Mean Dynamical Entropy of Quantum System Tends to Infinity in the Semiclassical Limit (2007)
Wojciech Slomczynski, Karol Zyczkowski, Instytut Matematyki
We show that the mean dynamical entropy of a quantum map on the sphere tends logarithmically to infinity in the semiclassical limit. Consequences of this fact for classical dynamical systems are...
From a toy model to the double square root voting system (2007)
Slomczynski, Wojciech, Zyczkowski, Karol
We investigate systems of indirect voting based on the law of Penrose, in which each representative in the voting body receives the number of votes (voting weight) proportional to the square root of...
Voting in the European Union: The square root system of Penrose and a critical point (2004)
Zyczkowski, Karol, Slomczynski, Wojciech
The notion of the voting power is illustrated by examples of the systems of voting in the European Council according to the Treaty of Nice and the more recent proposition of the European Convent. We...
Anna A. Kwiecinska, Wojciech Slomczynski, Wojciech S/lomczy
We show that if an iterated function system admits an invariant and attractive measure, then it has the structure of a random dynamical system (in the sense of Ludwig Arnold). 1. Introduction. The...
Monge Distance between Quantum States (1997)
Zyczkowski, Karol, Slomczynski, Wojciech
We define a metric in the space of quantum states taking the Monge distance between corresponding Husimi distributions (Q--functions). This quantity fulfills the axioms of a metric and satisfies the...
Random dynamical systems arising from iterated function systems with place-dependent probabilities
Kwiecinska, Anna A., Slomczynski, Wojciech
We show that if an iterated function system with place-dependent probabilities admits an invariant and attractive measure, then it has the structure of a random dynamical system (in the sense of...