Studies in non-Gaussian analysis

This thesis presents general methods in non-Gaussian analysis in infinite dimensional spaces. As main applications we study Poisson and compound Poisson spaces. Given a probability measure μ on a co-nuclear space, we develop an abstract theory based on the generalized Appell systems which are bi-orthogonal. We study its properties as well as the generated Gelfand triples. As an example we consider the important case of Poisson measures. The product and Wick calculus are developed on this context. We provide formulas for the change of the generalized Appell system under a transformation of the measure. The L² structure for the Poisson measure, compound Poisson and Gamma measures are elaborated. We exhibit the chaos decomposition using the Fock isomorphism. We obtain the representation of the creation, annihilation operators. We construct two types of differential geometry on the configuration space over a differentiable manifold. These two geometries are related through the Dirichlet forms for Poisson measures as well as for its perturbations. Finally, we construct the internal geometry on the compound configurations space. In particular, the intrinsic gradient, the divergence and the Laplace-Beltrami operator. As a result, we may define the Dirichlet forms which are associated to a diffusion process. Consequently, we obtain the representation of the Lie algebra of vector fields with compact support. All these results extends directly for the marked Poisson spaces.

Estudo das propriedades críticas do processo epidêmico por par com difusão de pares

The pair contact process - PCP is a nonequilibrium stochastic model which, like the basic contact process - CP, exhibits a phase transition to an absorbing state. While the absorbing state CP corresponds to a unique configuration (empty lattice), the PCP process infinitely many. Numerical and theoretical studies, nevertheless, indicate that the PCP belongs to the same universality class as the CP (direct percolation class), but with anomalies in the critical spreading dynamics. An infinite number of absorbing configurations arise in the PCP because all process (creation and annihilation) require a nearest-neighbor pair of particles. The diffusive pair contact process - PCPD) was proposed by Grassberger in 1982. But the interest in the problem follows its rediscovery by the Langevin description. On the basis of numerical results and renormalization group arguments, Carlon, Henkel and Schollwöck (2001), suggested that certain critical exponents in the PCPD had values similar to those of the party-conserving - PC class. On the other hand, Hinrichsen (2001), reported simulation results inconsistent with the PC class, and proposed that the PCPD belongs to a new universality class. The controversy regarding the universality of the PCPD remains unresolved. In the PCPD, a nearest-neighbor pair of particles is necessary for the process of creation and annihilation, but the particles to diffuse individually. In this work we study the PCPD with diffusion of pair, in which isolated particles cannot move; a nearest-neighbor pair diffuses as a unit. Using quasistationary simulation, we determined with good precision the critical point and critical exponents for three values of the diffusive probability: D=0.5 and D=0.1. For D=0.5: PC=0.89007(3), β/v=0.252(9), z=1.573(1), =1.10(2), m=1.1758(24). For D=0.1: PC=0.9172(1), β/v=0.252(9), z=1.579(11), =1.11(4), m=1.173(4)

A contribuição de Diké na formação do Emílio ou o papel da jurisdição constitucional na concretização do direito social à educação

The fundamental social right to education has a lengthy constitutional argument, having been declared as a right to everyone in the Title dedicated to the fundamental rights and warrants and, later, scrutinized in the Social Order Chapter exclusively devoted to this theme, where specific rights are guaranteed and fundamental duties are imposed to family, society, and state. In that which concerns education, the 1988 Constitution is the result of a historical-normative process which, since the days of the Lusitanian Empire wavering between distinct levels of protection warrants in some way the educational process. Nevertheless, not even the State s oldest commitment to education has been fully achieved, namely, the annihilation of illiteracy. Even as other fundamental social rights, education is inflicted with the lack of effective political will to reach its fulfillment, and this is reflected in the production of doctrine and jurisprudence which reduce the efficacy of these rights. The objective of this work is to analyze what part is to be played by the constitutional jurisdiction in the reversal of this picture in regards to the fulfillment of the fundamental social right to education. Therefore it is indispensable to present a proper conception of constitutional jurisdiction its objectives, boundaries and procedures and that of the social rights in the Brazilian context so as to establish its relationship from the prism of the right to education. The main existing obstacles to the effective action of constitutional jurisdiction on the ground of social rights are identified and then proposals so as to overcome them are presented. The contemplative and constructive importance of education in the shaping of the individual as well as its instrumental relevance to the achievement of the democratic ideal through the means of the shaping of the citizen is taken into account. The historical context which leads to the current Brazilian educational system is analyzed, tracing the normative area and the essential content of the fundamental right to education aiming to delineate parameters for the adequate development of the constitutional jurisdiction in the field. This jurisdiction must be neither larger nor narrower than that which has been determined by the Constitution itself. Its activity has been in turns based on a demagogic rhetoric of those fundamental rights which present a doubtful applicability, or falling short of that which has been established showing an excessive reverence to the constituent powers. It is necessary to establish dogmatic parameters for a good action of this important tool of constitutional democracy, notably in regards to the fundamental social right to education, for the sake of its instrumental role in the achievement of the democratic ideals of liberty and equality

Vortex-Antivortex Dynamics in a Mesoscopic Superconducting Prism with a Centered Antidot

