View example sentences, synonyms and word forms for Ergodic.
Ergodic meaning
Of or relating to certain systems that, given enough time, will eventually return to a previously experienced state. | Of or relating to a process in which every sequence or sample of sufficient size is equally representative of the whole. | Of or relating to a literary work that requires nontrivial effort on the reader's part to traverse.
Synonyms of Ergodic
Example sentences (9)
There are various arguments in favour of the equal a priori probability postulate: * Ergodic hypothesis : An ergodic state is one that evolves over time to explore "all accessible" states: all those with the same energy and composition.
An ergodic process is one in which there is no path dependence; all paths are representative of the whole.
A very small mutation rate may lead to genetic drift (which is non- ergodic in nature).
Babylonian thought was also based on an open-systems ontology which is compatible with ergodic axioms.
Ergodic systems main In many dynamical systems, it is possible to choose the coordinates of the system so that the volume (really a ν-dimensional volume) in phase space is invariant.
In an ergodic system, the microcanonical ensemble is the only possible equilibrium ensemble with fixed energy.
The ergodic theorem has also had repercussions for dynamics.
This approach has limited applicability, since most systems are not ergodic.
Two famous papers are: citation. citation. citation Of the 1932 papers on ergodic theory, Paul Halmos writes that even "if von Neumann had never done anything else, they would have been sufficient to guarantee him mathematical immortality".