Reports de recerca
Recent Submissions
-
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, ... -
The [Theta]-operator and the low hierarchy
(1992-07)
Research report
Open AccessLong and Sheu in their paper [LS-91] introduced a refinement of the low hierarchy based on the [Theta]-levels of the polynomial time hierarchy which gives a deeper sight of the internal structure of NP. In this paper we ... -
Singular cotangent models and complexity in fluids with dissipation
(2022-06-17)
Research report
Open AccessIn this article we analyze several mathematical models with singularities where the classical cotangent model is replaced by a b-cotangent model. We provide physical interpretations of the singular symplectic geometry ... -
Contiguous and internal graph searching
(2002)
Research report
Open AccessIn the graph searching problem, we are given a graph whose edges are all "contaminated", and, via a sequence of "steps" using "searchers", we want to obtain a state of the graph in which all edges are simultaneously "clear". ... -
Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula
(2021-07-21)
Research report
Open AccessThe Restricted 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies called the primaries. If one assumes that the primaries perform circular motions and that ... -
Breakdown of homoclinic orbits to L3 in the RPC3BP (I). Complex singularities and the inner equation
(2022-07-21)
Research report
Open AccessThe Restricted 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies, called the primaries. If the primaries perform circular motions and the massless body ... -
On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami fields
(2021-10-07)
Research report
Open AccessMotivated by Poincare’s orbits going to infinity in the (restricted) three-body problem ´ (see [29] and [7]), we investigate the generic existence of heteroclinic-like orbits in a neighbourhood of the critical set of a ...
RSS 1.0