4 papers · 1 filter
On the satisfaction frequency of spectral characterization conditions
Nikita Lvov, Alexander Van Werde
We give the first specific conjectures on how frequently graphs satisfy sufficient conditions for being uniquely characterized by spectral information. These conjectures arise from…
Exact cospectrality probabilities for uniform random matrices
Alexander Van Werde
We study the conjugation action of orthogonal matrices on symmetric random matrices. Given a fixed orthogonal matrix over an algebraic number field and a random matrix with entries…
Worst-case mixing estimates for Brownian motion with semipermeable barriers
Alexander Van Werde, Jaron Sanders
We study the mixing properties of a Brownian motion whose movements are hindered by semipermeable barriers. Our setting assumes that the process takes values in a smooth planar dom…
Recovering semipermeable barriers from reflected Brownian motion
Alexander Van Werde, Jaron Sanders
We study the recovery of one-dimensional semipermeable barriers for a stochastic process in a planar domain. The considered process acts like Brownian motion when away from the bar…