ergodic's Usage Examples:

In mathematics, ergodicity expresses the idea that a point of a moving system, either a dynamical system or a stochastic process, will eventually visit.

discipline of ergodic theory, a Sinai–Ruelle–Bowen (SRB) measure is an invariant measure that behaves similarly to, but is not an ergodic measure.

The maximal ergodic theorem is a theorem in ergodic theory, a discipline within mathematics.

Institute of Technology, Bombay, Mumbai who works in the broad area of ergodic theory.

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

are ergodic, ergodic systems are not in general mixing systems! Mixing implies an interaction which may not exist.

The canonical example of an ergodic system.

integral, in Andrey Kolmogorov's axiomatisation of probability theory and in ergodic theory.

combinatorics is a field in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis.

his 1931 discovery of what is now called the ergodic theorem.

Combining insights from physics on the ergodic hypothesis with measure theory, this theorem.

In physics and thermodynamics, the ergodic hypothesis says that, over long periods of time, the time spent by a system in some region of the phase space.

econometrics and signal processing, a stochastic process is said to be ergodic if its statistical properties can be deduced from a single, sufficiently.

1966) is an American mathematician who works in dynamical systems and ergodic theory, and uses dynamical methods to address problems in number theory.

The theorem is commonly discussed in the context of ergodic theory, dynamical systems and statistical mechanics.

This is a typical situation in ergodic theory.

In those branches of mathematics called dynamical systems and ergodic theory, the concept of a wandering set formalizes a certain idea of movement and.

Synonyms:

random;

Antonyms:

purposive; nonrandom;