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Heat content estimates over sets of finite perimeter
(2016-09)
This paper studies by means of standard analytic tools the small time behavior of the heat content over a bounded Lebesgue measurable set of finite perimeter by working with the set covariance function and by imposing ...
Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors
(2019)
We prove the existence of a Galois closure for towers of torsors under finite group schemes over a proper, geometrically connected and geometrically reduced algebraic stack X over a field k. This is done by describing the ...
The Kirillov picture for the Wigner particle
(2018-06)
We discuss the Kirillov method for massless Wigner particles, usually (mis)named "continuous spin" or "infinite spin" particles. These appear in Wigner's classification of the unitary representations of the Poincaré group, ...
Groups definable in partial differential fields with an automorphism
(2021-09-28)
In this paper we study groups definable in existentially closed partial differential fields
of characteristic 0 with an automorphism which commutes with the derivations. In particular, we study Zariski dense definable ...
Algebras of distributions suitable for phase-space quantum mechanics. III. The dual space of the algebra L_b(S)
(1989-09)
The strong dual space of the topological algebra L_b(S), where S is
the Schwartz space of smooth declining functions on R, may be obtained
as an inductive limit of projective limits of Hilbert spaces. To that
end, we ...
Dixmier traces on noncompact isospectral deformations
(2006)
We extend the isospectral deformations of Connes, Landi and Dubois-Violette to the case of Riemannian spin manifolds carrying a proper action of the noncompact abelian group R^l. Under deformation by a torus action, a ...
Riemannian manifolds in noncommutative geometry
(2012-07)
We present a definition of Riemannian manifold in noncommutative geometry. Using products of unbounded Kasparov modules, we show one can obtain such Riemannian manifolds from noncommutative spin^c manifolds; and conversely, ...
The Moyal representation of quantum mechanics and special function theory
(1990-03)
It is shown that the phase-space formulation of quantum mechanics is a rich source of special function identities. The Moyal formalism is reviewed for two phase spaces: the real plane and the sphere; and this is used to ...
Resolución de problemas matemáticos en GeoGebra
Resolução de problemas no GeoGebra
Mathematical Problem Solving in GeoGebra
(2020)
En este artículo se analizan y discuten las ventajas y oportunidades que ofrece GeoGebra durante el proceso de resolución de problemas. En particular, se analizan y documentan las formas de razonamiento matemático exhibidas ...
A Multilayer Network Model implementation for COVID-19
(2021)
We present a numerical implementation for a multilayer network to model the transmission of Covid-19 or other diseases with a similar transmission mechanism. The model incorporates different contact types between individuals ...