Results 31 to 40 of about 351,055 (263)

Predictability, entropy and information of infinite transformations

, 2009
We show that a certain type of quasi finite, conservative, ergodic, measure preserving transformation always has a maximal zero entropy factor, generated by predictable sets.
Aaronson, Jon, Park, Kyewon Koh
core   +1 more source

On orbits under ergodic measure-preserving transformations [PDF]

Transactions of the American Mathematical Society, 1965
Let \(I\) be the unit interval with Lebesgue measure and let \(T\) be a 1-1 measure-preserving ergodic transformation mapping \(I\) onto \(I\). Intuitively one feels that the orbit \(\{T^nx\}\) of a ``general'' point \(x\in I\) should somehow determine \(T\). This notion is made precise in this paper.
openaire   +2 more sources

Ergodicity and Conservativity of products of infinite transformations and their inverses

, 2015
We construct a class of rank-one infinite measure-preserving transformations such that for each transformation $T$ in the class, the cartesian product $T\times T$ of the transformation with itself is ergodic, but the product $T\times T^{-1}$ of the ...
Clancy, Julien, Friedberg, Rina, Kasmalkar, Indraneel, Loh, Isaac, Pădurariu, Tudor, Silva, Cesar E., Vasudevan, Sahana   +6 more
core   +1 more source

Degree of recurrence of generic diffeomorphisms

Discrete Analysis, 2019
Degree of recurrence of generic diffeomorphisms, Discrete Analysis 2019:1, 43 pp. The theory of discrete-time dynamical systems concerns iterations of maps $f:X\to X$, where $X$ is a space of some kind (e.g.
Pierre-Antoine Guihéneuf
doaj   +1 more source

Invariant measures for Cartesian powers of Chacon infinite transformation

, 2017
We describe all boundedly finite measures which are invariant by Cartesian powers of an infinite measure preserving version of Chacon transformation. All such ergodic measures are products of so-called diagonal measures, which are measures generalizing ...
De La Rue, Thierry, Janvresse, Elise, Roy, Emmanuel   +2 more
core   +3 more sources

Correlation-maximizing surrogate gene space for visual mining of gene expression patterns in developing barley endosperm tissue

BMC Bioinformatics, 2007
Background Micro- and macroarray technologies help acquire thousands of gene expression patterns covering important biological processes during plant ontogeny.
Usadel Björn, Sreenivasulu Nese, Strickert Marc, Seiffert Udo   +3 more
doaj   +1 more source

Limit theorems for von Mises statistics of a measure preserving transformation

, 2014
For a measure preserving transformation $T$ of a probability space $(X,\mathcal F,\mu)$ we investigate almost sure and distributional convergence of random variables of the form $$x \to \frac{1}{C_n} \sum_ ...
A Leucht, A Leucht, A Leucht, AA Filippova, B Babbel, DL Burkholder, EB Dynkin, G Neuhaus, GK Eagleson, H Dehling, H Dehling, IA Ibragimov, IA Ibragimov, J Aaronson, M Denker, M Denker, MA Arcones, Manfred Denker, Mikhail Gordin, N Dunford, N Maigret, P Billingsley, P Grassberger, P Halmos, P Major, R Mises von, RA Ryan, RC Bradley, VA Rohlin, W Hoeffding, YuA Davydov   +30 more
core   +1 more source

Fact vs. Affect in the Telephone Game: All Levels of Surprise Are Retold With High Accuracy, Even Independently of Facts

Frontiers in Psychology, 2018
When people retell stories, what guides their retelling? Most previous research on story retelling and story comprehension has focused on information accuracy as the key measure of stability in transmission.
Fritz Breithaupt, Fritz Breithaupt, Binyan Li, Binyan Li, Torrin M. Liddell, Eleanor B. Schille-Hudson, Eleanor B. Schille-Hudson, Sarah Whaley   +7 more
doaj   +1 more source

Enteropathogenic E. coli shows delayed attachment and host response in human jejunum organoid‐derived monolayers compared to HeLa cells

FEBS Letters, EarlyView.
Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi, Pilar Samperio Ventayol, Natalie Burkard, Nicolas Schlegel, Carmen Aguilar, Sina Bartfeld   +5 more
wiley   +1 more source

Independence and Alpern Multitowers

, 2018
Let $T$ be any invertible, ergodic, aperiodic measure-preserving transformation of a Lebesgue probability space $(X, \calB, \mu)$, and \P\, any finite measurable partition of $X$.
Campbell, James T., McCutcheon, Randall, Windsor, Alistair   +2 more
core   +1 more source