Probabilistic approach to the equilibrium problem in potential theory

From MaRDI portal
Publication:2559749

DOI10.5802/aif.479zbMath0258.31012OpenAlexW2079580718MaRDI QIDQ2559749

Kai Lai Chung

Publication date: 1973

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1973__23_3_313_0




Related Items (27)

Capacitary moduli for Lévy processes and intersections.Brownian motion with a sticky boundary and point sources in quantum mechanicsPotentials and the distributions of the last exit times of birth and death processesA limiting result for the structure of collisions between many independent diffusionsA reading guide for last passage times with financial applications in viewIntersection-equivalence of Brownian paths and certain branching processesA new setting for potential theory. IDiscrete fractal dimensions of the ranges of random walks in \(\mathbb Z^d\) associate with random conductancesSkew Brownian diffusions across Koch interfacesMoments and distributions of the last exit times for a class of Markov processesThe characterization of equilibrium potentials and last exit distributions for elliptic diffusion processesLong time asymptotics for the shrinking wiener sausageNaturality, standardness, and weak duality for Markov processesRemarks on equilibrium potential and energyPotential theory, path integrals and the Laplacian of the indicatorIntersections of Markov random setsA probabilistic approach to one class of nonlinear differential equationsExcessiveness of harmonic functions for certain diffusionsPriors leading to well-behaved Coulomb and Riesz gases versus zeroth-order phase transitions -- a potential-theoretic characterizationUnnamed ItemMarkov processes with identical last exit distributionsRepresenting last exit potentials as potentials of measuresKac's moment formula and the Feynman-Kac formula for additive functionals of a Markov processLifschitz tail and Wiener sausage. ILifschitz tail and Wiener sausage. IIEquilibrium measures on treesCapacity theory without duality



Cites Work


This page was built for publication: Probabilistic approach to the equilibrium problem in potential theory