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Exponential decay of correlations for finite horizon Sinai billiard flows
, 2015We prove exponential decay of correlations for the billiard flow associated with a two-dimensional finite horizon Lorentz Gas (i.e., the Sinai billiard flow with finite horizon).
V. Baladi, Mark F. Demers, C. Liverani
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2007
The exponential function is one of the most important and widely occurring functions in physics and biology. We start with a gentle introduction to exponential growth and decay and show how to analyze exponential data using semilog and log-log plots. More advanced topics include variable rates, clearance, and multiple decay paths.
Russell K. Hobbie, Bradley J. Roth
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The exponential function is one of the most important and widely occurring functions in physics and biology. We start with a gentle introduction to exponential growth and decay and show how to analyze exponential data using semilog and log-log plots. More advanced topics include variable rates, clearance, and multiple decay paths.
Russell K. Hobbie, Bradley J. Roth
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Neuronal Spike Trains With Exponential Decay
Neurological Research, 1981Stochastic models for the spike discharge activity of neurons are analyzed. Model I treats only excitatory impulses occurring as Poisson events with exponential density of the jump magnitude, and, in the absence of these events, the subthreshold potential decays exponentially.
R, Vasudevan +2 more
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, 2015
We prove exponential decay of correlations for a class of $${C^{1+\alpha}}$$C1+α uniformly hyperbolic skew product flows, subject to a uniform nonintegrability condition.
V. Araújo, I. Melbourne
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We prove exponential decay of correlations for a class of $${C^{1+\alpha}}$$C1+α uniformly hyperbolic skew product flows, subject to a uniform nonintegrability condition.
V. Araújo, I. Melbourne
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Quantum Post-Exponential Decay
2009Exponential decay is a very general phenomenon in the natural sciences.
Joan Martorell +2 more
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An area law for entanglement from exponential decay of correlations
Nature Physics, 2013Area laws for entanglement in quantum many-body systems give useful information about their low-temperature behaviour and are tightly connected to the possibility of good numerical simulations. An intuition from quantum many-body physics suggests that an
F. Brandão, M. Horodecki
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Exponential Decay of Eigenfunctions
1996We take a pause from our development of the theory of linear operators to present a first application to Schrodinger operators. Let us recall from the Introduction that a Schrodinger operator is a linear operator on the Hilbert space L 2 (ℝn) of the form H = -△ + V, where and the potential V is a real-valued function.
P. D. Hislop, I. M. Sigal
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1987
The values of A and k for the exponential $$x = A{e^{ - kt}}$$ (24.1) are determined from the n data points (t i , X i ) by plotting the natural logarithm of X i against t i . The resulting plot is linear with slope — k and intercept ln A. Linear regression (Procedure 3) is used on the pairs (t i , ln x i ).
Ronald J. Tallarida, Rodney B. Murray
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The values of A and k for the exponential $$x = A{e^{ - kt}}$$ (24.1) are determined from the n data points (t i , X i ) by plotting the natural logarithm of X i against t i . The resulting plot is linear with slope — k and intercept ln A. Linear regression (Procedure 3) is used on the pairs (t i , ln x i ).
Ronald J. Tallarida, Rodney B. Murray
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Spectrum and Exponential Decay
2010In this chapter we begin to study the solutions of the electronic Schrodinger equation and compile and prove some basic, for the most part well-known, facts about its solutions in suitable form. Parts of this chapter are strongly influenced by Agmon’s monograph [3] on the exponential decay of the solutions of second-order elliptic equations.
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