Teoria ergodyczna - seminarium

Wydział Matematyki Politechniki Wrocławskiej

Ergodic Theory Seminar

Faculty of Pure and Applied Mathematics
Wrocław University of Science and Technology


Termin i miejsce/Time and place

Prowadzący/Hosts

Stali uczestnicy/Regular participants

Nadchodzące wystąpienia/Upcoming talks

Data/Date Prelegent/Speaker Temat/Topic
11.01.2024 Marek Kryspin Oseledets Decomposition on Sub semiflows - part 2
Abstract:
The topic of Oseledets decomposition will be discussed, in particular the conditions under which it is possible to transfer the Oseledets splitting of a Banach space into continuously embedded subspaces of the former. The subject matter is a natural issue related to the phase space (initial conditions space) decomposition in differential equations with or without delay. Such a decomposition provides a complete characterisation of the Lyapunov exponents that govern the dynamics of the system.

Poprzednie wystąpienia/Past talks

Data/Date Prelegent/Speaker Temat/Topic
11.01.2024 Marek Kryspin Oseledets Decomposition on Sub semiflows
Abstract:
The topic of Oseledets decomposition will be discussed, in particular the conditions under which it is possible to transfer the Oseledets splitting of a Banach space into continuously embedded subspaces of the former. The subject matter is a natural issue related to the phase space (initial conditions space) decomposition in differential equations with or without delay. Such a decomposition provides a complete characterisation of the Lyapunov exponents that govern the dynamics of the system.
14.12.2023 Sebastian Kopacz Uniquely ergodic quasitilings of amenable groups - pt. 4
Abstract
30.11.2023 Sebastian Kopacz Uniquely ergodic quasitilings of amenable groups - pt. 3
Abstract
Recording
23.11.2023 Sebastian Kopacz Uniquely ergodic quasitilings of amenable groups - pt. 2
Abstract
Recording
16.11.2023 Sebastian Kopacz Uniquely ergodic quasitilings of amenable groups
Abstract:
For a countable amenable group $G$ we prove the existence of a uniquely ergodic, zero entropy quasitiling of $G$, whose tiles have arbitrarily good invariance properties. This improves the quasitiling construction of Downarowicz, Huczek and Zhang by adding unique ergodicity.
Recording
19.10.2023
(room A.1.14, building C-19)
Tomasz Downarowicz Topological normality preservation by addition
Abstract:
In this lecture, inaugural for the seminar in the academic year 2023/2024, I will present something perhaps interesting, very natural and - above all - easy to follow, namely, a surprising answer to the question given below:
A symbolic sequence $x$ over a finite alphabet $A= \{0,1,2,...,r-1\}$ is called topologically normal if it is transitive in the full shift over A. In the shift space we introduce coordinatewise addition modulo $r$. What sequences $y$ over $A$ have the property that $x + y$ is topologically normal for every topologically normal sequence $x$? The answer is surprising, because it involves a new class of sequences that presumably none of us has ever heard about before.

Wystąpienia w poprzednich latach (talks in previous years)