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open access

An inductive proof of the Cayley-Hamilton theorem

Description: In this article, the author investigates a computational proof of the Cayley-Hamilton theroem, based on induction.
Date: July 2014
Creator: Anghel, Nicolae
Partner: UNT College of Arts and Sciences
open access

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.
Partner: UNT College of Arts and Sciences
open access

Maximum of a function

Description: In this article, the author presents a generalization of a certain Putnam problem.
Date: January 2014
Creator: Anghel, Nicolae
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
Partner: UNT College of Arts and Sciences
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