New horizons in homogeneous dynamics and its applications

Project Information

HD-App

Grant agreement ID: 754475

DOI

10.3030/754475

Project closed

EC signature date 23 October 2017

Start date 1 October 2018

End date 30 September 2024

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 432 730,00

EU contribution

€ 1 432 730,00

Coordinated by

TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY
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

Other (6)

On the rate of convergence of continued fraction statistics of random rationals

Author(s): Ofir David, Taehyeong Kim, Ron Mor, Uri Shapira
Published in: Selecta Mathematica (to appear), 2025, ISSN 1420-9020
Publisher: Birkhauser
DOI: 10.48550/arxiv.2401.15586

Winning property of badly approximable points on curves

Author(s): Victor Beresnevich, Erez Nesharim, Lei Yang
Published in: arxiv (submitted), 2020
Publisher: arxiv

Bad(w) is hyperplane absolute winning

Author(s): Victor Beresnevich, Erez Nesharim, Lei Yang
Published in: arxiv (to appear in GAFA), 2020
Publisher: arxiv

Effective density for inhomogeneous quadratic forms II: fixed forms and generic shifts

Author(s): Anish Ghosh, Dubi Kelmer, Shucheng Yu
Published in: arxiv (submitted), 2020
Publisher: arxiv

On the image in the torus of sparse points on dilating analytic curves

Author(s): Michael Bersudsky
Published in: arxiv (submitted), 2020
Publisher: arxiv

A dynamical Borel-Cantelli lemma via improvements to Dirichlet's theorem

Author(s): Dmitry Kleinbock, Shucheng Yu
Published in: arxiv (submitted), 2020
Publisher: arxiv

Peer reviewed articles (8)

Quantitative Diophantine approximation with congruence conditions

Author(s): Mahbub Alam, Anish Ghosh, Shucheng Yu
Published in: Journal de Théorie des Nombres de Bordeaux, Issue 33/1, 2021, Page(s) 261-271, ISSN 2118-8572
Publisher: Jstor
DOI: 10.5802/jtnb.1161

Effective counting for discrete lattice orbits in the plane via Eisenstein series

Author(s): Claire Burrin, Amos Nevo, Rene Rühr, Barak Weiss
Published in: L’Enseignement Mathématique, Issue 66/3, 2020, Page(s) 259-304, ISSN 0013-8584
Publisher: EMS
DOI: 10.4171/lem/66-3/4-1

Badly approximable grids and k$k$‐divergent lattices

Author(s): Nikolay Moshchevitin, Anurag Rao, Uri Shapira
Published in: Mathematika, Issue 70, 2024, ISSN 0025-5793
Publisher: University College London, Department of Mathematics
DOI: 10.1112/mtk.12262

Effective Density for Inhomogeneous Quadratic Forms I: Generic Forms and Fixed Shifts

Author(s): Anish Ghosh, Dubi Kelmer, Shucheng Yu
Published in: International Mathematics Research Notices, 2020, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa206

Quantitative multiple pointwise convergence and effective multiple correlations

Author(s): René Rühr, Ronggang Shi
Published in: Journal of Differential Equations, Issue 285, 2021, Page(s) 1-16, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2021.02.057

k-divergent lattices

Author(s): Guy Lachman, Anurag Rao, Uri Shapira, Yuval Yifrach
Published in: Combinatorics and Number Theory, Issue 13, 2024, Page(s) 207-224, ISSN 2996-220X
Publisher: Nova Science Publishers
DOI: 10.2140/cnt.2024.13.207

Tori Approximation of Families of Diagonally Invariant Measures

Author(s): Omri Nisan Solan, Yuval Yifrach
Published in: Geometric and Functional Analysis, Issue 33, 2023, Page(s) 1354-1378, ISSN 1016-443X
Publisher: Birkhauser Verlag
DOI: 10.1007/s00039-023-00646-7

Metric Diophantine approximation with congruence conditions

Author(s): Erez Nesharim, René Rühr, Ronggang Shi
Published in: International Journal of Number Theory, Issue 16/09, 2020, Page(s) 1923-1933, ISSN 1793-0421
Publisher: World Scientific Publishing Co
DOI: 10.1142/s1793042120500980

Non-peer reviewed articles (3)

Linnik’s problem in fiber bundles over quadratic homogeneous varieties

Author(s): Michael Bersudsky, Uri Shapira
Published in: Monatshefte für Mathematik, Issue 201, 2023, Page(s) 575-657, ISSN 0026-9255
Publisher: Springer Verlag
DOI: 10.1007/s00605-023-01836-z

Translates of S-arithmetic periodic orbits and applications

Author(s): Uri Shapira, Cheng Zheng
Published in: Journal d'Analyse Mathématique, Issue 152, 2024, Page(s) 137-180, ISSN 0021-7670
Publisher: Magnes Press
DOI: 10.1007/s11854-023-0288-x

Translates of rational points along expanding closed horocycles on the modular surface

Author(s): Claire Burrin, Uri Shapira, Shucheng Yu
Published in: Mathematische Annalen, Issue 382, 2023, Page(s) 655-717, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-021-02267-7