I show that the dynamical determinant, associated to an Anosov diffeomorphism, is the Fredholm determinant of the corresponding Ruelle-Perron-Frobenius. Title: Edgeworth expansions for weakly dependent random variables. Authors: Kasun Fernando, Carlangelo Liverani. (Submitted on 20 Mar. Universita degli Studi di Roma Tor Vergata: Roma, Lazio. to present | Professor (Mathematics). Employment. Source.
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Details: Carlangelo Liverani
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Articles Cited by Co-authors. Ergodic theory and dynamical systems 19 3, Ergodic Theory and dynamical systems 26 1, International Conference on Dynamical Systems Montevideo, Journal of Statistical Physics 78, Journal of Statistical Physics 3, Transactions of the American Mathematical Society 9, Communications in mathematical physics 2, Ergodic Theory and Dynamical Systems 18 6, Communications in mathematical physics 1, Journal of Differential Geometry 79 3, Articles 1—20 Show more.
Decay of correlations C Liverani Annals of Mathematics, On contact Anosov flows C Liverani Annals of mathematics, Central limit theorem for deterministic systems C Liverani International Conference on Dynamical Systems Montevideo, Decay of correlations for piecewise expanding maps C Liverani Journal of Statistical Physics 78, Dyn 1 2, Rare carlanglo, escape rates and quasistationarity: Stability lverani statistical properties in two-dimensional piecewise hyperbolic maps M Demers, C Liverani Transactions of the American Mathematical Society 9, Potentials on the two-torus for which the Hamiltonian flow is ergodic V Donnay, C Liverani Communications in mathematical physics 2, Rigorous numerical investigation of the statistical properties of piecewise expanding maps.
A feasibility study C Liverani Nonlinearity 14 3, Lasota—Yorke maps with holes: Conformally symplectic dynamics and symmetry of the Lyapunov spectrum MP Wojtkowski, C Liverani Communications in mathematical physics 1, Compact locally maximal hyperbolic sets for smooth maps: