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math.DS2021
Dynamical characterization of central sets along filter
Pintu Debnath, Sayan Goswami
Using the notions of Topological dynamics, H. Furstenberg defined central sets and proved the Central Sets Theorem. Later V. Bergelson and N. Hindman characterized central sets in…
math.DS2020
Essential F sets and mixing properties
Pintu Debnath, Sayan Goswami
There is a long history of studying Ramsey theory using the algebraic structure of Stone-Cech compactification of discrete semigroup. It has been shown that various Ramsey theoreti…
math.DS2017
IP-sets in function field and mixing properties
Dibyendu De, Pintu Debnath
The ring of polynomial over a finite field has received much attention, both from a combinatorial viewpoint as in regards to its action on measurable dynamical systems. In…