Reports de recerca
Recent Submissions
-
State-of-art products for real time scintillation monitoring and consolidated requirements for the activity
(2022-12-15)
Research report
Restricted access - confidentiality agreement -
On some rational piecewise linear rotations
(2023-06-30)
Research report
Open AccessWe study the dynamics of the piecewise planar rotations $F_{\lambda}(z)=\lambda (z-H(z)), $ with $z\in\C$, $H(z)=1$ if $\mathrm{Im}(z)\ge0,$ $H(z)=-1$ if $\mathrm{Im}(z)<0,$ and $\lambda=\mathrm{e}^{i \alpha} \in\C$, being ... -
On the accumulation points of non-periodic orbits of a difference equation of fourth order
(2023-06-22)
Research report
Open AccessIn this paper, we are interested in analyzing the dynamics of the fourth-order difference equation x_{n+4}=max{x_{n+3},x_{n+2},x_{n+1},0}-x_n, with arbitrary real initial conditions. We fully determine the accumulation ... -
Counting configurations of limit cycles and centers
(2023-04-10)
Research report
Open AccessWe present several results on the determination of the number and distribution of limit cycles or centers for planar systems of differential equations. In most cases, the study of a recurrence is one of the key points of ... -
Splitting of separatrices for rapid degenerate perturbations of the classical pendulum
(2023-02-16)
Research report
Open AccessIn this work we study the splitting distance of a rapidly perturbed pendulum H(x, y, t) = 1 2 y 2 + (cos(x) - 1) + µ(cos(x) - 1)g t e with g(t ) = P |k|>1 g [k] e ikt a 2p-periodic function and µ, e 1. Systems of this ... -
The Arnold conjecture for singular symplectic manifolds
(2022-12-02)
Research report
Open AccessIn this article, we study the Hamiltonian dynamics on singular symplectic manifolds and prove the Arnold conjecture for a large class of bm-symplectic manifolds. More precisely, we prove a lower bound on the number 1-periodic ... -
How to avoid repetitions in lattice-based deniable zero-knowledge proofs
(2022-06-23)
Research report
Open AccessInteractive zero-knowledge systems are a very important cryptographic primitive, used in many applications, especially when deniability (also known as non-transferability) is desired. In the lattice-based setting, the ... -
Hamiltonian facets of classical gauge theories on E-manifolds
(2022-09-21)
Research report
Open AccessManifolds with boundary, with corners, b-manifolds and foliations model configuration spaces for particles moving under constraints and can be described as E-manifolds. E-manifolds were introduced in [NT01] and investigated ... -
Reduction theory for singular symplectic manifolds and singular forms on moduli spaces
(2022-05-25)
Research report
Open AccessThe investigation of symmetries of b-symplectic manifolds and folded-symplectic manifolds is well-understood when the group under consideration is a torus (see, for instance, [GMPS, GLPR,GMW18a]forb-symplecticmanifoldsand ... -
Paired and semipaired domination in near-triangulations
(2022-07-22)
Research report
Open AccessA dominating set of a graph G is a subset D of vertices such that every vertex not in D is adjacent to at least one vertex in D. A dominating set D is paired if the subgraph induced by its vertices has a perfect matching, ... -
Bohr-Sommerfeld quantization of b-symplectic toric manifolds
(2022-03-07)
Research report
Open AccessWe define the Bohr-Sommerfeld quantization via T-modules for a b-symplectic toric manifold and show that it coincides with the formal geometric quantization of [GMW18b]. In particular, we prove that its dimension is given ... -
Rank axioms and supersimplicity
(2022-02-13)
Research report
Open AccessJust as Lascar’s notion of abstract rank axiomatizes the U rank, we propose axioms for the ranks SUd and SUf , the foundation ranks of dividing and forking. We study the relationships between these axioms. As with superstable, ...
RSS 1.0