Isometric extensions and multiple recurrence of infinite measure preserving systems

2004 ◽  
Vol 140 (1) ◽  
pp. 245-252 ◽  
Author(s):  
Kokoro Inoue
Keyword(s):  
Multiple Recurrence ◽  
Infinite Measure

Multiple recurrence and infinite measure preserving odometers

1998 ◽  
Vol 108 (1) ◽  
pp. 37-44 ◽  
Author(s):  
Stanley Eigen ◽  
Arshag Hajian ◽  
Kim Halverson
Keyword(s):  
Multiple Recurrence ◽  
Infinite Measure

scholarly journals On multiple recurrence and other properties of ‘nice’ infinite measure-preserving transformations

2016 ◽  
Vol 37 (5) ◽  
pp. 1345-1368 ◽  
Author(s):  
JON AARONSON ◽  
HITOSHI NAKADA
Keyword(s):  
Geodesic Flows ◽  
Multiple Recurrence ◽  
Weak Mixing ◽  
Interval Maps ◽  
Infinite Measure ◽  
Markov Shifts ◽  
Measure Preserving Transformations

We discuss multiple versions of rational ergodicity and rational weak mixing for ‘nice’ transformations, including Markov shifts, certain interval maps and hyperbolic geodesic flows. These properties entail multiple recurrence.

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

scholarly journals A NONCONVENTIONAL STRONG LAW OF LARGE NUMBERS AND FRACTAL DIMENSIONS OF SOME MULTIPLE RECURRENCE SETS

2012 ◽  
Vol 12 (03) ◽  
pp. 1150023 ◽  
Author(s):  
YURI KIFER
Keyword(s):  
Law Of Large Numbers ◽  
Fractal Dimensions ◽  
Growth Conditions ◽  
Multiple Recurrence ◽  
Strong Law ◽  
Moment Conditions ◽  
Vector Process ◽  
Regularity Properties ◽  
Large Numbers ◽  
Positive Functions

We provide conditions which yield a strong law of large numbers for expressions of the form [Formula: see text] where X(n), n ≥ 0's is a sufficiently fast mixing vector process with some moment conditions and stationarity properties, F is a continuous function with polinomial growth and certain regularity properties and qi, i > m are positive functions taking on integer values on integers with some growth conditions. Applying these results we study certain multifractal formalism type questions concerning Hausdorff dimensions of some sets of numbers with prescribed asymptotic frequencies of combinations of digits at places q1(n), …, qℓ(n).

scholarly journals On v-positive type transformations in infinite measure

2015 ◽  
Vol 140 (2) ◽  
pp. 149-170
Author(s):  
Tudor Pădurariu ◽  
Cesar E. Silva ◽  
Evangelie Zachos
Keyword(s):  
Positive Type ◽  
Infinite Measure

scholarly journals Hydatid Cyst Presenting with Multiple Recurrence and Pelvic Involvement: Case Report

2011 ◽  
Vol 35 (3) ◽  
pp. 178-180 ◽  
Author(s):  
Husrev Diktas ◽  
Selami Cakmak ◽  
Vedat Turhan ◽  
Ali Kantemir ◽  
Bulent Gulec ◽  
...  
Keyword(s):  
Case Report ◽  
Hydatid Cyst ◽  
Multiple Recurrence

Strongly equivalent invariant measures

1980 ◽  
Vol 88 (1) ◽  
pp. 33-43 ◽  
Author(s):  
J. Rosenblatt
Keyword(s):  
Measure Space ◽  
Positive Measure ◽  
Invariant Measures ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Zero Measure ◽  
Infinite Measure ◽  
Two Measures ◽  
Necessary And Sufficient

AbstractTwo measures are strongly equivalent if they have the same sets of zero measure and the same sets of infinite measure. Given a group G of strongly non-singular measurable transformations of a non-atomic positive measure space (X, β, p), if G is amenable, then a necessary and sufficient condition for there to be a G-invariant positive measure on (X, β) which is strongly equivalent to p is that p(E) > 0 implies inf p(gE) > 0 and also p(E) < ∞ implies

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