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math.PR2026
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…
math.PR2025
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…
math.PR2024
Spectra of adjacency and Laplacian matrices of ErdÅs-Rényi hypergraphs
Soumendu Sundar Mukherjee, Dipranjan Pal, Himasish Talukdar
We study adjacency and Laplacian matrices of ErdÅs-Rényi -uniform hypergraphs on vertices with hyperedge inclusion probability , in the setting where can vary with…