Homogenous dynamics, arithmetic and equidistribution

Project Information

HomDyn

Grant agreement ID: 833423

DOI

10.3030/833423

Project closed

EC signature date 11 April 2019

Start date 1 June 2019

End date 30 November 2024

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 2 090 625,00

EU contribution

€ 2 090 625,00

Coordinated by

THE HEBREW UNIVERSITY OF JERUSALEM
Israel

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (22)

Trou spectral dans les groupes simples

Author(s): Weikun He, Nicolas de Saxcé
Published in: L’Enseignement Mathématique, Issue 70, 2024, Page(s) 425-477, ISSN 2309-4672
Publisher: European Mathematical Society
DOI: 10.4171/lem/1078

Winning property of badly approximable points on curves

Author(s): Victor Beresnevich, Erez Nesharim, Lei Yang
Published in: Duke Mathematical Journal, Issue 171, 2024, ISSN 0012-7094
Publisher: Duke University Press
DOI: 10.1215/00127094-2022-0038

Slow entropy of some combinatorial constructions

Author(s): Shilpak Banerjee, Philipp Kunde, Daren Wei
Published in: Nonlinearity, Issue 36, 2023, Page(s) 2923-2974, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/acc920

Quantitative equidistribution and the local statistics of the spectrum of a flat torus

Author(s): Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang
Published in: Journal d'Analyse Mathématique, Issue 151, 2023, Page(s) 181-234, ISSN 0021-7670
Publisher: Magnes Press
DOI: 10.1007/s11854-023-0332-x

Time change for unipotent flows and rigidity

Author(s): Elon Lindenstrauss, Daren Wei
Published in: Mathematics Research Reports, Issue 4, 2024, Page(s) 11-22, ISSN 2772-9559
Publisher: American Institute of Mathematical Sciences
DOI: 10.5802/mrr.15

Arithmetic Groups and the Lehmer Conjecture

Author(s): Lam Pham, François Thilmany
Published in: israel journal of mathematics, 2021, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-021-2229-7

Polynomial effective equidistribution

Author(s): Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang
Published in: Comptes Rendus. Mathématique, Issue 361, 2024, Page(s) 507-520, ISSN 1631-073X
Publisher: Elsevier Masson
DOI: 10.5802/crmath.411

Horospherical invariant measures and a rank dichotomy for Anosov groups

Author(s): Or Landesberg, null null, Minju Lee, Elon Lindenstrauss, Hee Oh, null null, null null
Published in: Journal of Modern Dynamics, Issue 19, 2023, Page(s) 331-362, ISSN 1930-5311
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/jmd.2023009

Excursions to the cusps for geometrically finite hyperbolic orbifolds and equidistribution of closed geodesics in regular covers

Author(s): Ron Mor
Published in: Ergodic Theory and Dynamical Systems, 2022, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2021.101

Slow entropy for some Anosov-Katok diffeomorphisms

Author(s): Shilpak Banerjee, null null, Philipp Kunde, Daren Wei, null null, null null
Published in: Discrete and Continuous Dynamical Systems, Issue 43, 2022, Page(s) 209-255, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2022147

Horospherically invariant measures and finitely generated Kleinian groups

Author(s): Landesberg, Or
Published in: Journal of Modern Dynamics, Issue 2, 2020, ISSN 1930-5311
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/jmd.2021012

On radon measures invariant underhorospherical flows on geometrically infinite quotients

Author(s): Or Landesberg, Elon Lindenstrauss
Published in: IMRN, 2021, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnab024

Bad(w) is hyperplane absolute winning

Author(s): Victor Beresnevich, Erez Nesharim, Lei Yang
Published in: GAFA, 2021, ISSN 1016-443X
Publisher: Birkhauser Verlag

Affine random walks on the torus

Author(s): Weikun He, Tsviqa Lakrec, Elon Lindenstrauss
Published in: IMRN, 2021, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa322

Rigidity properties for commutingautomorphisms on tori and solenoids

Author(s): Manfred Einsiedler, Elon Lindenstrauss
Published in: Ergodic Theory and Dynamical Systems, 2021, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2021.74

Equidistribution of rational subspaces and their shapes

Author(s): MENNY AKA, ANDREA MUSSO, ANDREAS WIESER
Published in: Ergodic Theory and Dynamical Systems, Issue 44, 2024, Page(s) 2009-2062, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2023.107

Polynomial effective density in quotients of $${\mathbb {H}}^3$$ and $${\mathbb {H}}^2\times {\mathbb {H}}^2$$

Author(s): E. Lindenstrauss, A. Mohammadi
Published in: Inventiones mathematicae, Issue 231, 2023, Page(s) 1141-1237, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-022-01162-5

Scenery Reconstruction for Random Walk on Random Scenery Systems

Author(s): Lakrec, Tsviqa
Published in: Israel Journal of Math., Issue 2, 2022, ISSN 0021-2172
Publisher: Magnes Press

Hausdorff dimension of singular vectors in function fields

Author(s): Noy Soffer Aranov, Taehyeong Kim
Published in: Advances in Mathematics, Issue 461, 2025, Page(s) 110084, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2024.110084

Kakutani equivalence for products of some special flows over rotations

Author(s): DAREN WEI
Published in: Ergodic Theory and Dynamical Systems, 2021, Page(s) 1-28, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2020.140

Positive Entropy Using Hecke Operators at a Single Place

Author(s): Zvi Shem-Tov
Published in: International Mathematics Research Notices, 2020, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa235

Slow entropy of higher rank abelian unipotent actions

Author(s): Adam Kanigowski, null null, Philipp Kunde, Kurt Vinhage, Daren Wei, null null, null null, null null
Published in: Journal of Modern Dynamics, Issue 18, 2022, Page(s) 575-607, ISSN 1930-5311
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/jmd.2022018

Book chapters (1)

Equidistribution of Affine Random Walks on Some Nilmanifolds

Author(s): Weikun He, Tsviqa Lakrec, Elon Lindenstrauss
Published in: Analysis at Large, 2022, Page(s) 131-171
Publisher: Springer International Publishing
DOI: 10.1007/978-3-031-05331-3_7