Solvable KPZ Models
I study exactly solvable models in the KPZ class, where exact computations make it possible to analyze the geometry of random growth in great detail. The main goal is to use solvable models as a way to identify mechanisms that may persist beyond these exactly solvable cases.
Relevant Papers
| Co-authors | Citation | Links |
|---|---|---|
| Anomalous geodesics in the inhomogeneous corner growth model. Communications in Mathematical Physics 406 (316). (2025). | ||
| Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique. Probability and Mathematical Physics 4 (3) 609-666 (2023). | ||
| Geometry of geodesics through Busemann measures in directed last-passage percolation. Journal of the European Mathematical Society 25 (7) 2573-2639 (2023). | ||
| Flats, spikes and crevices: the evolving shape of the inhomogeneous corner growth model. Electronic Journal of Probability 26: 1-45 (2021). | ||
| Large deviations for some corner growth models with inhomogeneity. Markov Processes and Related Fields 23: 267-312 (2017). | ||
| - | Large deviations of the free energy in the O'Connell-Yor polymer. Journal of Statistical Physics 160 (4): 1054-1080 (2015). |