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New horizons in homogeneous dynamics and its applications

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

Winning property of badly approximable points on curves

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

Linnik's problem in fiber bundles over quadratic homogeneous varieties

Author(s): Michael Bersudsky, Uri Shapira
Published in: arxiv (submitted), 2021
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

Translates of S-arithmetic orbits and applications

Author(s): Uri Shapira, Cheng Zheng
Published in: arxiv (submitted), 2021
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

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

Author(s): Claire Burrin, Uri Shapira, Shucheng Yu
Published in: arxiv (submitted), 2021
Publisher: arxiv

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

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

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

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