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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
open access

Sturm Bounds for Siegel Modular Forms

Description: This article establishes Sturm bounds for degree g Siegel modular forms modulo a prime p, which are vital for explicit computations. This includes an inductive proof that exploits Fourier-Jacobi expansions of Siegel modular forms and properties of specializations of Jacobi forms to torsion points.
Date: February 2, 2015
Creator: Richter, Olav K. & Westerholt-Raum, Martin
open access

Ultra-Fast Alterations in mRNA Levels Uncover Multiple Players in Light Stress Acclimation in Plants

Description: This article contains RNA sequencing analysis of Arabidopsis thaliana plants subjected to light stress in order to identify and characterize rapid changes in the steady-state level of different transcripts in response to light stress.
Date: September 26, 2015
Creator: Suzuki, Nobuhiro; Devireddy, Amith R.; Inupakutika, Madhuri A.; Baxter, Aaron; Miller, Gad; Song, Luhua et al.
open access

Loitering at the hilltop on exterior domains

Description: In this article, the author proves the existence of an infinite number of radial solutions of Δu+f(u)=0 on the exterior of the ball of radius R>0 centered at the origin and f is odd with f<0 on (0,β), f>0 on (β,δ), and f≡0 for u>δ. The primitive F(u)=∫u0f(t)dt has a "hilltop" at u=δ which allows one to use the shooting method and ODE techniques to prove the existence of solutions.
Date: November 23, 2015
Creator: Iaia, Joseph A.
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