5 citations · 6 across the 5 of their papers we have counts for
5 papers
Recurrence in a dynamical system over adequate partial semigroups
Md Moid Shaikh, Shivam Kumar, Sourav Kanti Patra
Using tools from topological dynamics, H.~Furstenberg introduced the notion of \emph{central sets} and established the celebrated Central Sets Theorem. The sets which satisfy the c…
Monochromatic Sums and Quotients Near Zero
Md Moid Shaikh, Sourav Kanti Patra, Mukesh Kumar
Recently S. Goswami proved that whenever the set of natural numbers is finitely colored, the set is monochromatic which also established a varian…
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…
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…
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…