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The system is said to be ergodic if they are equal.
This is the case only for a very limited class of systems that are called "ergodic" there.
Systems that do cover all available phase volume are called ergodic.
Systems for which this is possible are called ergodic.
Many of his works can be considered examples of ergodic literature.
His main scientific interest during these years was in ergodic theory and dynamical systems.
If both ensemble average and time average are same then it is ergodic.
The sequence of positive integers is ergodic for all q.
For processes that are also ergodic, the expectation can be replaced by the limit of a time average.
Another may be that ergodic behavior may depend on the initial energy of the system.
This research activity was strictly related to his formulation of the ergodic hypothesis.
This condition is known as the condition of ergodic consistency.
A somewhat related meaning is explained at ergodic theory.
The ergodic hypothesis fails us here on any relevant timescale.
The ergodic hypothesis is often assumed in statistical analysis.
Ergodic theory is the study of invariant measures in dynamical systems.
This is a typical situation in ergodic theory.
Yet another variation is to use a single transducer and an ergodic cavity.
Nadkarni is an author of books on Ergodic theory.
For an ergodic transformation, the time average equals the space average almost surely.
These elements have been used in the investigation of geometric and ergodic theoretic questions.
Typical questions concern the existence of an invariant or ergodic measure for the map.
The ergodic axiom asserts that the future of the economy can be predicted based on the past and present market conditions.
Ergodic theory - the study of dynamical systems with an invariant measure, and related problems.
A system with a compact phase space which has a non-constant first integral cannot be ergodic.