A block Markov chain is a Markov chain whose state space can be partitioned into a finite
number of clusters such that the transition probabilities only depend on the clusters. Block …

We consider the single eigenvalue fluctuations of random matrices of general Wigner-type,
under a one-cut assumption on the density of states. For eigenvalues in the bulk, we prove …

Electroencephalography (EEG) signals can be used as a neuroimaging indicator to analyze
brain-related diseases and mental states, such as schizophrenia, which is a common and …

We consider an N by N real or complex generalized Wigner matrix HN, whose entries are
independent centered random variables with uniformly bounded moments. We assume that …

Motivated by the stochastic block model, we investigate a class of Wigner-type matrices with
certain block structures and establish a CLT for the corresponding linear spectral statistics …

We establish central limit theorems (CLTs) for the linear spectral statistics of the adjacency
matrix of inhomogeneous random graphs across all sparsity regimes, providing explicit …

We compute the eigenvalue fluctuations of uniformly distributed random biregular bipartite
graphs with fixed and growing degrees for a large class of analytic functions. As a key step …

We consider the characteristic function of linear spectral statistics of generalized Wigner
matrices. We provide an expansion of the characteristic function with error $\mathcal {O}(N …

We study the linear eigenvalue statistics of a non-Hermitian random band matrix with a
continuous variance profile w ν (x) and increasing bandwidth bn. We show that the …

We give necessary and sufficient conditions for the existence of a phantom distribution
function for a stationary random field on a regular lattice. We also introduce a less …