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Spectrum rigidity and joint integrability for Anosov diffeomorphisms

發(fā)布者:文明辦發(fā)布時(shí)間:2021-11-05瀏覽次數(shù):467

  

主講人:史逸  北京大學(xué)研究員

  

時(shí)間:2021年11月8日20:30

  

地點(diǎn):騰訊會(huì)議 524 306 310

  

主辦單位:數(shù)理學(xué)院

  

內(nèi)容介紹:Let f be an irreducible Anosov diffeomorphism. Assume f is also absolutely  partially hyperbolic where the center bundle is weak stable. We show that if the  strong stable and unstable bundles are jointly integrable, then f is dynamically  coherent and fully leaf conjugates to its linear part A. Moreover, f admits the  finest dominated splitting in the weak stable bundle with the same dimension to  A, and has spectrum rigidity in all these sub-bundles. This is a joint work with  A.Gogolev.