4 citations · 4 across the 5 of their papers we have counts for
7 papers
Explicit invariant measures for products of random matrices
Jens Marklof, Yves Tourigny, Lech Wolowski
We construct explicit invariant measures for a family of infinite products of random, independent, identically-distributed elements of SL(2,C). The matrices in the product are such…
Noise Induced Dissipation in Discrete-Time Classical and Quantum Dynamical Systems
Lech Wolowski
We introduce a new characteristics of chaoticity of classical and quantum dynamical systems by defining the notion of the dissipation time which enables us to test how the system r…
Relaxation Time of Quantized Toral Maps
A. Fannjiang, S. Nonnenmacher, L. Wolowski
We introduce the notion of the relaxation time for noisy quantum maps on the 2d-dimensional torus - a generalization of previously studied dissipation time. We show that relaxation…
Infinite Order Differential Operators in Spaces of Entire Functions
Yu. Kozitsky, P. Oleszczuk, L. Wolowski
We study infinite order differential operators acting in the spaces of exponential type entire functions. We derive conditions under which such operators preserve the set of Laguer…
Noise induced dissipation in Lebesgue-measure preserving maps on dimensional torus
Albert Fannjiang, Lech Wolowski
We consider dissipative systems resulting from the Gaussian and -stable noise perturbations of measure-preserving maps on the dimensional torus. We study the dissipation…
A Nonlinear Dynamical System on the Set of Laguerre Entire Functions
Yuri Kozitsky, Lech Wolowski
A nonlinear modification of a parabolic Cauchy problem for entire functions of a single complex variable is considered. The modification means that the time half-line is divided on…