4 papers
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…
Abundance of arithmetic progressions in some combiantorially large sets
Pintu Debnath, Sayan Goswami
Furstenberg and Glasner proved that for an arbitrary k in N, any piecewise syndetic set contains k length arithmetic progression and such collection is also piecewise syndetic in Z…
Application of Hales-Jewett theorem near 0
Pintu Debnath, Sayan Goswami
The famous van der Waerden theorem states that if partition N into finitely many cells then one of them will contain arbitrary length arithmetic progressions. It has a polynomial v…
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…