Results 41 to 50 of about 14,956 (174)
A classification of infinite staircases for Hirzebruch surfaces
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract The ellipsoid embedding function of a symplectic manifold gives the smallest amount by which the symplectic form must be scaled in order for a standard ellipsoid of the given eccentricity to embed symplectically into the manifold. It was first computed for the standard four‐ball (or equivalently, the complex projective plane) by McDuff and ...
Nicki Magill +2 more
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On Sequences With Exponentially Distributed Gaps
Random Structures &Algorithms, Volume 66, Issue 1, January 2025.ABSTRACT It is well known that a sequence (xn)n∈ℕ⊆[0,1]$$ {\left({x}_n\right)}_{n\in \mathbb{N}}\subseteq \left[0,1\right] $$ which has Poissonian correlations of all orders necessarily has exponentially distributed nearest‐neighbor gaps. It is natural to ask whether this implication also holds in the other direction, that is, whether a sequence with ...
Christoph Aistleitner +2 more
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Random walks on the circle and Diophantine approximation. [PDF]
J Lond Math Soc, 2023 Berkes I, Borda B.
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Counting Real Roots in Polynomial-Time via Diophantine Approximation. [PDF]
Found Comut Math, 2022 Rojas JM.
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On Inhomogeneous Diophantine Approximation
Journal of Number Theory, 1994 Let \(\alpha\) and \(\beta\) be irrational numbers, \(\beta\) not of the form \(m\alpha+ n\) (\(m\), \(n\) integers) and define \[ M(\alpha, \beta)= \liminf \{| q|\;\| q\alpha- \beta\|:\;| q|\to \infty\} \] to be the inhomogeneous approximation constant for the pair \(\alpha\), \(\beta\).
Cusick, T.W., Rockett, A.M., Szusz, P.
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, 2003 We collect a number of open questions concerning Diophantine equations, Diophantine Approximation and transcendental numbers. Revised version: corrected typos and added references.Comment: 58 pages. to appear in the Moscow Mathematical Journal vo. 4 N.1
Waldschmidt, Michel
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Best simultaneous Diophantine approximations for some pairs of algebraic numbers [PDF]
, 2018 Gustavo Antonio Pavani
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The approximate functional equation of some Diophantine series. [PDF]
Mon Hefte Math, 2023 Chamizo F, Martin B.
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Metric Diophantine approximation on homogeneous varieties [PDF]
, 2014 Anish Ghosh +2 more
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