On the Fock space representation of functionals of the occupation field and their renormalization

DOI10.1016/0022-1236(88)90067-5zbMath0671.60064OpenAlexW1986050659MaRDI QIDQ1119272

Yves Le Jan

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90067-5

zbMATH Keywords

occupation fieldtwo-dimensional Brownian motionrenormalized powersrepresentation of the renormalized powers

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic mechanics (including stochastic electrodynamics) (81P20) Stochastic analysis (60H99)

Related Items (7)

Wiener sausage and self-intersection local times ⋮ Fermionic and supersymmetric stochastic processes ⋮ Markov loops and renormalization ⋮ Functional Representations for Fock Superalgebras ⋮ Interactions between trees and loops, and their representation in Fock space ⋮ An application of Berezin integration to large deviations ⋮ Critical correlation functions for the 4-dimensional weakly self-avoiding walk and \(n\)-component \(|\varphi|^4\) model

Cites Work

• Polynomials of the occupation field and related random fields
• Some connections between excursion theory and the discrete Schrödinger equation with random potentials
• A supersymmetric transfer matrix and differentiability of the density of states in the one-dimensional Anderson model
• Self-intersection gauge for random walks and for Brownian motion
• Existence and uniqueness of physical ground states
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Fock space representation of functionals of the occupation field and their renormalization