We study a local data inverse problem for the time-dependent Convection-Diffusion Equation (CDE) in a bounded domain where a part of the boundary is treated to be inaccessible. Up on assuming the inaccessible part to be ...

The notion of spectral dimension was introduced by Chakraborty and Pal in \cite{cp}. In this paper, we show that the spectral dimension of the ring of p-adic integers, Zp, is equal to its manifold dimension, which is 0. ...

This paper investigates the projective closure of simplicial affine semigroups in Nd, d≥2. We present a characterization of the Cohen-Macaulay property for the projective closure of these semigroups using Gröbner bases. ...

This article studies the inverse problem of recovering a vector field supported in DR, the disk of radius R centered at the origin, through a set of generalized broken ray/V-line transforms, namely longitudinal and transverse ...

In this semi-expository article, we investigate the relationship between the imprimitivity introduced by Mackey several decades ago and commuting d- tuples of homogeneous normal operators. The Hahn-Hellinger theorem gives ...

In this paper, a restricted transverse ray transform acting on vector and symmetric m-tensor fields is studied. We developed inversion algorithms using restricted transverse ray transform data to recover symmetric m-tensor ...

We give an example for the Kuznetsov-Shinder conjecture, with infinitely many non-isomorphic D-equivalent and L-equivalent varieties.

A new class of simple symmetric digraphs called D is defined and studied here. Any digraph in D has the property that each non-pendant is adjacent to at least one pendant vertex. A graph theoretical description for the ...

In this article, we characterize Cohen-Macaulay permutation graphs. In particular, we show that a permutation graph is Cohen-Macaulay if and only if it is well-covered and there exists a unique way of partitioning its ...

Graham showed with Pollak and Hoffman-Hosoya that for any directed graph G with strong blocks Ge, the determinant det(DG) and cofactor-sum cof(DG) of the distance matrix DG can be computed from the same quantities for the ...