Dr Maik Gröger

I'm an assistant professor at the Institute of Mathematics of the Jagiellonian University in Kraków. Beforehand, I was a postdoc in the ergodic theory and dynamical systems research groups at the University of Vienna and University of Jena. I did my PhD in the Dynamical Systems and Geometry Research Group at the University of Bremen.

Currently, I'm the principal investigator of the POLS project DynComp which is running from 2021 to 2023 and is funded by the Norway Grants via the National Science Center (NCN) of Poland. In the past, my research was also funded by the grant GR 4899/1-1 from the German Research Foundation (DFG).

with G. Fuhrmann
and D. Lenz,
Israel J. Math. 247:75-123 (2022)

with M. Keßeböhmer
and J. Jaerisch,
Nonlinearity 35(2):1093-1118 (2022)

with G. Fuhrmann
and A. Passeggi,
Nonlinearity 34(3):1366-1388 (2021)

with O. Lukina,
Discrete Contin. Dyn. Syst. - A 41(5):2001-2029 (2021)

with G. Fuhrmann,
Math. Z. 295:1385-1404 (2020)

with M. Keßeböhmer,
A. Mosbach,
T. Samuel and
M. Steffens,
Ergodic Theory Dyn. Syst. 39(11):3031-3065 (2019)

with G. Fuhrmann
and T. Jäger,
Ergodic Theory Dyn. Syst. 38(8):2989-3011 (2018)

with T. Jäger,
Dynamics and Numbers, Contemp. Math. 669:105-122 (2016)

with G. Fuhrmann
and T. Jäger,
Nonlinearity 29(2):528-565 (2016)

with B. Hunt,
Nonlinearity 26(9):2641-2667 (2013)

with T. Jäger,
Commun. Math. Phys. 320(1):101-119 (2013)

Kraków's Recurrence 2022 - kick-off meeting JU Dynamical Systems Seminar

Thermodynamic formalism - Applications to geometry and number theory - in memory of Bernd O. Stratmann

organized with
K. Falk,
T. Samuel,
M. Keßeböhmer,
S. Munday and
S. Kombrink
(10-12 July 2017, Bremen, Germany)

Workshop on Fractals, Dynamics and Quasicrystals

1st Bremen Winter School on Multifractals and Number Theory

Workshop on Skew Product Dynamics and Multifractal Analysis

Ergodic Theory I

teaching assistant for problem class (Jagiellonian University, winter term 2020/2021)

Smooth Dynamical Systems

teaching assistant for problem class (Jagiellonian University, winter term 2020/2021)

Use of English in Mathematics

group leader of 2 seminars (Jagiellonian University, winter term 2020/2021)

Ergodentheorie II

lecturer together with R. Zweimüller (University of Vienna, summer term 2019)

Analysis 3

teaching assistant for 2 problem classes (University of Bremen, winter term 2011/2012)

The POLS project **Dynamical complexity and pseudometrics (DynComp)** is running from 2021 to 2023 and is funded by the Norway Grants via the National Science Center (NCN) of Poland.
The webpage of the project can be found here.

Scope of the project

A central goal of topological dynamics and ergodic theory is the classification of dynamical systems up
to an appropriate notion of isomorphisms. Dynamically defined pseudometrics turn out to be an essential
tool to achieve this task. Moreover, they can induce interesting dynamical invariants reflecting
certain long-term behavior and complexity of a system.
The aim of this project is to extend our understanding of dynamically defined pseudometrics for
continuous actions of topological groups and to examine the corresponding complexity notions which
they induce. Hereby, we are particularly interested in systems exhibiting low complexity
behaviour (in the sense that they have zero entropy whenever the acting group allows for
establishing a reasonable entropy theory).
Prominent examples belonging to this class are systems which are defined by finitely many local rules and
point set dynamical systems associated to regular model sets.
Here, primary examples come from the theory of aperiodic order which provide mathematical models for
quasicrystals.

Address

Faculty of Mathematics and Computer Science

Jagiellonian University

ul. Prof. S. Łojasiewicza 6

30-348 Kraków, Poland

Jagiellonian University

ul. Prof. S. Łojasiewicza 6

30-348 Kraków, Poland

Office

Room 2012

Phone

+48 12 664 76 39

Email