6 citations · 12 across the 9 of their papers we have counts for
5 papers · 1 filter
Integrability via Reversibility
Maciej P. Wojtkowski
A class of left-invariant second order reversible systems with functional parameter is introduced which exhibits the phenomenon of robust integrability: an open and dense subset of…
Counting Berg partitions via Sturmian words and substitution tilings
Artur Siemaszko, Maciej P. Wojtkowski
We develop the connection of Berg partitions with special substitution tilings of two tiles. We obtain a new proof that the number of Berg partitions with a fixed connectivity matr…
Counting Berg partitions
Artur Siemaszko, Maciej P. Wojtkowski
We call a Markov partition of a two dimensional hyperbolic toral automorphism a Berg partition if it contains just two rectangles. We describe all Berg partitions for a given hyper…
Weyl manifolds and Gaussian thermostats
Maciej P. Wojtkowski
A relation between Weyl connections and Gaussian thermostats is exposed and exploited.
Ergodicity in Hamiltonian systems
Carlangelo Liverani, Maciej P. Wojtkowski
We discuss the Sinai method of proving ergodicity of a discontinuous Hamiltonian system with (non-uniform) hyperbolic behavior.