Spin systems from loop soups

DOI10.1214/18-EJP200zbMath1400.82107arXiv1803.03636MaRDI QIDQ1990210

Federico Camia, Marcin Lis, Tim van de Brug

Publication date: 25 October 2018

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.03636

zbMATH Keywords

random fieldconformal invarianceBrownian loop souprandom walk loop soup

Mathematics Subject Classification ID

Random fields (60G60) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Brownian motion (60J65) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Self-similar stochastic processes (60G18) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items

Brownian loops, layering fields and imaginary Gaussian multiplicative chaos ⋮ Scalar conformal primary fields in the Brownian loop soup ⋮ The Brownian loop soup stress-energy tensor ⋮ Conformal covariance of connection probabilities and fields in 2D critical percolation ⋮ Brownian Winding Fields ⋮ Limit theorems for loop soup random variables

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