Isometric extensions and multiple recurrence of infinite measure preserving systems

2004 ◽  
Vol 140 (1) ◽  
pp. 245-252 ◽  
Author(s):  
Kokoro Inoue
1998 ◽  
Vol 108 (1) ◽  
pp. 37-44 ◽  
Author(s):  
Stanley Eigen ◽  
Arshag Hajian ◽  
Kim Halverson

2016 ◽  
Vol 37 (5) ◽  
pp. 1345-1368 ◽  
Author(s):  
JON AARONSON ◽  
HITOSHI NAKADA

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.


2018 ◽  
Vol 2018 (1) ◽  
pp. 35-46
Author(s):  
Vladimir Chilin ◽  
◽  
Aleksandr Veksler ◽  

2012 ◽  
Vol 12 (03) ◽  
pp. 1150023 ◽  
Author(s):  
YURI KIFER

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).


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

2011 ◽  
Vol 35 (3) ◽  
pp. 178-180 ◽  
Author(s):  
Husrev Diktas ◽  
Selami Cakmak ◽  
Vedat Turhan ◽  
Ali Kantemir ◽  
Bulent Gulec ◽  
...  

Author(s):  
J. Rosenblatt

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


Sign in / Sign up

Export Citation Format

Share Document