Log in

Relevant bibliographies by topics / Ergodic theory / Journal articles

Journal articles on the topic 'Ergodic theory'

To see the other types of publications on this topic, follow the link: Ergodic theory.

Author: Grafiati

Published: 4 June 2021

Last updated: 29 July 2024

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Ergodic theory.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Gray, R. M. "Ergodic theory." Proceedings of the IEEE 74, no. 2 (1986): 380. http://dx.doi.org/10.1109/proc.1986.13473.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Kida, Yoshikata. "Ergodic group theory." Sugaku Expositions 35, no. 1 (April 7, 2022): 103–26. http://dx.doi.org/10.1090/suga/470.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Moore, Calvin C. "Ergodic theorem, ergodic theory, and statistical mechanics." Proceedings of the National Academy of Sciences 112, no. 7 (February 17, 2015): 1907–11. http://dx.doi.org/10.1073/pnas.1421798112.

Full text

Abstract:

This perspective highlights the mean ergodic theorem established by John von Neumann and the pointwise ergodic theorem established by George Birkhoff, proofs of which were published nearly simultaneously in PNAS in 1931 and 1932. These theorems were of great significance both in mathematics and in statistical mechanics. In statistical mechanics they provided a key insight into a 60-y-old fundamental problem of the subject—namely, the rationale for the hypothesis that time averages can be set equal to phase averages. The evolution of this problem is traced from the origins of statistical mechanics and Boltzman's ergodic hypothesis to the Ehrenfests' quasi-ergodic hypothesis, and then to the ergodic theorems. We discuss communications between von Neumann and Birkhoff in the Fall of 1931 leading up to the publication of these papers and related issues of priority. These ergodic theorems initiated a new field of mathematical-research called ergodic theory that has thrived ever since, and we discuss some of recent developments in ergodic theory that are relevant for statistical mechanics.

APA, Harvard, Vancouver, ISO, and other styles

4

JONES, ROGER L., ROBERT KAUFMAN, JOSEPH M. ROSENBLATT, and MÁTÉ WIERDL. "Oscillation in ergodic theory." Ergodic Theory and Dynamical Systems 18, no. 4 (August 1998): 889–935. http://dx.doi.org/10.1017/s0143385798108349.

Full text

Abstract:

In this paper we establish a variety of square function inequalities and study other operators which measure the oscillation of a sequence of ergodic averages. These results imply the pointwise ergodic theorem and give additional information such as control of the number of upcrossings of the ergodic averages. Related results for differentiation and for the connection between differentiation operators and the dyadic martingale are also established.

APA, Harvard, Vancouver, ISO, and other styles

5

Boyd, David W., Karma Dajani, and Cor Kraaikamp. "Ergodic Theory of Numbers." American Mathematical Monthly 111, no. 7 (August 2004): 633. http://dx.doi.org/10.2307/4145181.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Walters, Peter. "TOPICS IN ERGODIC THEORY." Bulletin of the London Mathematical Society 28, no. 2 (March 1996): 221–23. http://dx.doi.org/10.1112/blms/28.2.221.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Sinai, Ya G., and Barry Simon. "Topics in Ergodic Theory." Physics Today 47, no. 10 (October 1994): 74–75. http://dx.doi.org/10.1063/1.2808677.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Barnes, Julie, Lorelei Koss, and Rachel Rossetti. "The Ergodic Theory Café." Math Horizons 26, no. 3 (December 28, 2018): 5–9. http://dx.doi.org/10.1080/10724117.2018.1518099.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Kozlov, V. V. "Coarsening in ergodic theory." Russian Journal of Mathematical Physics 22, no. 2 (April 2015): 184–87. http://dx.doi.org/10.1134/s1061920815020053.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Jones, Roger L., Joseph M. Rosenblatt, and Máté Wierdl. "Counting in Ergodic Theory." Canadian Journal of Mathematics 51, no. 5 (October 1, 1999): 996–1019. http://dx.doi.org/10.4153/cjm-1999-044-2.

Full text

Abstract:

AbstractMany aspects of the behavior of averages in ergodic theory are a matter of counting the number of times a particular event occurs. This theme is pursued in this article where we consider large deviations, square functions, jump inequalities and related topics.

