Publications

Articles

• with M. Hilário, M. Sá and R. Sanchis: Phase transition for percolation on randomly stretched lattice, Annals of Applied Probability, Volume 33, p. 3145-3168 (2023).
• with M. Hilário and D. Kious: Random walk on the simple symmetric exclusion process, Communications in Mathematical Physics, Volume 379, p. 61–101 (2020).
• with O. Blondel, M. Hilario, R. dos Santos and V. Sidoravicius:
  Random walk on random walks: low densities, Annals of Applied Probability, Volume 30, Number 4, 1614-1641 (2020).
• with O. Blondel and M. Hilário: Random Walks on Dynamical Random Environments with Non-Uniform Mixing, Annals of Probability, Volume 48, Number 4, 2014-2051 (2020).
• with R. Baldasso: Spread of an infection on the zero range process,
  Annales de l’Institut Henri Poincaré, Vol. 56, No. 3, 1898–1928 (2020).
• with O. Blondel, M. Hilario, R. dos Santos and V. Sidoravicius:
  Random walk on random walks: higher dimensions,
  Electronic Journal of Probability, Vol. 24, paper no. 80, 1-33 (2019).
• with R. Baldasso: How can a clairvoyant particle escape the exclusion process?
  Annales de l’Institut Henri Poincaré, Vol. 54, N. 4, 2177-2202 (2018).
• with E. Candellero: Percolation and isoperimetry on roughly transitive graphs
  Annales de l’Institut Henri Poincaré, Vol. 54, N. 4, 1819-1847 (2018).
• with D. Ahlberg and V. Tassion: Existence of an unbounded vacant set for subcritical continuum percolation
  Electronic Communications in Probability, Vol. 23, paper no. 63, 1-8 (2018).
• with D. Ahlberg and V. Tassion: Sharpness of the phase transition for continuum percolation in R^2
  (Probability Theory and Related Fields, 172(1), 525-581 (2018))
• with H. Duminil-Copin and V. Tassion: The box-crossing property for critical two-dimensional oriented percolation
  (Probability Theory and Related Fields, Vol. 171, Issue 3-4, 685-708 (2018))
• with D. Ungaretti: Ellipses Percolation
  (Journal of Statistical Physics, Vol. 168, Issue 2, 369-393 (2017))
• with V. Sidoravicius: Absorbing-state transition for Stochastic Sandpiles and Activated Random Walks
  (Electronic Journal of Probability, Vol. 22, paper no. 33, 1-35 (2017)).
• with J. Černý: Random walks on torus and random interlacements: Macroscopic coupling and phase transition
  (Annals of Applied Probability, Volume 26, Number 5, pp 2883-2914 (2016))
• Percolation and local isoperimetric inequalities
  (Probability Theory and Related Fields, Volume 165, Issue 3, pp 963-984 (2016))
• with K. Schrenk, M. Hilário, V. Sidoravicius, N. Araújo, H. Herrmann and M. Thielmann: How many random holes need to be drilled to collapse a wooden cube?
  (Physical Review Letters, Vol 116, Issue 5, 055701 (2016))
• with M. Hilário and V. Sidoravicius: Cylinders’ percolation in three dimensions
  (Probability Theory and Related Fields, Vol 163, Issue 3, 613-642 (2015))
• with S. Popov: Soft local times and decoupling of random interlacements
  (Journal of the European Mathematical Society, Vol 17, Issue 10, 2545-2593 (2015))
• with M. Hilário, F. den Hollander, V. Sidoravicius and R. Soares dos Santos: Random Walk on Random Walks
  (Electronic Journal of Probability, Vol 20, Article 95, 1-35 (2015))
• with H. Lacoin: A mathematical perspective on metastable wetting
  (Electronic Journal of Probability, Vol 20, Article 17, 1-23 (2015))
• with T. Bodineau: Interface motion in random media
  (Communications in Mathematical Physics, Vol 334, Issue 2, 843-865 (2015))
• with M. Jara and C. Landim: Universality of trap models in the ergodic time scale
  (Annals of Probability, Vol 42, No. 6, 2497-2557 (2014))
• with J. Černý: Critical window for the vacant set left by random walk on random regular graphs
  (Random Structures and Algorithms, Vol. 43, Issue 3, 313-337 (2013))
• with J. Tykesson: Random interlacements and amenability
  (Annals of Applied Probability, Vol. 23, No. 3, 923-956 (2013))
• with D. Windisch: On the fragmentation of a torus by random walk
  (Communications on Pure and Applied Mathematics, Vol. 64, Issue 12, 1599-1646 (2011))
• On the size of a finite vacant cluster of random interlacements with small intensity
  (Probability Theory and Related Fields, Vol. 150, No 3-4, 529-574 (2011))
• with J. Černý and D. Windisch: Giant vacant component left by a random walk in a random d-regular graph
  (Annales de l’Institut Henri Poincaré - Probabilités et Statistiques, Vol. 47, No 4, 929-968 (2011))
• with M. Jara and C. Landim: Quenched scaling limits of trap models
  (Annals of Probability, 39, No 1, 176-223 (2011))
• Interlacement percolation on transient weighted graphs
  (Electronic Journal of Probability, Vol 14, 1604-1627 (2009))
• On the uniqueness of the infinite cluster of the vacant set of random interlacements
  (The Annals of Applied Probability, 19, No 1, 454-466 (2009))
• with L.T. Rolla: Last Passage Percolation in Macroscopically Inhomogeneous Media
  (Electronic Communications in Probability, 13, 131-139 (2008))

Lecture Notes

• with J. Černý: From random walk trajectories to random interlacements
  (Ensaios Matemáticos, Volume 23 (2012))
• Notas de aula de Probabilidade I
  disponíveis no seguinte repositório Github, ou pelo pdf.

Arxiv

My publications and preprints can also be accessed on the arxiv.