4 citations · 5 across the 13 of their papers we have counts for
14 papers
Improved Forecasting for Multivariate Time Series using GNAR models with General Inverse Distance Weights
Hengxu Liu, Guy P. Nason, Sourav Das +1
Many multivariate time series arise on networks where relationships between variables depend on physical or more general distances. Standard vector autoregressive models struggle i…
Weil's Theorem for Logarithmic Connections on Irreducible Nodal Curves
Sourav Das
We establish an analogue of André Weil's classical theorem for irreducible nodal curves. Let \(X_0\) be an irreducible projective nodal curve. We prove that an indecomposable vecto…
Infinitesimal Deformations of Generalized Parabolic Hitchin Pairs
Sourav Das
We develop the infinitesimal deformation theory of generalized parabolic Hitchin pairs (GPHs) on irreducible nodal curves. For any GPH we associate an explicit three-t…
Inhomogeneous Khitchine-Groshev type theorems on manifolds over function fields
Sourav Das, Arijit Ganguly
The goal of this paper is to establish a complete Khintchine-Groshev type theorem in both homogeneous and inhomogeneous setting, on analytic nondegenerate manifolds over a local fi…
Dirichlet improvability for -numbers
Sourav Das, Arijit Ganguly
We study the problem of improving Dirichlet's theorem of metric Diophantine approximation in the -adic setting. Our approach is based on translation of the problem related to Di…
PAC Mode Estimation using PPR Martingale Confidence Sequences
Shubham Anand Jain, Rohan Shah, Sanit Gupta +7
We consider the problem of correctly identifying the \textit{mode} of a discrete distribution with sufficiently high probability by observing a sequence of i.i.d. sam…
An Equisingular Specialisation of the Compactified Jacobian and its applications
Sourav Das, A. J. Parameswaran, Subham Sarkar
For any positive integer , let be a projective irreducible nodal curve with nodes. We show that the Betti numbers and the mixed Hodge numbers of the compactified Jacob…
A Torelli Type theorem for Nodal curves
Suratno Basu, Sourav Das
The moduli space of Gieseker vector bundles is a compactification of moduli of vector bundles on a nodal curve. This moduli space has only normal crossing singularity and it provid…
Relative Log-Symplectic structure on a semi-stable degeneration of moduli of Higgs bundles
Sourav Das
In a recent paper \cite{3}, a semi-stable degeneration of moduli space of Higgs bundles on a curve has been constructed. In this paper, we show that there is a relative log-symplec…
Spectral methods for small sample time series: A complete periodogram approach
Sourav Das, Suhasini Subba Rao, Junho Yang
The periodogram is a widely used tool to analyze second order stationary time series. An attractive feature of the periodogram is that the expectation of the periodogram is approxi…
Further results on weighted core inverse in a ring
Sourav Das, Jajati Keshari Sahoo, Ratikanta Behera
The notion of the weighted core inverse in a ring with involution was introduced, recently [Mosic et al. Comm. Algebra, 2018; 46(6); 2332-2345]. In this paper, we explore new repre…
Generalized Core Inverse in a proper -ring
Jajati Keshari Sahoo, Ratikanta Behera, Sourav Das +2
In this paper, we introduce the notion of weak core and central weak core inverse in a {\it proper -ring}. We further elaborate on these two classes by producing a few represent…
Geometric properties of the four parameters Wright function
Sourav Das, Khaled Mehrez
In this paper, four parameters Wright function is considered. Certain geometric properties such as starlikeness, convexity, uniform convexity and close-to-convexity are discussed f…
Pick Functions Related to the Multiple Gamma Functions of order
Sourav Das, A. Swaminathan
Let be the Barnes multiple Gamma function of order and the function be defined as \begin{align*} f_n(z)=\dfrac{\log G_n(z+1)}{z^n\Log z},\quad z\in \mathbb{C}\se…