4 papers
Ergodic properties of the quantum geodesic flow on tori
Slawomir Klimek, Witold Kondracki
We study ergodic averages for a class of pseudodifferential operators on the flat N-dimensional torus with respect to the Schrödinger evolution. The later can be consider a quantiz…
New properties of Cauchy and event horizons
Robert Budzynski, Witold Kondracki, Andrzej Krolak
We present several recent results concerning Cauchy and event horizons. In the first part of the paper we review the differentiablity properties of the Cauchy and the event horizon…
Quantum Principal Fiber Bundles: Topological Aspects
R. J. Budzynski, W. Kondracki
We introduce the notion of locally trivial quantum principal bundles. The base space and total space are compact quantum spaces (unital -algebras), the structure group i…
Quantum Spaces: Notes and Comments on a Lecture by S. L. Woronowicz
R. J. Budzynski, W. Kondracki
These notes are based on a lecture given by S. L. Woronowicz at the Institute of Mathematics, Polish Academy of Sciences.