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  • 1995-1999  (3)
  • 1
    Electronic Resource
    Electronic Resource
    On Ulam-von Neumann transformations (1995)
    Springer
    Communications in mathematical physics 172 (1995), S. 449-459 
    Details
    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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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Markov partitions and Feigenbaum-like mappings (1995)
    Springer
    Communications in mathematical physics 171 (1995), S. 351-363 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We construct a Markov partition for a Feigenbaum-like mapping. We prove that this Markov partition has bounded nearby geometry property similar to that for a geometrically finite one-dimensional mappings [8]. Using this property, we give a simple proof that any two Feigenbaum-like mappings are topologically conjugate and the conjugacy is quasisymmetric.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02099274
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A Proof of the Existence and Simplicity of a Maximal Eigenvalue for Ruelle–Perron–Frobenius Operators (1999)
    Springer
    Letters in mathematical physics 48 (1999), S. 211-219 
    Details
    ISSN: 1573-0530
    Keywords: locally expanding ; mixing ; Ruelle–Perron–Frobenius operator ; maximal eigenvalue
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We give a new proof of a result due to Ruelle about the existence and simplicity of a unique maximal eigenvalue for a Ruelle–Perron–Frobenius operator acting on some Hölder continuous function space.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007595323704
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    Paper (German National Licenses)
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