Department of Mathematics/Recent Research
RECENT RESEARCH
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Measurings of Hopf algebroids and morphisms in cyclic (co)homology theories
[edit]Abhishek Banerjee, Surjeet Kour, Advances in Mathematics, 442, 2024. In this paper, we consider coalgebra measurings between Hopf algebroids and show that they induce morphisms on cyclic homology and cyclic cohomology. We also consider comodule measurings between stable anti-Yetter Drinfeld (SAYD) modules over Hopf algebroids. These give an enrichment of the global category...
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Structured eigenvalue backward errors for rational matrix functions with symmetry structures
[edit]Anshul Prajapati, Punit Sharma, BIT Numerical Mathematics, 64, 10, 2024.We derive computable formulas for the structured backward errors of a complex number when considered as an approximate eigenvalue of rational matrix functions that carry a symmetry structure. We consider symmetric, skew-symmetric, Hermitian, skew-Hermitian, \-palindromic, T-even, T-odd, \-even, and \*-odd...
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Rank-1 transition uncertainties in constrained Markov decision processes
[edit]V Varagapriya , Vikas Vikram Singh, Abdel Lisser, European Journal of Operational Research, 318, Issue 1, 2024. We consider an infinite-horizon discounted constrained Markov decision process (CMDP) with uncertain transition probabilities. We assume that the uncertainty in transition probabilities has a rank-1 matrix structure and the underlying uncertain parameters belong to a polytope. We formulate the uncertain CMDP...
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New bounds on the anti-Ramsey numbers of star graphs via maximum edge q-coloring
[edit]L. Sunil Chandran, Talha Hashim, Dalu Jacob, Rogers Mathew, Deepak Rajendraprasad, Nitin Singh, Discrete Mathematics, 347, Issue 9, 2024. The anti- Ramsey number with input graph G and pattern graph H is the maximum positive integer k such that there exists an edge coloring of G using k colors, in which there are no rainbow subgraphs isomorphic...
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Topological and combinatorial characterizations of normal 3-pseudomanifolds with g\_2 ≤ 5
[edit]Biplab Basak, Raju Kumar Gupta, Discrete Mathematics, 347, Issue 9, 2024. In recent years, characterizing normal pseudomanifolds with respect to small has become a very popular topic. For normal 3-pseudomanifolds with g2 ≤ 4 and 3-manifolds with g2 ≤ 9 , the topological and combinatorial characterizations are known. In this article, we...
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Second order divergence constraint preserving entropy stable finite difference schemes for ideal two-fluid plasma flow equations
[edit]Jaya Agnihotri, Deepak Bhoriya, Harish Kumar, Praveen Chandrashekhar, Dinshaw S Balsara, Journal of Scientific Computing, 101, Issue 46, 2024. Two-fluid plasma flow equations describe the flow of ions and electrons with different densities, velocities, and pressures. We consider the ideal plasma flow i.e. we ignore viscous, resistive and collision effects. The...
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High energy solutions for p-Kirchhoff elliptic problems with Hardy-Littlewood-Sobolev nonlinearity
[edit]Divya Goel, Sushmita Rawat, K Sreenadh, Journal of Geometric Analysis, 34, Issue 1, 2024. This article deals with the study of the following Kirchhoff–Choquard problem: M∫ RN\|∇ u\| p (-Δ p) u+ V (x)\| u\| p-2 u=∫ RNF (u)(y)\| x-y\| μ dyf (u), in RN, u> 0, in RN, where...
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Parameterized complexity of untangling knots
[edit]Clément Legrand-Duchesne, Ashutosh Rai, Martin Tancer, SIAM Journal on Computing, 53, Issue 2, 2024. Deciding whether a diagram of a knot can be untangled with a given number of moves (as a part of the input) is known to be NP-complete. In this paper we determine the parameterized complexity of...
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Cyclic locally recoverable LCD codes with the help of cyclotomic polynomials
[edit]Anuj Kumar Bhagat, Ritumoni Sarma, Finite Fields and Their Applications, 101, 2025. This article explores two families of cyclic codes over Fq of length n denoted by Cn and Cn, 1, which are generated by the n-th cyclotomic polynomial Q n(x) and the polynomial Q n(x)Q 1(x), respectively. We find...
