Research
About
My research interest lies in the field of probability theory and draws upon questions from statistical physics. I am mainly interested in the study of phase transitions, for instance for percolation models with long-range correlations such as the Gaussian free field and random interlacements, but also work on other topics such as isomorphism theorems, random walks, first passage percolation, Brownian excursions and late points.Â
Publications
Critical one-arm probability for the metric Gaussian free field in low dimensions
With Alexander Drewitz and Pierre-François Rodriguez.
Preprint (2024)
ArXiv.Universality classes for percolation models with long-range correlations
With Christopher Chalhoub, Alexander Drewitz and Pierre-François Rodriguez.
Preprint (2024)
ArXiv.Arm exponent for the Gaussian free field on metric graphs in intermediate dimensions
With Alexander Drewitz and Pierre-François Rodriguez.
Preprint (2023)
ArXiv.First passage percolation, local uniqueness for interlacements and capacity of random walk
Preprint (2023)
ArXiv.Phase transition for the late points of random walk
With Pierre-François Rodriguez and Perla Sousi
Preprint (2023)
ArXiv, code, simulations.Generating Galton-Watson trees using random walks and percolation for the Gaussian free field
With Alexander Drewitz and Gioele Gallo.
Annals of Applied Probability, 34(3), 2844–2884 (2024).
Published version, arXiv.Percolation for two-dimensional excursion clouds and the discrete Gaussian free field.
With Alexander Drewitz, Olof Elias, Johan Tykesson and Fredrik Viklund.
Preprint (2022).
ArXiv.First passage percolation with long-range correlations and applications to random Schrödinger operators.
With Sebastian Andres.
Annals of Applied Probability, 34(2), 1846–1895 (2024).
Published version, arXiv.Percolation for the Gaussian free field on the cable system: counterexamples.
Electronic Journal of Probability, 28, 1–43 (2023).
Published version, arXiv.Critical exponents for a percolation model on transient graphs.
With Alexander Drewitz and Pierre-François Rodriguez.
Inventiones Mathematicae, 232, 229–299 (2022).
Published version, arXiv.Cluster capacity functionals and isomorphism theorems for Gaussian free fields.
With Alexander Drewitz and Pierre-François Rodriguez.
Probability Theory and Related Fields, 183, 255–313 (2022).
Published version, arXiv.Geometry of Gaussian free field sign clusters and random interlacements.
With Alexander Drewitz and Pierre-François Rodriguez.
Probability Theory and Related Fields (2024).
Published version, arXiv.The sign clusters of the massless Gaussian free field percolate on ℤᵈ, d ≥ 3 (and more).
With Alexander Drewitz and Pierre-François Rodriguez.
Communications in Mathematical Physics, 362, 513–546 (2018).
Published version, arXiv.