322 lines
14 KiB
BibTeX
322 lines
14 KiB
BibTeX
% Crystallization
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@article{Mainini2014,
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title={Crystallization in carbon nanostructures},
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author={Mainini, Edoardo and Stefanelli, Ulisse},
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journal={Communications in Mathematical Physics},
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volume={328},
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pages={545--571},
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year={2014},
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publisher={Springer}
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}
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@article{Theil2006,
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title={A proof of crystallization in two dimensions},
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author={Theil, Florian},
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journal={Communications in Mathematical Physics},
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volume={262},
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pages={209--236},
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year={2006},
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publisher={Springer}
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}
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@article{Jansen2014,
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title={Wigner crystallization in the quantum 1D jellium at all densities},
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author={Jansen, Sabine and Jung, Paul},
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journal={Communications in Mathematical Physics},
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volume={331},
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pages={1133--1154},
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year={2014},
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publisher={Springer}
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}
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% Insight into continuous systems
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@article{Ruelle1971,
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title={Existence of a phase transition in a continuous classical system},
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author={Ruelle, David},
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journal={Physical Review Letters},
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volume={27},
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number={16},
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pages={1040},
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year={1971},
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publisher={APS}
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}
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% Mermin-Wagner
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@article{Mermin1966,
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title={Absence of ferromagnetism or antiferromagnetism in one-or two-dimensional isotropic Heisenberg models},
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author={Mermin, N David and Wagner, Herbert},
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journal={Physical Review Letters},
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volume={17},
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number={22},
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pages={1133},
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year={1966},
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publisher={APS}
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}
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% J-L
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@article{Jauslin2017,
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title={Crystalline ordering and large fugacity expansion for hard-core lattice particles},
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author={Jauslin, Ian and Lebowitz, Joel L},
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journal={The Journal of Physical Chemistry B},
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volume={122},
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number={13},
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pages={3266--3271},
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year={2017},
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publisher={ACS Publications}
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}
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@article{Jauslin2018,
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title={High-Fugacity Expansion, Lee--Yang Zeros, and Order--Disorder Transitions in Hard-Core Lattice Systems},
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author={Jauslin, Ian and Lebowitz, Joel L},
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journal={Communications in Mathematical Physics},
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volume={364},
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pages={655--682},
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year={2018},
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publisher={Springer}
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}
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% Series by Mazel et al
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@article{Mazel2018,
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title={High-density hard-core model on triangular and hexagonal lattices},
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author={Mazel, A and Stuhl, I and Suhov, Y},
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journal={arXiv preprint arXiv:1803.04041},
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year={2018}
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}
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@article{Mazel2019,
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title={High-density hard-core model on $\mathbb{Z}^2$ and norm equations in ring $\mathbb{Z}[\sqrt[6]{-1}]$},
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author={Mazel, A and Stuhl, I and Suhov, Y},
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journal={arXiv preprint arXiv:1909.11648},
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year={2019}
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}
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@article{Mazel2020,
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title={The hard-core model on planar lattices: the disk-packing problem and high-density Gibbs distributions},
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author={Mazel, A and Stuhl, I and Suhov, Y},
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journal={arXiv preprint arXiv:2011.14156},
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year={2020}
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}
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@article{Mazel2021,
