Results 11 to 20 of about 97,220 (201)
Angewandte Chemie, EarlyView.This study explores the origins of life by linking prebiotic chemistry, the emergence of information‐carrying molecules such as RNA and proteins, and philosophical questions about consciousness. The study emphasizes the role of molecular evolution in the Central Dogma and provides insights into the chemical origins of biology and the basis of life's ...
Harald Schwalbe +5 more
wiley +2 more sources
Quantum ergodicity in the SYK model
Nuclear Physics B, 2018 We present a replica path integral approach describing the quantum chaotic dynamics of the SYK model at large time scales. The theory leads to the identification of non-ergodic collective modes which relax and eventually give way to an ergodic long time ...
Alexander Altland, Dmitry Bagrets
doaj +1 more source
Ergodic limits for inhomogeneous evolution equations
Electronic Journal of Qualitative Theory of Differential Equations, 2020 Let $u$ satisfy an inhomogeneous wave equation such as \begin{align*} u''(t)+A^{2}u(t)=h(t),\qquad u(0)=f,\quad u'(0)=g. \end{align*} We show that in many cases, the limit as $t\rightarrow \infty$ of $\frac{1}{t}\int_{0}^{t}u(s)ds$ exists, and can be ...
Behzad Rouhani +2 more
doaj +1 more source
Two dimensional kicked quantum Ising model: dynamical phase transitions
New Journal of Physics, 2014 Using an efficient one and two qubit gate simulator operating on graphical processing units, we investigate ergodic properties of a quantum Ising spin $1/2$ model on a two-dimensional lattice, which is periodically driven by a δ -pulsed transverse ...
C Pineda, T Prosen, E Villaseñor
doaj +1 more source
Hyperbolic Covariant Coherent Structures in Two Dimensional Flows
Fluids, 2017 A new method to describe hyperbolic patterns in two-dimensional flows is proposed. The method is based on the Covariant Lyapunov Vectors (CLVs), which have the properties of being covariant with the dynamics, and thus, being mapped by the tangent linear ...
Giovanni Conti, Gualtiero Badin
doaj +1 more source
Ergodic Capacity Analysis of Downlink Communication Systems under Covariance Shaping Equalizers
Mathematics, 2022 Advances in higher-end spectrum utilization has enabled user equipment to dock multiple antenna elements, and hence make use of selectivity via equalization in new generation of mobile networks.
Ubaid M. Al-Saggaf +2 more
doaj +1 more source
Ergodicity test of the eddy-covariance technique [PDF]
Atmospheric Chemistry and Physics, 2015 The ergodic hypothesis is a basic hypothesis typically invoked in atmospheric surface layer (ASL) experiments. The ergodic theorem of stationary random processes is introduced to analyse and verify the ergodicity of atmospheric turbulence measured using ...
J. Chen, Y. Hu, Y. Yu, S. Lü
doaj +1 more source
Poisson suspensions and infinite ergodic theory
, 2008 We investigate ergodic theory of Poisson suspensions. In the process, we establish close connections between finite and infinite measure preserving ergodic theory.
Daley +5 more
core +4 more sources
The ergodic theory of hyperbolic groups [PDF]
, 2012 These notes are a self-contained introduction to the use of dynamical and probabilistic methods in the study of hyperbolic groups. Most of this material is standard; however some of the proofs given are new, and some results are proved in greater ...
Calegari, Danny
core +3 more sources
Ergodic conditions and spectral properties for A-contractions [PDF]
Opuscula Mathematica, 2008 In this paper the canonical representation of an \(A\)-contraction \(T\) on a Hilbert space \(\mathcal{H}\) is used to obtain some conditions concerning the concept of \(A\)-ergodicity studied in [L.
Laurian Suciu, Nicolae Suciu
doaj