Abstract:
Tendo como base os dados colhidos no último Censo do IBGE (2000), percebe-se um novo declínio de adeptos da Igreja Católica, que agora somam 73,8%. Come a a ocorrer uma perda da hegemonia católica sobretudo em raz o do crescimento pentecostal. Mas na verdade, o Brasil continua a ser um país com grande perten a crist (em torno de 90%). Mas já se come a a vislumbrar uma situa o nova, marcada pela destradicionaliza o e pela pluraliza o do campo religioso. A teologia crist se vê convocada a pensar esta nova realidade, sendo desafiada a elaborar respostas novas e criativas para esta situa o emergente. Palavras-chave: Catolicismo; Pluralismo religioso; Teologia; Religi es. ABSTRACT Based on data collected in the last IBGE Census (2000), one notices a decline in the number of Catholics, now reaching 73.8%. A loss of the Catholic hegemony can be felt, resulting mainly from the growth of the Pentecostal Church. In fact, Brazil goes on being a country of wide Christian adhesion (around 90%). However, a new situation, marked by the fall of tradition and a religious pluralism, begins to take shape. Christian theology is challenged to consider that new reality and to elaborate new and creative responses to the emerging situation. Key words: Catholicism; Religious pluralism; Theology; Religions.

Abstract:
O diálogo inter-religioso apresenta-se como um dos grandes desafios para o terceiro milênio. Num tempo marcado pelo recrudescimento da violência e da intolerancia, o diálogo significa uma possibilidade alternativa. N o há outro caminho possível para a paz no mundo sen o mediante o entendimento mútuo e a abertura para a alteridade. O presente artigo busca traduzir o significado do diálogo no contexto da globaliza o e suas condi es de exercício. Palavras-chave: Diálogo; Religi o; Globaliza o; Pluralismo; Alteridade; Comunica o. ABSTRACT Inter-religions dialogue is one of the great challenges of the third millennium. In a time when violence and intolerance have taken momentum, dialogue means an alternativepossibility. There is no other way towards peace in the world but mutual understanding and the openness to alterity. This paper aims at translating the meaning of dialogue within the context of globalization and its conditions of exercise. Key words: Dialogue; Religion; Globalization; Pluralism; Alterity; Communication.

Abstract:
In the rich Islamic mystical tradition, R m is one of the most luminous figures. He is one of the mystics who revealed with great poetical intensity the themes of love and of the unity of the human being with the always greater mystery of God. The aim of this article is to situate him in the Sufi tradition and synthetically to introduce some traces of his mystical thought: the passion for unity, the trajectory to unity, the evidence of God and the religion of love

Abstract:
The well know conjecture of {\it Coburn} [{\it L.A. Coburn, {On the Berezin-Toeplitz calculus}, Proc. Amer. Math. Soc. 129 (2001) 3331-3338.}] proved by {\it Lo} [{\it M-L. Lo, {The Bargmann Transform and Windowed Fourier Transform}, Integr. equ. oper. theory, 27 (2007), 397-412.}] and {\it Englis} [{\it M. Engli$\check{s}$, Toeplitz Operators and Localization Operators, Trans. Am. Math Society 361 (2009) 1039-1052.}] states that any {\it Gabor-Daubechies} operator with window $\psi$ and symbol ${\bf a}(x,\omega)$ quantized on the phase space by a {\it Berezin-Toeplitz} operator with window $\Psi$ and symbol $\sigma(z,\bar{z})$ coincides with a {\it Toeplitz} operator with symbol $D\sigma(z,\bar{z})$ for some polynomial differential operator $D$. Using the Berezin quantization approach, we will extend the proof for polyanalytic Fock spaces. While the generation is almost mimetic for two-windowed localization operators, the Gabor analysis framework for vector-valued windows will provide a meaningful generalization of this conjecture for {\it true polyanalytic} Fock spaces and moreover for polyanalytic Fock spaces. Further extensions of this conjecture to certain classes of Gel'fand-Shilov spaces will also be considered {\it a-posteriori}.

