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Meaning of "ergodicity" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF ERGODICITY

ergodicity  [ˌɜːɡəˈdɪsɪtɪ] play
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GRAMMATICAL CATEGORY OF ERGODICITY

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Ergodicity is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES ERGODICITY MEAN IN ENGLISH?

Ergodicity

In mathematics, the term ergodic is used to describe a dynamical system which, broadly speaking, has the same behavior averaged over time as averaged over the space of all the system's states. In physics the term is used to imply that a system satisfies the ergodic hypothesis of thermodynamics. In statistics, the term describes a random process for which the time average of one sequence of events is the same as the ensemble average. In other words, for a Markov chain, as one increases the steps, there exists a positive probability measure at step that is independent of probability distribution at initial step 0.

Definition of ergodicity in the English dictionary

The definition of ergodicity in the dictionary is the state of being ergodic.

WORDS THAT RHYME WITH ERGODICITY


aperiodicity
ˌeɪpɪərɪəˈdɪsɪtɪ
authenticity
ˌɔːθɛnˈtɪsɪtɪ
cytotoxicity
ˌsaɪtəʊtɒkˈsɪsɪtɪ
elasticity
ɪlæˈstɪsɪtɪ
electricity
ɪlɛkˈtrɪsɪtɪ
ethnicity
ɛθˈnɪsɪtɪ
felicity
fɪˈlɪsɪtɪ
impudicity
ˌɪmpjʊˈdɪsɪtɪ
mendicity
menˈdɪsɪtɪ
multiplicity
ˌmʌltɪˈplɪsɪtɪ
periodicity
ˌpɪərɪəˈdɪsɪtɪ
plasticity
plæˈstɪsɪtɪ
publicity
pʌˈblɪsɪtɪ
pudicity
pjuːˈdɪsɪtɪ
simplicity
sɪmˈplɪsɪtɪ
sodicity
ˌsəʊˈdɪsɪtɪ
specificity
ˌspesɪˈfɪsɪtɪ
spheroidicity
ˌsfɪərɔɪˈdɪsɪtɪ
thermoperiodicity
ˌθɜːməʊˌpɪərɪəˈdɪsɪtɪ
toxicity
tɒkˈsɪsɪtɪ

WORDS THAT BEGIN LIKE ERGODICITY

ergo
ergodic
ergogenic
ergogram
ergograph
ergomania
ergomaniac
ergometer
ergometric
ergometry
ergon
ergonomic
ergonomically
ergonomics
ergonomist
ergonovine
ergophobia
ergosterol
ergot
ergotamine

WORDS THAT END LIKE ERGODICITY

antigenicity
basicity
capacity
centricity
chronicity
complicity
concentricity
eccentricity
helicity
historicity
hydroelectricity
hydrophilicity
mains electricity
modulus of elasticity
monotonicity
nephrotoxicity
pathogenicity
static electricity
synchronicity
teratogenicity
viscoelasticity

Synonyms and antonyms of ergodicity in the English dictionary of synonyms

SYNONYMS

Translation of «ergodicity» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF ERGODICITY

Find out the translation of ergodicity to 25 languages with our English multilingual translator.
The translations of ergodicity from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «ergodicity» in English.

Translator English - Chinese

遍历
1,325 millions of speakers

Translator English - Spanish

ergodicidad
570 millions of speakers

English

ergodicity
510 millions of speakers

Translator English - Hindi

ergodicity
380 millions of speakers
ar

Translator English - Arabic

ergodicity
280 millions of speakers

Translator English - Russian

эргодичности
278 millions of speakers

Translator English - Portuguese

ergodicidade
270 millions of speakers

Translator English - Bengali

ergodicity
260 millions of speakers

Translator English - French

ergodicité
220 millions of speakers

Translator English - Malay

Ergodicity
190 millions of speakers

Translator English - German

Ergodizität
180 millions of speakers

Translator English - Japanese

エルゴード性
130 millions of speakers

Translator English - Korean

ergodicity
85 millions of speakers

Translator English - Javanese

Ergodicity
85 millions of speakers
vi

Translator English - Vietnamese

ergodicity
80 millions of speakers

Translator English - Tamil

ergodicity
75 millions of speakers

Translator English - Marathi

एगोडिसिटी
75 millions of speakers

Translator English - Turkish

ergodiklik
70 millions of speakers

Translator English - Italian

ergodicità
65 millions of speakers

Translator English - Polish

ergodyczność
50 millions of speakers

Translator English - Ukrainian

ергодичності
40 millions of speakers

Translator English - Romanian

ergodicity
30 millions of speakers
el

Translator English - Greek

εργοδικότητα
15 millions of speakers
af

Translator English - Afrikaans

ergodisiteit
14 millions of speakers
sv

Translator English - Swedish

ergodicitet
10 millions of speakers
no

Translator English - Norwegian

ergodicity
5 millions of speakers

Trends of use of ergodicity

TRENDS

TENDENCIES OF USE OF THE TERM «ERGODICITY»

The term «ergodicity» is regularly used and occupies the 91.847 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
57
/100
The map shown above gives the frequency of use of the term «ergodicity» in the different countries.
Principal search tendencies and common uses of ergodicity
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «ergodicity».

