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| Local Unstable Entropy and Local Unstable Pressure for Partially Hyperbolic Endomorphisms* |
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Citation： |
Xinsheng WANG.Local Unstable Entropy and Local Unstable Pressure for Partially Hyperbolic Endomorphisms*[J].Chinese Annals of Mathematics B,2022,43(1):137~160 |
| Page view： 542
Net amount： 380 |
Authors： |
Xinsheng WANG; |
Foundation： |
National Natural Science Foundation of China (Nos. 11771118,11801336, 12171400), the Innovation Fund Designated for Graduate Students of Hebei Province (No.CXZZBS2018101), China Scholarship Council (CSC for short) and China Postdoctoral Science Foundation (No. 2021M691889). |
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| Abstract： |
In this paper, local unstable metric entropy, local unstable topological entropy and local unstable pressure for partially hyperbolic endomorphisms are introduced and investigated. Specially, two variational principles concerning relationships among the above mentioned numbers are formulated. |
Keywords： |
Partially hyperbolic endomorphism, Local unstable metric entropy, Local unstable topological entropy, Local unstable pressure, Variational principle |
Classification： |
37A35, 37B40, 37D30 |
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