Department of Statistics
Florence Nightingale Bicentennial Fellow
Senior Demy, Magdalen College

brett.kolesnik@stats.ox.ac.uk
24-29 St Giles'
Oxford OX1 3LB UK
 
News

• In Fall 2024, I will join Probability at Warwick as an Assistant Professor (Statistics).
  
• I organized a workshop at the Banff International Research Station (BIRS) in Apr 2024 on Bootstrap Percolation & its Applications, together with József Balogh, Janko Gravner, Karen Gunderson and Rob Morris.
  

    Sinaı̆ excursions
    arXiv:2403.12941

Interests

• Probability theory and discrete mathematics.
  
• Random graphs, geometry, walks, etc.

Coauthors

• Daniel Ahlberg
  
• David Aldous
• Omer Angel
• Eleanor Archer
• Zsolt Bartha
• Matthew Buckland
• Serte Donderwinkel
  
• Persi Diaconis
  
• Janko Gravner
• Ivailo Hartarsky
• Gal Kronenberg
  
• Grégory Miermont
• Rivka Mitchell
• Sam Olesker-Taylor
• Tomasz Przybyłowski
• Mario Sanchez
• Bruno Schapira
• Daniel Valesin
• Nick Wormald

Papers

• Catalan percolation
  with Eleanor Archer, Ivailo Hartarsky, Sam Olesker-Taylor, Bruno Schapira and Daniel Valesin
       arXiv
  
• Critical beta-splitting, via contraction
       arXiv
• Asymptotics for Sinaı̆ excursions
  with Serte Donderwinkel
       arXiv
  
• Tournaments and random walks
  with Serte Donderwinkel
       arXiv
• Random walks on Coxeter interchange graphs
  with Matthew Buckland, Rivka Mitchell and Tomasz Przybyłowski
       arXiv
  
• Tournaments on signed graphs
  with Rivka Mitchell and Tomasz Przybyłowski
       arXiv
  
• H-percolation with a random H
  with Zsolt Bartha and Gal Kronenberg
       arXiv
  
• Coxeter tournaments
  with Mario Sanchez
       arXiv
  
• Annihilating branching Brownian motion
  International Mathematics Research Notices (to appear)
  with Daniel Ahlberg and Omer Angel
       arXiv
  
• The asymptotic number of score sequences
  Combinatorica
       arXiv | journal
• Large deviations of the greedy independent set algorithm on sparse random graphs
  Random Structures & Algorithms
       arXiv | journal
  
• The geometry of random tournaments
  Discrete & Computational Geometry
  with Mario Sanchez
       arXiv | journal
  
• Weakly saturated random graphs
  Random Structures & Algorithms
  with Zsolt Bartha
       arXiv | journal
  
• Transitive closure in a polluted environment
  Annals of Applied Probability
  with Janko Gravner
       arXiv | journal
  
• Randomized sequential importance sampling for estimating the number of perfect matchings in bipartite graphs
  Advances in Applied Mathematics
  with Persi Diaconis
       arXiv | journal
  
• To stay discovered: On tournament mean score sequences and the Bradley–Terry model
  Stochastic Processes and their Applications
  Special Issue: In Memoriam: Larry Shepp
  with David Aldous
       arXiv | journal
  
• The sharp K4-percolation threshold on the Erdős–Rényi random graph
  Electronic Journal of Probability
       arXiv | journal
  
• Large deviations for subcritical bootstrap percolation on the Erdős–Rényi graph
  Journal of Statistical Physics
  with Omer Angel
       arXiv | journal
  
• Sharp thresholds for contagious sets in random graphs
  Annals of Applied Probability
  with Omer Angel
       arXiv | journal
  
• Stability of geodesics in the Brownian map
  Annals of Probability
  with Omer Angel and Grégory Miermont
       arXiv | journal
  
• Lower bounds for the isoperimetric numbers of random regular graphs
  SIAM Journal on Discrete Mathematics
  with Nick Wormald
     arXiv | journal

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