Ávila

Results: 564



#Item
91

ON POINT SPECTRUM AT CRITICAL COUPLING ARTUR AVILA Abstract. We give a short proof of absence of point spectrum at critical coupling for the almost Mathieu operator, for any irrational frequency, except (possibly) for co

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    92

    COCYCLES OVER PARTIALLY HYPERBOLIC MAPS ARTUR AVILA, JIMMY SANTAMARIA, MARCELO VIANA Abstract. We give a general necessary condition for the extremal (largest and smallest) Lyapunov exponents of a H¨ older continuous co

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      93

      Uniformly Hyperbolic Finite-Valued SL(2, R)-Cocycles A. Avila, J. Bochi, and J.-C. Yoccoz August 1, 2008 Abstract We consider finite families of SL(2, R) matrices whose products display

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        94

        CONVERGENCE OF AN EXACT QUANTIZATION SCHEME ARTUR AVILA Abstract. It has been shown by Voros [V1] that the spectrum of the one-dimensional homogeneous anharmonic oscillator (Schr¨ odinger operator with potential q 2M ,

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          95

          THE TEN MARTINI PROBLEM ARTUR AVILA AND SVETLANA JITOMIRSKAYA† Abstract. We prove the conjecture (known as the “Ten Martini Problem” after Kac and Simon) that the spectrum of the almost Mathieu operator is a Cantor

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            96

            DENSITY OF POSITIVE LYAPUNOV EXPONENTS FOR QUASIPERIODIC SL(2, R) COCYCLES IN ARBITRARY DIMENSION ARTUR AVILA∗ Abstract. We show that given a fixed irrational rotation of the d-dimensional torus, any analytic SL(2, R)

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              97

              SMOOTH SIEGEL DISKS VIA SEMICONTINUITY: A REMARK ON A PROOF OF BUFF AND CHERITAT ARTUR AVILA Abstract. Recently, Xavier Buff and Arnaud Cheritat have provided an elegant proof of the existence of quadratic Siegel disks w

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                98

                THE ABSOLUTELY CONTINUOUS SPECTRUM OF THE ALMOST MATHIEU OPERATOR ARTUR AVILA Abstract. We prove that the spectrum of the almost Mathieu operator is absolutely continuous if and only if the coupling is subcritical. This

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                  99

                  CONCURSO DE FOTOGRAFÍA V CENTENARIO SANTA TERESA DE JESÚS www.congresosantateresa2015.es Las universidades Católica de Ávila, San Pablo CEU, Cardenal Herrera CEU, Abat Oliba CEU, Universidad Católica de Valencia, Fr

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                  Source URL: www.congresosantateresa2015.es

                  Language: Spanish - Date: 2015-05-20 13:11:47
                    100

                    THE FULL RENORMALIZATION HORSESHOE FOR UNIMODAL MAPS OF HIGHER DEGREE: EXPONENTIAL CONTRACTION ALONG HYBRID CLASSES ARTUR AVILA AND MIKHAIL LYUBICH

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