Combinatorial models of expanding dynamical systems Academic Article uri icon

abstract

  • AbstractWe prove homotopical rigidity of expanding dynamical systems, by showing that they are determined by a group-theoretic invariant. We use this to show that the Julia set of every expanding dynamical system is an inverse limit of simplicial complexes constructed by inductive cut-and-paste rules. Moreover, the cut-and-paste rules can be found algorithmically from the algebraic invariant.

published proceedings

  • ERGODIC THEORY AND DYNAMICAL SYSTEMS

author list (cited authors)

  • Nekrashevych, V.

citation count

  • 12

complete list of authors

  • Nekrashevych, Volodymyr

publication date

  • June 2014