A variational principle in the parametric geometry of numbers
DOI10.1016/j.aim.2023.109435arXiv1901.06602OpenAlexW2914698183MaRDI QIDQ6184562
Tushar Das, Lior Fishman, David Simmons, Mariusz Urbański
Publication date: 25 January 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.06602
Diophantine approximationtopological gamesfractal geometryhomogeneous dynamicsHausdorff and packing dimensionsuccessive Minima and lattices
2-person games (91A05) Games involving topology, set theory, or logic (91A44) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Simultaneous homogeneous approximation, linear forms (11J13) Hausdorff and packing measures (28A78) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) General groups of measure-preserving transformations and dynamical systems (37A15) Homogeneous flows (37A17)
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