Research

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 mostly on bootstrap percolation and the closely related kinetically constrained spin models, as well as oriented percolation and related models.

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

Selected works

Preprints

Sharpness of the phase transition for constrained-degree percolation
with R. W. C. Silva
Submitted pdf, arXiv

Crossings and diffusion in Poisson driven marked random connection models
with A. Faggionato
Submitted pdf, arXiv

Explosive appearance of cores and bootstrap percolation on lattices
with L. Lichev
Submitted pdf, arXiv

Bootstrap percolation is local
with A. Teixeira
Submitted pdf, arXiv, slides

Papers (published or to appear)

Catalan percolation
with E. Archer, B. Kolesnik, S. Olesker-Taylor, B. Schapira and D. Valesin
Probability Theory and Related Fields (to appear) pdf, arXiv, journal, slides

Locality approach to the bootstrap percolation paradox
with A. Teixeira
Physical Review Letters 134 (2025), 117102. 6+3pp. pdf including supplemental material, arXiv, journal

Local dimer dynamics in higher dimensions
with L. Lichev and F. Toninelli
Annales de l'Institut Henri Poincare D, Combinatorics, Physics and their Interactions (to appear). pdf, arXiv, journal

Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules
with H. Duminil-Copin
Probability Theory and Related Fields 190 (2024), no. 2, 445–483. 39pp. pdf, arXiv, journal

Kinetically constrained models out of equilibrium
with F. Toninelli
Probability and Mathematical Physics 5 (2024), no. 2, 461-489. 29pp. pdf, arXiv, journal, slides

Refined universality for critical KCM: upper bounds
Communications in Mathematical Physics 405 (2024), no. 1, Paper 13. 68+16pp. pdf including the online appendices, arXiv, journal, slides

The maximal running time of hypergraph bootstrap percolation
with L. Lichev
SIAM Journal on Discrete Mathematics 38 (2024), no. 2, 1462-1471. 10pp. pdf, arXiv, journal

The normal contraction property for non-bilinear Dirichlet forms
with G. Brigati
Potential Analysis 60 (2024), 473-488. 16pp. pdf, arXiv, journal

Brownian snails with removal die out in one dimension
with L. Lichev
Electronic Communications in Probability 28 (2023). 8pp. pdf, arXiv, journal

Sensitive bootstrap percolation second term
Electronic Communications in Probability 28 (2023). 7pp. pdf, arXiv, journal

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

Subcritical bootstrap percolation via Toom contours
with R. Szabó
Electronic Communications in Probability 27 (2022). 13+2pp. pdf including the online appendix, arXiv, journal

Bootstrap percolation, probabilistic cellular automata and sharpness
Journal of Statistical Physics, 187 (2022), no. 3, Article 21. 17pp. pdf, arXiv, journal

Generalised oriented site percolation
with R. Szabó
Markov Processes and Related Fields, 28 (2022), no. 2. 28pp. pdf, arXiv, journal

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

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

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

Bisection for kinetically constrained models revisited
Electronic Communications in Probability 26 (2021). 10pp. pdf, arXiv, journal, slides

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

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

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

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

Strong Ramsey games in unbounded time
with S. David and M. Tiba
European Journal of Combinatorics, 86 (2020), 103096. 26pp. pdf, arXiv, journal

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

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

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

Ivailo Hartarsky's webpage

Research interests

Open access statement

Publications and preprints

Selected works

Preprints

Papers (published or to appear)

Books, surveys and proceedings

Unpublished supervised written work

Talk recordings

Collaborators