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Dynamics of holomorphic transformations; Mandelbrot and Julia sets.

4 votes
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A follow up question related to entropy

The limit exists for the first two examples that come to mind, namely topological entropy on the full shift and on certain simple Markov shifts. If $X \subset \Sigma_d^+ = \{1,2, \dots, d\}^{\mathbb{N …
Vaughn Climenhaga's user avatar
18 votes
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If you were to axiomatize the notion of entropy

This isn't a full axiomatisation, partly because it's a little vague, and partly because I only am really familiar with the notion of entropy in two contexts: topological space and measure space. Ne …
Vaughn Climenhaga's user avatar