2 papers
math.PR2008
Relationship between stochastic flows and connection forms
M. Neklyudov
In this article I will prove new representation for the Levi-Civita connection in terms of the stochastic flow corresponding to Brownian motion on manifold.
math.AP2008
Beale-Kato-Majda type condition for Burgers equation
Ben Goldys, Misha Neklyudov
We consider a multidimensional Burgers equation on the torus and the whole space $\Rd$. We show that, in case of the torus, there exists a unique global solution in…