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math.PR2023
Collaboration of Random Walks on Graphs
Partha S. Dey, Daesung Kim, Grigory Terlov
Consider a collaborative dynamic of independent random walks on a finite connected graph . We are interested in the size of the set of vertices visited by at least one walke…
math.PR2022
Sharp inequalities for discrete singular integrals on the lattice
Rodrigo Bañuelos, Daesung Kim, Mateusz Kwaśnicki
This paper investigates higher dimensional versions of the longstanding conjecture verified in [Bañuelos and Kwaśnicki, Duke Math. J. (2019)] that the -norm of the discrete…