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
14 papers · 1 filter
Automorphic orbits in free groups: words versus subgroups
Pedro Silva, Pascal Weil
We show that the following problems are decidable in a rank 2 free group F_2: does a given finitely generated subgroup H contain primitive elements? and does H meet the orbit of a…
Higgs bundles and surface group representations in the real symplectic group
Oscar Garcia-Prada, Peter B. Gothen, Ignasi Mundet i Riera
In this paper we study the moduli space of representations of a surface group (i.e., the fundamental group of a closed oriented surface) in the real symplectic group Sp(2n,R). The…
On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding
Mostafa Bendahmane, Raimund Brger, Ricardo Ruiz Baier +1
This paper addresses the existence and regularity of weak solutions for a fully parabolic model of chemotaxis, with prevention of overcrowding, that degenerates in a two-sided fash…
On finite-index extensions of subgroups of free groups
Pedro Silva, Pascal Weil
We study the lattice of finite-index extensions of a given finitely generated subgroup of a free group . This lattice is finite and we give a combinatorial characterization…
Toric Kähler metrics seen from infinity, quantization and compact tropical amoebas
Thomas Baier, Carlos Florentino, José M. Mourão +1
We consider the metric space of all toric Kähler metrics on a compact toric manifold; when "looking at it from infinity" (following Gromov), we obtain the tangent cone at infinity,…
Dynamical estimates of chaotic systems from Poincaré recurrences
Murilo S. Baptista, Dariel M. Maranhao, Jose C. Sartorelli
We show that the probability distribution function that best fits the distribution of return times between two consecutive visits of a chaotic trajectory to finite size regions in…
Invariant measures for interval maps with critical points and singularities
Vitor Araujo, Stefano Luzzatto, Marcelo Viana
We prove that, under a mild summability condition on the growth of the derivative on critical orbits any piecewise monotone interval map possibly containing discontinuities and sin…
Lorenz-like chaotic attractors revised
Vitor Araujo, Maria Jose Pacifico
We describe some recent results on the dynamics of singular-hyperbolic (or Lorenz-like) attractors: attractors in this class are expansive and so sensitive with respect to initial…
Optimal network topologies for information transmission in active networks
M. S. Baptista, J. X. de Carvalho, M. S. Hussein
This work clarifies the relation between network circuit (topology) and behavior (information transmission and synchronization) in active networks, e.g. neural networks. As an appl…
Hitting Time Statistics and Extreme Value Theory
Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Mike Todd
We consider discrete time dynamical systems and show the link between Hitting Time Statistics (the distribution of the first time points land in asymptotically small sets) and Extr…
Spin Foam Perturbation Theory for Three-Dimensional Quantum Gravity
Joao Faria Martins, Aleksandar Mikovic
We formulate the spin foam perturbation theory for three-dimensional Euclidean Quantum Gravity with a cosmological constant. We analyse the perturbative expansion of the partition…
The Fundamental Crossed Module of the Complement of a Knotted Surface
João Faria Martins
We prove that if is a CW-complex and is its 1-skeleton then the crossed module depends only on the homotopy type of as a space, up to free products, in t…
Hamiltonian elliptic dynamics on symplectic 4-manifolds
Mario Bessa, Joao Lopes Dias
We consider C2 Hamiltonian functions on compact 4-dimensional symplectic manifolds to study elliptic dynamics of the Hamiltonian flow, namely the so-called Newhouse dichotomy. We s…
Higher-order string effective actions and off-shell d=4 supergravity
Filipe Moura
We start by a concise yet thorough revision of four-dimensional superspace supergravity. We present curved superspace geometry, for arbitrary N, including torsion, curvature and Bi…