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- W2072915022 abstract "We give a novel way of constructing the density function for the absolutely continuous invariant measure of piecewise expanding C ω Markov maps. This is a classical problem, with one of the standard approaches being Ulam's method [Problems in Modern Mathematics, Interscience, New York, 1960] of phase space discretisation. Our method hinges instead on the expansion of the density function with respect to an L 2 orthonormal basis, and the computation of the expansion coefficients in terms of the periodic orbits of the expanding map. The efficiency of the method, and its extension to C k expanding maps, are also discussed." @default.
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- W2072915022 date "2005-03-01" @default.
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- W2072915022 title "Orthonormal expansions of invariant densities for expanding maps" @default.
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- W2072915022 doi "https://doi.org/10.1016/j.aim.2003.09.011" @default.
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