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Seminar on Modern Problems of Complex Analysis (Sadullaev Seminar)
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Large entropy measures of polynomial-like maps S. U. Bazarbaev National University of Uzbekistan named after M. Ulugbek, Tashkent |
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Abstract: Large entropy measures of endomorphisms were studied by Dinh-Sibony and De Thélin. In particular, they proved that such measures are supported on the Julia set of the endomorphism. In this talk, after introducing the necessary notions, we present a study of large entropy measures in the context of polynomial-like maps. In particular, we show that large entropy measures are supported on the Julia sets of polynomial-like maps. To prove this, we use a different method than the one used by De Thélin and Dinh in the context of endomorphisms. Website: https://us02web.zoom.us/j/8022228888?pwd=b3M4cFJxUHFnZnpuU3kyWW8vNzg0QT09 |
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