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seen Aug 8 at 9:18

Aug
7
comment Conditional return time of simple random walk
This probability is $\frac{1}{2} \frac{1}{k}$ in case of $p = \frac{1}{2}$ and $\frac{2p - 1}{1 - (\frac{1 - p}{p})^k}$ in case of $p \neq \frac{1}{2}$
Aug
7
comment Conditional return time of simple random walk
The first step must be right. Thus $P(\tau_k < \tau^*) = $p P(SRW starting from 1 reaches k before 0)$ and it comes from the gambler ruin problem.
Aug
7
comment Conditional return time of simple random walk
Perhaps a bound could be $\frac{P(\tau^* > j)}{P(\tau_j < \tau^*)}$, just using the bound $P(\tau_k < \tau^*) > P(\tau_j < \tau^*)$. But is $P(\tau^* > j)$ know exactly?
Aug
7
comment Conditional return time of simple random walk
Yes, let's say we know that….
Aug
7
revised Conditional return time of simple random walk
deleted 4 characters in body
Aug
6
asked Conditional return time of simple random walk
Jul
31
asked Exact probability distribution for hitting time of simple random walk
Jul
29
accepted Distributions of local times of a single excursion of 1D random walk
Jul
28
asked Distributions of local times of a single excursion of 1D random walk
Jul
2
awarded  Curious
Jun
18
accepted number of ones with neighbours in a random binary string
Jun
13
revised number of ones with neighbours in a random binary string
edited tags
Jun
13
asked number of ones with neighbours in a random binary string
Jun
10
accepted Probability of special configuration of ones in a binary string
Jun
10
asked Probability of special configuration of ones in a binary string
Jun
6
accepted Rescaling function for probability of $k$ adjacent ones in a binary string
Jun
6
revised Rescaling function for probability of $k$ adjacent ones in a binary string
deleted 15 characters in body
Jun
4
comment Rescaling function for probability of $k$ adjacent ones in a binary string
Yes I was interested in this. What is the strategy to prove the behaviour of $P(M \leq x)$?
Jun
3
revised Rescaling function for probability of $k$ adjacent ones in a binary string
edited title
Jun
2
revised Rescaling function for probability of $k$ adjacent ones in a binary string
deleted 16 characters in body