KUNITA-TYPE STOCHASTIC FLOWS OF HOMEOMORPHISMS IN EUCLIDEAN SPACE

DOI10.1142/S0219025707002853zbMath1147.60037OpenAlexW2059837314MaRDI QIDQ5386884

Zongxia Liang

Publication date: 14 May 2008

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/s0219025707002853

zbMATH Keywords

stochastic flowGronwall-Bellman lemmanon-Lipschitz coefficienthomotopy and homeomorphismKolmogorov's modification theorem

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Homotopy equivalences in algebraic topology (55P10) Sample path properties (60G17)

Related Items (1)

ERRATA: "KUNITA-TYPE STOCHASTIC FLOWS OF HOMEOMORPHISMS IN EUCLIDEAN SPACE"

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic differential equations driven by spatial parameters semimartingale with non-Lipschitz local characteristic
• Inequalities for differential and integral equations
• On a type of stochastic differential equations driven by countably many Brownian motions
• Existence and pathwise uniqueness of solutions for stochastic differential equations with respect to martingales in the plane
• Canonical Brownian motion on the diffeomorphism group of the circle
• Modulus of continuity of the canonic Brownian motion ``on the group of diffeomorphisms of the circle
• Homeomorphic property of solutions of SDE driven by countably many Brownian motions with non-Lipschitzian coefficients
• Homeomorphic flows for multi-dimensional SDEs with non-Lipschitz coefficients
• Freidlin-Wentzell's large deviations for homeomorphism flows of non-Lipschitz SDEs
• The canonic diffusion above the diffeomorphism group of the circle

This page was built for publication: KUNITA-TYPE STOCHASTIC FLOWS OF HOMEOMORPHISMS IN EUCLIDEAN SPACE