Publications

A paper with an Extended link has an arXiv version that includes more detail than either the main arXiv submission or the published version.

Preprints

Co-authors	Citation	Links
Firas Rassoul-Agha Timo Seppäläinen	Strong existence and uniqueness of the tilt-indexed Busemann process in the planar corner growth model. (2025).	arXiv
Michael Damron Jack Hanson Wai-Kit Lam Xiao Shen	Estimates for the empirical distribution along a geodesic in first-passage percolation. (2024).	arXiv
Firas Rassoul-Agha Timo Seppäläinen	Ergodicity and synchronization of the Kardar-Parisi-Zhang equation. (2022).	arXiv
Tom Alberts Firas Rassoul-Agha Timo Seppäläinen	The Green's function of the parabolic Anderson model and the continuum directed polymer. (2022).	arXiv
Elnur Emrah Timo Seppäläinen	Right-tail moderate deviations in the exponential last-passage percolation. (2020).	arXiv

Published papers

Co-authors	Citation	Links
Elnur Emrah Timo Seppäläinen	Anomalous geodesics in the inhomogeneous corner growth model. Communications in Mathematical Physics 406 (316). (2025).	arXiv Published
Sean Groathouse Firas Rassoul-Agha	Non-existence of non-trivial bi-infinite geodesics in Geometric Last Passage Percolation. Journal of Statistical Physics 192 (81) (2025).	arXiv Published
Sean Groathouse Firas Rassoul-Agha	Existence of generalized Busemann functions and Gibbs measures for random walks in random potentials. Transactions of the American Mathematical Society, Volume 378, Issue 12, ISSN 1088-6850 (2025).	arXiv Published
Elnur Emrah Timo Seppäläinen	Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique. Probability and Mathematical Physics 4 (3) 609-666 (2023).	arXiv Published
Firas Rassoul-Agha Timo Seppäläinen	Geometry of geodesics through Busemann measures in directed last-passage percolation. Journal of the European Mathematical Society 25 (7) 2573-2639 (2023).	arXiv Published
Sergazy Nurbavliyev Firas Rassoul-Agha	A shape theorem and a variational formula for the quenched Lyapunov exponent of random walk in a random potential. Annales de l'Institut Henri Poincare, Probabilites et Statistiques 58(2): 1010-1040 (2022).	arXiv Published
Elnur Emrah Timo Seppäläinen	Flats, spikes and crevices: the evolving shape of the inhomogeneous corner growth model. Electronic Journal of Probability 26: 1-45 (2021).	arXiv Published
Firas Rassoul-Agha	Uniqueness and ergodicity of stationary directed polymer models on the square lattice. Journal of Statistical Physics 179: 672-689 (2020).	arXiv Published
Firas Rassoul-Agha	Busemann functions and Gibbs measures in directed polymer models on \( \mathbb{Z}^2 \). Annals of Probability 48(2): 778-816 (2020).	Extended Published
-	Upper tail large deviations in Brownian directed percolation. Electronic Communications in Probability 24 (45): 1-10 (2019).	arXiv Published
Dan Crisan Thomas G. Kurtz	Particle representations for stochastic partial differential equations with boundary conditions. Electronic Journal of Probability 23 (65): 1-29 (2018).	arXiv Published
Elnur Emrah	Large deviations for some corner growth models with inhomogeneity. Markov Processes and Related Fields 23: 267-312 (2017).	arXiv Published
-	Large deviations of the free energy in the O'Connell-Yor polymer. Journal of Statistical Physics 160 (4): 1054-1080 (2015).	arXiv Published

This material above is partially based upon work supported by the Simons Foundation Grant MPS-TSM-00012155 and the National Science Foundation under Grant No. DMS-2125961. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation or the Simons Foundation.