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title={Kepler's conjecture and phase transitions in the high-density hard-core model on $\mathbb{Z}^3$},
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author={Mazel, A and Stuhl, I and Suhov, Y},
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journal={arXiv preprint arXiv:2112.14250},
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year={2021}
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}
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% Voronoi diagram for graphs
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@article{Mehlhorn1988,
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title={A faster approximation algorithm for the Steiner problem in graphs},
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author={Mehlhorn, Kurt},
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journal={Information Processing Letters},
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volume={27},
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number={3},
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pages={125--128},
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year={1988},
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publisher={Elsevier}
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}
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@article{Erwig2000,
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title={The graph Voronoi diagram with applications},
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author={Erwig, Martin},
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journal={Networks: An International Journal},
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volume={36},
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number={3},
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pages={156--163},
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year={2000},
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publisher={Wiley Online Library}
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}
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% Voronoi dual on graphs
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@article{Honiden2010,
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title={Approximate shortest path queries using Voronoi duals},
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author={Honiden, Shinichi and Houle, Michael E and Sommer, Christian and Wolff, Martin},
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journal={Transactions on computational science IX: special issue on Voronoi diagrams in science and engineering},
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pages={28--53},
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year={2010},
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publisher={Springer}
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}
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% Pirogov-Sinai theory
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@article{Pirogov1975,
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title={Phase diagrams of classical lattice systems},
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author={Pirogov, SA and Sinai, Ya G},
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journal={Theoretical and Mathematical Physics},
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volume={25},
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number={3},
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pages={1185--1192},
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year={1975}
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}
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@article{Zahradnk1984,
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title={An alternate version of Pirogov-Sinai theory},
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author={Milo{\v s} Zahradn{\'i}k},
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journal={Communications in Mathematical Physics},
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year={1984},
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volume={93},
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pages={559-581}
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}
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@article{Borgs1989,
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title={A unified approach to phase diagrams in field theory and statistical mechanics},
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author={Borgs, Christian and Imbrie, John Z},
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journal={Communications in mathematical physics},
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volume={123},
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number={2},
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pages={305--328},
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year={1989},
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publisher={Springer}
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}
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@book{Presutti2008,
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title={Scaling limits in statistical mechanics and microstructures in continuum mechanics},
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author={Presutti, Errico},
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year={2008},
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publisher={Springer Science \& Business Media}
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}
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% m-potential
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@article{Holsztynski1978,
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title={Peierls condition and number of ground states},
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author={Holsztynski, W and Slawny, J},
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journal={Communications in Mathematical Physics},
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volume={61},
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pages={177--190},
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year={1978},
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publisher={Springer}
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}
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% Cluster expansion
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@book{Friedli2017,
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title={Statistical mechanics of lattice systems: a concrete mathematical introduction},
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author={Friedli, Sacha and Velenik, Yvan},
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year={2017},
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publisher={Cambridge University Press}
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}
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@article{Ueltschi2003,
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author = {Ueltschi, Daniel},
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year = {2003},
