process. Ergodicity is a property of the system; it is a statement that the system cannot be reduced or factored into smaller components. Ergodic theory...

Ergodic theory is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this...

group level data. Ergodic process Ergodic theory, a branch of mathematics concerned with a more general formulation of ergodicity Ergodicity Loschmidt's paradox...

Ergodic literature is a genre of literature in which nontrivial effort is required for the reader to traverse the text. The term was coined by Espen J...

Ergodicity economics is a research programme that applies the concept of ergodicity to problems in economics and decision-making under uncertainty. The...

Aside from its generic use as the generic adjective ergodic, ergodic may relate to: Ergodicity, mathematical description of a dynamical system which, broadly...

process that is not ergodic is said to be in non-ergodic regime. A regime implies a time-window of a process whereby ergodicity measure is applied. One...

Quantum ergodicity states, roughly, that in the high-energy limit, the probability distributions associated to energy eigenstates of a quantized ergodic Hamiltonian...

contradicting ergodicity. Hence A = B = L∞(R). When all the σt with t ≠ 0 are conservative, the flow is said to be properly ergodic. In this case it...

addresses issues such as theory of price formation, price dynamics, market ergodicity, collective phenomena, market self-action, and market instabilities. Physics...

implies ergodicity: that is, every system that is weakly mixing is also ergodic (and so one says that mixing is a "stronger" condition than ergodicity). The...

probability theory, a stationary ergodic process is a stochastic process which exhibits both stationarity and ergodicity. In essence this implies that the...

In mathematics, an ergodic sequence is a certain type of integer sequence, having certain equidistribution properties. Let A = { a j } {\displaystyle...

several concepts in mathematics such as ordinary differential equations and ergodic theory by allowing different choices of the space and how time is measured...

space. For an SRB measure μ {\displaystyle \mu } , it suffices that the ergodicity condition be valid for initial states in a set B ( μ ) {\displaystyle...

Kingman's subadditive ergodic theorem is one of several ergodic theorems. It can be seen as a generalization of Birkhoff's ergodic theorem. Intuitively...

described by critical exponents, universality, fractal behaviour, and ergodicity breaking. Critical phenomena take place in second order phase transitions...

are frequently challenged by empirical evidence. Thus, under the non-ergodicity hypothesis, the future returns about an investment strategy, which operates...

the areas of mathematical logic, probability theory, operator theory, ergodic theory, and functional analysis (in particular, Hilbert spaces). He was...

exist; then the values of the Lyapunov exponents do not change. Verbally, ergodicity means that time and space averages are equal, formally: lim t → ∞ 1 t...

numbers includes arbitrary large arithmetic progressions. He proved unique ergodicity of horocycle flows on compact hyperbolic Riemann surfaces in the early...

time anyone proved such a dynamical system was ergodic. Also in 1963, Sinai announced a proof of the ergodic hypothesis for a gas consisting of n hard spheres...

Romanian-American mathematician, who made contributions to the fields of ergodic theory, probability and analysis. Bellow was born in Bucharest, Romania...

stationary ergodic process. Any time-invariant operations also preserves the asymptotic equipartition property, stationarity and ergodicity and we may...

Ergodic Ramsey theory is a branch of mathematics where problems motivated by additive combinatorics are proven using ergodic theory. Ergodic Ramsey theory...

theory. There are rigorous mathematical theorems on quantum nature of ergodicity, proving that the expectation value of an operator converges in the semiclassical...

the operator leaves invariant the Gauss–Kuzmin measure, the operator is ergodic with respect to the measure. This fact allows a short proof of the existence...

probability distribution of individual eigenstates (see scars and quantum ergodicity). Semiclassical methods such as periodic-orbit theory connecting the classical...

put forward in 1870 by William Allen Whitworth. An explicit link to the ergodicity problem was made by Peters in 2011. These solutions are mathematically...

His contributions to mathematics are in the fields of harmonic analysis, ergodic theory and spectral theory. He introduced the Cotlar–Stein lemma. He was...