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math.DS2010
Discontinuity of Topological Entropy for the Lozi Maps
Izzet Burak Yildiz
Recently, Buzzi showed in the compact case that the entropy map is lower semi-continuous for all piecewise affine surface homeomorphisms. We prove that…
math.DS2010★ 6 cited
Monotonicity of the Lozi Family and the Zero Entropy Locus
Izzet Burak Yildiz
Ishii and Sands showed the monotonicity of the Lozi family in a neighborhood of a-axis in the - parameter space. We show the monotonicity of…