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Newton flow of the Riemann zeta function: separatrices control the appearance of zeros

Description: This article applies the continuous Newton method to the Riemann zeta function and discusses the emerging patterns emphasizing especially the structuring of the non-trivial zeros by the separatrices.
Date: October 14, 2014
Creator: Neuberger, J. W.; Feiler, C.; Llopis, A.; Maier, H. & Schleich, W. P.
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Partner: UNT College of Arts and Sciences
open access

Stochastics and Thermodynamics for Equilibrium Measures of Holomorphic Endomorphisms on Complex Projective Spaces

Description: This article proves that the dynamical system (f,μφ) enjoys exponential decay of correlations of Hölder continuous observables as well as the Central Limit Theorem and the Law of Iterated Logarithm for the class of these variables that, in addition, satisfy a natural co-boundary condition. This article also shows that the topological pressure function t ↦ P(tφ) is real-analytic throughout the open set of all parameters t for which the potentials tφ have pressure gaps.
Date: February 14, 2014
Creator: Szostakiewicz, Michał; Urbański, Mariusz & Zdunik, Anna
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Partner: UNT College of Arts and Sciences
open access

Aging Renewal Point Processes and Exchangeability of Event Times

Description: In this article the authors investigate the impact of latency aging on exchangeable (invariant under permutation of indices) inter-arrival times arising from mixed renewal point processes (statistical mixtures of point processes with renewal inter-arrival times) and explore the implications for reliability and survival analysis. The authors' data analysis, which includes both surrogate data and a Bayesian approach to high-frequency currency exchange-rate data, shows how aging impacts key surviv… more
Date: May 14, 2024
Creator: Vanni, Fabio & Lambert, David
Item Type: Refine your search to only Article
Partner: UNT College of Science
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