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Department of Statistics

Bootstrap Percolation & its Applications

Banff International Research Stations (BIRS)
April 14–19, 2024

BIRS workshop webpage

Organizers: József Balogh, Janko Gravner, Karen Gunderson, Brett Kolesnik and Rob Morris

Speakers:

  • Paul Balister
    Uncomputability in bootstrap percolation
  • Zsolt Bartha
    Critical thresholds in graph bootstrap percolation
  • Ivailo Hartarsky
    Mini-course lectures 2 and 3 (2-neighbor bootstrap percolation on the plane)
  • Alexander Holroyd
    Polluted bootstrap percolation
  • Mihyun Kang
    Majority bootstrap percolation on high-dimensional geometric graphs
  • Gal Kronenberg
    Independent sets in random subgraphs of the hypercube
  • Rob Morris
    Mini-course lecture 1 (overview and open problems)
  • Gábor Pete
    Volatility in dynamical bootstrap percolation on regular trees
  • David Sivakoff
    Supercritical neighborhood growth with one-dimensional nucleation
  • Réka Szabó
    Stability results for random monotone cellular automata
  • Tibor Szabó
    Slow subgraph bootstrap percolation
  • Augusto Teixeira
    Two-neighbor bootstrap percolation is local

Program: Schedule and abstracts

Videos: Click here for the recordings. Not all talks were recorded.

Mini-course: The study of bootstrap percolation started out with the idea that the 2-neighbour model on the square grid with product Bernoulli initial condition would exhibit a nontrivial phase transition, as it does on a regular tree. While this is not the case, the model is far from being trivial. In this mini-course, we will cover the evolution of our quantitative understanding of this trivial phase transition over the years. This will lead us to discuss various techniques, establishing increasingly precise results, many of which have been subsequently adapted to other models and settings. We will revisit the classical works of Aizenman and Lebowitz, and Holroyd, gradually building towards recent and upcoming results in that direction, which still call for generalization.

References: Ivailo's list

Open problems: Summary typed by Quentin Dubroff, Bob Krueger and Sam Spiro

Resources: Tips for postdocs and jobs

Simulations, courtesy of Joan Adler

In-person participants

  1. Daniel Ahlberg
    Stockholm University
  2. Caio Alves
    Oak Ridge National Laboratory
  3. Omer Angel
    University of British Columbia
  4. Igor Araujo
    University of Illinois at Urbana-Champaign
  5. PaulBalister
    University of Oxford
  6. József Balogh
    University of Illinois at Urbana-Champaign
  7. Zsolt Bartha
    Alfréd Rényi Institute of Mathematics
  8. Marcelo Campos
    University of Cambridge
  9. Daniel De La Riva Massaad
    University of British Columbia
  10. Dingding Dong
    Harvard University
  11. Quentin Dubroff
    Rutgers University
  12. Shirshendu Ganguly
    University of California, Berkeley
  13. Ramon Ivan GarciaAlvarez
    University of Illinois at Urbana-Champaign
  14. JankoGravner
    University of California, Davis
  15. Karen Gunderson
    University of Manitoba
  16. Ivailo Hartarsky
    Technische Universität Wien
  17. Jaka Hedžet
    Institute of Mathematics, Physics and Mechanics, Ljubljana
  18. Christopher Hoffman
    University of Washington
  19. Alexander Holroyd
    University of Bristol
  20. Mihyun Kang
    Technische Universität Graz
  21. Brett Kolesnik
    University of Oxford
  22. Gal Kronenberg
    University of Oxford
  23. Bob Krueger
    University of Illinois at Urbana-Champaign
  24. Imre Leader
    University of Cambridge
  25. Bernard Lidický
    Iowa State University
  26. James Martin
    University of Oxford
  27. Letícia Mattos
    Universität Heidelberg
  28. Yago Moreno
    Fields Institute
  29. Yuval Peled
    Hebrew University of Jerusalem
  30. Gábor Pete
    Alfréd Rényi Institute of Mathematics
    & Budapest University of Technology and Economics
  31. Leonardo Rolla
    University of São Paulo
  32. Mihalis Sarantis
    Carnegie Mellon University
  33. David Sivakoff
    The Ohio State University
  34. Erik Slivken
    University of North Carolina Wilmington
  35. Sam Spiro
    Rutgers University
  36. Réka Szabó
    University of Groningen
  37. Tibor Szabó
    Freie Universität Berlin
  38. Augusto Teixeira
    Instituto de Matemática Pura e Aplicada
  39. Mark Walters
    Queen Mary University of London
  40. Maksim Zhukovskii
    University of Sheffield
  41. Alexandra Wesolek
    Technische Universität Berlin
  42. Michael Wigal
    University of Illinois at Urbana-Champaign

