Construction of diffusions on current groups

DOI10.1070/SM8537zbMath1394.58019OpenAlexW2759506035MaRDI QIDQ4568559

A. A. Kalinichenko

Publication date: 22 June 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8537

zbMATH Keywords

diffusionBrownian motioninfinite-dimensional stochastic analysiscurrent groups

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60) Loop groups and related constructions, group-theoretic treatment (22E67) Diffusion processes and stochastic analysis on manifolds (58J65)

Cites Work

• Integration on loop groups. I: Quasi invariant measures
• Brownian motion and the heat semigroup on the path space of a compact Lie group
• Integration by parts and quasi-invariance for heat kernel measures on loop groups
• Brownian surfaces with boundary and Deligne cohomology
• Convergence of finite dimensional distributions of heat kernel measures on loop groups
• Twisted sheets
• INTEGRAL REPRESENTATIONS OF CYLINDRICAL LOCAL MARTINGALES IN EVERY SEPARABLE BANACH SPACE
• HEAT KERNEL MEASURE ON LOOP AND PATH GROUPS
• Upper and Lower Bounds for Stochastic Processes
• LARGE DEVIATIONS FOR HEAT KERNEL MEASURES ON LOOP SPACES VIA ROUGH PATHS
• Stochastic Integration in Banach Spaces – a Survey
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Construction of diffusions on current groups