APA, Harvard, Vancouver, ISO, and other styles

11

Barnes, Julia, and Lorelei Koss. "The Ergodic Theory Carnival." Mathematics Magazine 83, no. 3 (June 2010): 180–90. http://dx.doi.org/10.4169/002557010x494823.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Qi, Weiwei, Zhongwei Shen, Shirou Wang, and Yingfei Yi. "Towards mesoscopic ergodic theory." Science China Mathematics 63, no. 9 (August 6, 2020): 1853–76. http://dx.doi.org/10.1007/s11425-019-1642-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Fivaz, Roland. "Ergodic theory of communication." Systems Research 13, no. 2 (June 1996): 127–44. http://dx.doi.org/10.1002/(sici)1099-1735(199606)13:2<127::aid-sres67>3.0.co;2-q.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Biswas, HR, and MS Islam. "Ergodic theory of one dimensional Map." Bangladesh Journal of Scientific and Industrial Research 47, no. 3 (December 21, 2012): 321–26. http://dx.doi.org/10.3329/bjsir.v47i3.13067.

Full text

Abstract:

In this paper we study one dimensional linear and non-linear maps and its dynamical behavior. We study measure theoretical dynamical behavior of the maps. We study ergodic measure and Birkhoff ergodic theorem. Also, we study some problems using Birkhoff's ergodic theorem. DOI: http://dx.doi.org/10.3329/bjsir.v47i3.13067 Bangladesh J. Sci. Ind. Res. 47(3), 321-326 2012

APA, Harvard, Vancouver, ISO, and other styles

15

ROY, EMMANUEL. "Poisson suspensions and infinite ergodic theory." Ergodic Theory and Dynamical Systems 29, no. 2 (April 2009): 667–83. http://dx.doi.org/10.1017/s0143385708080279.

Full text

Abstract:

AbstractWe investigate the ergodic theory of Poisson suspensions. In the process, we establish close connections between finite and infinite measure-preserving ergodic theory. Poisson suspensions thus provide a new approach to infinite-measure ergodic theory. Fields investigated here are mixing properties, spectral theory, joinings. We also compare Poisson suspensions to the apparently similar looking Gaussian dynamical systems.

APA, Harvard, Vancouver, ISO, and other styles

16

Ellis, Robert. "Topological dynamics and ergodic theory." Ergodic Theory and Dynamical Systems 7, no. 1 (March 1987): 25–47. http://dx.doi.org/10.1017/s0143385700003795.

Full text

Abstract:

AbstractIt is shown that when viewed properly some concepts in topological dynamics and ergodic theory are not merely analogous but equivalent. Also the Mackey-Halmos-von Neumann theorem on ergodic processes with discrete spectrum is generalized and an account of the Mackey-Zimmer theory of minimal cocycles is given in a more general setting.

APA, Harvard, Vancouver, ISO, and other styles

17

Mitkowski, Paweł, and Wojciech Mitkowski. "Ergodic theory approach to chaos: Remarks and computational aspects." International Journal of Applied Mathematics and Computer Science 22, no. 2 (June 1, 2012): 259–67. http://dx.doi.org/10.2478/v10006-012-0019-4.

Full text

Abstract:

Ergodic theory approach to chaos: Remarks and computational aspectsWe discuss basic notions of the ergodic theory approach to chaos. Based on simple examples we show some characteristic features of ergodic and mixing behaviour. Then we investigate an infinite dimensional model (delay differential equation) of erythropoiesis (red blood cell production process) formulated by Lasota. We show its computational analysis on the previously presented theory and examples. Our calculations suggest that the infinite dimensional model considered possesses an attractor of a nonsimple structure, supporting an invariant mixing measure. This observation verifies Lasota's conjecture concerning nontrivial ergodic properties of the model.

APA, Harvard, Vancouver, ISO, and other styles

18

Yuzvinsky, Sergey. "Rokhlin's School in ergodic theory." Ergodic Theory and Dynamical Systems 9, no. 4 (December 1989): 609–18. http://dx.doi.org/10.1017/s0143385700005241.

Full text

Abstract:

Ergodic theory is one of several fields of mathematics where the name Vladimir Abramovich Rokhlin (spelled also ‘Rochlin’ and ‘Rohlin’) is well known to the specialists. That name is attached to some very often used theorems, but the goal of this paper is not just to remind the reader of these theorems. I put them in the context of the general development of ergodic theory during the thirty years 1940–70. Most of all, I want to emphasize that Rokhlin was not only a researcher producing powerful results but also a founder of schools at the two best Universities in the USSR. For at least 10 years (1958–68) these schools dominated ergodic theory. This paper is not biographical. Rokhlin's life certainly deserves a better biographer. However, I mention certain circumstances of a non-mathematical nature where it seems to be appropriate.

