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Artículo
Diversities, hyperconvexity and fixed points
(Elsevier, 2014-01)
Diversities have been recently introduced as a generalization of metrics for which a rich tight span theory could be stated. In this work we take up a number of questions about hyperconvexity, diversities and fixed points ...
Artículo
On the global existence for the Muskat problem
(European Mathematical Society, 2013)
The Muskat problem models the dynamics of the interface between two incompressible immiscible fluids with different constant densities. In this work we prove three results. First we prove an $L^2(\R)$ maximum principle, ...
Artículo
Comment on “Ratchet universality in the presence of thermal noise”
(2013)
A recent paper [P. J. Martínez and R. Chacón, Phys. Rev. E 87, 062114 (2013)] presents numerical simulations on a system exhibiting directed ratchet transport of a driven overdamped Brownian particle subjected to a spatially ...
Artículo
Uniqueness for SQG patch solutions
(American Mathematical Society, 2018-01)
This paper is about the evolution of a temperature front governed by the surface quasi-geostrophic equation. The existence part of that program within the scale of Sobolev spaces was obtained by the third author (2008). ...
Artículo
Algebraic structure of continuous, unbounded and integrable functions
(Elsevier, 2019-02)
In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions in [0, +∞) and of the family of sequences of these functions converging to zero uniformly on ...
Artículo
Generalized surface quasi-geostrophic equations with singular velocities
(Wiley, 2012)
This paper establishes several existence and uniqueness results for two families of active scalar equations with velocity fields determined by the scalars through very singular integrals. The first family is a generalized ...
Ponencia
Applications of convex analysis within mathematics
(2016)
This talk is based on the paper: Aragón, Borwein, Martín-Márquez, Yao Applications of convex analysis within mathematics, Math. Program., Ser B, December 2014, Volume 148, Issue 1, pp 49-88. in a special issue to celebrate ...
Artículo
Counting tuples restricted by pairwise coprimality conditions
(University of Waterloo, 2015)
Given a subset A of the set {1, . . . , v}2 we say that (a1, . . . , av) exhibits pairwise coprimality over A if gcd(ai, aj ) = 1 for all (i, j) ∈ A. For a given positive x and a given set A we give an asymptotic formula ...
Artículo
Families of strongly annular functions: linear structure
(Springer, 2013-01)
A function f holomorphic in the unit disk D is called strongly annular if there exists a sequence of concentric circles in D expanding out to the unit circle such that f goes to infinity as |z| goes to 1 through these ...
Ponencia