Ergodic theorem along a return time sequence

1992 ◽  
pp. 146-152 ◽  
Author(s):  
Emmanuel Lesigne
Keyword(s):  
Ergodic Theorem ◽  
Return Time ◽  
Time Sequence

scholarly journals Linear Sequences and Weighted Ergodic Theorems

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Tanja Eisner
Keyword(s):  
Banach Spaces ◽  
Ergodic Theorem ◽  
Return Time ◽  
Linear Operators ◽  
Full Measure ◽  
Ergodic Theorems ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Time Sequences

We present a simple way to produce good weights for several types of ergodic theorem including the Wiener-Wintner type multiple return time theorem and the multiple polynomial ergodic theorem. These weights are deterministic and come from orbits of certain bounded linear operators on Banach spaces. This extends the known results for nilsequences and return time sequences of the form for a measure preserving system and , avoiding in the latter case the problem of finding the full measure set of appropriate points .

Dynamic Scanning Electron Microscopy of Small Particles

1975 ◽  
Vol 33 ◽  
pp. 280-281
Author(s):  
W. Krakow ◽  
W. C. Nixon
Keyword(s):  
Electron Microscopy ◽  
Low Noise ◽  
Time Sequence ◽  
Field Of View ◽  
Video Tape ◽  
Small Particles ◽  
Polystyrene Spheres ◽  
Field Distributions ◽  
Dynamic Scanning ◽  
Scanning Electron

The scanning electron microscope (SEM) can be run at television scanning rates and used with a video tape recorder to observe dynamic specimen changes. With a conventional tungsten source, a low noise TV image is obtained with a field of view sufficient to cover the area of the specimen to be recorded. Contrast and resolution considerations have been elucidated and many changing specimens have been studied at TV rates.To extend the work on measuring the magnitude of charge and field distributions of small particles in the SEM, we have investigated their motion and electrostatic interaction at TV rates. Fig. 1 shows a time sequence of polystyrene spheres on a conducting grating surface inclined to the microscope axis. In (la) there are four particles present in the field of view, while in (lb) a fifth particle has moved into view.

DHAMMONG : A RAIN RITUAL IN MADURA (A STUDY ON ITS HISTORY, FUNCTION, AND HISTOR ORY SIMBOLIC MEANING)

2020 ◽  
Vol 18 (2) ◽  
pp. 205-227
Author(s):  
Nor Hasan ◽  
Edi Susanto
Keyword(s):  
Human Life ◽  
Phenomenological Analysis ◽  
Dry Season ◽  
Time Sequence ◽  
Symbolic Meaning ◽  
Human Relations ◽  
The Earth ◽  
Younger Generation

This article attempted to trace the existence of Dhâmmong tradition in the following scopes, namely: (1) Madurese perception against Dhâmmong , (2) the function and symbolic meaning of Dhâmmong in human life, and (3) the efforts of the Madurese community to preserve the Dhâmmong tradition. Through a descriptive phenomenological analysis, this study revealed that Dhâmmong is a hereditary tradition carried out by the Madurese community, it is urged by the community’s anxiety caused by the long dry season (némor lanjheng). Dhâmmong functionsas a means for salametan, paying respect for the ancestors, strengthening human relations (silaturrahim ), Bhek Rembhek, and nguri berkah (the fertility of the earth). The offerings and mouth-music by imitating the sounds of animals represent a strong desire and wishof the community for the immediate rainfall that could pour out blessings for the community. Hence, the community’s efforts to preserve Dhâmmong are: (1) introducing and involving the younger generation in the ritual, and (2) setting and changing the time sequence of Dhâmmong implementation from night to daytime.

Mean ergodic theorem in function symmetric spaces for infinite measure

2018 ◽  
Vol 2018 (1) ◽  
pp. 35-46
Author(s):  
Vladimir Chilin ◽  
◽  
Aleksandr Veksler ◽  
Keyword(s):  
Ergodic Theorem ◽  
Symmetric Spaces ◽  
Infinite Measure ◽  
Mean Ergodic Theorem

Probability Theory for Fuzzy Quantum Spaces with Statistical Applications

2017 ◽  
Author(s):  
Renáta Bartková ◽  
Beloslav Riečan ◽  
Anna Tirpáková
Keyword(s):  
Probability Theory ◽  
Fuzzy Sets ◽  
Ergodic Theorem ◽  
Intuitionistic Fuzzy Sets ◽  
Mathematics Students ◽  
Intuitionistic Fuzzy ◽  
Individual Ergodic Theorem ◽  
Recurrence Theorem ◽  
The Individual ◽  
Atanassov Intuitionistic Fuzzy Sets

The reference considers probability theory in two main domains: fuzzy set theory, and quantum models. Readers will learn about the Kolmogorov probability theory and its implications in these two areas. Other topics covered include intuitionistic fuzzy sets (IF-set) limit theorems, individual ergodic theorem and relevant statistical applications (examples from correlation theory and factor analysis in Atanassov intuitionistic fuzzy sets systems, the individual ergodic theorem and the Poincaré recurrence theorem). This book is a useful resource for mathematics students and researchers seeking information about fuzzy sets in quantum spaces.

Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups

2021 ◽  
pp. 1-36
Author(s):  
ARIE LEVIT ◽  
ALEXANDER LUBOTZKY
Keyword(s):  
Ergodic Theorem ◽  
Abelian Groups ◽  
Wreath Products ◽  
Finitely Generated ◽  
Metabelian Groups ◽  
Amenable Groups ◽  
Pointwise Ergodic Theorem ◽  
Lamplighter Group ◽  
Invariant Random Subgroups

Abstract We prove that all invariant random subgroups of the lamplighter group L are co-sofic. It follows that L is permutation stable, providing an example of an infinitely presented such group. Our proof applies more generally to all permutational wreath products of finitely generated abelian groups. We rely on the pointwise ergodic theorem for amenable groups.

Non-singular -actions: an ergodic theorem over rectangles with application to the critical dimensions

2020 ◽  
pp. 1-18
Author(s):  
ANTHONY H. DOOLEY ◽  
KIERAN JARRETT
Keyword(s):  
Ergodic Theorem ◽  
Natural Action ◽  
Critical Dimensions ◽  
Measure Spaces ◽  
Metric Isomorphism

Abstract We adapt techniques developed by Hochman to prove a non-singular ergodic theorem for $\mathbb {Z}^d$ -actions where the sums are over rectangles with side lengths increasing at arbitrary rates, and in particular are not necessarily balls of a norm. This result is applied to show that the critical dimensions with respect to sequences of such rectangles are invariants of metric isomorphism. These invariants are calculated for the natural action of $\mathbb {Z}^d$ on a product of d measure spaces.

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