Year: 2026
Type: preprint
Abstract: For any $t\in [0,1/2)$, consider the process $η_t:[0,1/2]\mapsto\mathbb{R}$ defined by $η_t(s)=Π(t+s)-Π(t)$, where $Π$ is the directed geodesic from $(0,0)$ to $(0,1)$ in the directed landscape. Let $0\leq t0$. This proves Conjecture 14.5 in Dauvergne, Ortmann, and Virág, 2022 in the affirmative.
Source: arXiv (Cornell University)
Authors: Tassopoulos, Pantelis, Sarkar, Sourav
Institution: University of Cambridge
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7215109626