4 citations · 10 across the 7 of their papers we have counts for
7 papers
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…
Binary Classification with XOR Queries: Fundamental Limits and An Efficient Algorithm
Daesung Kim, Hye Won Chung
We consider a query-based data acquisition problem for binary classification of unknown labels, which has diverse applications in communications, crowdsourcing, recommender systems…
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…
Deficit Estimates for the Logarithmic Sobolev Inequality
Emanuel Indrei, Daesung Kim
We identify sharp spaces and prove quantitative and non-quantitative stability results for the logarithmic Sobolev inequality involving Wasserstein and metrics. The technique…
Instability results for the logarithmic Sobolev inequality and its application to related inequalities
Daesung Kim
We show that there are no general stability results for the logarithmic Sobolev inequality in terms of the Wasserstein distances and distance for . To this end, we…
On square functions and Fourier multipliers for nonlocal operators
Rodrigo Banuelos, Daesung Kim
Using Itô's formula for processes with jumps, we give a simple direct proof of the Hardy-Stein identity proved in \cite{BBL}. We extend the proof given in that paper to non-symmetr…
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…