Results 161 to 170 of about 65,125 (273)
The Hausdorff Dimension of Graphs of Density Continuous Functions [PDF]
, 1991 Zoltán Buczolich, Krzysztof Ostaszewski
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Geometric inequalities, stability results and Kendall's problem in spherical space
Mathematika, Volume 71, Issue 4, October 2025.Abstract In Euclidean space, the asymptotic shape of large cells in various types of Poisson‐driven random tessellations has been the subject of a famous conjecture due to David Kendall. Since shape is a geometric concept and large cells are identified by means of geometric size functionals, the resolution of the conjecture is inevitably connected with
Daniel Hug, Andreas Reichenbacher
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Hausdorff dimension, orthogonal projections and intersections with planes
, 1975 Pertti Mattila
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Tightening inequalities on volume‐extremal k$k$‐ellipsoids using asymmetry measures
Mathematika, Volume 71, Issue 4, October 2025.Abstract We consider two well‐known problems: upper bounding the volume of lower dimensional ellipsoids contained in convex bodies given their John ellipsoid, and lower bounding the volume of ellipsoids containing projections of convex bodies given their Loewner ellipsoid.
René Brandenberg, Florian Grundbacher
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On Hausdorff dimension for attractors of iterated function systems [PDF]
, 1993 Qinghe Yin
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Mathematika, Volume 71, Issue 4, October 2025.Abstract Let μ$\mu$ be a probability measure on R$\mathbb {R}$. We give conditions on the Fourier transform of its density for functionals of the form H(a)=∫Rnh(⟨a,x⟩)μn(dx)$H(a)=\int _{\mathbb {R}^n}h(\langle a,x\rangle)\mu ^n(dx)$ to be Schur monotone. As applications, we put certain known and new results under the same umbrella, given by a condition
Andreas Malliaris
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Crossing estimates for the Ising model on general s‐embeddings
Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.Abstract We prove Russo–Seymour–Welsh‐type crossing estimates for the FK–Ising model on general s‐embeddings whose origami map has an asymptotic Lipschitz constant strictly smaller than 1, provided it satisfies a mild non‐degeneracy assumption. This result extends the work of Chelkak and provides a general framework to prove that the usual connection ...
Rémy Mahfouf
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The Hausdorff dimension of certain sets arising from Diophantine approximation by restricted sequences of integer vectors [PDF]
, 1992 Bryan P. Rynne
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The Hausdorff dimension of self-similar sets under a pinching condition [PDF]
, 1993 Xiao Ping Gu
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