Results 321 to 330 of about 1,664,123 (378)

Persistence of Exponential Decay and Spectral Gaps for Interacting Fermions

Communications in Mathematical Physics, 2017
We consider systems of weakly interacting fermions on a lattice. The corresponding free fermionic system is assumed to have a ground state separated by a gap from the rest of the spectrum.
W. De Roeck, M. Salmhofer
semanticscholar   +1 more source

Fourier-Laplace transforms decaying exponentially

Mathematical Proceedings of the Cambridge Philosophical Society, 1988
Let ƒ(x) be a C-valued function which is integrable with respect to a positive measure m on the Borel σ-field of R = (– ∞, ∞). We shall give necessary and sufficient conditions under which the following Fourier-Laplace transform f(λ) of ƒ(x) decays exponentially as λ → ∞:where θ is a constant with –π/2 ≤ θ ≤ π/2.
openaire   +1 more source

Exponential decay of correlations for finite horizon Sinai billiard flows

, 2015
We 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
semanticscholar   +1 more source

Exponential Growth and Decay

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
openaire   +1 more source

Neuronal Spike Trains With Exponential Decay

Neurological Research, 1981
Stochastic 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, P R, Vittal, A, Vijayakumar   +2 more
openaire   +2 more sources

Exponential Decay of Correlations for Nonuniformly Hyperbolic Flows with a $${{C^{1+\alpha}}}$$C1+α Stable Foliation, Including the Classical Lorenz Attractor

, 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
semanticscholar   +1 more source

Quantum Post-Exponential Decay

2009
Exponential decay is a very general phenomenon in the natural sciences.
Joan Martorell, J. Gonzalo Muga, Donald W.L. Sprung   +2 more
openaire   +1 more source

Exponential Decay of Eigenfunctions

1996
We 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
openaire   +1 more source

An area law for entanglement from exponential decay of correlations

Nature Physics, 2013
Area 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
semanticscholar   +1 more source

Exponential Growth and Decay

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
openaire   +1 more source