June 6-10, 2016
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Trees and maps form a fertile and vibrant topic of current research, of interest to various communities within the mathematical sciences, in particular combinatorics, probability and mathematical physics. As a consequence, there is a desire for an exchange of ideas between these communities which has never been more timely. This meeting will gather together researchers from around the world, and who come at these models from different perspectives. The aim will be to discuss the most recent progress on random trees and random maps, with a particular emphasis on both their probabilistic aspects (asymptotic geometry, scaling limits) and their combinatorial ones (asymptotic and bijective enumeration), as well as on the theoretical physics motivations for studying them.
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Scientific Committee
Louigi Addario-Berry (McGill University) Organizing Committee Christina Goldschmidt (University of Oxford) Speakers
Convergence of odd angulations
Bootstrap percolation on G (n; p)
Yule processes with strong mutations, and their application to percolation on recursive trees
Vanishing corrections for the position of an FKPP front
Martingales in self-similar growth-fragmentations and their applications
Bipolar orientations in planar maps
Nesting statistics in the O(n) loop model on random planar maps
Geometry of random planar maps with high degrees
Random planar quadrangulations coupled to the O (n) loop model
Genealogical tree for stationnary quadratic branching process
Vertex Degrees in Planar Maps
Decomposition of Lévy trees along their diameter
Iterated shuffle products, random ballot sequences, random trees, and Doob-Martin boundaries
Evolving random genealogies: infinite divisibility and branching property
Infinite volume limit of the splitting vertex trees
Tree self-similarity based on Horton ordering and Tokunaga indexing
Weakly asymmetric bridges and the KPZ equation
Excursion theory for the Brownian snake, and applications to the Brownian map
Harmonic measure of balls in critical Galton-Watson trees
The geometry of large random non-crossing trees
Scaling limits of random planar maps towards the Brownian tree
Convergence of bivariate Markov chains to multi-type self-similar
Lévy trees and continuum limits of inhomogeneous continuum random
Interval-partition-valued diffusions |