4 citations · 4 across the 3 of their papers we have counts for
Showing math.PRShow all
3 papers · 1 filter
math.PR2021
Fluctuation results for size of the vacant set for random walks on discrete torus
Partha Dey, Daesung Kim
We consider one or more independent random walks on the dimensional discrete torus. The walks start from vertices chosen independently and uniformly at random. We analyze…
math.PR2019★ 4 cited
Quantitative inequalities for the expected lifetime of Brownian motion
Daesung Kim
The isoperimetric inequalities for the expected lifetime of Brownian motion state that the -norms of the expected lifetime in a bounded domain for are max…
math.PR2015
Martingale transforms and the Hardy-Littlewood-Sobolev inequality for semigroups
Daesung Kim
We give a representation of the fractional integral for symmetric Markovian semigroups as the projection of martingale transforms and prove the Hardy-Littlewood-Sobolev(HLS) inequa…