Zobrazeno 1 - 10
of 116
pro vyhledávání: '"DE, DIBYENDU"'
Autor:
De, Dibyendu, Pal, Sujan
Hindman's theorem and van der Waerden's theorem are two classical Ramsey theoretic results, the first one deals with finite configurations and the second one deals with infinite configurations. The Central Sets Theorem due to Furstenberg is a strong
Externí odkaz:
http://arxiv.org/abs/2407.16199
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 terms of algebra of the Stone-\v{C}ech compactification of discrete se
Externí odkaz:
http://arxiv.org/abs/2310.02020
Autor:
De, Dibyendu, Debnath, Pintu
H.Furstenberg and E.Glasner proved that for an arbitrary $k\in\mathbb{N}$, any piecewise syndetic set of integers contains a $k$-term arithmetic progression and the collection of such progressions is itself piecewise syndetic in $\mathbb{Z}.$ The abo
Externí odkaz:
http://arxiv.org/abs/2211.12372
There is a long history of studying Ramsey theory using the algebraic structure of the Stone-\v{C}ech compactification of discrete semigroup. It has been shown that various Ramsey theoretic structures are contained in different algebraic large sets.
Externí odkaz:
http://arxiv.org/abs/2108.05200
We estimate size of recurrence of an action of a nilpotent group by homeomorphisms of a compact space for polynomial mappings into a nilpotent group form the partial semigroup $(\mathcal{P}_{f}(\mathbb{N}),\uplus)$. To do this we have used algebraic
Externí odkaz:
http://arxiv.org/abs/1810.05097
Autor:
De, Dibyendu, Debnath, Pintu
Publikováno v:
Topology and its Applications 228, (2017), 294 -302
The ring of polynomial over a finite field $F_q[x]$ has received much attention, both from a combinatorial viewpoint as in regards to its action on measurable dynamical systems. In the case of $(\mathbb{Z},+)$ we know that the ideal generated by any
Externí odkaz:
http://arxiv.org/abs/1706.10010
Autor:
De, Dibyendu, Debnath, Pintu
In the present paper our main objective is to extend the notion of $D$-sets in countable amenable groups and to discuss its connection with weak mixing for amenable group actions. Further we prove that *-notions are equivalent in the countable amenab
Externí odkaz:
http://arxiv.org/abs/1409.1507
Autor:
Suvro Sankha Datta, De Dibyendu
Publikováno v:
Global Journal of Transfusion Medicine, Vol 5, Iss 2, Pp 202-205 (2020)
Background and Objectives: Thromboelastography platelet mapping (TEG-PM) is primarily used to monitor the effectiveness of antiplatelet medications by assessing the inhibition of thromboxane A2 and adenosine diphosphate (ADP) receptors. The objective
Externí odkaz:
https://doaj.org/article/c6bbf3bfe5bb4d718ffdd498304e482c
The notion of Image partition regularity near zero was first introduced by De and Hindman. It was shown there that like image partition regularity over $\mathbb{N}$ the main source of infinite image partition regular matrices near zero are Milliken-
Externí odkaz:
http://arxiv.org/abs/1309.7425
Autor:
De, Dibyendu
It is known that for an IP${^\star}$ set $A$ in $\mathbb{N}$ and a sequence $< x_{n}>_{n=1}^{\infty}$ there exists a sum subsystem $< y_{n}>_{n=1}^{\infty}$ of $< x_{n}>_{n=1}^{\infty}$ such that $FS(< y_n>_{n=1}^\infty)\cup FP(< y_n>_{n=1}^\infty)\s
Externí odkaz:
http://arxiv.org/abs/1302.4270