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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 int…
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…