Geometry of geodesics through Busemann measures in directed last-passage percolation
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Publication:6172685
DOI10.4171/jems/1246arXiv1908.09040OpenAlexW2969957855MaRDI QIDQ6172685
Firas Rassoul-Agha, Christopher Janjigian, Timo Seppäläinen
Publication date: 20 July 2023
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.09040
instabilitycoalescenceHamilton-Jacobi equationsrandom dynamical systemBusemann functionscorner growth modellast-passage percolationKPZ
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37)
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Uniqueness and ergodicity of stationary directed polymers on \(\mathbb{Z}^2\), The stationary horizon and semi-infinite geodesics in the directed landscape, Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation, Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique, Invariant measures for stochastic conservation laws on the line
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