630 lines
21 KiB
BibTeX
630 lines
21 KiB
BibTeX
@book{billingsley2013convergence,
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title={Convergence of probability measures},
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author={Billingsley, Patrick},
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year={2013},
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publisher={John Wiley \& Sons}
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}
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@article{frohlich1978phase,
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title={Phase transitions in anisotropic lattice spin systems},
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author={Fr{\"o}hlich, J{\"u}rg and Lieb, Elliott H},
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journal={Communications in Mathematical Physics},
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volume={60},
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number={3},
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pages={233--267},
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year={1978},
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publisher={Springer}
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}
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@book{ethier2009markov,
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title={Markov processes: characterization and convergence},
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author={Ethier, Stewart N and Kurtz, Thomas G},
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year={2009},
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publisher={John Wiley \& Sons}
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}
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@article{ruelle1971existence,
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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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@article{johansson1995separation,
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title={On separation of phases in one-dimensional gases},
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author={Johansson, Kurt},
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journal={Communications in mathematical physics},
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volume={169},
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pages={521--561},
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year={1995},
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publisher={Springer}
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}
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@article{Friedrich22,
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author = {Friedrich, Tobias and G{\"o}bel, Andreas and Krejca, Martin S and Pappik, Marcus},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {SIAM Journal on Discrete Mathematics},
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number = {3},
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pages = {2282--2322},
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publisher = {SIAM},
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title = {A spectral independence view on hard spheres via block dynamics},
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volume = {36},
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year = {2022}}
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@article{Bernal33,
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author = {Bernal, John D and Fowler, Ralph H},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {The Journal of Chemical Physics},
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number = {8},
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pages = {515--548},
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publisher = {American Institute of Physics},
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title = {A theory of water and ionic solution, with particular reference to hydrogen and hydroxyl ions},
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volume = {1},
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year = {1933}}
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@article{Zahradnik84,
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author = {Zahradn{\'\i}k, Milo{\v{s}}},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {Communications in Mathematical Physics},
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pages = {559--581},
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publisher = {Springer},
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title = {An alternate version of Pirogov-Sinai theory},
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volume = {93},
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year = {1984}}
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@article{mcdonald1972equation,
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author = {McDonald, IR and Singer, K},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {Molecular Physics},
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number = {1},
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pages = {29--40},
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publisher = {Taylor \& Francis},
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title = {An equation of state for simple liquids},
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volume = {23},
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year = {1972}}
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@article{Houdebert22,
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author = {Houdebert, Pierre and Zass, Alexander},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {Journal of Applied Probability},
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number = {2},
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pages = {541--555},
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publisher = {Cambridge University Press},
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title = {An explicit Dobrushin uniqueness region for Gibbs point processes with repulsive interactions},
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volume = {59},
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year = {2022}}
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@article{michelen2023analyticity,
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author = {Michelen, Marcus and Perkins, Will},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {Communications in Mathematical Physics},
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number = {1},
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pages = {367--388},
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publisher = {Springer},
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title = {Analyticity for classical gasses via recursion},
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volume = {399},
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year = {2023}}
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@article{Timar2013,
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author = {Tim{\'a}r, {\'A}d{\'a}m},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {Proceedings of the American Mathematical Society},
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number = {2},
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pages = {475--480},
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title = {Boundary-connectivity via graph theory},
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volume = {141},
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year = {2013}}
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@article{Liu21,
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author = {Liu, Hongqin},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {Molecular Physics},
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number = {9},
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pages = {e1886364},
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publisher = {Taylor \& Francis},
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title = {Carnahan-Starling type equations of state for stable hard disk and hard sphere fluids},
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volume = {119},
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year = {2021}}
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@article{DeMasi09,
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author = {De Masi, Anna and Merola, Immacolata and Presutti, Errico and Vignaud, Yvon},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {Journal of Statistical Physics},
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pages = {243--306},
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publisher = {Springer},
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title = {Coexistence of ordered and disordered phases in Potts models in the continuum},
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volume = {134},
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year = {2009}}
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@article{Brydges86,
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author = {Brydges, David C},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {Journal of Statistical Physics},
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pages = {425--435},
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publisher = {Springer},
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title = {Convergence of Mayer expansions},
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volume = {42},
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year = {1986}}
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@article{Pulvirenti15,
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author = {Pulvirenti, Elena and Tsagkarogiannis, Dimitrios},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {Journal of Statistical Physics},
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pages = {1017--1039},
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publisher = {Springer},
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title = {Finite volume corrections and decay of correlations in the canonical ensemble},
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volume = {159},
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year = {2015}}
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@article{Tarazona85,
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author = {Tarazona, Pedro},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {Physical Review A},
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number = {4},
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pages = {2672},
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publisher = {APS},
