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A multi-scale refinement of the second moment method Co-authors: L.P

Date: 
Thursday 19th March 2015 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
Arguin, D. Belius, A. Bovier and M. Schmidt I will present a version of the second moment method which is particularly efficient to analyze the extremes of random fields where multiple scales can be identified. The method emerged from work on the extremes of branching Brownian motion, joint with Louis-Pierre Arguin (CUNY) and Anton Bovier (Bonn), and from work with David Belius (NYU) on the cover time by planar Brownian motion. I will also discuss a model which interpolates between Derrida's REM and branching random walks, thereby neatly showing how an increasing number of scales affects the extremes of random fields (joint with Marius Schmidt, Frankfurt). Time permitting, I will conclude with some pointers on a procedure of local projections which allows, in a number of models, to generate scales from first principles.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons