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
12 papers · 1 filter
Billiard algebra, integrable line congruences, and double reflection nets
Vladimir Dragovic, Milena Radnovic
The billiard systems within quadrics, playing the role of discrete analogues of geodesics on ellipsoids, are incorporated into the theory of integrable quad-graphs. An initial obse…
On the Cases of Kirchhoff and Chaplygin of the Kirchhoff Equations
Vladimir Dragovic, Borislav Gajic
It is proven that the general Kirchhoff case of the Kirchhoff equations for is not algebraic complete integrable system. Similar analytic behavior of the general solution…
Effective action for EPRL/FK spin foam models
Aleksandar Mikovic, Marko Vojinovic
We show that a natural modification of the EPRL/FK vertex amplitude gives a finite spin foam model whose effective action gives the Einstein-Hilbert action in the limit of large sp…
Poincare 2-group and quantum gravity
Aleksandar Mikovic, Marko Vojinovic
We show that General Relativity can be formulated as a constrained topological theory for flat 2-connections associated to the Poincaré 2-group. Matter can be consistently coupled…
New Examples of Systems of the Kowalevski Type
Vladimir Dragović, Katarina Kukić
A new examples of integrable dynamical systems are constructed. An integration procedure leading to genus two theta-functions is presented. It is based on a recent notion of discri…
Ellipsoidal billiards in pseudo-Euclidean spaces and relativistic quadrics
Vladimir Dragovic, Milena Radnovic
We study geometry of confocal quadrics in pseudo-Euclidean spaces of an arbitrary dimension and any signature, and related billiard dynamics. The goal is to give a complete des…
Semiclassical limit for generalized KdV equations before the gradient catastrophe
Davide Masoero, Andrea Raimondo
We study the semiclassical limit of the (generalised) KdV equation, for initial data with Sobolev regularity, before the time of the gradient catastrophe of the limit conservation…
Categorifying the Knizhnik-Zamolodchikov Connection
Lucio S. Cirio, João Faria Martins
In the context of higher gauge theory, we construct a flat and fake flat 2-connection, in the configuration space of particles in the complex plane, categorifying the Knizhnik-…
Effective action and semiclassical limit of spin foam models
A. Mikovic, M. Vojinovic
We define an effective action for spin foam models of quantum gravity by adapting the background field method from quantum field theory. We show that the Regge action is the leadin…
Unitary Chern-Simons matrix model and the Villain lattice action
Mauricio Romo, Miguel Tierz
We use the Villain approximation to show that the Gross-Witten model, in the weak- and strong-coupling limits, is related to the unitary matrix model that describes U(N) Chern-Simo…
Two-dimensional Yang-Mills theory, Painleve equations and the six-vertex model
Richard J. Szabo, Miguel Tierz
We show that the chiral partition function of two-dimensional Yang-Mills theory on the sphere can be mapped to the partition function of the homogeneous six-vertex model with domai…
A finiteness bound for the EPRL/FK spin foam model
Aleksandar Mikovic, Marko Vojinovic
We show that the EPRL/FK spin foam model of quantum gravity has an absolutely convergent partition function if the vertex amplitude is divided by an appropriate power of the pr…