3 papers
math.DS2026
Extreme value theorem for geodesic flow on the quotient of the theta group
Jaelin Kim, Seul Bee Lee, Seonhee Lim
We establish an extreme value theorem for the geodesic flow on the hyperbolic surface associated with the theta group . To capture excursions into bo…
math.PR2026
Quenched path limits and periodization stability for tilted Brownian motion in Poissonian potentials on
Miklos Abert, Adam Arras, Jaelin Kim
We analyze the existence of Brownian motion tilted by a potential of full support on hyperbolic spaces . On compact spaces, it is classical that these path limits, ca…
math.PR2025
The Uniform Random Walk on graphs, loop processes and graphings
Miklos Abert, Adam Arras, Jaelin Kim
We define the Uniform Random Walk (URW) on a connected, locally finite graph as the weak limit of the uniform walk of length starting at a fixed vertex. When the limit exists,…