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Fractal dimensions of fractal transformations and quantization dimensions for bi-Lipschitz mappings
[edit]Amit Priyadarshi, Manuj Verma, Saurabh Verma, Journal of Fractal Geometry, 2024. In this paper, we study the fractal dimension of the graph of a fractal transformation and also determine the quantization dimension of a probability measure supported on the graph of the fractal transformation. Moreover, we estimate the quantization dimension of...
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Optimal investment-disinvestment choices in health-dependent variable annuity
[edit]Guglielmo D'Amico, Shakti Singh, Dharmaraja Selvamuthu, Insurance: Mathematics and Economics, 117, 1-15, 2024. This paper exploits the influence of the policyholder's health status on the optimal time at which the policyholder decides to stop paying health-dependent premiums and starts withdrawing health-dependent benefits from a variable annuity (VA) contract accompanied by a guaranteed...
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Multilinear Fourier integral operators on modulation spaces
[edit]Aparajita Dasgupta, Lalit Mohan, Shyam Swarup Mondal, Forum Mathematicum, 36 (5), 1393-1410, 2024. In this article, we study properties of multilinear Fourier integral operators on weighted modulation spaces. In particular, using the theory of Gabor frames, we study boundedness of multilinear Fourier integral operators on products of weighted modulation spaces. Further, we...
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Online geometric covering and piercing
[edit]Minati De, Saksham Jain, Sarat Varma Kallepalli, Satyam Singh, Algorithmica 86(9): 2739-2765 (2024).We consider the online piercing set problem, where geometric objects arrive one by one, and the online algorithm must maintain a valid piercing set for the already arrived objects by making irrevocable decisions. Any deterministic online algorithm has a competitive ratio of Ω(n) when the objects are intervals. This paper...
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Least squares for cardinal paired comparisons data.
[edit]Rahul Singh, George Iliopoulos and Ori Davidov. Journal of the Royal Statistical Society Series B: Statistical Methodology, 2025. DOI: 10.1093/jrsssb/qkaf035 Least square estimators for graphical models for cardinal paired comparison data with and without covariates are rigorously analyzed. Novel, graph–based, necessary and sufficient conditions that guarantee strong consistency, asymptotic normality and the exponential...
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Asymptotic Results for Dynamic Contagion Processes with Different Exciting Functions and Application to Risk Models
[edit]Shamiksha Pandey, S. Dharmaraja and Paola Tardell. Journal of Mathematical Analysis and Applications, Vol. 547 (Issue 2), 129392, 2025. A class of point processes is introduced, the so-called dynamic contagion processes having different exciting functions. This is a generalization of that of Hawkes processes as well as of Cox processes with Poisson...
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Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order
[edit]A. Dasgupta, V. Kumar, S. S. Mondal and M. Ruzhansky,
Journal of Evolution Equations 24 , no. 3, Paper No. 51, 35 pp (2024).
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Optimal rates for functional linear regression with general regularization
[edit]N. Gupta, S. Sivananthan, B.K. Sriperumbudur, Applied and Computational Harmonic Analysis , Vol 76, Atricle 101745, 2025.Functional linear regression is one of the fundamental and well-studied methods in functional data analysis. In this work, we investigate the functional linear regression model within the context of reproducing kernel Hilbert space by employing...
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Eigenvalue backward errors of Rosenbrock systems and optimization of sums of Rayleigh quotient
[edit]D. Lu, A. Prajapati, P. Sharma, S. Bora, SIAM Journal on Matrix Analysis and Applications, 46, 2025. We address the problem of computing the eigenvalue backward error of the Rosenbrock system matrix under various types of block perturbations. We establish novel characterizations of these backward errors using a class of...
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Space-time fractional parabolic equations on a metric star graph with spatial fractional derivative of Sturm-Liouville type: analysis and discretization
[edit]Vaibhav Mehandiratta and Mani Mehra, Fractional Calculus and Applied Analysis, Vol. 28, pp. 862--892 (2025) In this paper, we study the well-posedness and discretization of the space-time fractional parabolic equations (STFPEs) of the Sturm-Liouville type on a metric star graph. The considered problem involves the fractional time derivative in the...
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Topological and combinatorial characterizations of normal 3-pseudomanifolds with $g\_2 \\leq 5$
[edit]B. Basak and R. K. Gupta, Discrete Math. 347 (9) (2024), Paper No.114073, 12 pp. In recent years, the study of normal pseudomanifolds with small values of g two has become a very popular topic. For normal three-dimensional pseudomanifolds with g two less than or equal to four, and...
