# Mathematical Sciences Research Institute

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# Seminar

Tunnel effect and symmetries for Kramers-Fokker-Planck type operators November 05, 2010 (11:00 AM PDT - 12:00 PM PDT)
Parent Program: -- MSRI: Simons Auditorium
Description Speaker: Michael Hitrik

Abstract: We study operators of Kramers-Fokker-Planck type in the semiclassical limit, assuming that the exponent of the associated Maxwellian is a Morse function with a finite number $n_0$ of local minima. Under suitable additional assumptions, we show that the first $n_0$ eigenvalues are real and exponentially small, and establish the complete semiclassical asymptotics for these eigenvalues. This is joint work with Fr\'ed\'eric H\'erau and Johannes Sj"ostrand.

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