Ivailo Hartarsky's webpage

Research interests

My main research interests lie in probability, especially its interface(s) with combinatorics or (not xor) statistical Physics. More concretely, most of my work is on stochastic dynamics and discrete probability. Namely, I primarily study interacting particle systems and probabilistic cellular automata. Currently, I am working on kinetically constrained spin models and the closely related bootstrap percolation, as well as on dimer model dynamics.

Open access statement

As a general rule, the last (or latest) version of all my papers can be found on arXiv. I generally do not display the published version anywhere, but instead use the final manuscript. I recommend reading the latter over the former, as it has the same content and is often better typeset. For that reason I disregard publisher price when submitting and encourage institutional libraries to invest in good printers instead of journal subscriptions.

Abstracts may differ from venue to venue due to length/citation restrictions. I recommend systematically using the one in the pdf of the latest arXiv version.

My papers can also be found below if I have updated my page recently enough. I only deposit them on HAL once they are published, so please refer to arXiv. I do not deposit full texts on ResearchGate or other platforms to avoid violating publisher copyright.

Publications and preprints


Preprints: 3, 1; papers: 16, 12, 2.


  1. Kinetically constrained models out of equilibrium
    with F. Toninelli
    Submitted pdf, arXiv
  2. The maximal running time of hypergraph bootstrap percolation
    with L. Lichev
    Submitted pdf, arXiv
  3. Refined universality for critical KCM: upper bounds
    Submitted pdf, arXiv, slides

Papers (published or to appear)

  1. Fredrickson-Andersen model in two dimensions
    with F. Martinelli and C. Toninelli
    ESAIM: Proceedings and Surveys (to appear) pdf, arXiv
  2. The normal contraction property for non-bilinear Dirichlet forms
    with G. Brigati
    Potential analysis (to appear) pdf, arXiv, journal
  3. Sharp threshold for the FA-2f kinetically constrained model
    with F. Martinelli and C. Toninelli
    Probability Theory and Related Fields, 185 (2023), no. 3, 993–1037. 45pp. pdf, arXiv, journal, slides
  4. Subcritical bootstrap percolation via Toom contours
    with R. Szabó
    Electronic communications in Probability 27 (2022). 13+2pp. pdf including the online appendix, arXiv, journal
  5. Bootstrap percolation, probabilistic cellular automata and sharpness
    Journal of Statistical Physics, 187 (2022), no. 3, Article 21. 17pp. pdf, arXiv, journal
  6. Generalised oriented site percolation
    with R. Szabó
    Markov Processes and Related Fields, 28 (2022), no. 2. 28pp. pdf, arXiv, journal
  7. Refined universality for critical KCM: lower bounds
    with L. Marêché
    Combinatorics, Probability & Computing 31 (2022), no. 5, 879-906. 28+16pp. pdf including the online appendix, arXiv, journal, slides
  8. Weakly constrained-degree percolation on the hypercubic lattice
    with B. N. B. de Lima
    Stochastic processes and their applications 153 (2022), 128-144. 17pp. pdf, arXiv, journal, slides
  9. Coalescing and branching simple symmetric exclusion process
    with F. Martinelli and C. Toninelli
    The Annals of Applied Probability 32 (2022), no. 4, 2841-2859. 19pp. pdf, arXiv, journal, slides
  10. Bisection for kinetically constrained models revisited
    Electronic Communications in Probability 26 (2021). 10pp. pdf, arXiv, journal, slides
  11. Universality for critical KCM: finite number of stable directions
    with F. Martinelli and C. Toninelli
    The Annals of Probability, 49 (2021), no. 5, 2141-2174. 34 pp. pdf, arXiv, journal, slides
  12. \(\mathcal{U}\)-bootstrap percolation: critical probability, exponential decay and applications
    Annales de l'Institut Henri Poincaré B, Probabilités et Statistiques, 57 (2021), no. 3, 1255-1280. 26pp. pdf, arXiv, journal, slides
  13. Universality for critical KCM: infinite number of stable directions
    with L. Marêché and C. Toninelli
    Probability Theory and Related Fields, 178 (2020), no. 1, 289-326. 38pp. pdf, arXiv, journal, slides
  14. Complexity of two-dimensional bootstrap percolation difficulty: Algorithm and NP-hardness
    with T. R. Mezei
    SIAM Journal on Discrete Mathematics, 34 (2020), no. 2, 1444-1459. 16pp. pdf, arXiv, journal
  15. Strong Ramsey games in unbounded time
    with S. David and M. Tiba
    European Journal of Combinatorics, 86 (2020), 103096. 26pp. pdf, arXiv, journal
  16. Maximum-energy records in glassy energy landscapes
    with M. Baity-Jesi, R. Ravasio, A. Billoire and G. Biroli
    Journal of Statistical Mechanics: Theory and Experiment, 2019, no. 9, 093302. 24pp. pdf, arXiv, journal
  17. The second term for two-neighbour bootstrap percolation in two dimensions
    with R. Morris
    Transactions of the American Mathematical Society, 372 (2019), 6465-6505. 41+14pp. pdf including the online appendix, arXiv, journal, slides
  18. Maximal bootstrap percolation time on the hypercube via generalised snake-in-the-box
    Electronic Journal of Combinatorics, 25 (2018), no. 3, Paper 3.10. 12pp. pdf, arXiv, journal

Unpublished supervised written work

  1. Bootstrap percolation and kinetically constrained models: two-dimensional universality and beyond
    supervised by C. Toninelli
    PhD thesis pdf, slides, HAL
  2. Percolation bootstrap et modèles cinétiquement contraints
    supervised by C. Toninelli
    ENS Diploma thesis pdf
  3. Glassy dynamics: Trap and Random energy models
    supervised by G. Biroli and J. Salez
    Internship report pdf
  4. Sur l'expérience de Mayer
    supervised by J.-F. Logeais
    TIPE pdf

See my CV for more and feel free to contact me if you are interested.

Talk recordings


Here is a list of the webpages of my research collaborators.
Marco Baity-Jesi, Alain Billoire, ‪Bernardo de Lima, Giulio Biroli, Giovanni Brigati, Benoît Dagallier, Stefan David, Barbara Dembin, Aurélia Deshayes, Hugo Duminil-Copin, Christophe Garban, Lyuben Lichev, Laure Marêché, Fabio Martinelli, Otávio Menezes, Tamás Mezei, Rob Morris, Riccardo Ravasio, Stephen G. Z. Smith, Alexandre Stauffer, Réka Szabó, Vincent Tassion, Augusto Teixeira, Marius Tiba, Cristina Toninelli, Fabio Toninelli, Ahad Zehmakan.
I am a member of the FWF project Random Surfaces: growth, fluctuations and universality of Fabio Toninelli.

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