APA, Harvard, Vancouver, ISO, and other styles

19

Bergelson, Vitaly, Nikos Frantzikinakis, Terence Tao, and Tamar Ziegler. "Arbeitsgemeinschaft: Ergodic Theory and Combinatorial Number Theory." Oberwolfach Reports 9, no. 4 (2012): 2985–3059. http://dx.doi.org/10.4171/owr/2012/50.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Ammari, Habib, Liliana Borcea, Thorsten Hohage, and Barbara Kaltenbacher. "Arbeitsgemeinschaft: Ergodic Theory and Combinatorial Number Theory." Oberwolfach Reports 9, no. 4 (2012): 3061–127. http://dx.doi.org/10.4171/owr/2012/51.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Svitek, Miroslav. "Wave probabilistic functions, entanglement and quasi-non-ergodic models." ECTI Transactions on Electrical Engineering, Electronics, and Communications 7, no. 2 (December 26, 2008): 55–62. http://dx.doi.org/10.37936/ecti-eec.200972.171892.

Full text

Abstract:

The paper presents the theory of wave probabilistic models together with their important features like inclusion-exclusion rule, product rule and entanglement. These features are athematically described and the illustrative example is shown to demonstrate the possible applications of the theory. The presented theory can be also applied for modeling of quasi-non-ergodic probabilistic systems. First of all we show the new methodology on binary non-ergodic time series. The theory is extended into M-dimensional non-ergodic n-valued systems with linear ergodicity evolution that are called quasi-on-ergodic probabilistic systems.

APA, Harvard, Vancouver, ISO, and other styles

22

Johansson, Anders, Anders Öberg, and Mark Pollicott. "Ergodic theory of Kusuoka measures." Journal of Fractal Geometry 4, no. 2 (2017): 185–214. http://dx.doi.org/10.4171/jfg/49.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

O'Malley. "Ergodic Theory and First Returns." Real Analysis Exchange 17, no. 1 (1991): 63. http://dx.doi.org/10.2307/44152185.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

ORNSTEIN, D. S. "Ergodic Theory, Randomness, and "Chaos"." Science 243, no. 4888 (January 13, 1989): 182–87. http://dx.doi.org/10.1126/science.243.4888.182.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Weiss, Benjamin. "ALGEBRAIC IDEAS IN ERGODIC THEORY." Bulletin of the London Mathematical Society 24, no. 5 (September 1992): 505. http://dx.doi.org/10.1112/blms/24.5.505.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Kitchens, Bruce. "Book Review: Computational ergodic theory." Bulletin of the American Mathematical Society 44, no. 01 (October 2, 2006): 147–56. http://dx.doi.org/10.1090/s0273-0979-06-01120-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Feldman, Jack. "Book Review: Basic ergodic theory." Bulletin of the American Mathematical Society 33, no. 03 (July 1, 1996): 345–47. http://dx.doi.org/10.1090/s0273-0979-96-00659-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Ruelle, D. "Ergodic Aspects of Turbulence Theory." Physica Scripta T9 (January 1, 1985): 147–50. http://dx.doi.org/10.1088/0031-8949/1985/t9/024.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Runde, Volker, and Ami Viselter. "Ergodic theory for quantum semigroups." Journal of the London Mathematical Society 89, no. 3 (April 25, 2014): 941–59. http://dx.doi.org/10.1112/jlms/jdu015.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Anosov, D. V. "Spectral multiplicity in ergodic theory." Proceedings of the Steklov Institute of Mathematics 290, S1 (September 15, 2015): 1–44. http://dx.doi.org/10.1134/s0081543815070019.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Kilochytska, Т. V. "Evolution of the Ergodic Theory." Nauka ta naukoznavstvo 4 (2019): 102–15. http://dx.doi.org/10.15407/sofs2019.04.102.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Woś, Janusz. "Approximate Convergence in Ergodic Theory." Proceedings of the London Mathematical Society s3-53, no. 1 (July 1986): 65–84. http://dx.doi.org/10.1112/plms/s3-53.1.65.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

BOYARSKY, ABRAHAM, and PAWEŁ GÓRA. "AN ERGODIC THEORY OF CONSCIOUSNESS." International Journal of Bifurcation and Chaos 19, no. 04 (April 2009): 1397–400. http://dx.doi.org/10.1142/s0218127409023731.

