Spectral analysis of a class of Lévy-type processes and connection with some spin systems

DOI10.1214/23-aihp1416MaRDI QIDQ6663950

Grégoire Véchambre

Publication date: 15 January 2025

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

zbMATH Keywords

partition functionfree energyspectral gapsurvival probabilityspin systemsinterface modelsLévy-type processesinfinite-volume Gibbs states

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Local time and additive functionals (60J55) Transition functions, generators and resolvents (60J35)

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