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5 papers · 1 filter
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…
Maslov Indices and Monodromy
HR Dullin, JM Robbins, H Waalkens +2
We prove that for a Hamiltonian system on a cotangent bundle that is Liouville-integrable and has monodromy the vector of Maslov indices is an eigenvector of the monodromy matrix w…
Geometry of Calugareanu's theorem
M. R. Dennis, J. H. Hannay
A central result in the space geometry of closed twisted ribbons is Calugareanu's theorem (also known as White's formula, or the Calugareanu-White-Fuller theorem). This enables the…
Singularities, Lax degeneracies and Maslov indices of the periodic Toda chain
JA Foxman, JM Robbins
The n-particle periodic Toda chain is a well known example of an integrable but nonseparable Hamiltonian system in R^{2n}. We show that Sigma_k, the k-fold singularities of the Tod…
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…