Deadstar
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Hey folks I'm trying to remember the name of this constant my lecturer mentioned.
Here's the scenario.
Take the doubling map.
f: [0,1] -> [0,1]
f(x) = 2x if x <= 1/2
2x - 1 if 1/2 < x <= 1.
Now start with an initial condition, x[0] = 1/p where p is a prime number.
What is the probability that the orbit starting with this point is of period p-1?
The answer is roughly 0.38... but I forget what this constant is called.
Here's the scenario.
Take the doubling map.
f: [0,1] -> [0,1]
f(x) = 2x if x <= 1/2
2x - 1 if 1/2 < x <= 1.
Now start with an initial condition, x[0] = 1/p where p is a prime number.
What is the probability that the orbit starting with this point is of period p-1?
The answer is roughly 0.38... but I forget what this constant is called.