22 citations · 30 across the 9 of their papers we have counts for
9 papers
Pade approximants of random Stieltjes series
Jens Marklof, Yves Tourigny, Lech Wolowski
We consider the random continued fraction S(t) := 1/(s_1 + t/(s_2 + t/(s_3 + >...))) where the s_n are independent random variables with the same gamma distribution. For every real…
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…
Dissipation time and decay of correlations
A. Fannjiang, S. Nonnenmacher, L. Wolowski
We consider the effect of noise on the dynamics generated by volume-preserving maps on a d-dimensional torus. The quantity we use to measure the irreversibility of the dynamics is…