60 citations · 74 across the 13 of their papers we have counts for
15 papers
Polynomial extension of the Stronger Central Sets Theorem
Sayan Goswami, Lorenzo Luperi Baglini, Sourav Kanti Patra
In [F81] Furstenberg introduced the notion of central set and established his famous Central Sets Theorem. Since then, several improved versions of Furstenberg's result have been f…
Dynamical notions along filters
Lorenzo Luperi Baglini, Sourav Kanti Patra, Md Moid Shaikh
We study the localization along a filter of several dynamical notions. This generalizes and extends similar localizations that have been considered in the literature, e.g. near 0 a…
Product of some large sets near idempotent
Surajit Biswas, Sourav Kanti Patra, Sabyasachi Dey
We characterize when the finite Cartesian product of central sets near idempotent is central near idempotent. Moreover, we provide a partial characterization for the infinite Carte…
Track Finding at Belle II
Valerio Bertacchi, Tadeas Bilka, Nils Braun +55
This paper describes the track-finding algorithm that is used for event reconstruction in the Belle II experiment operating at the SuperKEKB B-factory in Tsukuba, Japan. The algori…
Almost separable spaces
Sagarmoy Bag, Ram Chandra Manna, Sourav Kanti Patra
We have defined almost separable space. We show that like separability, almost separability is productive and converse also true under some restrictions. We establish a Baire C…
Dynamics Near An Idempotent
Md Moid Shaikh, Sourav Kanti Patra
Hindman and Leader first introduced the notion of semigroup of ultrafilters converging to zero for a dense subsemigroups of . Using the algebraic structure of the S…
-normal and -Tychonoff spaces
Sagarmoy Bag, Ram Chandra Manna, Sourav Kanti Patra
A space is called -normal(-Tychonoff) space if there exists a normal(Tychonoff) space and a bijection such that is homeomo…
Monochromatic sums equal to products near zero
Sourav Kanti Patra, Md Moid Shaikh
Hindman proved that, whenever the set of naturals is finitely colored, there must exist non-constant monochromatic solution of the equation . In this paper we…
D-sets in Arbitrary Semigroup
Surajit Biswas, Bedanta Bose, Sourav Kanti Patra
We define the notion of -set in an arbitrary semigroup, and with some mild restrictions we establish its dynamical and combinatorial characterizations. Assuming a weak form of c…
New Classes of Infinite Image Partition Regular Matrices Near Zero
Ram Chandra Manna, Sourav Kanti Patra, Rajib Sarkar
Image partition regular matrices near zero generalizes many classical results of Ram- sey Theory. There are several characterizations of finite image partition regular matrices nea…
Infinite image partition regular matrices - Solution in C-sets
Sukrit Chakraborty, Sourav Kanti Patra
A finite or infinite matrix is image partition regular provided that whenever is finitely colored, there must be some with entries from…
C-image partition regularity near zero
Sourav Kanti Patra, Sukrit Chakraborty
In \cite{dehind1}, the concept of image partition regularity near zero was first instigated. In contrast to the finite case , infinite image partition regular matrices near zero ar…
Dynamical characterization of combinatorially rich sets near zero
Sourav Kanti Patra
Hindman and Leader first introduced the notion of Central sets near zero for dense subsemigroups of and proved a powerful combinatorial theorem about such sets. Us…
Diagonal sum of infinite image partition regular matrices
Sourav Kanti Patra, Ananya Shyamal
A finite or infinite matrix is image partition regular provided that whenever is finitely colored, there must be some with entries from such t…
Concerning partition regular matrices
Sourav Kanti Patra, Swapan Kumar Ghosh
A finite or infinite matrix is image partition regular provided that whenever is finitely colored, there must be some with entries from such t…