-Askey & Wilson, Al Salam-Carlitz and the celebrated q-little and q-big Jacobi. 1 Introduction. In the last decade an increasing interest on the so called q-orthogonal polynomials (or basic orthogonal polynomials) is observed ( for a review see [1], [2] and [3]). The reason is not only of purely intrinsic

In this paper we are interested in the maximisation problem for the quantum or non-quantum entropy functional (1.1) H(g):=

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ABSTRACT. – We study weakly convergent sequences of suitable weak solutions of heat flows of harmonic maps or approximated harmonic maps. We prove a dimensional stratification for the space-time concentration measure and verify that the concentration measure, viewed as a generalized varifold, moves according to the generalized varifold flow rule which reduces to the Brakke’s flow of varifold provided that the limiting harmonic map flow is suitable. We also establish an energy quantization for the density of the limiting varifold. 2002 Éditions scientifiques et médicales Elsevier SAS AMS classification: 35K55; 58J35

ii iii CHRISTOPHER CHARLES WEIGLE: Displays for Exploration and Comparison of Nested

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, approximate normality, rate of convergence, and test accuracy. We then use the estimator to study asset returns data. 1. INTRODUCTION It is now widely accepted that log-returns of many macroeconomic and …nancial time series are heavy tailed, asymmetrically distributed, and exhibit clustering of large values

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This dissertation addresses mathematical issues regarding weakly compressible approximations of gas dynamics that arise both in fluid dynamical and in kinetic settings. These approximations are derived in regimes in which (1) transport coeffi-cients (viscosity and thermal conductivity) are small

elliptic equations with critical nonlinearities in lower order derivatives. Mathematics Subject Classification (2000): 35J60, 35H20 1.