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Livsic Theorem for cocycles with value in GL(n,Qp)

Lin Zhu

ISBN 10: 3659299820 / ISBN 13: 9783659299827
Published by LAP LAMBERT Academic Publishing, 2012
Condition: Good Soft cover
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Title: Livsic Theorem for cocycles with value in GL...

Publisher: LAP LAMBERT Academic Publishing

Publication Date: 2012

Binding: Paperback

Book Condition:Good

About this title


We extend the well-known results of Livsic theorem on the regularity of measurable solutions to GL(n,Qp) valued cocycles, where Qp is the p-adic field, which is a non-archimedean field. To prove the main result, we give the approximation of Lyapunov exponents by the Lyapunov exponents at periodic points and prove the uniformly boundedness of the cocycle if it is uniformly bounded at periodic points under the non-archimedean condition.

About the Author:

Ph.D in Mathematics at The Pennsylvania State University, B.S in Mathematics and Applied Mathematics at Peking University.

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