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title = {Free-energy density functional for hard spheres},
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volume = {31},
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year = {1985}}
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@article{Maxwell75,
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abstract = {WHEN any phenomenon can be described as an example of some general principle which is applicable to other phenomena, that phenomenon is said to be explained. Explanations, however, are of very various orders, according to the degree of generality of the principle which is made use of. Thus the person who first observed the effect of throwing water into a fire would feel a certain amount of mental satisfaction when he found that the results were always similar, and that they did not depend on any temporary and capricious antipathy between the water and the fire. This is an explanation of the lowest order, in which the class to which the phenomenon is referred consists of other phenomena which can only be distinguished from it by the place and time of their occurrence, and the principle involved is the very general one that place and time are not among the conditions which determine natural processes. On the other hand, when a physical phenomenon can be completely described as a change in the configuration and motion of a material system, the dynamical explanation of that phenomenon is said to be complete. We cannot conceive any further explanation to be either necessary, desirable, or possible, for as soon as we know what is meant by the words configuration, motion, mass, and force, we see that the ideas which they represent are so elementary that they cannot be explained by means of anything else.},
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author = {Clerk-Maxwell, J.},
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da = {1875/03/01},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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doi = {10.1038/011357a0},
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id = {CLERK-MAXWELL1875},
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isbn = {1476-4687},
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journal = {Nature},
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number = {279},
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pages = {357--359},
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title = {On the Dynamical Evidence of the Molecular Constitution of Bodies},
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ty = {JOUR},
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url = {https://doi.org/10.1038/011357a0},
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volume = {11},
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year = {1875},
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bdsk-url-1 = {https://doi.org/10.1038/011357a0}}
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@book{van73,
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author = {Van der Waals, Johannes Diderik},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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publisher = {Sijthoff},
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title = {Over de Continuiteit van den Gas- en Vloeistoftoestand},
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volume = {1},
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year = {1873}}
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@article{Anand23,
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author = {Anand, Konrad and G{\"o}bel, Andreas and Pappik, Marcus and Perkins, Will},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {arXiv preprint arXiv:2305.02450},
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title = {Perfect Sampling for Hard Spheres from Strong Spatial Mixing},
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year = {2023}}
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@article{bodineau1997phase,
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author = {Bodineau, T and Presutti, E},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {Communications in mathematical physics},
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pages = {287--298},
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title = {Phase diagram of {I}sing systems with additional long range forces},
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volume = {189},
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year = {1997}}
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@article{cassandro1996phase,
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author = {Cassandro, M and Presutti, E},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {Markov Process. Related Fields},
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number = {2},
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pages = {241--262},
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title = {Phase transitions in {I}sing systems with long but finite range interactions},
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author = {Hansen, Jean-Pierre and Verlet, Loup},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {physical Review},
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number = {1},
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pages = {151},
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year = {1969}}
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@article{michelen2021potential,
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author = {Michelen, Marcus and Perkins, Will},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {arXiv preprint arXiv:2109.01094},
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title = {Potential-weighted connective constants and uniqueness of Gibbs measures},
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year = {2021}}
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@article{DeMasi08,
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author = {De Masi, Anna and Merola, Immacolata and Presutti, Errico and Vignaud, Yvon},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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journal = {Journal of Statistical Physics},
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pages = {281--345},
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publisher = {Springer},
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title = {Potts models in the continuum. Uniqueness and exponential decay in the restricted ensembles},
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volume = {133},
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year = {2008}}
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@book{Presutti08,
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author = {Presutti, Errico},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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publisher = {Springer Science \& Business Media},
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title = {Scaling limits in statistical mechanics and microstructures in continuum mechanics},
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year = {2008}}
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@book{friedli2017statistical,
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author = {Friedli, Sacha and Velenik, Yvan},
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date-added = {2024-09-19 22:35:02 -0400},
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date-modified = {2024-09-19 22:35:02 -0400},
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publisher = {Cambridge University Press},
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title = {Statistical mechanics of lattice systems: a concrete mathematical introduction},
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year = {2017}}
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@book{Ruelle69,
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author = {Ruelle, David},
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date-added = {2024-09-19 22:35:02 -0400},
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title = {Statistical mechanics: Rigorous results},
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year = {1969}}
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@article{Michelen22,
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author = {Michelen, Marcus and Perkins, Will},
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date-added = {2024-09-19 22:35:02 -0400},
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journal = {Journal of Statistical Physics},
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title = {Strong spatial mixing for repulsive point processes},
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volume = {189},
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year = {2022}}
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author = {Santos, Andr{\'e}s and Yuste, Santos B and Lopez de Haro, Mariano},
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date-added = {2024-09-19 22:35:02 -0400},
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journal = {The Journal of Chemical Physics},
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year = {2020}}
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author = {Bovier, Anton and Zahradn{\'\i}k, Milo{\v{s}}},
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journal = {Journal of statistical physics},
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pages = {439--462},
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author = {Pechersky, E and Zhukov, Yu},
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journal = {Journal of Statistical Physics},
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pages = {145--172},
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number = {4},
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author = {Presutti, Errico},
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publisher = {Springer Science \& Business Media},
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title = {Scaling limits in statistical mechanics and microstructures in continuum mechanics},
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year = {2008}}
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title={Columnar order in random packings of $2\times2$ squares on the square lattice},
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author={Hadas, Daniel and Peled, Ron},
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journal={Journal of the European Mathematical Society},
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journal = {Journal of Mathematical Physics},
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