Mod-Gaussian Convergence and Its Applications for Models of Statistical Mechanics
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Publication:2798588
DOI10.1007/978-3-319-18585-9_17zbMath1336.60046arXiv1409.2849OpenAlexW2202513928MaRDI QIDQ2798588
Ashkan Nikeghbali, Pierre-Loïc Méliot
Publication date: 13 April 2016
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.2849
Central limit and other weak theorems (60F05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
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Cites Work
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- Stein's method for dependent random variables occuring in statistical mechanics
- A characterization of limiting functions arising in mod-* convergence
- Local limit theorems via Landau-Kolmogorov inequalities
- On analytic characteristic functions
- Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
- Mod-ϕ Convergence
- Mod‐Gaussian convergence and the value distribution of ζ(½ + it ) and related quantities
- Mod-Gaussian convergence: new limit theorems in probability and number theory
- Mod-Poisson Convergence in Probability and Number Theory
- On a Method of Calculation of Semi-Invariants
- Limit theorems for sums of dependent random variables occurring in statistical mechanics
- Limit theorems for sums of dependent random variables occurring in statistical mechanics
- Mod- Convergence
- Statistical Mechanics of Disordered Systems
- [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
- Mathematical analysis II. Transl. from the 4th Russian edition by Roger Cooke