Electronic Resource
Springer
Communications in mathematical physics
172 (1995), S. 449-459
ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract We define and study Ulam-von Neumann transformations which are certain interval mappings and conjugate toq(x)=1−2x 2 on [−1,1]. We use a singular metric on [−1,1] to study a Ulam-von Neumann transformation. This singular metric is universal in the sense that it does not depend on any particular mapping but only on the exponent of this mapping at its unique critical point. We give the smooth classification of Ulam-von Neumann transformations by their eigenvalues at periodic points and exponents and asymmetries.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02101803
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