The purpose of these notes is to explore some simple relations between Markovian path and loop measures, the Poissonian ensembles of loops they determine, their occupation fields, uniform spanning trees, determinants, and Gaussian Markov fields such as the free field. These rela…
M. Brelot: Historical introduction.- H. Bauer: Harmonic spaces and associated Markov processes.- J.M. Bony: Opérateurs elliptiques dégénérés associés aux axiomatiques de la theorie du potentiel.- J. Deny: Méthodes hilbertiennes en theory du potentiel.- J.L. Doob: Martingale theo…
This volume contains the lectures on potential theory from the Centro internazionale matematico estivo (C.I.M.E) held in 1969.
This volume contains the lectures on potential theory from the Centro internazionale matematico estivo (C.I.M.E) held in 1969.
M. Brelot: Historical introduction.- H. Bauer: Harmonic spaces and associated Markov processes.- J.M. Bony: Operateurs elliptiques degeneres associes aux axiomatiques de la theorie du potentiel.- J. Deny: Methodes hilbertiennes en theory du potentiel.- J.L. Doob: Martingale theo…