4 papers · 1 filter
Semicircular law with a few independent entries in a random matrix
Debapratim Banerjee, Himasish Talukdar
It is well known in random matrix literature that the limiting spectral distribution of a Wigner matrix is the semi circular law while the limiting spectral distributions of other…
Elephant random walk on the infinite dihedral group
Soumendu Sundar Mukherjee, Himasish Talukdar
Elephant random walks were studied recently in \cite{mukherjee2025elephant} on the groups whose Cayley graphs are infinite -regular tre…
Spectra of contractions of the Gaussian Orthogonal Tensor Ensemble
Soumendu Sundar Mukherjee, Himasish Talukdar
In this article, we study the spectra of matrix-valued contractions of the Gaussian Orthogonal Tensor Ensemble (GOTE). Let denote a random tensor of order and dim…
Spectra of adjacency and Laplacian matrices of Erdős-Rényi hypergraphs
Soumendu Sundar Mukherjee, Dipranjan Pal, Himasish Talukdar
We study adjacency and Laplacian matrices of Erdős-Rényi -uniform hypergraphs on vertices with hyperedge inclusion probability , in the setting where can vary with $n…