2019/11/05 by Arnaud Le Ny, Ny, Arnaud Le
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1911.01860
openalex publication_date 2019/11/05 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
This review-type paper is based on a talk given at the conference 'Etats\nde la Recherche en M 'ecanique statistique, which took place at IHP in Paris\n(December 10-14, 2018). We revisit old results from the 80's about one\ndimensional long-range polynomially decaying Ising models (often called Dyson\nmodels in dimension one) and describe more recent results about interface\nfluctuations and interface states in dimensions one and two.\n