Periodic orbits of the planar collision restricted 3-body problem

Using the continuation method we prove that the circular and the elliptic symmetric periodic orbits of the planar rotating Kepler problem can be continued into periodic orbits of the planar collision restricted 3–body problem. Additionally, we also continue to this restricted problem the so called “comets orbits”.

A proof that all Seifert 3-manifold groups and all virtual surface groups are conjugacy separable

We prove that the fundamental group of any Seifert 3-manifold is conjugacy separable. That is, conjugates may be distinguished infinite quotients or, equivalently, conjugacy classes are closed in the pro-finite topology.

Periodic orbits near a heteroclinic loop formed by one dimensional orbit and a 2-dimensional manifold: application to the charged collinear 3-body problem

The paper is devoted to the study of a type of differential systems which appear usually in the study of some Hamiltonian systems with 2 degrees of freedom. We prove the existence of infinitely many periodic orbits on each negative energy level. All these periodic orbits pass near the total collision. Finally we apply these results to study the existence of periodic orbits in the charged collinear 3–body problem.

Non compact euclidean cone 3-manifolds with cone angles less than 2∏

We study of noncompact Euclidean cone manifolds with cone angles less than c&2π and singular locus a submanifold. More precisely, we describe its structure outside a compact set. As a corol lary we classify those with cone angles & 2π/3 and those with cone angles = 2π/3.

Hopf bifurcation for degenerate singular points of multiplicity 2n-1 in dimension 3

"Vegeu el resum a l'inici del document del fitxer adjunt."

CM points and weight 3=2 modular forms

"Vegeu el resum a l'inici del document del fitxer adjunt."

Untitled 3 Detail C

Detail of Untitled 3, 2011, pastel on paper.

Untitled 3 Detail B

Detail of Untitled 3, 2011, pastel on paper.

Untitled 3 Detail A

Detail of Untitled 3, 2011, pastel on paper.

Untitled 3

Untitled 3, 2011, pastel on paper, 10.5' x 6'.

4 Studies, Night Light (Part 3)

Combined media on photographic paper. 80" x 55"

La información televisiva durante la crisis del Prestige. Anàlisis de contenido de los noticiarios de TVE1, TV3, Antena 3 y telecinco

La catàstrofe mediambiental generada per l’enfonsament del petroler Prestige enfront de les costes gallegues al 2002 ha estat un dels majors desastres ecològics a Espanya i les seves conseqüències es van estendre al terreny polític i social, generant una situació de crisi sense precedents al territori espanyol. Aquest treball de recerca inclou el marc teòric, la metodologia i els primers resultats de l’estudi de la informació televisiva emesa per quatre cadenes generalistes de televisió durant tota la crisi. A més d’una revisió crítica de les teories de la comunicació i els seus mètodes d’investigació, s’ofereix un estudi sobre el concepte i l’estructura del noticiari televisiu, així com unes notes introductòries sobre la cobertura de cada cadena.

Mixing invariants of hyperbolic 3-manifolds

Let M be a compact hyperbolic 3-manifold with incompressible boundary. Consider a complete hyperbolic metric on int(M). To each geometrically finite end of int(M) are traditionnaly associated 3 different invariants : the hyperbolic metric associated to the conformal structure at infinity, the hyperbolic metric on the boundary of the convex core and the bending measured lamination of the convex core. In this note we show how invariants of different types can be realised in the different ends.