Title page for etd-0613102-133939


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URN etd-0613102-133939
Author Chihyi Chao
Author's Email Address stalin_cy@yahoo.com.tw
Statistics This thesis had been viewed 5103 times. Download 2225 times.
Department Applied Mathematics
Year 2001
Semester 2
Degree Master
Type of Document
Language English
Title Invariant Measures on Projective Space
Date of Defense 2002-05-31
Page Count 10
Keyword
  • Lyapunov exponent
  • random matrix
  • invariant measure
  • measure
  • projective space
  • Abstract In 2 ×2 case,we discuss the uniqueness of the
    u-invariant measure on projective space.Under the condition that |detM|=1 for any M in Gu and Gu is not compact,we have the followings:
    (1) For any x in P(R^2),if #{M.x|M belongs Gu}>2, then the u-invariant measure is unique.
    (2) For some x in P(R^2),there exists
    x1,x2 such that {M.x|M belongs Gu} is contained in {x1,x2},if x1 and x2 are both fixed,then the
    u-invariant measure v is not unique;otherwise,if u has mass only on x1 and x2,then the u-invariant
    measure is unique.
    Advisory Committee
  • none - chair
  • Tsai-Lien Wong - co-chair
  • Jhishen Tsay - advisor
  • Files
  • etd-0613102-133939.pdf
  • indicate access worldwide
    Date of Submission 2002-06-13

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