Abstract: The K-property and Bernoullicity are two of the strongest chaotic properties in abstract ergodic theory, which were once believed to be equivalent. I will introduce the basic idea behind Bernoullicity and then describe some examples of Bernoulli systems, as well as K but not Bernoulli systems. The latter usually come in the form of skew product transformations given by $S(x,y)=(H(x),T^{f(x)}(y))$ with hyperbolic base $H$. I will show how the Bernoulli property of such systems may depend on the fiber dynamics $T$ and the skewing function $f$.
On K and Bernoulli properties in smooth systems
21.02.2026 11:00 - 11:45
Organiser:
H. Bruin, R. Zweimüller
Location:
TBA
Location:
HS 12, OMP 1