Proves hyperbolicity of renormalization for C^3 dissipative gap mappings and C^1 manifold structure of topological conjugacy classes for infinitely renormalizable cases.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.DS 2years
2019 2verdicts
UNVERDICTED 2representative citing papers
Circle maps with flat spots and unequal critical exponents at the boundaries have their parameter space partitioned into two regions by a phase transition boundary determined solely by the exponents.
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Hyperbolicity of renormalization for dissipative gap mappings
Proves hyperbolicity of renormalization for C^3 dissipative gap mappings and C^1 manifold structure of topological conjugacy classes for infinitely renormalizable cases.
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A Phase Transition for Circle Maps with a Flat Spot and Different Critical Exponents
Circle maps with flat spots and unequal critical exponents at the boundaries have their parameter space partitioned into two regions by a phase transition boundary determined solely by the exponents.