Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective mathematics, physics Of or relating to certain
systems that, given enough time, will eventuallyreturn to previouslyexperienced state. - adjective statistics, engineering Of or relating to a process in which
every sequence orsample of sufficient size isequally representative of the whole.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- adjective positive recurrent aperiodic state of stochastic systems; tending in probability to a limiting form that is independent of the initial conditions
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
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Examples
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The Ehrenfests (1912) paper was the first to recognize these questions, and to provide a partial answer: Assuming a certain hypothesis of Boltzmann's, which they dubbed the ergodic hypothesis, they pointed out that for an isolated system the micro-canonical distribution is the unique stationary probability distribution.
Boltzmann's Work in Statistical Physics Uffink, Jos 2004
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That this was so became known as the ergodic hypothesis.
Philosophy of Statistical Mechanics Sklar, Lawrence 2009
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A good proof is a key that can unlock understanding, but this proof was long and complicated and used a difficult branch of math called ergodic theory.
Latest Science News Features, Blog Entries, Column Entries, Issues, Articles and Book Reviews 2009
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A good proof is a key that can unlock understanding, but this proof was long and complicated and used a difficult branch of math called ergodic theory.
Latest Science News Features, Blog Entries, Column Entries, Issues, Articles and Book Reviews 2009
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Paul Samuelson once went so far as to argue that economics must surrender its pretensions to science if it cannot assume the economy is "ergodic", which is a fancy way of saying that Fortune's wheel will spin tomorrow much as it did today (and that tomorrow's turn of the wheel is independent of today's).
Knowledge Problem 2009
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It is my understanding that not only are the planetary orbits chaotic, they are non-ergodic too.
Initial value vs. boundary value problems | Serendipity 2010
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Borrowing from J-Horror films like Ring (1998) and Pulse (2001) as well as ergodic works such as Danieleweski's House of Leaves (2000) it uses emails, blog posts, chat logs, press releases and transcribed interviews to tell the story of a baroquely shot 1920s snuff film that manages to escape its original medium.
REVIEW: The Best Horror Of The Year, Volume 2 edited by Ellen Datlow 2010
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One approach to deriving the kinetic equations relies upon work which generalizes ergodic theory.
Philosophy of Statistical Mechanics Sklar, Lawrence 2009
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The mathematical discipline of ergodic theory developed out of these early ideas.
Philosophy of Statistical Mechanics Sklar, Lawrence 2009
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But what makes you think that the consequences of the shorter timescales are ergodic?
bilby commented on the word ergodic
It's almost disturbing that there are people in the world who require a word for 'positive recurrent aperiodic state of stochastic systems'.
August 21, 2008
milosrdenstvi commented on the word ergodic
Probably from Greek ergos work, and thus related to ergatic.
August 21, 2008
qroqqa commented on the word ergodic
Indeed, from erg- "work" + hod- "path", and adapted from the German Ergoden coined in a somewhat different sense by Boltzmann (1884).
August 21, 2008
seanahan commented on the word ergodic
I've actually studied what would be called ergodic systems, although that term wasn't use very often.
August 22, 2008