Geometric variational problems of statistical mechanics and of combinatorics
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Publication:2737877
DOI10.1063/1.533191zbMath1052.82003arXivmath-ph/0002035OpenAlexW2021065060MaRDI QIDQ2737877
Publication date: 30 August 2001
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0002035
Combinatorial aspects of representation theory (05E10) Statistical mechanics of crystals (82D25) Combinatorial probability (60C05) Classical equilibrium statistical mechanics (general) (82B05) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24)
Related Items (3)
Gibbs ensembles of nonintersecting paths ⋮ Limit shapes of Gibbs distributions on the set of integer partitions: The expansive case ⋮ Applications of the Wulff construction to number theory
Cites Work
- Statistical mechanics of combinatorial partitions, and their limit shapes
- The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation
- Asymptotics of maximal and typical dimensions of irreducible representations of a symmetric group
- Dobrushin-Kotecký-Shlosman theorem up to the critical temperature
- Large deviations for the 2D Ising model: A lower bound without cluster expansions
- Exact large deviation bounds up to \(T_ c\) for the Ising model in two dimensions
- Limit distribution of the energy of a quantum ideal gas from the viewpoint of the theory of partitions of natural numbers
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