Probability Theory and Stochastic Processes, specially Random matrix theory and Free probability.
Kiran Kumar A.S., Shambhu Nath Maurya and Koushik Saha A non-Gaussian limit for linear eigenvalue statistics of Hankel matrices Random Matrices: Theory and Applications (2025), Paper No. 2550013, 28 pp.
Kartick Adhikari, Arup Bose and Shambhu Nath Maurya Convergence of high dimensional Toeplitz and related matrices with correlated inputs ALEA, Lat. Am. J. Probab. Math. Stat (2024), Volume 21, no. 2, Pages 1867-1901.
Shambhu Nath Maurya Limiting spectral distribution of Toeplitz and Hankel matrices with dependent entries Statistics and Probability Letters (2024), Paper No. 110092, 11 pp.
Kiran Kumar A.S., Shambhu Nath Maurya and Koushik Saha Linear eigenvalue statistics of XX′ matrices Journal of Mathematical Physics (2023), Paper No. 123302, 27 pp.
Arup Bose, Shambhu Nath Maurya and Koushik Saha Time dependent fluctuations of linear eigenvalue statistics of some patterned matrices Journal of Mathematical Physics (2022), Paper No. 043506, 16 pp.
Kiran Kumar A.S. and Shambhu Nath Maurya Asymptotic behaviour of linear eigenvalue statistics of Hankel matrices Statistics and Probability Letters (2022), Paper No. 109273, 12 pp.
Shambhu Nath Maurya and Koushik Saha Fluctuations of linear eigenvalue statistics of reverse circulant and symmetric circulant matrices with independent entries Journal of Mathematical Physics (2021), Paper No. 043506, 31 pp.
Arup Bose, Shambhu Nath Maurya and Koushik Saha Process convergence of fluctuations of linear eigenvalue statistics of random circulant matrices Random Matrices: Theory and Applications (2021), Paper No. 2150032, 32 pp.
Shambhu Nath Maurya and Koushik Saha Process convergence of fluctuations of linear eigenvalue statistics of band Toeplitz matrices, Statistics and Probability Letters (2020) Paper No. 108875, 11 pp.
Kiran Kumar A.S., Shambhu Nath Maurya and Koushik Saha CLT for generalized patterned random matrices: a unified approach arXiv.2402.03745 (2025), 39 pp. Under review
Shambhu Nath Maurya On limiting spectral distribution and joint convergence of some patterned random matrices arXiv:2202.06377 (2022), 12 pp.
Shambhu Nath Maurya and Koushik Saha Limiting spectral distribution of polynomial of some circulant type matrices