ErgComNum SIGNED
Ergodic theory and additive combinatorics
Total Cost €
0EC-Contrib. €
0Partnership
0Views
0ErgComNum project word cloud
Explore the words cloud of the ErgComNum project. It provides you a very rough idea of what is the project "ErgComNum" about.
Project "ErgComNum" data sheet
The following table provides information about the project.
| Coordinator |
THE HEBREW UNIVERSITY OF JERUSALEM
Organization address contact info |
| 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.
| # | ||||
|---|---|---|---|---|
| 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 |
|---|---|---|---|
| 2019 |
Aihua Fan, Jakub Konieczny On uniformity of qâ€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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