Recurrence period density entropy (RPDE) is a method, in the fields of dynamical systems, stochastic processes, and time series analysis, for determining...

sub-systems. Joint recurrence plots can be used in order to detect phase synchronisation. Poincaré plot Recurrence period density entropy, an information-theoretic...

network Recurrence period density entropy, an information-theoretic method for summarising the recurrence properties of dynamical systems Recurrence plot...

Arnold's cat map Ergodic hypothesis Quantum revival Recurrence period density entropy Recurrence plot Wandering set Poincaré, H. (1890). "Sur le problème...

measure trend. Recurrence plot, a powerful visualisation tool of recurrences in dynamical (and other) systems. Recurrence period density entropy, an information-theoretic...

gravity is important, uniform conditions (e.g. gas of uniform density) in fact have lower entropy compared to non-uniform ones (e.g. black holes in empty space)...

distribution Rectified Gaussian distribution Recurrence period density entropy Recurrence plot Recurrence quantification analysis Recursive Bayesian estimation...

radiation. Over infinite time, there could be a spontaneous entropy decrease by the Poincaré recurrence theorem, thermal fluctuations, and the fluctuation theorem...

sources of natural entropy (as a measure of unpredictability or surprise of the number generation process). The speed at which entropy can be obtained from...

of the cyclic problem: according to the second law of thermodynamics, entropy can only increase. This implies that successive cycles grow longer and...

density Correlation entropy Approximate entropy Sample entropy Fourier entropy [uk] Wavelet entropy Dispersion entropy Fluctuation dispersion entropy...

Product-form solution / Mar Quasireversibility Queueing theory Recurrence period density entropy Variance gamma process / fnc Wiener equation Boolean model...

words, a state i is ergodic if it is recurrent, has a period of 1, and has finite mean recurrence time. If all states in an irreducible Markov chain are...

run for a long time. The first result in this direction is the Poincaré recurrence theorem, which claims that almost all points in any subset of the phase...

and time Lyapunov spectra Dimension density Kolmogorov–Sinai entropy density Distributions of patterns Pattern entropy Propagation speed of finite and infinitesimal...

2011). Entropy in Dynamical Systems. Cambridge University Press. p. 106. ISBN 978-1-139-50087-6. Smorodinsky, Meir (1971). "Chapter IX. Entropy and generators...

thus the model is in the form of a stochastic difference equation (or recurrence relation) which should not be confused with a differential equation. Together...

so are each of those two independent random variables. It is a maximum-entropy distribution among the set of generalized binomial distributions B n (...

C,\,\forall A\in {\mathcal {B}}({\mathcal {X}}).} Definition (Harris recurrence) A set A {\displaystyle A} is Harris recurrent if P x ( η A = ∞ ) = 1...

infinite amount of time, there could also be a spontaneous entropy decrease, by a Poincaré recurrence or through thermal fluctuations (see also fluctuation...

number of occurrences (events) of some periodic phenomenon. The regular recurrences of the seasons, the motions of the sun, moon and stars were noted and...

universe must account for the second law of thermodynamics, which states that entropy, or a loss of the energy available to do work, must rise over time. Stars...

Although directly computing large factorials using the product formula or recurrence is not efficient, faster algorithms are known, matching to within a constant...

time is not a dimension in itself, but rather a projection emergent from entropy flow within a higher-dimensional spatial framework. This approach reframes...

(1965). "Interaction of 'solitons' in a collisionless plasma and the recurrence of initial states". Phys. Rev. Lett. 15 (6): 240–243. Bibcode 1965PhRvL...

the densities of energy and entropy of matter (cf. and; also; for details see ). For the ultrarelativistic equation of state p = ε/3 the entropy σ ~ ε1/4...

cherished second law of thermodynamics and thus continues to accumulate net entropy. As such, ordered material systems—from buzzing bees and redwood trees...

an optimization technique for dispatching elevators Energy minimization Entropy maximization Highly optimized tolerance Hyperparameter optimization Inventory...

Covariance function Deterministic system Dynamics of Markovian particles Entropy rate (for a stochastic process) Ergodic process Gillespie algorithm Interacting...

identifying these characteristic earthquakes and timing their recurrence rate (or conversely return period) should therefore inform us about the next rupture; this...