NDLI: Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness

Content Provider	Scilit
Author	Kitaev, A. Yu
Copyright Year	1999
Description	Journal: Nonlinearity Given a map and a function , a `Fredholm determinant' can be defined as a formal power series . The coefficients are related to the periodic points of . Assume that is a hyperbolic diffeomorphism of class , and belongs to . Then the Fredholm determinant is analytic in the disc of radius , where is a hyperbolicity index of (roughly speaking, is -contracting in one direction and -expanding in the other direction). In the case, the Fredholm determinant is an entire function.
Related Links	http://iopscience.iop.org/article/10.1088/0951-7715/12/1/008/pdf
Ending Page	179
Page Count	39
Starting Page	141
ISSN	09517715
e-ISSN	13616544
DOI	10.1088/0951-7715/12/1/008
Journal	Nonlinearity
Issue Number	1
Volume Number	12
Language	English
Publisher	IOP Publishing
Publisher Date	1999-01-01
Access Restriction	Open
Subject Keyword	Journal: Nonlinearity Periodic Point Formal Power Series Entire Function
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Statistical and Nonlinear Physics Mathematical Physics

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Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness