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The problem with twp linear branches

Fritz Schweiger

Abstract

Piecewise fractional linear maps wzth three or more branches have been studied in several papers. For many Moebius maps the shape of the density of their invariant measurs can be written down exactly. However, if just two branches are linear, no explicit form is known. In this paper a partial solution is offered.

The problem with twp linear branches

Abstract

Piecewise fractional linear maps wzth three or more branches have been studied in several papers. For many Moebius maps the shape of the density of their invariant measurs can be written down exactly. However, if just two branches are linear, no explicit form is known. In this paper a partial solution is offered.
Paper Structure (3 theorems, 24 equations)

This paper contains 3 theorems, 24 equations.

Key Result

Theorem 1

. (1) If the map $T$ is of type $[1,1,1]$, then $S$ has a natural dual and (1) If the map $T$ is of type $[1,-1,1]$, then $S$ has a natural dual and

Theorems & Definitions (6)

  • Theorem 1
  • proof
  • Theorem 2
  • proof
  • Theorem 3
  • proof