Zobrazeno 1 - 10
of 67
pro vyhledávání: '"FREIMAN, GREGORY"'
A conjecture of Freiman gives an exact formula for the largest volume of a finite set $A$ of integers with given cardinality $k = |A|$ and doubling $T = |2A|$. The formula is known to hold when $T \le 3k-4$, for some small range over $3k-4$ and for f
Externí odkaz:
http://arxiv.org/abs/1808.08455
Autor:
Freiman, Gregory A., Herzog, Marcel, Longobardi, Patrizia, Maj, Mercede, Stanchescu, Yonutz V.
Publikováno v:
European Journal of Combinatorics, Volume 67, 2018, Pages 87-95
The aim of this paper is to present a complete description of the structure of finite subsets with small doubling property in ordered nilpotent groups of class 2.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/1605.07126
Autor:
Freiman, Gregory A., Herzog, Marcel, Longobardi, Patrizia, Maj, Mercede, Plagne, Alain, Stanchescu, Yonutz V.
Publikováno v:
Groups, Geometry, and Dynamics, pp. 585-612, Vol.11, Issue 2, 2017
We prove several new results on the structure of the subgroup generated by a small doubling subset of an ordered group, abelian or not. We obtain precise results generalizing Freiman's 3k-3 and 3k-2 theorems in the integers and several further genera
Externí odkaz:
http://arxiv.org/abs/1501.01838
Autor:
Freiman, Gregory A.
The study of the additive volume of sets can be reduced to the case of one-dimensional sets. The exact values of the volume of extremal sets are given as a conjecture.
Externí odkaz:
http://arxiv.org/abs/1412.5082
Autor:
Freiman, Gregory A.
We are discussing the theorem about the volume of a set $A$ of $Z^n$ having a small doubling property $|2A| < Ck, k=|A|$ and oher problems of Structure Theory of Set Addition (Additive Combinatorics).
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/1204.5288
Autor:
Freiman, Gregory A., Herzog, Marcel, Longobardi, Patrizia, Maj, Mercede, Stanchescu, Yonutz V.
Publikováno v:
In European Journal of Combinatorics January 2018 67:87-95
Autor:
Freiman, Gregory, Granovsky, Boris
Publikováno v:
Transactions of AMS, Volume 357, Number 6, pages 2483-2507, (2004)
We develop a unified approach to the problem of clustering in the three different fields of applications, as indicated in the title the paper. The approach is based on Khintchine's probabilistic method that grew out of the Darwin-Fawler method in sta
Externí odkaz:
http://arxiv.org/abs/math/0207265
Autor:
Freiman, Gregory, Granovsky, Boris
Publikováno v:
Published in:Israel J. of Mathematics,130(2002),259-279
We construct a probability model seemingly unrelated to the considered stochastic process of coagulation and fragmentation. By proving for this model the local limit theorem, we establish the asymptotic formula for the partition function of the equil
Externí odkaz:
http://arxiv.org/abs/math/0207227
Publikováno v:
Transactions of the American Mathematical Society, 2005 Jun 01. 357(6), 2483-2507.
Externí odkaz:
https://www.jstor.org/stable/3845264
Publikováno v:
In European Journal of Combinatorics November 2013 34(8):1338-1347