Olivier Bernardi
Brandeis University
,
Department of Mathematics
, Goldsmith 301 -- MS 050
415 South Street, Waltham, MA 02453, USA
Phone: 781 736 3061
email:
bernardi at brandeis.edu
About
Teaching
Publications
Slides
Links
Bijections for maps: beautiful and powerful.
Introduction
.
Part A: Bijections of Shaeffer type
.
Part B: Bijections of Mullin type
.
Minicourse given at
Ecole Normal Superieure de Lyon
, for the workshop
Random maps and matrices from a geometric perspective
, May 2019.
Percolation on triangulations: A bijective path to Liouville quantum gravity
.
Talk given at
MIT
, Cambridge, March 2019.
Chromatic polynomial, acyclic orientations and heap theory
.
Talk given at
AMS-MMA Joint meeting
, Baltimore, January 2019.
A Tutte polynomial for directed graphs
.
Talk given at
Brandeis University
, Waltham, November 2018.
Counting walks in the quarter plane
.
Talk given at the conference
FPSAC 2016
, Vancouver, July 2016.
Deformation of the braid arrangement and trees
.
Talk given at
MIT
, Cambridge, February 2016.
Differential Equations for Colored Maps
.
Talk given at
Newton Institute
, Cambridge UK, April 2015.
Symmetries in trees
(Part 1 = multitype Cayley trees, Part 2= spanning trees of hypercube).
Talk given at
McGill University
, Montreal, September 2013.
Unified bijective framework for planar maps
.
Talk given at the conference
FPSAC 2013 (keynote speaker)
, Paris, June 2013.
Counting one-face maps and one-face constellations
.
Talk given at the Workshop
Journee Cartes
, Paris, June 2013.
Random Colored Maps
.
Talk given at
Brandeis University
, Waltham, February 2013.
Shuffling properties of products of random permutations
.
Talk given at the
SIAM Conference in Discrete Mathematics 2012
, Halifax, June 2012.
A master bijection for planar maps, and its applications
.
Talk given at
UCLA
, Los Angeles, March 2011.
Computing the moments of the GOE bijectively
.
Talk given at
MIT
, Cambridge, February 2011.
A Short proof for Rayleigh's Theorem (a.k.a. Spitzer walk)
.
A short talk given at
Microsoft Research
, Redmond, January 2011.
Counting coloured maps: algebraicity results
.
Talk given at
Institut Henri Poincaré
, Paris, November 2009.
Scaling limit of random planar maps. Lecture 1.
Scaling limit of random planar maps. Lecture 2.
Lectures given at the
Enumeration and randomness workshop
, Temuco, November 2008.
A bijection for covered maps on orientable surfaces
.
Talk given at the
Newton Institute
, Cambridge, April 2008.
Growth of minor-closed classes of graphs
.
Talk given at
Humboldt University
, Berlin, June 2007.
Catalan intervals and realizers of triangulations
.
Talk given at
CRM Combinatorics Seminar
, Barcelona, May 2007.
The Tutte polynomial and a bijection between subgraphs and orientations
.
Talk given at
CRM Combinatorics Seminar
, Barcelona, October 2006.
Solution to a problem arising from Mayer s theory of cluster integrals
.
Talk given at
57th Séminaire Lotharingien de combinatoire
, Ottrot, October 2006.
Combinatoire des cartes et polynôme de Tutte
(French).
The academic defense of my dissertation. LaBRI, Bordeaux, September 2006.
Kreweras walks and loopless triangulations
.
Talk given at
MIT Combinatorics Seminar
, Cambridge, March 2006. A
French version
is also available.
Bijective counting of tree-rooted maps
.
Talk given at
Waterloo University Combinatorics and Optimization Seminar
, Waterloo, March 2006. A
French version
is also available.
A characterization of the Tutte polynomial via combinatorial embedding
(French).
Talk given at
LaCIM Combinatorics Seminar
, Montreal, February 2006.
Comptage des triangulations de haut degré
(French).
Talk given at
Journées arbres et objets combinatoire
, Bordeaux November 2004.