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Results tagged with random-walks
Search options questions only
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user 3248
2
votes
0
answers
452
views
Cover time for a biased random walk on an 'N'-dimensional integer lattice
Imagine that I have a random walk on an $N$-dimensional integer lattice, $Z^N$, of finite dimensions, $(d_1, ..., d_N)$, where boundaries are fully reflecting and the walker is initialized at some poi …
- 599
13
votes
1
answer
1k
views
How far can a particle travel from its origin if it exhibits self-avoiding Brownian motion i...
Let's say I have a point-like Brownian particle undergoing two-dimensional diffusion on an infinite plane with the caveat is that the particle can never return to a coordinate that it previously visit …
- 599
2
votes
3
answers
297
views
How long does it take a Brownian particle to achieve a uniform probability distribution acro...
Imagine I have a point-like Brownian particle, with diffusion constant $D$, and I place it at some initial coordinate in a cage of known geometry. Assuming the volume $V$ of the cage is "everywhere" …
- 599