Abstract:
Based on the representation of a set of canonical operators on the lattice $h\mathbb{Z}^n$, which are Clifford-vector-valued, we will introduce new families of special functions of hypercomplex variable possessing $\mathfrak{su}(1,1)$ symmetries. The Fourier decomposition of the space of Clifford-vector-valued polynomials with respect to the ${\rm SO}(n)\times \mathfrak{su}(1,1)$-module gives rise to the construction of new families of polynomial sequences as eigenfunctions of a coupled system involving forward/backward discretizations $E_h^{\pm}$ of the Euler operator $E=\sum\limits_{j=1}^nx_j \partial_{x_j}$. Moreover, the interpretation of the one-parameter representation $\mathbb{E}_h(t)=\exp(tE_h^--tE_h^+)$ of the Lie group ${\rm SU}(1,1)$ as a semigroup $\left(\mathbb{E}_h(t)\right)_{t\geq 0}$ will allows us to describe the polynomial solutions of an homogeneous Cauchy problem on $[0,\infty)\times h{\mathbb Z}^n$ involving the differencial-difference operator $\partial_t+E_h^+-E_h^-$.

Abstract:
The main goal of this paper is to adopt a multivector calculus scheme to study finite difference discretizations of Klein-Gordon and Dirac equations for which Chebyshev polynomials of the first kind may be used to represent a set of solutions. The development of a well-adapted discrete Clifford calculus framework based on spinor fields allows us to represent, using solely projection based arguments, the solutions for the discretized Dirac equations from the knowledge of the solutions of the discretized Klein-Gordon equation. Implications of those findings on the interpretation of the lattice fermion doubling problem is briefly discussed.

Abstract:
We present and study a new class of bound states underlying to discrete electromagnetic Schr\"odinger operators from a multivector calculus perspective. This naturally lead to hypercomplex versions of Poisson-Charlier polynomials, Meixner polynomials, among other ones. The foundations of this work are based on the exploitation of the quantum probability formulation '\`a la Dirac' to the setting of Bayesian probabilities, on which the bound states arise as discrete quasi-probability distributions carrying a set of {\it independent and identically distributed} (i.i.d) random variables. By employing Mellin-Barnes integrals in the complex plane we obtain counterparts for the well-known multidimensional Poisson and hypergeometric distributions, as well as quasi-probability distributions that may take negative or complex values on the lattice $h\BZ^n$.

Abstract:
With the aim of derive a quasi-monomiality formulation in the context of discrete hypercomplex variables, one will amalgamate through a Clifford-algebraic structure of signature $(0,n)$ the umbral calculus framework with Lie-algebraic symmetries. The exponential generating function ({\bf EGF}) carrying the {\it continuum} Dirac operator $D=\sum_{j=1}^n\e_j\partial_{x_j}$ together with the Lie-algebraic representation of raising and lowering operators acting on the lattice $h\BZ^n$ is used to derive the corresponding hypercomplex polynomials of discrete variable as Appell sets with membership on the space Clifford-vector-valued polynomials. Some particular examples concerning this construction such as the hypercomplex versions of falling factorials and the Poisson-Charlier polynomials are introduced. Certain applications from the view of interpolation theory and integral transforms are also discussed.

Abstract:
A more compact representation of the Segré chart of nuclides can be obtained replacing the isotopic neutron with the corresponding neutron excess number; a first sight inspection of all the natural isotopes is produced. The resulting representation shows a built-inorder in the organization of the nuclear components into the nuclei of the natural isotopes, sustained by the relevant role of the magic numbers. The interpretation, on the identical foot, of the nuclear instability of Tc, Pm and of the elements following Bi is suggested. The present representation reminds the spheron model of the nuclear structure suggested by L. Pauling. The alpha decay paths of radioactive isotopes are shown, side by side to the low energy nuclear transmutations (LENR). Representations of the artificial isotopes of the chemical elements and of the stellar nucleosynthesis processes are also proposed.

Abstract:
Ideas, solely related on the nuclear shell model, fail to give an interpretation of the experimental central role of _{54}Xe in the asymmetric fission of actinides. The same is true for the β-delayed fission of ^{180}Tl to^{ 80}Kr and ^{100}Ru. The representation of the natural isotopes, in the Z-Neutron Excess plane, suggests the importance of the of the Neutron Excess evolution mode in the fragments of the asymmetric actinide fission and in the fragments of the β-delayed fission of ^{180}Tl. The evolution mode of the Neutron Excess, hinged at Kr and Xe, is directed by the 50 and 82 neutron magic numbers. The present isotope representation offers a frame for the interpretation of the post fission evaporation of neutrons, higher for the A_{L} compared to the AH fragments, a tenet in nuclear fission. Further enlightened is the functional meaning of the 50 proton magic number, marking the start of the yield rise of the A_{H} fragments in actinide fission.