# Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory

## Thermodynamic Formalism for B-free Dynamical Systems

Abstract: Given $B \subset N$, we consider the corresponding set $*F*B$ of $B$-free integers, i.e. *$n \in** F*B i_ no *b \in** *B$ divides *$n$*. We $de_{ne} *X \eta*_}$ the B-free subshift _ as the smallest subshift containing *$\eta *:= **1***F*B \in* {*0*, *1*}*Z$. Such systems are interesting both from the dynamical and number theoretical viewpoint and can manifest various types of behavior. I will concentrate on the entropy and its generalization _ topological pressure, with some applications in combinatorics / number theory. Talk will be based on a joint work with Michael Lemanczyk and Michael Rams.

### Date & Time

March 01, 2023 | 10:00am – 11:00am

### Location

Simonyi Hall 101 and Remote Access### Speakers

Joana Kulaga-Przymus

### Affiliation

Uniwersytet Mikołaja Kopernika