4 citations · 14 across the 40 of their papers we have counts for
13 papers · 1 filter
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…
Elephant random walks on infinite Cayley trees
Soumendu Sundar Mukherjee
We introduce a generalisation of Schütz and Trimper's elephant random walk to finitely generated groups. We focus on the simplest non-abelian setting, i.e. groups whose Cayley grap…
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…
Edge spectra of Gaussian random symmetric matrices with correlated entries
Debapratim Banerjee, Soumendu Sundar Mukherjee, Dipranjan Pal
We study the largest eigenvalue of a Gaussian random symmetric matrix , with zero-mean, unit variance entries satisfying the condition $\sup_{(i, j) \ne (i', j')}|\mathbb{E}[X…
The "visible" Wigner matrix
Arup Bose, Soumendu Sundar Mukherjee
We consider the ``visible'' Wigner matrix, a Wigner matrix whose -th entry is coerced to zero if are co-prime. Using a recent result from elementary number theory on…
On a generalisation of the coupon collector problem
Siva Athreya, Satyaki Mukherjee, Soumendu Sundar Mukherjee
We consider a generalisation of the classical coupon collector problem. We define a super-coupon to be any -subset of a universe of coupons. In each round, a random -subs…
Distribution of Eigenvalues of Matrix Ensembles arising from Wigner and Palindromic Toeplitz Blocks
Keller Blackwell, Neelima Borade, Arup Bose +7
Random Matrix Theory (RMT) has successfully modeled diverse systems, from energy levels of heavy nuclei to zeros of -functions; this correspondence has allowed RMT to successful…
Some characterization results on classical and free Poisson thinning
Soumendu Sundar Mukherjee
Poisson thinning is an elementary result in probability, which is of great importance in the theory of Poisson point processes. In this article, we record a couple of characterizat…
On -Convergence of Schur-Hadamard Products of Independent Nonsymmetric Random Matrices
Soumendu Sundar Mukherjee
Let and be two independent collections of zero mean, unit variance random variables with uniformly bounded moments of all or…
Limiting spectral distribution of a class of Hankel type random matrices
Anirban Basak, Arup Bose, Soumendu Sundar Mukherjee
We consider an indexed class of real symmetric random matrices which generalize the symmetric Hankel and Reverse Circulant matrices. We show that the limiting spectral distribution…
Bulk behaviour of Schur-Hadamard products of symmetric random matrices
Arup Bose, Soumendu Sundar Mukherjee
We develop a general method for establishing the existence of the Limiting Spectral Distributions (LSD) of Schur-Hadamard products of independent symmetric patterned random matrice…
Bulk behaviour of skew-symmetric patterned random matrices
Arup Bose, Soumendu Sundar Mukherjee
Limiting Spectral Distributions (LSD) of real symmetric patterned matrices have been well-studied. In this article, we consider skew-symmetric/anti-symmetric patterned random matri…