Timeline for A follow up question related to entropy
Current License: CC BY-SA 3.0
2 events
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| Feb 5, 2012 at 23:19 | comment | added | Mahdi Majidi-Zolbanin | Dear J. Silverman: Thank you for your response. What does the number $\hat{h}_{\phi}(P)$ measure? I know it vanishes at pre-periodic points, but what does a large value of $\hat{h}_{\phi}(P)$ mean, for example? Also, do the following limits have any meaning in arithmetic setting? (I don't know if they exist) $$\lim_{n\rightarrow\infty}\frac{\deg\phi^n}{\exp(n\cdot h_{\mathrm{alg}}(\phi))},\ \ \ \ \ \ \ \ \lim_{n\rightarrow\infty}\frac{w(\phi^n(P))}{\exp(n\cdot h_{\mathrm{arith}}(\phi,P))}.$$ | |
| Jan 28, 2012 at 20:45 | history | answered | Joe Silverman | CC BY-SA 3.0 |