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plugin:clearfloat [2009/01/28 08:02] predrag created clearfloat - but it is not floating as yet... |
plugin:clearfloat [2010/02/02 07:55] (current) |
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====== Clearfloat test ====== | ====== Clearfloat test ====== | ||
- | {{:escrates.png?248|}} | + | {{:escrates.png?248 |}} |
- | The escape rate $\gamma$ of the repeller | + | |
+ | The escape rate <latex>\gamma</latex> of the repeller | ||
plotted as function of number of partition intervals $N$, | plotted as function of number of partition intervals $N$, | ||
estimated using: | estimated using: | ||
(<latex>\color{blue}\blacklozenge</latex>) under-resolved 4-interval and | (<latex>\color{blue}\blacklozenge</latex>) under-resolved 4-interval and | ||
the 7-interval `optimal partition', | the 7-interval `optimal partition', | ||
- | ({\Large $\color{red}\bullet$}) all periodic orbits of periods | + | (<latex>{\Large \color{red}\bullet}</latex>) all periodic orbits of periods |
- | up to $n=8$ in the deterministic, binary symbolic dynamics, | + | up to <latex>n=8</latex> in the deterministic, binary symbolic dynamics, |
- | with $N_i=2^n$ periodic-point intervals (the deterministic, | + | with <latex>N_i=2^n</latex> periodic-point intervals (the deterministic, |
noiseless escape rate is <latex>\gamma_{det} = 0.7011</latex>), and | noiseless escape rate is <latex>\gamma_{det} = 0.7011</latex>), and | ||
- | ({\scriptsize $\blacksquare$}) a uniform discretization | + | (<latex>{\scriptsize \blacksquare}</latex>) a uniform discretization |
- | in $N=16,\cdots, 256$ intervals. For $N=512$ | + | in <latex>N=16,\cdots, 256</latex> intervals. For <latex>N=512</latex> |
- | discretization yields $\gamma_{num} = 0.73335(4)$. | + | discretization yields <latex>\gamma_{num} = 0.73335(4)</latex>. |
- | ~~CL~~ | + | ~~CL~~ |
this is supposed not to float... | this is supposed not to float... |