15 citations · 35 across the 10 of their papers we have counts for
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math.DS2008★ 6 cited
Analytic families of holomorphic iterated function systems
Mario Roy, Hiroki Sumi, Mariusz Urbanski
This paper deals with analytic families of holomorphic iterated function systems. Using real analyticity of the pressure function (which we prove), we establish a classification th…
math.DS2008★ 1 cited
Interaction cohomology of forward or backward self-similar systems
Hiroki Sumi
We investigate the dynamics of forward or backward self-similar systems (iterated function systems) and the topological structure of their invariant sets. We define a new cohomolog…