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Ressignificação existencial do pretérito e longevidade humana

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Classification of states in S0(8) proton-neutron pairing model

lsoscalar (T = 0) plus isovector (T = 1) pairing Hamiltonian in LS-coupling. which is important for heavy N = Z nuclei, is solvable in terms of a SO(8) Lie algebra for three special values of the mixing parameter that measures the competition between the T = 0 aid T = 1 pairing. The SO(8) algebra is generated, amongst others, by the S = 1, T = 0 and S = 0, T = 1 pair creation and annihilation operators and corresponding to the three values of the mixing parameter, there are three chains of subalgebras: SO(8) superset of SOST (6) superset of SOS(3) circle times SOT(3), SO(8) superset of [SOS(5) superset of SOS(3)] circle times SOT(3) and SO(8) superset of [SOT(5) superset of SOT(3)] circle times SOS(3). Shell model Lie algebras, with only particle number conserving generators, that are complementary to these three chains of subalgebras are identified and they are used in the classification of states for a given number of nucleons. The classification problem is solved explicitly tor states with SO(8) seniority nu = 0, 1, 2, 3 and 4. Using them, hand structures in isospin space are identified for states with nu = 0, 1, 2 and 3. (c) 2005 Elsevier B.V. All rights reserved.

Collision of positronium with atoms, molecules and ions using a modified coupled-channel framework

Scattering of positronium (Ps) from atoms (H, He, Ne, Ar), molecule (H(2)) and ion (He(+)) have been investigated using a coupled-channel (CC) formalism with a regularised non-local exchange potential. The advantage of using such a regularized exchange potential in the close-coupling formalism and the normalizability aspect of the solution at low energies with a minimum effective coupling are discussed. Results for the elastic and total scattering cross-sections, resonance and binding energies in Ps-H, and pick-off annihilation results in Ps-He are found to be in excellent agreement with measurements and variational predictions. (C) 2000 Elsevier B.V. B.V. All rights reserved.

The reaction (p)over-barp -> (Lambda)over-bar(c)(-)Lambda(+)(c) close to threshold

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

QCD tests with an infrared finite gluon propagator and coupling constant

Recent progress in the solution of Schwinger-Dyson equations, as well as lattice simulation of pure glue QCD, indicate that the gluon propagator and coupling constant are infrared finite. Such non-perturbative information can be introduced in the QCD perturbative expansion in the scheme named Dynamical Perturbation Theory. We exemplify this procedure with the calculation of some two-body non-leptonic annihilation B meson decays, which show agreement with the experimental data in the case of a gluon propagator characterized by a dynamical gluon mass of 500MeV, compatible with the value found in several processes computed with this method. We give a. preliminary account of the application of this procedure at the loop level in the case of the Bjorken sum rule.

Positronium interaction and its Bose-Einstein condensation

We present the actual state of affairs and future perspectives in the study of a quantum system of a collection of positronium (Ps) atoms. The interaction of a Ps atom with other atoms and molecules and specially with another Ps atom is described in some detail as Ps-Ps interaction should play a crucial role in the dynamics of an assembly of Ps atoms. Using a simple model-exchange potential, we could describe the available experimental results of Ps scattering reasonably well. The present scenario of the observation of Ps2 molecule, Ps Bose-Einstein condensate (BEC) and the annihilation laser from a Ps BEC is presented. Possibilities of a Ps BEC formation via laser cooling of Ps atoms and via Ps formation in cavities are considered and difficulties with each procedure discussed (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Charmed meson rescattering in the reaction pd -> DDN

We examine possibility to extract information about the DN and DN interactious from the pd -> D(0)D(-)p reaction. We utilize the notion that the open-charm mesons are first produced hi the annihilation of the antiproton on one nucleon in the deuteron and subsequently rescatter oil the other (the spectator) nucleon. The latter process is then exploited for investigating the DN and DN interaction.,;. We study different methods for isolating the contributions from the D(0)p and D(-)p rescattering terms.

Usando a antimatéria na medicina moderna

Neste artigo, fazemos uma breve exposição de como um dos conceitos fundamentais da física moderna, a existência de antimatéria, tem aplicação na medicina, na chamada tomografia por emissão de pósitrons (PET na sigla em inglês). Ela consiste na produção de imagens tomográficas digitais do organismo que são obtidas pela detecção da radiação produzida na aniquilação do pósitron com o elétron.

Dynamical properties of a dissipative hybrid Fermi-Ulam-bouncer model

Some consequences of dissipation are studied for a classical particle suffering inelastic collisions in the hybrid Fermi-Ulam bouncer model. The dynamics of the model is described by a two-dimensional nonlinear area-contracting map. In the limit of weak and moderate dissipation we report the occurrence of crisis and in the limit of high dissipation the model presents doubling bifurcation cascades. Moreover, we show a phenomena of annihilation by pairs of fixed points as the dissipation varies. (c) 2007 American Institute of Physics.

SU(3) mixing for excited mesons

The SU(3)-flavour symmetry breaking and the quark-antiquark annihilation mechanism are taken into account for describing the singlet-octet mixing for several nonets assigned by the Particle Data Group (PDG). This task is approached with the mass matrix formalism.