Daesung Kim

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math.PR2026

Discrete analogues of second-order Riesz transforms

Rodrigo BaÃ±uelos, Daesung Kim

Discrete analogues of classical operators in harmonic analysis have been widely studied, revealing deep connections with areas such as ergodic theory and analytic number theory. Th…

math.PR2024

Curie-Weiss Model under $ℓ^{p}$ constraint and a Generalized Hubbard-Stratonovich Transform

Partha S. Dey, Daesung Kim

We consider the Ising Curie-Weiss model on the complete graph constrained under a given $ℓ^{p}$ norm for some $p > 0$ . For $p = \infty$ , it reduces to the classical Ising Curie-Weis…

math.PR2024

On the principal eigenvalue for compound Poisson processes

Daesung Kim, Hyunchul Park

We investigate the explicit expression for the principal eigenvalue $I^»_{1}^{X} (D)$ for a large class of compound Poisson processes $X$ on a bounded open set $D$ by examining its s…

Discrete analogues of second-order Riesz transforms

Curie-Weiss Model under ℓp constraint and a Generalized Hubbard-Stratonovich Transform

On the principal eigenvalue for compound Poisson processes

Curie-Weiss Model under $ℓ^{p}$ constraint and a Generalized Hubbard-Stratonovich Transform