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math-ph2005
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…
math-ph1999
Quantum unique ergodicity for parabolic maps
Jens Marklof, Zeev Rudnick
We study the ergodic properties of quantized ergodic maps of the torus. It is known that these satisfy quantum ergodicity: For almost all eigenstates, the expectation values of qua…