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Results tagged with random-walks
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user 9716
4
votes
1
answer
464
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Maximum vertical distance for a lattice path when NSEW steps are allowed
Suppose we have a lattice path in 2D starting at the origin, in which north, south, east, and west steps are allowed. For a given path $L$, let $\max(L)$ be the maximum value of the $y$ coordinate ac …
- 3,283
14
votes
1
answer
2k
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Combinatorial proof for the number of lattice paths that return to the axis only at times th...
Consider lattice paths consisting of $2n$ steps, each of which is either $(1,1)$ or $(1,-1)$. The number of such lattice paths that return to the horizontal axis only at times that are a multiple of …
- 3,283