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Heat kernel estimates for Laplace operators on metric trees

Date: 
Wednesday 28th July 2010 - 11:15 to 12:00
Venue: 
INI Seminar Room 1
Abstract: 
We consider the integral kernel of the semigroup generated by a differential Laplace operator on certain class of infinite metric trees. We will show how the time decay of the heat kernel depends on the geometry of the tree. (This is a joint work with Rupert Frank).
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons