F
forza_bologna
Member
Hello,
I have a question related to chapter 3.
There is a simple random walk on {0, 1, 2, ..., b}
The boundary conditions are:
P[\(X_{n+1}\) = 0 / \(X_{n}\) = 0] = \(\alpha\)
P[\(X_{n+1}\) = 1 / \(X_{n}\) = 0] = 1 - \(\alpha\)
The core reading states that all states are aperiodic unless \(\alpha\) is 1.
If \(\alpha\) is 1, then the 0 boundary is absorbing.
Then this is aperiodic or periodic?
I do not understand how it can be periodic.
Thank you.
I have a question related to chapter 3.
There is a simple random walk on {0, 1, 2, ..., b}
The boundary conditions are:
P[\(X_{n+1}\) = 0 / \(X_{n}\) = 0] = \(\alpha\)
P[\(X_{n+1}\) = 1 / \(X_{n}\) = 0] = 1 - \(\alpha\)
The core reading states that all states are aperiodic unless \(\alpha\) is 1.
If \(\alpha\) is 1, then the 0 boundary is absorbing.
Then this is aperiodic or periodic?
I do not understand how it can be periodic.
Thank you.