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Two-stage and purely sequential minimum risk point estimation of the scale parameter of a family of distributions under modified LINEX loss plus sampling cost
[edit]Joshi, N., Bapat, S.R., and Sengupta, R.N. (2025). Metrika, 88(5): 689-707. In this research, we present two-stage and purely sequential methodologies for estimating the scale parameter of the Moore and Bilikam family of lifetime distributions (see Moore and Bilikam in IEEE Trans Reliabil 27:64–67, 1978). We propose our methodologies...
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Continuous-Time Multivariate Analysis
[edit]Biplab Paul , Philip T. Reiss, Erjia Cui , and Noemi Foà, JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS 2025, VOL. 34, NO. 1, 384–39 The starting point for much of multivariate analysis (MVA) is an n × p data matrix whose n rows represent observations and whose p columns...
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An approximation theoretic revamping of fractal interpolation surfaces on triangular domains
[edit]P. Viswanathan, Fractional Calculus and Applied Analysis, 27, (2024), 2419-2455.
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On disjunctive Rado number for some systems of equations
[edit]A. Dileep, Jai Moondra & A. Tripathi, Electronic Journal of Combinatorics 31, No.1 (2024), #P1.69
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Stochastic fractional conservation laws: large deviation principle, central limit theorem and moderate deviation principle
[edit]Behera, Soumya Ranjan; Majee, Ananta K. Stoch. Partial Differ. Equ. Anal. Comput. 13 (2025), no. 3, 1361–1406. In this article, we establish the Freidlin-Wentzell type large deviation principle for stochastic fractional conservation laws with small multiplicative noise in the kinetic formulation framework. The weak convergence method and the doubling...
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Differential torsion theories on Eilenberg-Moore categories of monads
[edit]D. Ahuja and S. Kour, J. Pure Appl. Algebra, 229(2025), 107910. Let C be a Grothendieck category and U be a monad on C that is exact and preserves colimits. In this article, we prove that every hereditary torsion theory on the Eilenberg-Moore...
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A posteriori error analysis of hybrid high-order methods for the elliptic obstacle problem
[edit]Kamana Porwal and Ritesh Singla. Journal of Scientific Computing (2025), no. 1, Paper No. 15, 20 pp. In this article, a posteriori error analysis of the elliptic obstacle problem is addressed using hybrid high-order methods. The method involve cell unknowns represented by degree-r polynomials and face unknowns represented...
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Infinitude of zeros of the Lerch zeta function on the half plane Re(s)>1
[edit]Biswajyoti Saha and Dhananjaya Sahu, to appear in J. Number Theory. 2025+
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Integer solutions of the generalised polynomial Pell equations and their finiteness: the quadratic case
[edit]Akanksha Gupta and Ekata Saha, Canadian Mathematical Bulletin, 2025.
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On the degenerate Whittaker space for GL\_4(o\_2)
[edit]Ankita Parashar and Shiv Prakash Patel, Journal of Pure and Applied Algebra, 2025.
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Toric Richardson varieties
[edit]Mahir Bilen Can, Pinakinath Saha, Comm. Algebra 53, no. 5, 1770–1790, 2025.
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Equations defining the Rees algebra of ideals and the G\_{d−1} condition
[edit]S. Kumar, V. Mukundan, J. Algebra 678, 426–462, 2025.
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Bratteli-Vershikisability of polygonal billiards on the hyperbolic plane
[edit]A. Nagar, P. Singh, J. Aust. Math. Soc. 117, no. 1, 85–104, 2024.
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Paley inequality for the Weyl transform and its applications
[edit]R. Singhal, N. Shravan Kumar, Forum Math. 37, no. 6, 1913–1915, 2025.
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Almost second order parameter-uniform convergent alternate overlapping Schwarz method for singularly perturbed convection-diffusion problems
[edit]SCS. Rao, V. Srivastava, Ric. Mat. 73, no. 5, 2617–2648, 2024.
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On the complexity of minimum maximal acyclic matchings
[edit]Juhi Chaudhary, Sounaka Mishra, B. S. Panda, J. Comb. Optim. 48(1): 10, 2024.
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