UBE2O is localized in the 17q25 locus, which is known to be amplified in human cancers, but its role in tumorigenesis remains undefined. Here we show that Ube2o deletion in MMTV-PyVT or Tramp mice profoundly impairs tumor initiation, growth…
We consider Bratteli diagrams of finite rank (not necessarily simple) and ergodic invariant measures with respect to the cofinal equivalence relation on their path spaces. It is shown that every ergodic invariant measure (finite or
Bratteli-Vershik models have been very successfully applied to the study of various dynamical systems, in particular, in Cantor dynamics. In this paper, we study dynamics on the path spaces of generalized Bratteli diagrams that form models…
Abstract. Digital PCR (dPCR) has developed considerably since the publication of the Minimum Information for Publication of Digital PCR Experiments (Dmiqe)
This paper is a survey devoted to the study of probability and infinite ergodic invariant measures for aperiodic homeomorphisms of a Cantor set. We focus mostly on the cases when a homeomorphism has either a unique ergodic invariant measure…
What explains the significance of Bratteli diagrams in invariant measure study?Bratteli diagrams facilitate the computation of invariant measures, as they clarify properties and structures of transformations, making their analysis more transparent compared to direct study of Cantor systems.How are extreme points of M(X,φ) characterized?The set E(X,φ) of extreme points consists of ergodic measures, and can have cardinality of any positive integer, denoted by k, or be countably infinite or continuum, as detailed in ergodic theory.What conditions determine unique ergodicity in Cantor systems?Unique ergodicity occurs when the cardinality of ergodic measures |E(X,φ)| equals 1, which can be analyzed via properties of stochastic incidence matrices associated with Bratteli diagrams.