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  • An example for Kuznetsov-Shinder conjecture 
    Srivastava, Tanya Kaushal (Cornell University Library, 2024-01)
    We give an example for the Kuznetsov-Shinder conjecture, with infinitely many non-isomorphic D-equivalent and L-equivalent varieties.
  • Approximate controllability of a class of partial integro-differential equations of parabolic type 
    Kumar, Anil; Pani, Amiya K.; Joshi, Mohan C. (Cornell University Library, 2016-06)
    In this paper, we discuss the distributed control problem governed by the following parabolic integro-differential equation (PIDE) in the abstract form ∂y∂t+Ayy(0)==∫t0B(t,s)y(s)ds+Gu,t∈[0,T],(∗)y0∈X, where, y denotes ...
  • Approximation of linear controlled dynamical systems with small random noise and fast periodic sampling 
    Dhama, Shivam; Pahlajani, Chetan D (Cornell University Library, 2020-01)
    In this paper, we study the dynamics of a linear control system with given state feedback control law in the presence of fast periodic sampling at temporal frequency 1/? (0<??1), together with small white noise perturbations ...
  • Betti numbers of certain sum ideals 
    Sengupta, Indranath; Saha, Joydip; Tripathi, Gaurab (Cornell University Library, 2016-11)
    In this paper we compute the Betti numbers for ideals of the form I1(XY)+J, where X and Y are matrices and J is the ideal generated by the 2×2 minors of the matrix consisting of any two rows of X.
  • Cohen-Macaulay permutation graphs 
    Cheri, P. V.; Dey, Deblina; K, Akhil; Kotal, Nirmal; Veer, Dharm (Cornell University Library, 2023-10)
    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 ...
  • Computation of Gelfand-Kirillov dimension for B-type structures 
    Bhuva, Akshay; Saurabh, Bipul (Cornell University Library, 2023-10)
    Let O(Spinq1/2(2n+1)) and O(SOq(2n+1)) be the quantized algebras of regular functions on the Lie groups Spin(2n+1) and SO(2n+1), respectively. In this article, we prove that the Gelfand-Kirillov dimension of a simple ...
  • Determining time-dependent convection and density terms in convection-diffusion equation using partial data 
    Purohit, Anamika (Cornell University Library, 2024-01)
    In this article, we study an inverse boundary value problem for the time-dependent convection-diffusion equation. We use the nonlinear Carleman weight to recover the time-dependent convection term and time-dependent density ...
  • Fundamental groupoid schemes and semi-finite bundles 
    Adroja, Pavan; Amrutiya, Sanjay (Cornell University Library, 2024-11)
    In this article, we study the various fundamental groupoid schemes and semi-finite bundles on complex tori and Riemann surfaces. We have computed fundamental groupoid of anisotropic conic, Klein bottle and abelian varieties. ...
  • A generalized modified Bessel function and a higher level analogue of the theta transformation formula 
    Dixit, Atul; Kesarwani, Aashita; Moll, Victor H.; Temme, Nico M. (Cornell University Library, 2017-06)
  • Gersten-type conjecture for henselian local rings of normal crossing varieties 
    Sakagaito, Makoto (Cornell University Library, 2024-02)
    Let n≥0 be an integer. For a normal crossing variety Y over the spectrum of a field k of positive characteristic p>0, K.Sato defined an étale logarithmic Hodge-Witt sheaf λnY,r on the étale site Ye´t which agrees with ...
  • Gerstenhaber type structures on Davydov-Yetter cohomology with coefficients 
    Balodi, Mamta; Banerjee, Abhishek; Kour, Surjeet (Cornell University Library, 2025-08)
    We obtain Gerstenhaber type structures on Davydov-Yetter cohomology with coefficients in half-braidings for a monoidal functor. Our approach uses a formal analogy between half-braidings of a monoidal functor and the entwining ...
  • Group inverses of matrices of simple symmetric directed graphs 
    Nandi, Raju (Cornell University Library, 2023-12)
    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 ...
  • Hilbert-Kunz multiplicity of powers of ideals in dimension two 
    Stefani, Alessandro De; Masuti, Shreedevi K.; Rossi, Maria Evelina; Verma, Jugal K. (Cornell University Library, 2024-12)
    We study the behavior of the Hilbert-Kunz multiplicity of powers of an ideal in a local ring. In dimension two, we provide answers to some problems raised by Smirnov, and give a criterion to answer one of his questions in ...
  • Hodge decomposition theorem on compact d-Kähler manifolds 
    Amrutiya, Sanjay; Jaiswal, Ayush (Cornell University Library, 2024-06)
    In this article, we will explore the fundamental concepts, including various basic concepts on d-complex manifolds, along with several differential operators and examine the relationships between them. A d-Kähler manifold ...
  • Invariants of toric double determinantal rings 
    Biermann, Jennifer; Negri, Emanuela De; Gasanova, Oleksandra; Musapaşaoğlu, Aslı; Roy, Sudeshna (Cornell University Library, 2025-06)
  • Inverse boundary value problem for the convection-diffusion equation with local data 
    Kumar, Pranav; Purohit, Anamika (Cornell University Library, 2024-07)
    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 ...
  • Inversion formula, unique continuation property, and range characterization of the mixed ray transform in R2 
    Mishra, Rohit Kumar; Sahoo, Suman Kumar; Thakkar, Chandni (Cornell University Library, 2024-04)
    In this article, we study various aspects of the mixed ray transform of (k+ℓ)-tensor fields that are symmetric in its first k and last ℓ indices. As a first result, we derive an inversion algorithm to recover the solenoidal ...
  • Inversion of a restricted transverse ray transform with sources on a curve 
    Mishra, Rohit Kumar; Thakkar, Chandni (Cornell University Library, 2024-02)
    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 ...
  • Inversion of generalized Radon transform over symmetric m-tensor fields in Rn 
    Abhishek, Anuj; Mishra, Rohit Kumar; Thakkar, Chandni (Cornell University Library, 2025-02)
    In this work, we study a set of generalized Radon transforms over symmetric m-tensor fields in Rn. The longitudinal/transversal Radon transform and corresponding weighted integral transforms for symmetric m-tensor field ...
  • Inversion of generalized V-line transforms of vector fields in R2 
    Bhardwaj, Rahul; Mishra, Rohit Kumar; Vashisth, Manmohan (Cornell University Library, 2024-04)
    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 ...

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