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math.DS2024
On dynamical -set and its combinatorial consequences
Pintu Debnath, Sayan Goswami
Using the methods from topological dynamics, H. Furstenberg introduced the notion of a central set and proved the famous Central Sets Theorem. Later D. De, Neil Hindman, and D. Str…
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…