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Hyperbolic groups with few linear representations
(Pontificia Universidad Católica del Perú, 2022)
A nonlocal diffusion problem on manifolds
(Taylor & Francis, 2018-04)
In this paper we study a nonlocal diffusion problem on a manifold. These kinds of equations can model diffusions when there are long range effects and have been widely studied in Euclidean space. We first prove existence ...
Diffusive limit to a selection-mutation equation with small mutation formulated on the space of measures
(American Institute of Mathematical Sciences, 2021-03)
In this paper we consider a selection-mutation model with an advection term formulated on the space of finite signed measures on Rd. The selection-mutation kernel is described by a family of measures which allows the study ...
The existence of smooth solutions in q-models
(Springer/Plenum Publishers, 2019-02)
The q-models are scenarios that may explain the smallness of the cosmological constant [1]-[7]. The vacuum in these theories is presented as a self-sustainable medium and include a new degree of freedom, the q-variable, ...
Matrix valued spherical functions associated to the three dimensional hyperbolic space
(World Scientific, 2002-09)
The main purpose of this paper is to compute all irreducible spherical functions on G = SL(2, ℂ) of arbitrary type δ ∈ K̂, where K = SU(2). This is accomplished by associating to a spherical function Φ on G a matrix valued ...
Multiple-layer solutions to the allen-cahn equation on hyperbolic spacePROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETYPROC AM MATH SOC
(AMERICAN MATHEMATICAL SOCIETY, 2016)
Hyperbolization of cocycles by isometries of the euclidean spaceERGODIC THEORY AND DYNAMICAL SYSTEMS (PRINT)ERGOD THEORY DYN SYST (PRINT)
(CAMBRIDGE UNIVERSITY PRESS, 2014)
A second eigenvalue bound for the dirichlet laplacian in hyperbolic spaceDUKE MATHEMATICAL JOURNALDUKE MATHE J
(DUKE UNIVERSITY PRESS, 2017)