The dimension of well approximable numbers
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this survey article, we explore a central theme in Diophantine approximation inspired by a celebrated result of Besicovitch on the Hausdorff dimension of well approximable real numbers. We outline some of the key developments stemming from Besicovitch's result, with a focus on the mass transference principle, ubiquity and Diophantine ...
Victor Beresnevich, Sanju Velani
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Strip Adjustment of Airborne LiDAR Data in Urban Scenes Using Planar Features by the Minimum Hausdorff Distance. [PDF]
Sensors (Basel), 2019 Liu K, Ma H, Zhang L, Cai Z, Ma H.
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Gromov's Compactness Theorem for the Intrinsic Timed-Hausdorff Distance [PDF]
Maolin Che +2 more
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From pathological to paradigmatic: A retrospective on Eremenko and Lyubich's entire functions
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract This paper surveys the impact of Eremenko and Lyubich's paper “Examples of entire functions with pathological dynamics”, published in 1987 in the Journal of the London Mathematical Society. Through a clever extension and use of classical approximation theorems, the authors constructed examples exhibiting behaviours previously unseen in ...
Núria Fagella, Leticia Pardo‐Simón
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Gromov-Hausdorff distances between quotient metric spaces [PDF]
Henry Adams +9 more
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Solution to Generalized Borsuk Problem in Terms of the Gromov-Hausdorff\n Distances to Simplexes [PDF]
, 2019 Alexander Ivanov, Alexei Tuzhilin
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The scalar T1 theorem for pairs of doubling measures fails for Riesz transforms when p not 2
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that for an individual Riesz transform in the setting of doubling measures, the scalar T1$T1$ theorem fails when p≠2$p \ne 2$: for each p∈(1,∞)∖{2}$ p \in (1, \infty) \setminus \lbrace 2\rbrace$, we construct a pair of doubling measures (σ,ω)$(\sigma, \omega)$ on R2$\mathbb {R}^2$ with doubling constant close to that of Lebesgue ...
Michel Alexis +3 more
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Validation of parametric mesh generation for subject-specific cerebroarterial trees using modified Hausdorff distance metrics. [PDF]
Comput Biol Med, 2018 Ghaffari M +6 more
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Hausdorff distance between ultrametric balls
Ukrainian Mathematical BulletinLet \((X, d)\) be an ultrametric space, and let \(d_H\) be the Hausdorff distance on the set \(\bar{\BB}_X\) of all closed balls in \((X, d)\). Some interconnections between the properties of the spaces \((X, d)\) and \((\bar{\BB}_X, d_H)\) are described. It has been established that the space \((\bar{\BB}_X, d_H)\) has such properties as discreteness,
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