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month = {05},
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pages = {},
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title = {Cluster Expansions and Correlation Functions},
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volume = {4},
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journal = {Moscow Mathematical Journal},
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doi = {10.17323/1609-4514-2004-4-2-511-522}
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}
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% GFc's
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@article{Timar2013,
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title={Boundary-connectivity via graph theory},
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author={Tim{\'a}r, {\'A}d{\'a}m},
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journal={Proceedings of the American Mathematical Society},
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volume={141},
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number={2},
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pages={475--480},
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year={2013}
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}
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@article{Gaunt1965,
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title={Hard-sphere lattice gases. I. Plane-square lattice},
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author={Gaunt, David S and Fisher, Michael E},
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journal={The Journal of Chemical Physics},
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volume={43},
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number={8},
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pages={2840--2863},
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year={1965},
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publisher={American Institute of Physics}
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}
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% Sphere packing
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@article{Hales2005,
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title={A proof of the Kepler conjecture},
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author={Hales, Thomas C},
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journal={Annals of mathematics},
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pages={1065--1185},
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year={2005},
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publisher={JSTOR}
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}
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@article{Hales2010,
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title={The dodecahedral conjecture},
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author={Hales, Thomas and McLaughlin, Sean},
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journal={Journal of the American Mathematical Society},
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volume={23},
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number={2},
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pages={299--344},
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year={2010}
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}
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@article{Berryman1983,
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title={Random close packing of hard spheres and disks},
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author={Berryman, James G},
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journal={Physical Review A},
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volume={27},
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number={2},
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pages={1053},
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year={1983},
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publisher={APS}
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}
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@article{Adams1972,
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title={Computation of dense random packings of hard spheres},
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author={Adams, DJ and Matheson, AJ},
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journal={The Journal of Chemical Physics},
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volume={56},
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number={5},
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pages={1989--1994},
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year={1972},
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publisher={American Institute of Physics}
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}
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@article{Viazovska2017,
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title={The sphere packing problem in dimension 8},
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author={Viazovska, Maryna S},
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journal={Annals of Mathematics},
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pages={991--1015},
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year={2017},
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publisher={JSTOR}
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}
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@article{Cohn2017,
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title={The sphere packing problem in dimension 24},
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author={Cohn, Henry and Kumar, Abhinav and Miller, Stephen and Radchenko, Danylo and Viazovska, Maryna},
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journal={Annals of Mathematics},
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volume={185},
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number={3},
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pages={1017--1033},
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year={2017},
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publisher={Department of Mathematics, Princeton University Princeton, New Jersey, USA}
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}
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@article{Isobe2015,
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title={Hard-sphere melting and crystallization with event-chain Monte Carlo},
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author={Isobe, Masaharu and Krauth, Werner},
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journal={The Journal of chemical physics},
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volume={143},
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number={8},
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pages={084509},
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year={2015},
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publisher={AIP Publishing LLC}
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}
