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  • Initial boundary value problem for 1D scalar balance laws with strictly convex flux 
    Sahoo, Manas R.; SEN, ABHROJYOTI; Singh, Manish (Elsevier B.V., 2024-05)
    A Lax-Oleĭnik type explicit formula for 1D scalar balance laws has been recently obtained for the pure initial value problem by Adimurthi et al. in [2]. In this article, by introducing a suitable boundary functional, we ...
  • A characterization of bounded balanced convex domains in Cn 
    Chatterjee, Sanjoy; MONDAL, GOLAM MOSTAFA (Elsevier B.V., 2024-05)
    In this paper, we investigate the characterization of balanced bounded convex domains in Cn in terms of the squeezing function. As an application, we provide a characterization of the polydisc in Cn.
  • Higher moments of the pair correlation function for Sato-Tate sequences 
    MAHAJAN, JEWEL; SINHA, KANEENIKA  (Elsevier B.V., 2024-04)
    In [BS19], Balasubramanyam and the second named author derived the first moment of the pair correlation function for Hecke angles lying in small subintervals of [0,1] upon averaging over large families of Hecke newforms ...
  • Comparing two Proj-like constructions on toric varieties 
    MALLICK, VIVEK MOHAN; ROY, KARTIK (Elsevier B.V., 2024-04)
    The paper explores the relation between Perling's toric Proj of a multigraded ring A associated with a toric variety (tProj A) and Brenner and Schroer's homogeneous spectrum ProjMH A of the same ring. We show that there ...
  • Generating functions for the powers in GL(n, q) 
    KUNDU, RIJUBRATA; SINGH, ANUPAM (Springer Nature, 2024-04)
    Consider the set of all powers GL(n, q)M = {xM ∣ x ∈ GL(n, q)} for an integer M ≥ 2. In this article, we aim to enumerate the regular, regular semisimple and semisimple elements as well as conjugacy classes in the set GL(n, ...
  • On meeting and merging of stochastic flow of non-homogeneous Markov and semi-Markov dynamics 
    GOSWAMI, ANINDYA; Sahab, Subhamay; YADAV, RAVISHANKAR KAPILDEV (Taylor & Francis, 2024-03)
    We consider a general class of semi-Markov processes on countable state-space, with a differentiable kernel such that the embedded Markov chain may not be homogeneous. Using an SDE representation of the process, we study ...
  • Offensive alliances in graphs 
    GAIKWAD, AJINKYA; MAITY, SOUMEN (Elsevier B.V., 2024-03)
  • Semimartingale Representation of a Class of Semi-Markov Dynamics 
    GOSWAMI, ANINDYA; Saha, Subhamay; YADAV, RAVISHANKAR KAPILDEV (Springer, 2024-03)
    We consider a class of semi-Markov processes (SMP) such that the embedded discrete-time Markov chain may be non-homogeneous. The corresponding augmented processes are represented as semi-martingales using a stochastic ...
  • Existence of Global Entropy Solution for Eulerian Droplet Models and Two-phase Flow Model with Non-constant Air Velocity 
    SEN, ABHROJYOTI; Sen, Anupam (Springer Nature, 2024-01)
    This article addresses the question concerning the existence of global entropy solution for generalized Eulerian droplet models with air velocity depending on both space and time variables. When f (u) = u, kappa(t) = const. ...
  • On Structural Parameterizations of the Harmless Set Problem 
    GAIKWAD, AJINKYA; MAITY, SOUMEN (Springer Nature, 2024-01)
    In this paper, we study the HARMLESS SET problem from a parameterized complexity perspective. Given a graph G=(V,E), a threshold function t : V -> N and an integer k, we study HARMLESS SET, where the goal is to find a ...

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