrei N},
 booktitle={Dokl. Akad. Nauk SSSR},
 volume={98},
 pages={527--530},
 year={1954},

}

  1. phdthesis section:

@phdthesis{Clisby2004PHD,

 author={N. A. Clisby},
 year={2004},
 title="{Negative Virial Coefficients for Hard Spheres}", 
 school={Stony Brook University}, 

}

@phdthesis{Michel2016PDH,

 title = Template:Irreversible Markov chains by the factorized Metropolis filter: Algorithms and applications in particle systems and spin models,
 author = {Michel, Manon},
 url = {https://tel.archives-ouvertes.fr/tel-01394204},
 school = Template:Ecole Normale Superieure de Paris - ENS Paris,
 year = {2016},
mmonth = Oct,
 type = {Theses},
 pdf = {https://tel.archives-ouvertes.fr/tel-01394204/file/manuscript.pdf},

}

@phdthesis{Piatecki2014PHD,

 author={S. Piatecki},
 year={2014},
 title=Template:The Bose gas at large scattering lengths,
 school={\'Ecole Normale Sup\'erieure, Paris},
 url={https://tel.archives-ouvertes.fr/tel-01158248},

}

@phdthesis{bernard2011PHD,

 title = Template:Algorithms and applications of the Monte Carlo method: Two-dimensional melting and perfect sampling,
 author = {Bernard, Etienne},
 url = {https://tel.archives-ouvertes.fr/tel-00637330},
 school = {{Universit{\'e} Pierre et Marie Curie - Paris VI}},
 year = {2011},
mmonth = Sep,
 type = {Theses},
 pdf = {https://tel.archives-ouvertes.fr/tel-00637330/file/manuscript.pdf},

}

  1. unpublished section:

@unpublished{Bierkens_CurieWeiss2016,

   author = {Joris Bierkens and Gareth Roberts},
   title = "{ A piecewise deterministic scaling limit of Lifted {Metropolis-Hastings} in the {Curie-Weiss} model}",
   url = {https://arxiv.org/abs/1509.00302v2},
   note = {to appear in Annals of Applied Probability, 2016},

}

@unpublished{Comparin2016b,

 author = Template:Comparin, T. and Krauth, W.,
 title = {{}},
 note = {in preparation},

}

@unpublished{HayesJanes2013,

   author = {Thomas Hayes and Michael Janes},
   title = "{Local Liftings with Optimal Speedup for Arbitrary Distributions over a Path}",
   note = {status unclear},

}

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