Strong measurable continuous modifications of stochastic flows

Olivier  Raimond; Georgii Riabov

doi:10.3842/umzh.v75i11.7875

Olivier Raimond MODAL'X, Université Paris Nanterre, France
Georgii Riabov Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv

DOI: https://doi.org/10.3842/umzh.v75i11.7875

Keywords: stochastic flows, coalescing flows, metric graphs

Abstract

UDC 519.21

We consider stochastic flows of measurable mappings in a locally compact separable metric space $(M,\rho)$ and propose a new construction that produces strong measurable continuous modifications for certain stochastic flows of measurable mappings in metric graphs.

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