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Dynamics of holomorphic transformations; Mandelbrot and Julia sets.
4
votes
Accepted
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 …
18
votes
Accepted
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 …