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
145 papers
Borel -multitransforms and Quantum Leray-Hirsch: integral representations of solutions of quantum differential equations for -bundles
Giordano Cotti
In this paper, we address the integration problem of the isomonodromic system of quantum differential equations (s) associated with the quantum cohomology of -bun…
Dynamical quantum phase transitions from random matrix theory
David Pérez-García, Leonardo Santilli, Miguel Tierz
We uncover a novel dynamical quantum phase transition, using random matrix theory and its associated notion of planar limit. We study it for the isotropic XY Heisenberg spin chain.…
Impediments to diffusion in quantum graphs: geometry-based upper bounds on the spectral gap
Gregory Berkolaiko, James B. Kennedy, Pavel Kurasov +1
We derive several upper bounds on the spectral gap of the Laplacian with standard or Dirichlet vertex conditions on compact metric graphs. In particular, we obtain estimates based…
Families of non-tiling domains satisfying Pólya's conjecture
Pedro Freitas, Isabel Salavessa
We show the existence of classes of non-tiling domains satisfying Pólya's conjecture in any dimension, in both the Euclidean and non-Euclidean cases. This is a consequence of a mor…
On solutions of the Bethe Ansatz for the Quantum KdV model
Riccardo Conti, Davide Masoero
We study the Bethe Ansatz Equations for the Quantum KdV model, which are also known to be solved by the spectral determinants of a specific family of anharmonic oscillators called…
On the universality of integrable deformations of solutions of degenerate Riemann-Hilbert-Birkhoff problems
Giordano Cotti
This paper addresses the classification problem of integrable deformations of solutions of "degenerate" Riemann-Hilbert-Birkhoff (RHB) problems. These consist of those RHB problems…
Boundaries and profiles in the Wigner formalism
Nuno Costa Dias, João Nuno Prata
We consider a quantum device contained in an interval in the context of the Weyl-Wigner formalism. This approach was originally suggested by Frensley, and is known to be plagued wi…
Crystal bases and three-dimensional Coulomb branches
Leonardo Santilli, Miguel Tierz
We establish and develop a correspondence between certain crystal bases (Kashiwara crystals) and the Coulomb branch of three-dimensional gauge theories. The resu…
Phases of five-dimensional supersymmetric gauge theories
Leonardo Santilli
Five-dimensional theories with gauge group , , and are studied at large rank through localization on a large sphere. The phase diagra…
Self-dual cosmological Bianchi IX and VIII metrics
A. Mikovic, N. Manojlovic
We show that self-dual Bianchi IX and VIII cosmological models are described by the Nahm dynamical system for an appropriate type of matrices. We construct the general solutions in…
Multiple phases and meromorphic deformations of unitary matrix models
Leonardo Santilli, Miguel Tierz
We study a unitary matrix model with Gross-Witten-Wadia weight function and determinant insertions. After some exact evaluations, we characterize the intricate phase diagram. There…
Higgs fields, non-abelian Cauchy kernels and the Goldman symplectic structure
Marco Bertola, Chaya Norton, Giulio Ruzza
We consider the moduli space of vector bundles of rank and degree over a fixed Riemann surface of genus . We use the explicit parametrization in terms of the Tyur…
Interlacing and Friedlander-type inequalities for spectral minimal partitions of metric graphs
Matthias Hofmann, James B. Kennedy
We prove interlacing inequalities between spectral minimal energies of metric graphs built on Dirichlet and standard Laplacian eigenvalues, as recently introduced in [Kennedy et al…
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…