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个人简介
The general themes of my research are mathematical equilibrium and non-equilibrium statistical
physics, and interacting particle systems.
Statistical physics studies the emergence of macroscopic
phenomena such as phase transitions and transport phenomena from the microscopic
world of interacting particles (atoms, molecules). It is intimitaly related to probability theory.
Understanding the transition from micro to macro is important both in physics and in biology, e.g. in
1. Describing phase transitions in equilibrium statistical mechanics.
2. Rigorously deriving macroscopic equations such as the diffusion equation from micro dynamics. This is the field of ``hydrodynamic limits''. Understanding the deviations from these equations for finite but large systems (large deviations).
3. Understanding non-equilibrium steady states, i.e., the distribution of microscopic degrees of freedom in a system driven away from equilibrium, e.g. in contact with two heat reservoirs at different temperatures. Typically such non-equilibrium states have long-range correlations.
4. Understanding the dynamics of traits of a population on mesoscopic time scales in evolution (adaptive dynamics).
研究兴趣
论文共 173 篇作者统计合作学者相似作者
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ELECTRONIC JOURNAL OF PROBABILITYno. none (2024): 1-34
arxiv(2024)
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Journal of Theoretical Probabilitypp.1-38, (2024)
arXiv (Cornell University) (2023)
arXiv (Cornell University) (2023)
arXiv (Cornell University) (2023)
JOURNAL OF STATISTICAL PHYSICSno. 4 (2023): 1-19
arxiv(2023)
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