69 citations · 158 across the 38 of their papers we have counts for
7 papers · 1 filter
Flexibility of statistical properties for smooth systems satisfying the central limit theorem
Dmitry Dolgopyat, Changguang Dong, Adam Kanigowski +1
In this paper we exhibit new classes of smooth systems which satisfy the Central Limit Theorem (CLT) and have (at least) one of the following properties: (1) zero entropy; (2) weak…
Prime orbits for some smooth flows on
Adam Kanigowski
We consider a class of smooth mixing flows on with one degenerated fixed point of power type . We prove that for a …
Slow entropy of higher rank abelian unipotent actions
Adam Kanigowski, Philipp Kunde, Kurt Vinhage +1
We study slow entropy invariants for abelian unipotent actions on any finite volume homogeneous space . For every such action we show that the topological slow entropy can…
Survey on entropy-type invariants of sub-exponential growth in dynamical systems
Adam Kanigowski, Anatole Katok, Daren Wei
Measure-theoretic and topological entropy are classical invariants in the theory of dynamical systems. There are several recently developed entropy type invariants for systems of s…
Prime number theorem for analytic skew products
Adam Kanigowski, Mariusz Lemańczyk, Maksym Radziwiłł
We establish a prime number theorem for all uniquely ergodic, analytic skew products on the -torus . More precisely, for every irrational and every -periodi…
Prime number theorem for regular Toeplitz subshifts
Krzysztof Frączek, Adam Kanigowski, Mariusz Lemańczyk
We prove that neither a prime nor {an l-almost prime} number theorem hold in the class of regular Toeplitz subshifts. But, {when a quantitative strengthening of the regularity with…
Mixing properties of generalized transformations
Dmitry Dolgopyat, Changguang Dong, Adam Kanigowski +1
We study mixing properties of generalized transformation. We discuss two mixing mechanisms. In the case the fiber dynamics is mixing, it is sufficient that the driving…