Full text

Abstract:

It has been suggested that the properties of "integration" and "differentiation" are necessary for the emergence of consciousness. We present a dynamical system model that is based on these two conditions. The collection of neurons are partitioned into clusters on which we define a map that reflects the communication between clusters. Such a map displays the forward and backward circuitry between clusters in a probabilistic manner. The presence of "re-entry" guarantees that the map is sufficiently complex, that is, nonlinear and chaotic, to possess numerous invariant sets of clusters, which are referred to as agglomerations. We suggest that an agglomeration that is mixing characterizes a conscious state. The model establishes a theoretical framework that may structure and encourage experimental work.

APA, Harvard, Vancouver, ISO, and other styles

34

Sinai, Ya G. "Kolmogorov's Work on Ergodic Theory." Annals of Probability 17, no. 3 (July 1989): 833–39. http://dx.doi.org/10.1214/aop/1176991249.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Jones, Roger L., Iosif V. Ostrovskii, and Joseph M. Rosenblatt. "Square functions in ergodic theory." Ergodic Theory and Dynamical Systems 16, no. 2 (April 1996): 267–305. http://dx.doi.org/10.1017/s0143385700008816.

Full text

Abstract:

AbstractGiven the usual averages in ergodic theory, let n1 ≤ n2 ≤ … and . There is a strong inequality ‖Sf‖2 ≤ 25‖f‖2 and there is a weak inequality m{Sf > λ} ≤ (7000/λ)‖f‖1. Related results and questions for other variants of this square function are also discussed.

APA, Harvard, Vancouver, ISO, and other styles

36

Rota, Gian-Carlo. "Classification problems in ergodic theory." Advances in Mathematics 56, no. 3 (June 1985): 319. http://dx.doi.org/10.1016/0001-8708(85)90038-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Rota, Gian-Carlo. "Ergodic theory and dynamical systems." Advances in Mathematics 56, no. 3 (June 1985): 319. http://dx.doi.org/10.1016/0001-8708(85)90040-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Rota, Gian-Carlo. "Ergodic theory and related topics." Advances in Mathematics 59, no. 1 (January 1986): 95. http://dx.doi.org/10.1016/0001-8708(86)90042-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Rota, Gian-Carlo. "An introduction to ergodic theory." Advances in Mathematics 59, no. 2 (February 1986): 184. http://dx.doi.org/10.1016/0001-8708(86)90052-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

40

Rota, Gian-Carlo. "Ergodic theory and differentiable dynamics." Advances in Mathematics 80, no. 2 (April 1990): 270. http://dx.doi.org/10.1016/0001-8708(90)90033-j.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

Lin, Dongdai, Tao Shi, and Zifeng Yang. "Ergodic theory over F2〚T〛." Finite Fields and Their Applications 18, no. 3 (May 2012): 473–91. http://dx.doi.org/10.1016/j.ffa.2011.11.001.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Saitô, Nobuhiko. "New concepts in ergodic theory." Vistas in Astronomy 37 (January 1993): 137–39. http://dx.doi.org/10.1016/0083-6656(93)90023-d.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Urbański, Mariusz, and Christian Wolf. "Ergodic Theory of Parabolic Horseshoes." Communications in Mathematical Physics 281, no. 3 (May 15, 2008): 711–51. http://dx.doi.org/10.1007/s00220-008-0498-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Thomine, Damien. "Keplerian shear in ergodic theory." Annales Henri Lebesgue 3 (July 30, 2020): 649–76. http://dx.doi.org/10.5802/ahl.42.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Kieffer, John C., and Y. Kifer. "Ergodic Theory of Random Transformations." Journal of the American Statistical Association 83, no. 402 (June 1988): 563. http://dx.doi.org/10.2307/2288883.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Demir, Sakin. "Logarithmic Summability in Ergodic Theory." Journal of Computer and Mathematical Sciences 9, no. 5 (June 5, 2018): 330–33. http://dx.doi.org/10.29055/jcms/779.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Goldman, William M. "Ergodic Theory on Moduli Spaces." Annals of Mathematics 146, no. 3 (November 1997): 475. http://dx.doi.org/10.2307/2952454.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Parczyk, Krystyna. "Ergodic theory and differentiable dynamics." Reports on Mathematical Physics 28, no. 3 (December 1989): 439–41. http://dx.doi.org/10.1016/0034-4877(89)90074-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Avigad, Jeremy. "The metamathematics of ergodic theory." Annals of Pure and Applied Logic 157, no. 2-3 (February 2009): 64–76. http://dx.doi.org/10.1016/j.apal.2008.09.001.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Chen, Mufa. "Eigenvalues, inequalities and ergodic theory." Chinese Science Bulletin 45, no. 9 (May 2000): 769–74. http://dx.doi.org/10.1007/bf02887400.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!