Results 111 to 120 of about 65,125 (273)
A fractal local smoothing problem for the wave equation
Bulletin of the London Mathematical Society, EarlyView.Abstract For any given set E⊂[1,2]$E\subset [1,2]$, we discuss a fractal frequency‐localized version of the Lp$L^p$ local smoothing estimates for the half‐wave propagator with times in E$E$. A conjecture is formulated in terms of a quantity involving the Assouad spectrum of E$E$ and the Legendre transform.
David Beltran +3 more
wiley +1 more source
Calculation of Hausdorff dimensions of basins of ergodic measures in encoding spaces
Журнал Белорусского государственного университета: Математика, информатика, 2018 In the article we consider spaces XN of sequences of elements of finite alphabet X (encoding spaces) and ergodic measures on them, basins of ergodic measures and Hausdorff dimensions of such basins with respect to ultrametrics defined by a product of ...
Pavel N. Varabei
doaj
Hausdorff dimension of collision times in one-dimensional log-gases
AIP AdvancesWe consider systems of multiple Brownian particles in one dimension that repel mutually via a logarithmic potential on the real line, more specifically the Dyson model.
Nicole Hufnagel, Sergio Andraus
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Projections of measures with small supports
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021 In this paper, we use a characterization of the mutual multifractal Hausdorff dimension in terms of auxiliary measures to investigate the projections of measures with small supports.
Bilel Selmi
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The Hausdorff-Beiscovich dimension of the level sets of Perron’s modular function [PDF]
, 1966 John R. Kinney, T. S. Pitcher
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Is every product system concrete?
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract Is every product system of Hilbert spaces over a semigroup P$P$ concrete, that is, isomorphic to the product system of an E0$E_0$‐semigroup over P$P$? The answer is no if P$P$ is discrete, cancellative and does not embed in a group. However, we show that the answer is yes for a reasonable class of semigroups.
S. Sundar
wiley +1 more source
Finite (Hausdorff) dimension of plants and roots as indicator of ontogeny
Revista de la Facultad de Ciencias Agrarias, 2019 The architecture of plants responds to endogenous processes and to the influence of environmental factors. The allometric study of architecture has been a challenge for biology. We define a new finite (Hausdorff) dimension of plants, that considers both
Juan M. Alonso +3 more
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On the Hausdorff dimension of circular Furstenberg sets
Discrete AnalysisOn the Hausdorff dimension of circular Furstenberg sets, Discrete Analysis 2024:18, 83 pp. In the late 1990s, Wolff proved the following result. Suppose that the set $E\subset \mathbb R^2$ contains circles centered at all points of a Borel set with ...
Katrin Fässler +2 more
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Heisenberg Hausdorff Dimensionof Besicovitch Sets
Analysis and Geometry in Metric Spaces, 2014 We consider (bounded) Besicovitch sets in the Heisenberg group and prove that Lp estimates forthe Kakeya maximal function imply lower bounds for their Heisenberg Hausdorff dimension.
Venieri Laura
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Hausdorff Dimension and Gaussian Fields
The Annals of Probability, 1977 Let $X(t)$ be a Gaussian process taking values in $R^d$ and with its parameter in $R^N$. Then if $X_j$ has stationary increments and the function $\sigma^2(t) = E\{|X_j(s + t) - X_j(s)|^2\}$ behaves like $|t|^{2\alpha}$ as $|t| \downarrow 0, 0 < \alpha < 1$, the graph of $X$ has Hausdorff dimension $\min \{N/\alpha, N + d(1 - \alpha)\}$ with ...
openaire +3 more sources