Grégory Miermont

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Grégory Miermont

Grégory Miermont (born July 16, 1979 in Paris ) is a French mathematician who deals with probability theory.

Miermont studied from 1998 to 2002 at the École normal supérieure in Paris and received his PhD ( Coalescence, Fragmentation et Processus de Lévy et Arbres Aléatoires ) at the University of Paris VI (Pierre et Marie Curie) in 2003 with Jean Bertoin . In 2001/02 he was at the University of California, Berkeley . From 2004 to 2009 he was Chargé de recherche of the Center national de la recherche scientifique (CNRS) at the University of Paris-Süd and the École Normale Supérieure and completed his habilitation in 2008 ( Arbres, cartes, fragmentationet coalescence aleatoires ). Since 2009 he has been a professor at the University of Paris-South . In the 2011/12 semester he was visiting professor at the University of British Columbia in Canada. Since 2012 he has been a professor at the École normal supérieure de Lyon.

In 2009 he received the Rollo Davidson Prize . In 2012 he received the EMS award . In the laudation, his “outstanding work on scaling limit values ​​of random structures such as trees or flat maps” and his “innovative treatment of random metrics” were highlighted. In particular, he also proved asymptotic formulas for the number of bipartite quadrangulations of a surface (division into a quadrangular network). These define Brownian maps and Miermont proved in 2011 the convergence of the border crossing for such random maps (embedding of graphs in the sphere or other surfaces). Dealing with it has connections to theoretical work on quantum gravity.

In 2009 he received the Rollo-Davidson Prize , in 2014 the Doeblin Prize and in 2015 he was Medaillon Lecturer ( Compact Brownian Surfaces ).

He has worked with Jean-François Le Gall and David Aldous , among others , and is co-editor of the Annales de l ' Institut Henri Poincaré (Series B) and Probability Theory and Related Fields .

Fonts (selection)

  • with D. Aldous, J. Pitman: Brownian Bridge asymptotics for random p-mappings, Electronic J. Prob., Volume 9, 2004, pp. 37-56
  • Self-similar fragmentations derived from the stable tree. I. Splitting at heights, probab. Theory Related Fields, Volume 127, 2003, pp. 423-454
  • mit B. Haas: The genealogy of self-similar fragmentations with negative index as a continuum random tree, Electron. J. Probab, Volume 9, 2004, pp. 57-97
  • Mosaïques sur des cartes aléatoires en genre arbitraire (Tesseltations of random maps of arbitrary genus), Ann. Scientific. École Normale Supérieure, Volume 42, 2009, pp. 725-781
  • The Brownian map is the scaling limit of uniform random plane quadrangulations, Acta Math., Volume 210, 2013, pp. 319-401, Project Euclid , Arxiv
  • with Jean-François Marckert: Invariance principles for random bipartite planar maps, Ann. Probab., Volume 35, 2007, pp. 1642-1705
  • with Mathilde Weill: Radius and profile of random planar maps with faces of arbitrary degrees, Electron. J. Probab., Volume 13, 2008, pp. 79-106
  • Invariance principles for spatial multitype Galton-Watson trees, Ann. Inst. Henri Poincaré Probab. , Stat., Volume 44, 2008, pp. 1128-1161
  • Aspects of Random Maps, Saint-Flour Probability Summer School 2014

Web links

Individual evidence

  1. Fich résumé (PDF file; 1.4 MB)
  2. a b Grégory Miermont (PDF file; 110 kB)
  3. ^ Mathematics Genealogy Project
  4. Laudation for EMS Prize 2012
  5. Acta Mathematica, Volume 210, 2013, pp. 319-401. Also independently proven by Le Gall.
  6. ^ Miermont, St. Flour Lectures, 2014