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Dimension functions of Cantor sets
(American Mathematical Society, 2007-10)
We estimate the packing measure of Cantor sets associated to nonincreasing sequences through their decay. This result, dual to one obtained by Besicovitch and Taylor, allows us to characterize the dimension functions ...
The ϕ-Dimension: A new homological measure
(Algebras and Representation Theory, 2019)
Field-theory Two-point Functions via Negative Dimension Integration
(Korean Physical Soc, 2012-03-01)
One-loop two-point functions play an important role in quantum field theories, being one of the primary divergent Feynman graphs that calls for regularization and renormalization procedures. These well-known functions are ...
Field-theory Two-point Functions via Negative Dimension Integration
(Korean Physical Soc, 2012-03-01)
One-loop two-point functions play an important role in quantum field theories, being one of the primary divergent Feynman graphs that calls for regularization and renormalization procedures. These well-known functions are ...
Field-theory Two-point Functions via Negative Dimension Integration
(Korean Physical Soc, 2014)
Mean dimension and an embedding theorem for real flows
(Institute of Mathematics of the Polish Academy of Sciences (IMPAN), 2020)
We develop mean dimension theory for R-flows. We obtain fundamental properties and examples and prove an embedding theorem: Any real flow (X, R) of mean dimension strictly less than r admits an extension (Y, R) whose mean ...
Improving dimension estimates for Furstenberg-type sets
(Academic Press Inc Elsevier Science, 2010-01)
In this paper we study the problem of estimating the generalized Hausdorff dimension of Furstenberg sets in the plane. For α ∈ (0, 1], a set F in the plane is said to be an α-Furstenberg set if for each direction e there ...
Occlusal vertical dimension. Review articleDimensión vertical oclusal
(Universidad Nacional Mayor de San Marcos, Facultad de Odontología, 2016)
Conformally invariant differential operators and bilinear functionals in six dimensionsConformally invariant differential operators and bilinear functionals in six dimensions
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2008)
Bellman functions and dimension free L p -estimates for the Riesz transforms in Bessel settings
(Pergamon-Elsevier Science Ltd, 2020-08)
In this article we prove dimension free $L^p$?boundedness of Riesz transforms associated with a Bessel differential operator. We obtain explicit estimates of the $L^p$?norms for the Bessel?Riesz transforms in terms of $p$, ...