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Symmetry and compact embeddings for critical exponents in metric-measure spaces
(Academic Press Inc., 2020-11)
We obtain a compact Sobolev embedding for H-invariant functions in compact metric-measure spaces, where H is a subgroup of the measure preserving bijections. In Riemannian manifolds, H is a subgroup of the volume preserving ...
Homogeneous manifolds from noncommutative measure spaces
(Academic Press Inc Elsevier Science, 2010-05)
Let M be a finite von Neumann algebra with a faithful trace τ. In this paper we study metric geometry of homogeneous spaces O of the unitary group U of M, endowed with a Finsler quotient metric induced by the p-norms of ...
Approximation of solutions of fractional diffusions in compact metric measure spaces
(Birkhauser Verlag Ag, 2017-12)
In this note we prove that the solutions to diffusions associated with fractional powers of the Laplacian in compact metric measure spaces can be obtained as limits of the solutions to particular rescalings of some non-local ...
Discrete approximation of spaces of homogeneous type
(Springer, 2009-01)
In this note we combine the dyadic families introduced by M. Christ in (Colloq. Math. 60/61(2):601-628, 1990) and the discrete partitions introduced by J.M. Wu in (Proc. Am. Math. Soc. 126(5):1453-1459, 1998) to get ...
Gradual doubling property of Hutchinson orbits
(Springer Heidelberg, 2015-11)
The classical self-similar fractals can be obtained as xed points of the iteration technique introduced by Hutchinson. The well known results of Mosco show that typically the limit fractal equipped with the invariant measure ...
Linear functionals and local measures: a version of the riesz representation theorem in the context of metric spaces
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 1974)
The classical version of the Riesz Representation Theorem is proved in the context of localIy compact Hausdorff spaces and the local compactness plays an essential role ([1]). This means, for ins tance, that the theorem ...
Polychromatic image fusion algorithm and fusion metric for automatized microscopes
(2012-06-19)
Abstract. We propose a new algorithm to determine the multifocus image
fusion from several polychromatic images captured from the best
focusing region where the best in focus image is included from a biological
sample. ...
Effective proximity retrieval by ordering permutations
(IEEE COMPUTER SOC, 2008-09)
We introduce a new probabilistic proximity search algorithm for range and K-nearest neighbor (K-NN) searching in both coordinate and metric spaces. Although there exist solutions for these problems, they boil down to a ...
Parabolic flow on metric measure spaces
(SPRINGER, 2014)