3 papers
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,…
math.PR2025
Random Schrödinger operators and convolution on wreath products
Adam Arras
We establish a spectral correspondence between random Schrödinger operators and deterministic convolution operators on wreath products, generalizing previous results that relate L…