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% Sliding
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@article{Hadas2022,
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title={Columnar order in random packings of $2\times 2$ squares on the square lattice},
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author={Hadas, Daniel and Peled, Ron},
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journal={arXiv preprint arXiv:2206.01276},
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year={2022}
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}
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% Physics
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@article{WJ57, doi = {10.1063/1.1743956}, url = {https://doi.org/10.1063%2F1.1743956}, year = 1957, month = {nov},publisher = {{AIP} Publishing}, volume = {27}, number = {5}, pages = {1207--1208}, author = {W. W. Wood and J. D. Jacobson}, title = {Preliminary Results from a Recalculation of the Monte Carlo Equation of State of Hard Spheres}, journal = {The Journal of Chemical Physics} }
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@article{AW57, doi = {10.1063/1.1743957}, url = {https://doi.org/10.1063%2F1.1743957}, year = 1957, month = {nov},publisher = {{AIP} Publishing}, volume = {27}, number = {5}, pages = {1208--1209}, author = {B. J. Alder and T. E. Wainwright}, title = {Phase Transition for a Hard Sphere System}, journal = {The Journal of Chemical Physics} }
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@article{PM86, doi = {10.1038/320340a0}, url = {https://doi.org/10.1038%2F320340a0}, year = 1986, month = {mar},publisher = {Springer Nature}, volume = {320}, number = {6060}, pages = {340--342}, author = {P. N. Pusey and W. van Megen}, title = {Phase behaviour of concentrated suspensions of nearly hard colloidal spheres}, journal = {Nature} }
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@article{St88, doi = {10.1103/revmodphys.60.161}, url = {https://doi.org/10.1103%2Frevmodphys.60.161}, year = 1988, month = {jan}, publisher = {American Physical Society ({APS})}, volume = {60}, number = {1}, pages = {161--207}, author = {Katherine J. Strandburg}, title = {Two-dimensional melting}, journal = {Reviews of Modern Physics} }
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@book{Mc10, title={Advanced statistical mechanics}, author={McCoy, Barry M}, series={International Series of Monographs on Physics}, volume={146}, year={2010}, publisher={Oxford University Press}}
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@article{BK11, doi = {10.1103/physrevlett.107.155704}, url = {https://doi.org/10.1103%2Fphysrevlett.107.155704}, year = 2011, month = {oct}, publisher = {American Physical Society ({APS})}, volume = {107}, number = {15},author = {Etienne P. Bernard and Werner Krauth}, title = {Two-Step Melting in Two Dimensions: First-Order Liquid-Hexatic Transition}, journal = {Physical Review Letters} , pages={155704}}
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% High fugacity expansions
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@article{Do68, doi = {10.1007/bf01075682}, url = {https://doi.org/10.1007%2Fbf01075682}, year = 1969, publisher = {Springer Nature}, volume = {2}, number = {4}, pages = {302--312}, author = {R. L. Dobrushin}, title = {The problem of uniqueness of a gibbsian random field and the problem of phase transitions}, journal = {Functional Analysis and Its Applications} }
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@article{HP74, doi = {10.1088/0305-4470/7/15/017}, url = {https://doi.org/10.1088%2F0305-4470%2F7%2F15%2F017}, year = 1974, month = {oct}, publisher = {{IOP} Publishing}, volume = {7}, number = {15}, pages = {1913--1917}, author = {O J Heilmann and E Praestgaard}, title = {Phase transition in a lattice gas with third nearest neighbour exclusion on a square lattice}, journal = {Journal of Physics A: Mathematical, Nuclear and General} }
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@article{EB05, doi = {10.1209/epl/i2005-10166-3}, url = {https://doi.org/10.1209%2Fepl%2Fi2005-10166-3}, year = 2005, month = {sep}, publisher = {{IOP} Publishing}, volume = {71}, number = {6}, pages = {900--905}, author = {E Eisenberg and A Baram}, title = {A first-order phase transition and a super-cooled fluid in a two-dimensional lattice gas model}, journal = {Europhysics Letters ({EPL})} }
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% Exactly solvable
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@book{Ba82, title={Exactly solved models in statistical mechanics}, author={Baxter, Rodney J}, year={1982}, publisher={Academic Press}}
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% Lee-Yang
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@article{YL52, doi = {10.1103/physrev.87.404}, url = {https://doi.org/10.1103%2Fphysrev.87.404}, year = 1952, month = {aug}, publisher = {American Physical Society ({APS})}, volume = {87}, number = {3}, pages = {404--409}, author = {C. N. Yang and T. D. Lee}, title = {Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation}, journal = {Physical Review} }
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@article{LY52, doi = {10.1103/physrev.87.410}, url = {https://doi.org/10.1103%2Fphysrev.87.410}, year = 1952, month = {aug}, publisher = {American Physical Society ({APS})}, volume = {87}, number = {3}, pages = {410--419}, author = {T. D. Lee and C. N. Yang}, title = {Statistical Theory of Equations of State and Phase Transitions. {II}. Lattice Gas and Ising Model}, journal = {Physical Review} }
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% Mayer expansion
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@article{Ma37, doi = {10.1063/1.1749933}, url = {https://doi.org/10.1063%2F1.1749933}, year = 1937, month = {jan},publisher = {{AIP} Publishing}, volume = {5}, number = {1}, pages = {67--73}, author = {Joseph E. Mayer}, title = {The Statistical Mechanics of Condensing Systems. I}, journal = {The Journal of Chemical Physics} }
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@article{Ur27, doi = {10.1017/s0305004100011191}, url = {https://doi.org/10.1017%2Fs0305004100011191}, year = 1927, month = {apr}, publisher = {Cambridge University Press ({CUP})}, volume = {23}, number = {06}, pages = {685}, author = {H. D. Ursell}, title = {The evaluation of Gibbs{\textquotesingle} phase-integral for imperfect gases}, journal = {Mathematical Proceedings of the Cambridge Philosophical Society} }
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@article{Ru63, doi = {10.1016/0003-4916(63)90336-1}, url = {https://doi.org/10.1016%2F0003-4916%2863%2990336-1}, year = 1963, month = {oct}, publisher = {Elsevier {BV}}, volume = {25}, number = {1}, pages = {109--120}, author = {David Ruelle}, title = {Correlation functions of classical gases}, journal = {Annals of Physics} }
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% Textbook
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@book{FV17, doi = {10.1017/9781316882603}, url = {https://doi.org/10.1017%2F9781316882603}, year = 2017, month = {nov}, publisher = {Cambridge University Press}, author = {Sacha Friedli and Yvan Velenik}, title = {Statistical Mechanics of Lattice Systems} }
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