3 papers
math.PR2024
With Andrzej Lasota there and back again
Ryszard Rudnicki
The paper below is a written version of the 17th Andrzej Lasota Lecture presented on January 12th, 2024 in Katowice. During the lecture we tried to show the impact of Andrzej Lasot…
math.DS2024
Ergodic and chaotic properties of some biological models
Ryszard Rudnicki
In this note we present two types of biological models which have interesting ergodic and chaotic properties. The first type are one-dimensional transformations, like a logistic ma…
math.FA2024
Transformation semigroups and their applications
Katarzyna Pichór, Ryszard Rudnicki
In this chapter we present transformation semigroups and their applications. We begin with Klein's approach to geometry based on invariants of transformation groups. Then we presen…