    Online participants

    1. Joan Adler
      Technion – Israel Institute of Technology
    2. Michael Aizenman
      Princeton University
    3. Yago Moreno Alonso
      University of Bristol
    4. Daniel Blanquicett
      University of Sucre
    5. Elisabetta Candellero
      Università Roma Tre
    6. Altar Çiçeksiz
      Umeå Universitet
    7. Sahar Diskin
      Tel Aviv University
    8. Damiano De Gaspari
      Technische Universität Wien
    9. Nils Detering
      Heinrich-Heine University Düsseldorf
    10. Alberto Espuny Díaz
      Universität Heidelberg
    11. Joshua Erde
      Technische Universität Graz
    12. Nikolaos Fountoulakis
      University of Birmingham
    13. Anna Geisler
      Technische Universität Graz
    14. Benjamin Gunby-Mann
      Rutgers      University
    15. Lianna Hambardzumyan
      Hebrew University of Jerusalem
    16. Annika Heckel
      Uppsala Universitet
    17. Cecilia Holmgren
      Uppsala Universitet
    18. Nina Kamčev
      University of Zagreb
    19. Michael Krivelevich
      Tel Aviv University
    20. Emilio Leonardi
      Politecnico di Torino
    21. Lyuben Lichev
      Université Jean Monnet
    22. Anita Liebenau
      University of New South Wales
    23. Tomasz Łuczak
      Adam Mickiewicz University
    24. Tamas Makai
      LMU München
    25. Laure Marêché
      Université de Strasbourg
    26. Carlos Martinez
      Instituto de Matemática y Ciencia Afines
    27. Christian Maura
      Instituto de Matemática Pura e Aplicada
    28. Marcus Michelen
      University of Illinois at Chicago
    29. Dieter Mitsche
      Institut Camille Jordan
    30. Adva Mond
      University of Cambridge
    31. Patrick Morris
      Universitat Politècnica de Catalunya
    32. Rob Morris
      Instituto de Matemática Pura e Aplicada
    33. Richard Mycroft
      University of Birmingham
    34. Bhargav Narayanan
      Rutgers University
    35. Sam Olesker-Taylor
      University of Warwick
    36. Alexey Pokrovskiy
      University College London
    37. Daniel Reichman
      Worcester Polytechnic Institute
    38. Dominik Schmid
      Technische Universität Graz
    39. Roberto Schonmann
      University of California, Los Angeles
    40. Nir Schreiber
      Bar-Ilan University
    41. Alex Scott
      University of Oxford
    42. Alexander Scruton
      University of Oxford
    43. Paul Smith
    44. Victor Souza
      University of Cambridge
    45. Alexandre Stauffer
      King's College London
    46. Cristina Toninelli
      Université Paris Dauphine- PSL
    47. Fabio Toninelli
      Technische Universität Wien
    48. Giovanni Luca Torrisi
      Consiglio Nazionale delle Ricerche
    49. Andrew Treglown
      University of Birmingham
    50. Daniel Valesin
      University of Warwick
    51. Aernout van Enter
      University of Groningen