6 papers
Asymptotics of Brownian occupation measures with unusually large intersections
Jiyun Park
We prove that the occupation measures of Brownian motions conditioned to have large intersections converge weakly, up to spatial shifts, to the measure whose density is the square…
Inverting Data Transformations via Diffusion Sampling
Jinwoo Kim, Sékou-Oumar Kaba, Jiyun Park +2
We study the problem of transformation inversion on general Lie groups: a datum is transformed by an unknown group element, and the goal is to recover an inverse transformation tha…
Capacity of the range of random walk: Moderate deviations in dimensions 4 and 5
Arka Adhikari, Jiyun Park
We prove a moderate deviation principle for the capacity of the range of random walk in . Depending on the scale of deviation, we get two different regimes. We observ…
Upper tails of subgraph counts in directed random graphs
Jiyun Park
The upper tail problem in a sparse Erdős-Rényi graph asks for the probability that the number of copies of some fixed subgraph exceeds its expected value by a constant factor. We s…
Six dimensional almost complex torus manifolds with Euler number six
Donghoon Jang, Jiyun Park
An almost complex torus manifold is a -dimensional compact connected almost complex manifold equipped with an effective action of a real -dimensional torus $T^n \simeq (S^1)…
Size of exceptional sets in weakly mixing systems
Jiyun Park, Kangrae Park
We study exceptional sets for the Chacon transformation and, more generally, for a class of cutting-and-stacking transformations called restrictive tight maps. For these systems we…