Library

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps (1992)
    Springer
    Communications in mathematical physics 149 (1992), S. 31-69 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We study unimodal interval mapsT with negative Schwarzian derivative satisfying the Collet-Eckmann condition |DT n (Tc)|≧Kλ c n for some constantsK〉0 and λc〉1 (c is the critical point ofT). We prove exponential mixing properties of the unique invariant probability density ofT, describe the long term behaviour of typical (in the sense of Lebesgue measure) trajectories by Central Limit and Large Deviations Theorems for partial sum processes of the form $$S_n = \Sigma _{i = 0}^{n - 1} f(T^i x)$$ , and study the distribution of “typical” periodic orbits, also in the sense of a Central Limit Theorem and a Large Deviations Theorem. This is achieved by proving quasicompactness of the Perron Frobenius operator and of similar transfer operators for the Markov extension ofT and relating the isolated eigenvalues of these operators to the poles of the corresponding Ruelle zeta functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02096623
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Non-uniform hyperbolicity and universal bounds for S-unimodal maps (1998)
    Springer
    Inventiones mathematicae 132 (1998), S. 633-680 
    Details
    ISSN: 1432-1297
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. An S-unimodal map f is said to satisfy the Collet-Eckmann condition if the lower Lyapunov exponent at the critical value is positive. If the infimum of the Lyapunov exponent over all periodic points is positive then f is said to have a uniform hyperbolic structure. We prove that an S-unimodal map satisfies the Collet-Eckmann condition if and only if it has a uniform hyperbolic structure. The equivalence of several non-uniform hyperbolicity conditions follows. One consequence is that some renormalization of an S-unimodal map has an absolutely continuous invariant probability measure with exponential decay of correlations if and only if the Collet-Eckmann condition is satisfied. The proof uses new universal bounds that hold for any S-unimodal map without periodic attractors.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002220050236
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Invariant measures exist under a summability condition for unimodal maps (1991)
    Springer
    Inventiones mathematicae 105 (1991), S. 123-136 
    Details
    ISSN: 1432-1297
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary For unimodal maps with negative Schwarzian derivative a sufficient condition for the existence of an invariant measure, absolutely continuous with respect to Lebesgue measure, is given. Namely the derivatives of the iterations of the map in the (unique) critical value must be so large that the sum of (some root of) the inverses is finite.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01232258
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Mechanismus der thermischen Isomerisierung von Thiophosphorsäure-O-2-butenylester-O,O-dimethylester. Kinetische Untersuchung (1978)
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 111 (1978), S. 56-64 
    Details
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Mechanism of the Thermal Isomerisation of O-2-Butenyl O,O-Dimethyl Thiophosphate. Kinetic StudyThe thermal isomerisation of O-2-butenyl O,O-dimethyl thiophosphate (1b) (scheme 3) obeys first order rate law. Solvent polarity does not affect the parameters of activation, but influences a little the rate constants. The kinetic data and the observed “special” salt effect lead to the conclusion that the isomerisation proceeds by a dissociative mechanism. Ion pairs as intermediates are proposed.
    Notes: Die thermische Isomerisierung von Thiophosphorsäure-O-2-butenylester-O,O-dimethylester (1b) (Schema 3) verläuft nach einem Geschwindigkeitsgesetz 1. Ordnung. Die Polarität des Mediums beeinflußt nicht die Aktivierungsparameter und übt lediglich einen minimalen Einfluß auf die Geschwindigkeitskonstanten aus. Die kinetischen Daten und der festgestellte „spezielle“ Salzeffekt lassen den Schluß zu, daß diese Isomerisierung einem intramolekularen ionischen Mechanismus folgt. Als ionische Zwischenstufe werden Ionenpaare postuliert.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cber.19781110105
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    Zur Kinetik der Pistschimuka-Reaktion (1975)
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 108 (1975), S. 2465-2468 
    Details
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Kinetics of the Pistschimuka ReactionReactions of O,O,O-triethyl phosphoroselenoate and O,O,O-triethyl phosphorothioate with methyl iodide in N-methylacetamide were found to be of second order. The rate constants and the activation parameters are given.
    Notes: Selenophosphorsäure-O,O,O-triäthylester und Thiophosphorsäure-O,O,O-triäthylester reagieren mit Methyljodid in N-Methylacetamid nach einem Geschwindigkeitsgesetz 2. ordnung. Geschwindigkeitskonstanten und Aktivierungsparameter sind angegeben.
    Additional Material: 4 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cber.19751080733
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...