On connectedness in the parametric geometry of numbers

DOI10.2140/CNT.2024.13.299MaRDI QIDQ6631405

Han Zhang, Yuming Wei

Publication date: 1 November 2024

Published in: Combinatorics and Number Theory (Search for Journal in Brave)

zbMATH Keywords

connectednessgeometry of numberspencils

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Simultaneous homogeneous approximation, linear forms (11J13) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Cites Work

• Spectrum of the exponents of best rational approximation
• On Schmidt and Summerer parametric geometry of numbers
• On Diophantine exponents and Khintchine's transference principle
• Generalized simultaneous approximation to \(m\) linearly dependent reals
• Exponents for three-dimensional simultaneous Diophantine approximations
• On parametric geometry of numbers
• Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.

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