Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random walk weakly attracted to a wall   We consider a random walk X_n in Z_+, starting at X_0=x>= 0, with transition
probabilities P(X_{n+1}=X_n+1|X_n=y>=1)=1/2-\delta/(4y+2\delta)
P(X_{n+1}=X_n+1|X_n=y>=1)=1/2+\delta/(4y+2\delta) and X_{n+1}=1 whenever X_n=0.
We prove that the expectation value of X_n behaves like n^{1-(\delta/2)} as n
goes to infinity when \delta is in the range (1,2). The proof is based upon the
Karlin-McGregor spectral representation, which is made explicit for this random
walk.

31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex