Results 21 to 30 of about 173,424 (246)
Joint transitivity for linear iterates
Forum of Mathematics, SigmaWe establish sufficient and necessary conditions for the joint transitivity of linear iterates in a minimal topological dynamical system with commuting transformations.
Sebastián Donoso +2 more
doaj +1 more source
Discrete Analysis, 2017 From a packing problem to quantitative recurrence in [0,1] and the Lagrange spectrum of interval exchanges, Discrete Analysis 2017:10, 25 pp. A basic fact in the theory of Diophantine approximation is Dirichlet's theorem that for every real number ...
Michael Boshernitzan, Vincent Delecroix
doaj +1 more source
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 +5 more
wiley +1 more source
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 +6 more
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
Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley +1 more source
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
Approximation Theories for Measure Preserving Transformations [PDF]
Transactions of the American Mathematical Society, 1944 Not ...
openaire +2 more sources
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
FEBS Letters, EarlyView.We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
On Rationally Ergodic and Rationally Weakly Mixing Rank-One Transformations
, 2013 We study the notions of weak rational ergodicity and rational weak mixing as defined by Jon Aaronson. We prove that various families of infinite measure-preserving rank-one transformations possess (or do not posses) these properties, and consider their ...
Bowles +6 more
core +1 more source