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Intermittency and regularized Fredholm determinants
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UNSPECIFIED. (1999) Intermittency and regularized Fredholm determinants. INVENTIONES MATHEMATICAE, 135 (1). pp. 124. ISSN 00209910
Full text not available from this repository.Abstract
We consider realanalytic maps of the interval I = [0, 1] which are expanding everywhere except for a neutral fixed point at 0. We show that on a certain function space the associated PerronFrobenius operator M has a continuous and residual spectrum contained in the linesegment sigma(c) = [0, 1] and a point spectrum sigma(p) which has no points of accumulation outside 0 and 1. Furthermore, points in sigma(p)  {0, 1} are eigenvalues of finite multiplicity. We construct a regularized Fredholm determinant d(lambda) which has a holomorphic extension to lambda epsilon C  sigma(c) and can be analytically continued from each side of a, to an open neighborhood of sigma(c)  {0, 1} (on different Riemann sheets). In C  sigma(c) the zeroset of d(lambda) is in onetoone correspondence with the point spectrum of M. Through the conformal transformation lambda(z) = 1/4z (1 + z)(2) the function d o lambda(z) extends to a holomorphic function in a domain which contains the unit disc.
Item Type:  Journal Article  

Subjects:  Q Science > QA Mathematics  
Journal or Publication Title:  INVENTIONES MATHEMATICAE  
Publisher:  SPRINGER VERLAG  
ISSN:  00209910  
Official Date:  January 1999  
Dates: 


Volume:  135  
Number:  1  
Number of Pages:  24  
Page Range:  pp. 124  
Publication Status:  Published  
URI:  http://wrap.warwick.ac.uk/id/eprint/14979 
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