S-adic conjecture and Bratteli diagrams
نویسندگان
چکیده
منابع مشابه
Cohomology of Ordered Bratteli Diagrams
Given a simple ordered Bratteli diagram, B, with multiple maximal paths and minimal paths, and the Natural Extension system (X; T) generated by this diagram, there is a compact topological graph G which gives the following exact sequence:
متن کاملInvariant Measures on Stationary Bratteli Diagrams
We study dynamical systems acting on the path space of a stationary (non-simple) Bratteli diagram. For such systems we explicitly describe all ergodic probability measures invariant with respect to the tail equivalence relation (or the Vershik map). These measures are completely described by the incidence matrix of the diagram. Since such diagrams correspond to substitution dynamical systems, t...
متن کاملBratteli-Vershik adic representations of some one-sided substitution subshifts
We study one-sided substitution subshifts, and how they can be respresented using BratteliVershik systems. In particular we focus on minimal recognizable substitutions such that the generated one-sided substitution subshift contains only one non-shift-invertible element (branch point), and we call these substitutions quasi-invertible. We characterise these substitutions, and show that if the su...
متن کاملFinite Rank Bratteli Diagrams and their Invariant Measures
In this paper we study ergodic measures on non-simple Bratteli diagrams of finite rank that are invariant with respect to the cofinal equivalence relation. We describe the structure of finite rank diagrams and prove that every ergodic invariant measure (finite or infinite) is an extension of a finite ergodic measure defined on a simple subdiagram. We find some algebraic criteria in terms of ent...
متن کاملLUBIN ’ S CONJECTURE FOR FULL p - ADIC DYNAMICAL SYSTEMS by
— We give a short proof of a conjecture of Lubin concerning certain families of p-adic power series that commute under composition. We prove that if the family is full (large enough), there exists a Lubin-Tate formal group such that all the power series in the family are endomorphisms of this group. The proof uses ramification theory and some p-adic Hodge theory.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2012
ISSN: 1631-073X
DOI: 10.1016/j.crma.2012.10.015