20 citations · 48 across the 14 of their papers we have counts for
15 papers
Mesoscopic eigenvalue statistics for correlated random matrices
László Erdős, Jaehun Lee
We prove a mesoscopic central limit theorem for linear eigenvalue statistics of correlated Hermitian random matrices. The class considered here includes Wigner and Wigner-type matr…
Phase transition for the smallest eigenvalue of covariance matrices
Zhigang Bao, Jaehun Lee, Xiaocong Xu
In this paper, we study the smallest non-zero eigenvalue of the sample covariance matrices , where is an matrix with iid mean vari…
Extremal spectral behavior of weighted random -regular graphs
Jaehun Lee, Kyeongsik Nam
Analyzing the spectral behavior of random matrices with dependency among entries is a challenging problem. The adjacency matrix of the random -regular graph is a prominent examp…
Laws of the iterated logarithm for occupation times of Markov processes
Soobin Cho, Panki Kim, Jaehun Lee
In this paper, we discuss the laws of the iterated logarithm (LIL) for occupation times of Markov processes in general metric measure space both near zero and near infinity und…
General Law of iterated logarithm for Markov processes: Liminf laws
Soobin Cho, Panki Kim, Jaehun Lee
Continuing from arXiv:2102.01917v2, in this paper, we discuss general criteria and forms of liminf laws of iterated logarithm (LIL) for continuous-time Markov processes. Under some…
Higher order fluctuations of extremal eigenvalues of sparse random matrices
Jaehun Lee
We consider extremal eigenvalues of sparse random matrices, a class of random matrices including the adjacency matrices of Erdős-Rényi graphs . Recently, it was s…
Noise sensitivity for the top eigenvector of a sparse random matrix
Charles Bordenave, Jaehun Lee
We investigate the noise sensitivity of the top eigenvector of a sparse random symmetric matrix. Let be the top eigenvector of an sparse random symmetric matrix wit…
General Law of iterated logarithm for Markov processes: Limsup law
Soobin Cho, Panki Kim, Jaehun Lee
In this paper, we discuss general criteria of limsup law of iterated logarithm (LIL) for continuous-time Markov processes. We consider minimal assumptions for LILs to hold at zero(…
Noise sensitivity of second-top eigenvectors of Erdős-Rényi graphs and sparse matrices
Jaehun Lee
We consider eigenvectors of adjacency matrices of Erdős-Rényi graphs and study the variation of their directions by resampling the entries randomly. Let be the eigenve…
Heat kernel estimates and their stabilities for symmetric jump processes with general mixed polynomial growths on metric measure spaces
Joohak Bae, Jaehoon Kang, Panki Kim +1
In this paper, we consider a symmetric pure jump Markov process on a metric measure space with volume doubling conditions. Our focus is on estimating the transition density $p(…
Heat kernel estimates for symmetric jump processes with mixed polynomial growths
Joohak Bae, Jaehoon Kang, Panki Kim +1
In this paper, we study the transition densities of pure-jump symmetric Markov processes in , whose jumping kernels are comparable to radially symmetric functions w…
Boundary regularity for nonlocal operators with kernels of variable orders
Minhyun Kim, Panki Kim, Jaehun Lee +1
We study the boundary regularity of solutions of the Dirichlet problem for the nonlocal operator with a kernel of variable orders. Since the order of differentiability of the kerne…
Zeros of random polynomials and its higher derivatives
Sung-Soo Byun, Jaehun Lee, Tulasi Ram Reddy
In this article we study the limiting empirical measure of zeros of higher derivatives for sequences of random polynomials. We show that these measures agree with the limiting empi…
Delocalization and Limiting Spectral Distribution of Erdős-Rényi Graphs with Constant Expected Degree
Paul Jung, Jaehun Lee
We consider Erdős-Rényi graphs with large constant expected degree and . Bordenave and Lelarge (2010) showed that the infinite-volume limit, in the Benjamin…
On Isomorphism Classes of Generalized Fibonacci Cubes
Jernej Azarija, Sandi Klavžar, Jaehun Lee +2
The generalized Fibonacci cube is the subgraph of the -cube induced on the set of all strings of length that do not contain as a substring. It is proved t…