Results 11 to 20 of about 10,947 (207)
Dirichlet approximation and universal Dirichlet series
Proceedings of the American Mathematical Society, 2017 We characterize the uniform limits of Dirichlet polynomials on a right half plane. In the Dirichlet setting, we find approximation results, with respect to the Euclidean distance and to the chordal one as well, analogous to classical results of Runge, Mergelyan and Vituškin. We also strengthen the notion of universal Dirichlet series.
Aron, R.M. +4 more
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A connection between power series and Dirichlet series [PDF]
, 2021 [EN] We prove that for any convergent Laurent series f(z) = ∞n=−k anzn with k ≥ 0, there is a meromorphic function F(s) on C whose only possible poles are among the integers n = 1, 2, ..., k, having residues Res(F; n) = a−n/(n − 1)!, and satisfying F(−
Ruiz, Francisco J. +4 more
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Lattice permutations and Poisson-Dirichlet distribution of cycle lengths [PDF]
, 2012 We study random spatial permutations on ℤ3 where each jump x↦π(x) is penalized by a factor e−T∥x−π(x)∥2 . The system is known to exhibit a phase transition for low enough T where macroscopic cycles appear.
Daniel Ueltschi +6 more
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On regular variation of entire Dirichlet series
Математичні Студії, 2023 Consider an entire (absolutely convergent in $\mathbb{C}$) Dirichlet series $F$ with the exponents $\lambda_n$, i.e., of the form $F(s)=\sum_{n=0}^\infty a_ne^{s\lambda_n}$, and, for all $\sigma\in\mathbb{R}$, put $\mu(\sigma,F)=\max\{|a_n|e^{\sigma ...
P. V. Filevych, O. B. Hrybel
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Pseudostarlikeness and Pseudoconvexity of Multiple Dirichlet Series
Universal Journal of Mathematics and Applications, 2023 Let $p\in {\Bbb N}$, $s=(s_1,\ldots,s_p)\in {\Bbb C}^p$, $h=(h_1,\ldots,h_p)\in {\Bbb R}^p_+$, $(n)=(n_1,\ldots,n_p)\in {\Bbb N}^p$ and the sequences $\lambda_{(n)}=(\lambda^{(1)}_{n_1},\ldots,\lambda^{(p)}_{n_p})$ are such that $0<\lambda^{(j)}_1 ...
Myroslav Sheremeta
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Generative Supervised Classification Using Dirichlet Process Priors. [PDF]
, 2010 Choosing the appropriate parameter prior distributions associated to a given Bayesian model is a challenging problem. Conjugate priors can be selected for simplicity motivations.
Davy, Manuel, Tourneret, Jean-Yves
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Sampling from Dirichlet process mixture models with unknown concentration parameter: mixing issues in large data implementations [PDF]
, 2014 We consider the question of Markov chain Monte Carlo sampling from a general stick-breaking Dirichlet process mixture model, with concentration parameter (Formula presented.).
Silvia Liverani +5 more
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Discrete universality of absolutely convergent Dirichlet series
Mathematical Modelling and Analysis, 2022 In the paper, an universality theorem of discrete type on the approximation of analytic functions by shifts of a special absolutely convergent Dirichlet series is obtained.
Mindaugas Jasas +3 more
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The growth of Dirichlet series [PDF]
, 2012 summary:We define Knopp-Kojima maximum modulus and the Knopp-Kojima maximum term of Dirichlet series on the right half plane by the method of Knopp-Kojima, and discuss the relation between them.
Gu, Zhendong, Sun, Daochun
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A nonparametric predictive alternative to the Imprecise Dirichlet Model: the case of a known number of categories [PDF]
, 2006 Nonparametric Predictive Inference (NPI) is a general methodology to learn from data in the absence of prior knowledge and without adding unjustified assumptions.
Augustin, Thomas +3 more
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