Exponential growth rate for derivatives of stochastic flows

Details Exponential growth rate for derivatives of stochastic flows Exponential growth rate for derivatives of stochastic flows

2011-03-15

arxiv.org/abs/1103.2979v1

Mathematics

Probability

Scientific paper

We show that for a large class of stochastic flows the spatial derivative
grows at most exponentially fast even if one takes the supremum over a bounded
set of initial points. We derive explicit bounds on the growth rates that
depend on the local characteristics of the flow and the box dimension of the
set.

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