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ErgComNum SIGNED

Ergodic theory and additive combinatorics

Total Cost €

0

EC-Contrib. €

0

Partnership

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Project "ErgComNum" data sheet

The following table provides information about the project.

Coordinator
THE HEBREW UNIVERSITY OF JERUSALEM 

Organization address
address: EDMOND J SAFRA CAMPUS GIVAT RAM
city: JERUSALEM
postcode: 91904
website: www.huji.ac.il

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Israel [IL]
 Project website http://www.ma.huji.ac.il/
 Total cost 1˙342˙500 €
 EC max contribution 1˙342˙500 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2015-CoG
 Funding Scheme ERC-COG
 Starting year 2016
 Duration (year-month-day) from 2016-05-01   to  2021-04-30

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    THE HEBREW UNIVERSITY OF JERUSALEM IL (JERUSALEM) coordinator 1˙342˙500.00

Map

 Project objective

The last decade has witnessed a new spring for dynamical systems. The field - initiated by Poincare in the study of the N-body problem - has become essential in the understanding of seemingly far off fields such as combinatorics, number theory and theoretical computer science. In particular, ideas from ergodic theory played an important role in the resolution of long standing open problems in combinatorics and number theory. A striking example is the role of dynamics on nilmanifolds in the recent proof of Hardy-Littlewood estimates for the number of solutions to systems of linear equations of finite complexity in the prime numbers. The interplay between ergodic theory, number theory and additive combinatorics has proved very fruitful; it is a fast growing area in mathematics attracting many young researchers. We propose to tackle central open problems in the area.

 Publications

year authors and title journal last update
List of publications.
2019 Aihua Fan, Jakub Konieczny
On uniformity of q‐multiplicative sequences
published pages: 466-488, ISSN: 0024-6093, DOI: 10.1112/blms.12245
Bulletin of the London Mathematical Society 51/3 2019-08-06
2018 Tanja Eisner, Jakub Konieczny
Automatic sequences as good weights for ergodic theorems
published pages: 4087-4115, ISSN: 1553-5231, DOI: 10.3934/dcds.2018178
Discrete & Continuous Dynamical Systems - A 38/8 2019-08-06
2018 Jakub Byszewski, Jakub Konieczny
Factors of generalised polynomials and automatic sequences
published pages: 981-985, ISSN: 0019-3577, DOI: 10.1016/j.indag.2018.03.003
Indagationes Mathematicae 29/3 2019-08-06
2019 David Kazhdan, Tamar Ziegler
Polynomial functions as splines
published pages: , ISSN: 1022-1824, DOI: 10.1007/s00029-019-0476-9
Selecta Mathematica 25/2 2019-08-06
2017 David Kazhdan, Tamar Ziegler
Approximate cohomology
published pages: , ISSN: 1022-1824, DOI: 10.1007/s00029-017-0335-5
Selecta Mathematica 2019-06-18
2017 David Kazhdan, Tamar Ziegler
On the bias of cubic polynomials
published pages: , ISSN: 1022-1824, DOI: 10.1007/s00029-017-0358-y
Selecta Mathematica 2019-06-18
2017 Terence Tao, Tamar Ziegler
Polynomial patterns in primes
published pages: , ISSN: 2050-5086, DOI:
Forum of Mathematics, PI 2019-06-18
2018 David Kazhdan, Tamar Ziegler
On Ranks of Polynomials
published pages: 1017-1021, ISSN: 1386-923X, DOI: 10.1007/s10468-018-9783-7
Algebras and Representation Theory 21/5 2019-05-09

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