121 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of LisbonPT135 papers
- Instituto Superior TécnicoPT23 papers
- Universidade Lusófona de Humanidades e TecnologiasPT23 papers
- Iscte – Instituto Universitário de LisboaPT8 papers
- Mathematical Institute of the Serbian Academy of Sciences and Arts7 papers
- Serbian Academy of Sciences and ArtsRS7 papers
- Universidad Complutense de MadridES7 papers
- Universidade LusófonaPT7 papers
- Universidade Técnica de LisboaPT7 papers
- University of AlgarvePT7 papers
- Instituto de Plasmas e Fusão NuclearPT6 papers
- Scuola Internazionale Superiore di Studi AvanzatiIT5 papers
15 papers · 1 filter
On Pleijel's nodal domain theorem for quantum graphs
Matthias Hofmann, James B. Kennedy, Delio Mugnolo +1
We establish metric graph counterparts of Pleijel's theorem on the asymptotics of the number of nodal domains of the -th eigenfunction(s) of a broad class of operators on…
Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels
Leonardo Santilli, Miguel Tierz
We show that the Riemannian Gaussian distributions on symmetric spaces, introduced in recent years, are of standard random matrix type. We exploit this to compute analytically marg…
Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials
Giordano Cotti
In the first part of this paper, we give a new analytical proof of a theorem of C. Sabbah on integrable deformations of meromorphic connections on with coalescing irr…
Counting monster potentials
Riccardo Conti, Davide Masoero
We study the large momentum limit of the monster potentials of Bazhanov-Lukyanov-Zamolodchikov, which -- according to the ODE/IM correspondence -- should correspond to excited stat…
-deformation of -Yang-Mills theory
Leonardo Santilli, Richard J. Szabo, Miguel Tierz
We derive the -perturbed version of two-dimensional -deformed Yang-Mills theory on an arbitrary Riemann surface by coupling the unperturbed theory in the first or…
Geometry of random potentials: Induction of 2D gravity in Quantum Hall plateau transitions
Riccardo Conti, Hrant Topchyan, Roberto Tateo +1
In the context of the Integer Quantum Hall plateau transitions, we formulate a specific map from random landscape potentials onto 2D discrete random surfaces. Critical points of th…
Standard Model and 4-groups
Aleksandar Mikovic, Marko Vojinovic
We show that a categorical generalization of the the Poincaré symmetry which is based on the n-crossed modules becomes natural and simple when n=3 and that the corresponding 3-form…
Exact results and Schur expansions in quiver Chern-Simons-matter theories
Leonardo Santilli, Miguel Tierz
We study several quiver Chern-Simons-matter theories on the three-sphere, combining the matrix model formulation with a systematic use of Mordell's integral, computing partition fu…
Multiple phases in a generalized Gross-Witten-Wadia matrix model
Jorge G. Russo, Miguel Tierz
We study a unitary matrix model of the Gross-Witten-Wadia type, extended with the addition of characteristic polynomial insertions. The model interpolates between solvable unitary…
Bound states in semi-Dirac semi-metals
David Krejcirik, Pedro. R. S. Antunes
New insights into transport properties of nanostructures with a linear dispersion along one direction and a quadratic dispersion along another are obtained by analysing their spect…
Standing wave solutions in Born-Infeld theory
Nenad Manojlovic, Volker Perlick, Robertus Potting
We study standing-wave solutions of Born-Infeld electrodynamics, with nonzero electromagnetic field in a region between two parallel conducting plates. We consider the simplest cas…
A variational formulation for Dirac operators in bounded domains. Applications to spectral geometric inequalities
Pedro R. S. Antunes, Rafael D. Benguria, Vladimir Lotoreichik +1
We investigate spectral features of the Dirac operator with infinite mass boundary conditions in a smooth bounded domain of . Motivated by spectral geometric inequali…
Exact equivalences and phase discrepancies between random matrix ensembles
Leonardo Santilli, Miguel Tierz
We study two types of random matrix ensembles that emerge when considering the same probability measure on partitions. One is the Meixner ensemble with a hard wall and the other ar…
Five-dimensional cohomological localization and squashed -deformations of two-dimensional Yang-Mills theory
Leonardo Santilli, Richard J. Szabo, Miguel Tierz
We revisit the duality between five-dimensional supersymmetric gauge theories and deformations of two-dimensional Yang-Mills theory from a new perspective. We give a unified treatm…
Ordinary differential equations with singular coefficients: an intrinsic formulation with applications to the Euler-Bernoulli beam equation
Nuno Costa Dias, Cristina Jorge, Joao Nuno Prata
We study a class of linear ordinary differential equations (ODE)s with distributional coefficients. These equations are defined using an {\it intrinsic} multiplicative product of S…