Stochastic Taylor expansions and heat kernel asymptotics

Details Stochastic Taylor expansions and heat kernel asymptotics Stochastic Taylor expansions and heat kernel asymptotics

2009-07-15

arxiv.org/abs/0907.2711v1

Mathematics

Probability

Lecture notes of a course given in June 2009 at the Spring school of Mons

Scientific paper

These notes focus on the applications of the stochastic Taylor expansion of
solutions of stochastic differential equations to the study of heat kernels in
small times. As an illustration of these methods we provide a new heat kernel
proof of the Chern-Gauss-Bonnet theorem.

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