FREQUENCY OF USE OF THE TERM «ERGODICITY» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «ergodicity» during the past 500 years. Its implementation is based on analysing how often the term «ergodicity» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about ergodicity

EXAMPLES

10 ENGLISH BOOKS RELATING TO «ERGODICITY»

Discover the use of ergodicity in the following bibliographical selection. Books relating to ergodicity and brief extracts from same to provide context of its use in English literature.
1
Ergodicity for Infinite Dimensional Systems
This is the only book on stochastic modelling of infinite dimensional dynamical systems.
G. Da Prato, J. Zabczyk, 1996
2
Stochastic Matrices: Ergodicity Coefficients, and ...
We present two different views of (row) stochastic matrices, which are nonnegative matrices with row sums equal to one.
Teresa Margaret Selee, 2009
3
Ergodicity and Stability of Stochastic Processes
Translated from Russian, this book is an up-to-date account of ergodicity and of the stability of random processes.
A. A. Borovkov, 1998
4
Ergodicity, Stabilization, and Singular Perturbations for ...
"Volume 204, number 960 (fourth of 5 numbers)."
Olivier Alvarez, Martino Bardi, 2010
5
Almost Periodic Type Functions and Ergodicity
This book provides a comprehensive theory of almost periodic type functions with a large number of the applications to differential equations, functional equations and evolution equations.
Zhang Chuanyi, 2012
6
Markov Chains and Invariant Probabilities
In this chapter we introduce the notions of strong ergodicity and uniform ergodicity of MCs. We study how these notions relate to the concept of "stability" of a transition kernel and to the solvability of the Poisson equation (8.2.1). For a MC with a ...
Onesimo Hernandez-Lerma, Jean B. Lasserre, 2003
7
Probability Theory and Statistical Inference: Econometric ...
Second, stationarity and ergodicity, although related as we just stated, are very different concepts. Condition (8.28) which is sufficient for mean ergodicity has nothing to do with stationarity; it is a dependence restriction. Let us now return to the ...
Aris Spanos, 1999
8
Dynamical Systems and Semisimple Groups: An Introduction
By proposition 2.3.1, there is a strictly G-invariant measurable function / that is /zz -almost everywhere equal to /. Therefore / is constant /zz-almost everywhere, by the definition of ergodicity. It follows that / represents an element in HQ n C = {0}.
Renato Feres, 1998
9
On the Ergodicity of Partially Hyperbolic Group Actions
In 1996, Pugh and Shub conjectured that stable ergodicity is Ck-open and dense in the space of Ck, volume-preserving, partially hyperbolic diffeomorphisms.
Kalman M. Nanes, 2009
10
Structure and Randomness: Pages from Year One of a ...
unique ergodicity would say the same thing but dropping the "absolutely continuous" . However, each vertical bouncing ball mode creates a singular invariant ensemble along that mode, so the stadium is not uniquely ergodic. Now from ...
Terence Tao

10 NEWS ITEMS WHICH INCLUDE THE TERM «ERGODICITY»

Find out what the national and international press are talking about and how the term ergodicity is used in the context of the following news items.
1
Alex Eskin Named Simons Investigator in Mathematics
Eskin's research deals with a longstanding problem related to ergodicity or randomness. An example would be the dynamics of a billiard ball ... «Newswise, Oct 14»
2
New Nano3 microscope will allow high-resolution look inside cells
... adds that another benefit of cryo-electron microscopy is the ability to infer cellular dynamics over time, "or what we call in physics 'ergodicity. «Phys.Org, Aug 14»
3
Maybe time's arrow needs ergodicity as well as entropy
If you take 10 cards, numbered 1 through 10, and arrange a system for swapping any two cards at random over and over again, every single ... «Science News, Apr 14»
4
Billiard table chaos wins $1 million maths prize
It turns out this model reproduces many of the properties of a more complex gas, including one called ergodicity, which roughly means that a ... «New Scientist, Mar 14»
5
How to Control Your Dragons
Such visits (and hence bubbling events) are expected because of the ergodicity of chaotic attractors, according to which typical orbits of an ... «Physics, Nov 13»
6
Student shows 2013: UCA Canterbury School of Architecture
Standout units The diploma show took centre stage, and was dominated by John Bell's studio 'Ergodicity' which explores high-density, ... «Architects' Journal, Jul 13»
7
Why we underestimate risk by omitting time factor
Well, the assumption of the equality of these different averages—technically known as the assumption of ergodicity—is considered a given by ... «Livemint, Jul 13»
8
Architecture student shows 2013: UCA Canterbury School of …
In Diploma school 'Ergodicity' has been looking at high density high rise urbanism and collaborated with students in Tokyo,'SYN City' . «Building Design, Jun 13»
9
Guest comments on GCM's and Global Warming from Prof Robert G …
... envelope of their predictions (which were themselves averages over ensembles of starting conditions, presuming some sort of ergodicity that ... «Science 2.0, Jun 13»
10
Man of mathematics
To the seasoned academic, the Quantum Unique Ergodicity Conjecture might sound like more of a physics problem. In fact, quantum ergodicity ... «The Stanford Daily, Feb 12»

REFERENCE
« EDUCALINGO. Ergodicity [online]. Available <https://educalingo.com/en/dic-en/ergodicity>. Apr 2024 ».
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