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Dec 31, 2015 at 13:16 comment added Steve Huntsman @Turbo - Treat the heat kernel as a transition density as in section 4.1 of the book mentioned in my comment above
Dec 31, 2015 at 8:46 comment added Turbo @SteveHuntsman Could you please comment more on 'There are probabilistic proofs ....... anything else that can be done with a heat kernel' and please provide some references ('any other non-trivial examples other than index theorem')?
Feb 8, 2012 at 0:02 comment added Steve Huntsman amazon.com/Stochastic-Analysis-Manifolds-Graduate-Mathematics/…
Feb 7, 2012 at 19:44 comment added Paul Siegel This is obviously a very old answer, but I see that you're still active on MO. Would you happen to have a reference for the probabilistic proof of Atiyah-Singer that you mention? Is it substantially different from the usual heat kernel approach?
Dec 18, 2009 at 6:31 history answered Steve Huntsman CC BY-SA 2.5