6 papers
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…
Approximation Theory for Neural Networks: Old and New
Soumendu Sundar Mukherjee, Himasish Talukdar
Universal approximation theorems provide a mathematical explanation for the expressive power of neural networks. They assert that, under mild conditions on the activation function,…
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…
Bulk Spectra of Truncated Sample Covariance Matrices
Subhroshekhar Ghosh, Soumendu Sundar Mukherjee, Himasish Talukdar
Determinantal Point Processes (DPPs), which originate from quantum and statistical physics, are known for modelling diversity. Recent research [Ghosh and Rigollet (2020)] has demon…