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Landau and Kolmogoroff type polynomial inequalities II
(2004-06-01)
Let 0 < j < m ≤ n. Kolmogoroff type inequalities of the form ∥f(j)∥2 ≤ A∥f(m)∥ 2 + B∥f∥2 which hold for algebraic polynomials of degree n are established. Here the norm is defined by ∫ f2(x)dμ(x), where dμ(x) is any ...
Landau and Kolmogoroff type polynomial inequalities II
(2004-06-01)
Let 0 < j < m ≤ n. Kolmogoroff type inequalities of the form ∥f(j)∥2 ≤ A∥f(m)∥ 2 + B∥f∥2 which hold for algebraic polynomials of degree n are established. Here the norm is defined by ∫ f2(x)dμ(x), where dμ(x) is any ...
Gaussian Behavior of Quadratic Irrationals
(Polish Academy of Sciences. Institute of Mathematics, 2021-10)
We study the probabilistic behaviour of the continued fraction expansion of a quadratic irrational number, when weighted by some "additive" cost. We prove asymptotic Gaussian limit laws, with an optimal speed of convergence. ...
Landau and Kolmogoroff type polynomial inequalities
(Gordon Breach Sci Publ Ltd, 1999-01-01)
Let 0<j<m less than or equal to n be integers. Denote by parallel to . parallel to the norm parallel to f parallel to(2) = integral(-infinity)(infinity) f(2)(x) exp(-x(2)) dx. For various positive values of A and B we ...
Landau and Kolmogoroff type polynomial inequalities
(Gordon Breach Sci Publ Ltd, 2014)
Distribución de los números primos con ponderación
(Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2019-08)
We show how weighted sums of arithmetic functions, allow us to generalize the Prime Number Theorem with the help of some analytical properties of the Riemann zeta function. Furthermore, we will study the oscillations that ...
Existência de solução para um problema de controle associado ao sistema de Ginzburg-Landau e um método numérico para modelos correlatos
(2019)
As equações de Ginzburg-Landau modelam o comportamento de amostras de certos tipos de materiais durante suas mudanças de fase do estado normal para o estado supercondutor, mediante um parâmetro complexo cuja norma ao ...
Processos térmicos e estado resistivo em supercondutores mesoscópicos: dinâmica de vórtices e gradiente e difusão térmica estudados usando o teorema da energia livre e o formalismo de Ginzburg-Landau
(Universidade Estadual Paulista (Unesp), 2018-02-05)
Este trabalho está estruturado em duas partes. A primeira, envolve o estudo do estado de vórtices e comportamento magnético de um supercondutor mesoscópico submetido a um gradiente térmico. Foi veri cado que a influência ...
LIFSHITZ TAILS IN CONSTANT MAGNETIC FIELDS
(MATHEMATISCHES FORSCHUNGSINSTITUT OBERWOLFACH, 2004)
We consider the 2D Landau Hamiltonian H perturbed by a random alloy-type potential, and investigate the Lifshitz tails, i.e. the asymptotic behavior of the corresponding integrated density of states (IDS) near the edges ...