• Title, Summary, Keyword: Patterson-Sullivan measure

Search Result 2, Processing Time 0.031 seconds

PATTERSON-SULLIVAN MEASURE AND GROUPS OF DIVERGENCE TYPE

  • Hong, Sungbok
    • Bulletin of the Korean Mathematical Society
    • /
    • v.30 no.2
    • /
    • pp.223-228
    • /
    • 1993
  • In this paper, we use the Patterson-Sullivan measure and results of [H] to show that for a nonelementary discrete group of divergence type, the conical limit set .LAMBDA.$_{c}$ has positive Patterson-Sullivan measure. The definition of the Patterson-Sullivan measure for groups of divergence type is reviewed in section 2. The Patterson-Sullivan measure can also be defined for groups of convergence type and the details for that case can be found in [N]. Necessary definitions and results from [H] are given in section 3, and in section 4, we prove our main result.t.

  • PDF

CONFORMAL DENSITY OF VISIBILITY MANIFOLD

  • Kim, Hyun-Jung
    • Bulletin of the Korean Mathematical Society
    • /
    • v.38 no.1
    • /
    • pp.211-222
    • /
    • 2001
  • In this paper, we prove the existence and uniqueness of a $\delta(\Gamma)$-conformal density on the limit set of $\Gamma$ acting on visibility manifold H for a Fuchsian group $\Gamma$.

  • PDF