2 citations · 2 across the 15 of their papers we have counts for
16 papers
On weak Wolff--Denjoy theorem for certain non-convex domains
Vikramjeet Singh Chandel, Sanjoy Chatterjee, Chandan Sur
In this paper, we provide a class of domains in , such that every holomorphic self-map of that domain either has a fixed point or the sequence of iterates is compactl…
Horofunction compactifications and local Gromov model domains
Vikramjeet Singh Chandel, Sushil Gorai, Anwoy Maitra +1
We explore the horofunction compactification of complete hyperbolic domains in complex Euclidean space equipped with the Kobayashi distance. We provide a sufficient condition under…
The metric compactification of a Kobayashi hyperbolic complex manifold and a Denjoy--Wolff Theorem
Vikramjeet Singh Chandel, Nishith Mandal
We study the metric compactification of a Kobayashi hyperbolic complex manifold \(\mathcal{X} \) equipped with the Kobayashi distance \( \mathsf{k}_{\mathcal{X}} \). We show that t…
Geometry of horospheres in Kobayashi hyperbolic domains
Vikramjeet Singh Chandel, Nishith Mandal
For a Kobayashi hyperbolic domain, Abate introduced the notion of small and big horospheres of a given radius at a boundary point with a pole. In this article, we investigate which…
Visibility property in one and several variables and its applications
Vikramjeet Singh Chandel, Sushil Gorai, Anwoy Maitra +1
In this paper we report our investigations on visibility with respect to the Kobayashi distance and its applications, with a special focus on planar domains. We prove that totally…
Robust Causality and False Attribution in Data-Driven Earth Science Discoveries
Elizabeth Eldhose, Tejasvi Chauhan, Vikram Chandel +2
Causal and attribution studies are essential for earth scientific discoveries and critical for informing climate, ecology, and water policies. However, the current generation of me…
Notions of Visibility with respect to the Kobayashi distance: Comparison and Applications
Vikramjeet Singh Chandel, Anwoy Maitra, Amar Deep Sarkar
In this article, we study notions of visibility with respect to the Kobayashi distance for relatively compact complex submanifolds in Euclidean spaces. We present a sufficient cond…
On a spectral version of Cartan's theorem
Sayani Bera, Vikramjeet Singh Chandel, Mayuresh Londhe
For a domain in the complex plane, we consider the domain consisting of those complex matrices whose spectrum is contained in . Given a holomorphic self…
Interpolating sequences for the Banach algebras generated by a class of test functions
Anindya Biswas, Vikramjeet Singh Chandel
Given a domain in and a collection of test functions on , we consider the complex-valued -Schur-Agler class associated to the pair . In this a…
Certain non-homogeneous matricial domains and Pick-Nevanlinna interpolation problem
Vikramjeet Singh Chandel
In this article, we consider certain matricial domains that are naturally associated to a given domain of the complex plane. A particular example of such domains is the spectral un…
On the Nevanlinna problem -- Characterization of all Schur-Agler class solutions affiliated with a given kernel
Tirthankar Bhattacharyya, Anindya Biswas, Vikramjeet Singh Chandel
Given a domain in , and a finite set of points and (the open unit disc in the complex plane), the \…
On the Nevanlinna problem - Characterization of all Schur-Agler class solutions
Tirthankar Bhattacharyya, Anindya Biswas, Vikramjeet Singh Chandel
Given a domain in , and a finite set of points and (the open unit disc in the complex plane), the $Pick\, i…
Irreducibility of a sum of polynomials depending on disjoint sets of variables
Vikramjeet Singh Chandel, Uma Dayal
In this article, we give two different sufficient conditions for the irreducibility of a polynomial of more than one variable, over the field of complex numbers, that can be writte…
The 3-point spectral Pick interpolation problem and an application to holomorphic correspondences
Vikramjeet Singh Chandel
We provide a necessary condition for the existence of a 3-point holomorphic interpolant , . Our condition is inequivalent to the necessary…
Pick interpolation on the polydisc: small families of sufficient kernels
Gautam Bharali, Vikramjeet Singh Chandel
We give a solution to Pick's interpolation problem on the unit polydisc in , , by characterizing all interpolation data that admit a -valued inte…
The three-point Pick-Nevanlinna interpolation problem on the polydisc
Vikramjeet Singh Chandel
We give a characterization for the existence of a holomorphic interpolant on the unit polydisc for prescribed three-point Pick--Nevanlinna data. One of t…