000198055 001__ 198055
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000198055 0247_ $$2CORDIS$$aG:(EU-Grant)682150$$d682150
000198055 0247_ $$2CORDIS$$aG:(EU-Call)ERC-2015-CoG$$dERC-2015-CoG
000198055 0247_ $$2originalID$$acorda__h2020::682150
000198055 035__ $$aG:(EU-Grant)682150
000198055 150__ $$aErgodic theory and additive combinatorics$$y2016-05-01 - 2021-10-31
000198055 371__ $$aHebrew University of Jerusalem$$bHUJI$$dIsrael$$ehttp://new.huji.ac.il/en$$vCORDIS
000198055 372__ $$aERC-2015-CoG$$s2016-05-01$$t2021-10-31
000198055 450__ $$aErgComNum$$wd$$y2016-05-01 - 2021-10-31
000198055 5101_ $$0I:(DE-588b)5098525-5$$2CORDIS$$aEuropean Union
000198055 680__ $$aThe 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.
000198055 909CO $$ooai:juser.fz-juelich.de:822702$$pauthority$$pauthority:GRANT
000198055 909CO $$ooai:juser.fz-juelich.de:822702
000198055 970__ $$aoai:dnet:corda__h2020::045f4ba27b46ebb82c7ce12afcea001e
000198055 980__ $$aG
000198055 980__ $$aCORDIS
000198055 980__ $$aAUTHORITY