Presentation 1996/6/21
Inferring Invariant Measures of Dynamical Systems
Ken UMENO,
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Abstract(in English) We consider the problem of inferring invariant measures of dynamical systems. To solve the problem, we give a new class of ergordic mappings whose invariant measure is absolutely continuous with respect to the Lebesgue measure using the addition formula of hyper-elliptic functions. In this class of ergordic dynamical systems, this inverse problem is shown to be transformed to be the statistical inference problem in the standard sense.
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Keyword(in English) Chaos / invariant measures / Neumann=Ulam map / statistical inference
Paper # NC96-13
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Conference Information
Committee NC
Conference Date 1996/6/21(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Inferring Invariant Measures of Dynamical Systems
Sub Title (in English)
Keyword(1) Chaos
Keyword(2) invariant measures
Keyword(3) Neumann=Ulam map
Keyword(4) statistical inference
1st Author's Name Ken UMENO
1st Author's Affiliation Laboratory for Information Representation, FRP, The Institute of Physical and Chemical Research (RIKEN)()
Date 1996/6/21
Paper # NC96-13
Volume (vol) vol.96
Number (no) 117
Page pp.pp.-
#Pages 6
Date of Issue