Author:
Raimond Olivier,Riabov Georgii
Abstract
UDC 519.21
We consider stochastic flows of measurable mappings in a locally compact separable metric space
(
M
,
ρ
)
and propose a new construction that produces strong measurable continuous modifications for certain stochastic flows of measurable mappings in metric graphs.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Reference24 articles.
1. M. Barlow, J. Pitman, M. Yor, On Walsh’s Brownian motions, Séminaire de probabilités XXIII, Lect. Notes Math., 1372, 275–293 (1989).
2. K. Burdzy, H. Kaspi, Lenses in skew Brownian flow, Ann. Probab., 32, № 4, 3085–3115 (2004); DOI: 10.1214/ 009117904000000711.
3. R. W. R. Darling, Constructing nonhomeomorphic stochastic flows, Mem. Amer. Math. Soc., vol. 376, Amer. Math. Soc., Providence, RI (1987); DOI: 10.1090/memo/0376.
4. J. Dieudonné, Foundations of modern analysis, Pure and Appl. Math., vol. 10, Academic Press, New York (1960).
5. A. Dvoretzky, P. Erdős, S. Kakutani, Nonincrease everywhere of the Brownian motion process, Proc. 4th Berkeley Symp. Math. Stat. and Probab., 2, 103–116 (1961).