# WILBERT

## Wildauer Bücher+E-Medien Recherche-Tool

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• 1980-1984  (2)
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• 1
Electronic Resource
Springer
Journal of statistical physics 33 (1983), S. 437-476
ISSN: 1572-9613
Keywords: One-dimensional Gibbs systems ; transfer matrix ; Markov chains ; renormalization group ; decimation procedure ; cluster expansion
Source: Springer Online Journal Archives 1860-2000
Topics: Physics
Notes: Abstract We consider unbounded spin systems and classical continuous particle systems in one dimension. We assume that the interaction is described by a superstable two-body potential with a decay at large distances at least asr −2(lnr)−(2+ε), ε 〉 0. We prove the analyticity of the free energy and of the correlations as functions of the interaction parameters. This is done by using a “renormalization group technique” to transform the original model into another, physically equivalent, model which is in the high-temperature (small-coupling) region.
Type of Medium: Electronic Resource
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• 2
Electronic Resource
Springer
Communications in mathematical physics 79 (1981), S. 261-302
ISSN: 1432-0916
Source: Springer Online Journal Archives 1860-2000
Topics: Mathematics , Physics
Notes: Abstract We give a proof of the existence of aC 2, even solution of Feigenbaum's functional equation $$g{\text{(}}x) = - \lambda _0^{ - 1} g{\text{(}}g( - \lambda _0 x)),g{\text{(0) = 1,}}$$ whereg is a map of [−1, 1] into itself. It extends to a real analytic function over ℝ.
Type of Medium: Electronic Resource
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