306 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universidade do PortoPT174 papers
- University of CoimbraPT98 papers
- University of MinhoPT81 papers
- University of LisbonPT24 papers
- Centre National de la Recherche ScientifiqueFR22 papers
- Instituto Superior TécnicoPT22 papers
- UCLouvainBE13 papers
- Universidade Federal da BahiaBR13 papers
- Centro de Análise Matemática Geometria e Sistemas DinâmicosPT10 papers
- Pontifícia Universidade Católica do Rio de JaneiroBR10 papers
- Universidad de La LagunaES9 papers
- Universidade Federal do Rio de JaneiroBR9 papers
15 papers · 1 filter
Dissecting a resonance wedge on heteroclinic bifurcations
Alexandre A. P. Rodrigues
This article studies routes to chaos occurring within a resonance wedge for a 3-parametric family of differential equations acting on a 3-sphere. Our starting point is an autonomou…
Principal bundles on 2-dimensional CW-complexes with disconnected structure group
André Oliveira
Given any topological group , the topological classification of principal -bundles over a finite CW-complex is long-known to be given by the set of free homotopy classes…
Higher dimensional black hole scalarization
Dumitru Astefanesei, Carlos Herdeiro, João Oliveira +1
In the simplest scalar-tensor theories, wherein the scalar field is non-minimally coupled to the Ricci scalar, spontaneous scalarization of electrovacuum black holes (BHs) does not…
Holonomy theorem for finite semigroups
John Rhodes, Anne Schilling, Pedro V. Silva
We provide a simple proof of the Holonomy Theorem using a new Lyndon-Chiswell length function on the Karnofsky-Rhodes expansion of a semigroup. Unexpectedly, we have both a left an…
Stratifications on the Nilpotent Cone of the moduli space of Hitchin pairs
Peter B. Gothen, Ronald A. Zúñiga-Rojas
We consider the problem of finding the limit at infinity (corresponding to the downward Morse flow) of a Higgs bundle in the nilpotent cone under the natural -action…
Thermodynamic formalism for random non-uniformly expanding maps
Manuel Stadlbauer, Shintaro Suzuki, Paulo Varandas
We develop a quenched thermodynamic formalism for a wide class of random maps with non-uniform expansion, where no Markov structure, no uniformly bounded degree or the existence of…
The spectrum of a localic semiring
Graham Manuell
A number of spectrum constructions have been devised to extract topological spaces from algebraic data. Prominent examples include the Zariski spectrum of a commutative ring, the S…
Stability of the Cauchy horizon in accelerating black-hole spacetimes
Kyriakos Destounis, Rodrigo D. B. Fontana, Filipe C. Mena
The extendibility of spacetime and the existence of weak solutions to the Einstein field equations beyond Cauchy horizons, is a crucial ingredient to examine the limits of General…
Torus-breakdown near a Bykov attractor: a case study
Luísa Castro, Alexandre A. P. Rodrigues
There are few explicit examples in the literature of vector fields exhibiting complex dynamics that may be proved analytically. This paper reports numerical experiments performed f…
Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras
Helena Albuquerque, Elisabete Barreiro, Saïd Benayadi +2
Oscillator Lie algebras are the only non commutative solvable Lie algebras which carry a bi-invariant Lorentzian metric. In this paper, we determine all the Poisson structures, and…
Leibniz superalgebras with a set grading
Helena Albuquerque, Elisabete Barreiro, Antonio J. Calderón +1
Consider a Leibniz superalgebra additionally graded by an arbitrary set (set grading). We show that decomposes as the sum of well-described graded i…
Curvature-adapted submanifolds of semi-Riemannian groups
Margarida Camarinha, Matteo Raffaelli
We study semi-Riemannian submanifolds of arbitrary codimension in a Lie group equipped with a bi-invariant metric. In particular, we show that, if the normal bundle of $M \subs…
On infinite variants of De Morgan law in locale theory
Igor Arrieta
A locale, being a complete Heyting algebra, satisfies De Morgan law for pseudocomplements. The dual De Morgan law (here r…
Classification of Networks with Asymmetric Inputs
Manuela Aguiar, Ana Dias, Pedro Soares
Coupled cell systems associated with a coupled cell network are determined by (smooth) vector fields that are consistent with the network structure. Here, we follow the formalisms…
Linear competition processes and generalized Polya urns with removals
Serguei Popov, Vadim Shcherbakov, Stanislav Volkov
A competition process is a continuous time Markov chain that can be interpreted as a system of interacting birth-and-death processes, the components of which evolve subject to a co…