THE STOCHASTIC LÉVY LAPLACIAN AND YANG–MILLS EQUATION ON MANIFOLDS
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Publication:4460442
DOI10.1142/S0219025701000449zbMath1049.58037OpenAlexW1968197516MaRDI QIDQ4460442
Rémi Léandre, Igor V. Volovich
Publication date: 18 May 2004
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219025701000449
Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Diffusion processes and stochastic analysis on manifolds (58J65)
Related Items (14)
Stochastic Lévy differential operators and Yang–Mills equations ⋮ Даламбертианы Леви и их применение в квантовой теории ⋮ Quantum Lévy Laplacian and associated heat equation ⋮ A Lie algebroid on the Wiener space ⋮ Averaging of random walks and shift-invariant measures on a Hilbert space ⋮ Quantum probability and Levy Laplacians ⋮ Lévy Laplacians, holonomy group and instantons on 4-manifolds ⋮ Lévy Laplacians and instantons ⋮ Applications of Lévy differential operators in the theory of gauge fields ⋮ Lévy Laplacians and instantons on manifolds ⋮ Stochastic Processes Associated with a Sum of the Lévy Laplacians ⋮ Lévy Laplacian on manifold and Yang-Mills heat flow ⋮ Lévy Laplacians in Hida calculus and Malliavin calculus ⋮ Lévy differential operators and Gauge invariant equations for Dirac and Higgs fields
Cites Work
- A Poincaré lemma for connection forms
- Integration by parts formulas and rotationally invariant Sobolev calculus on free loop spaces
- Stochastic calculus with anticipating integrands
- Classifications of bundle connection pairs by parallel translation and lassos
- Non-abelian Stokes formula
- A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold
- Invariant Sobolev calculus on the free loop space
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