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Misiurewicz maps unfold generically (even if they are critically nonfinite)
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UNSPECIFIED. (2000) Misiurewicz maps unfold generically (even if they are critically nonfinite). FUNDAMENTA MATHEMATICAE, 163 (1). pp. 3954. ISSN 00162736
Full text not available from this repository.Abstract
We show that in normalized families of polynomial or rational maps, Misiurewicz maps (critically finite or infinite) unfold generically. For example, if f(lambda 0) is critically finite with nondegenerate critical point c(1)(lambda(0)),...,c(n)(lambda(0)) such that f(lambda 0)(ki) (c(i)(lambda(0))) = p(i)(lambda(0)) are hyperbolic periodic points for i = 1,..., n, then
lambda > (f(lambda)(k1)(c(1)(lambda))  p(1)(lambda),...,f(lambda)(kd2) (c(d2)(lambda))  p(d2)(lambda))
is a local diffeomorphism for lambda near lambda(0). For quadratic families this result was proved previously in [DH] using entirely different methods.
Item Type:  Journal Article  

Subjects:  Q Science > QA Mathematics  
Journal or Publication Title:  FUNDAMENTA MATHEMATICAE  
Publisher:  POLISH ACAD SCIENCES INST MATHEMATICS  
ISSN:  00162736  
Official Date:  2000  
Dates: 


Volume:  163  
Number:  1  
Number of Pages:  16  
Page Range:  pp. 3954  
Publication Status:  Published  
URI:  http://wrap.warwick.ac.uk/id/eprint/13043 
Data sourced from Thomson Reuters' Web of Knowledge
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