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- S.N. Bose National Centre for Basic SciencesIN60 papers
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87 papers · 1 filter
Invariant subspaces and the -property of Brownian Shifts
Nilanjan Das, Soma Das, Jaydeb Sarkar
We consider the restriction of Brownian shifts to their invariant subspaces and classify when they are unitarily equivalent. Additionally, we prove an asymptotic property stating t…
The elephant random walk in the triangular array setting
Rahul Roy, Masato Takei, Hideki Tanemura
Gut and Stadmüller (2021, 2022) initiated the study of the elephant random walk with limited memory. Aguech and El Machkouri (2024) published a paper in which they discuss an exten…
Linear Eigenvalue Statistics of matrices
Kiran Kumar A. S, Shambhu Nath Maurya, Koushik Saha
This article focuses on the fluctuations of linear eigenvalue statistics of , where is an Toeplitz matrix with real, comple…
Some patterned matrices with independent entries
Arup Bose, Koushik Saha, Priyanka Sen
Patterned random matrices such as the reverse circulant, the symmetric circulant, the Toeplitz and the Hankel matrices and their almost sure limiting spectral distribution (LSD), h…
Elliptic Harnack Inequality for
Siva Athreya, Nitya Gadhiwala, Ritvik R. Radhakrishnan
We prove the scale invariant Elliptic Harnack Inequality (EHI) for non-negative harmonic functions on . The purpose of this note is to provide a simplified self-con…
Right-Most Position of a Last Progeny Modified Time Inhomogeneous Branching Random Walk
Antar Bandyopadhyay, Partha Pratim Ghosh
In this work, we consider a modification of time \emph{inhomogeneous} branching random walk, where the driving increment distribution changes over time macroscopically. Following B…