Random walk with incommensurate steps
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Anyone seen any research on random walks with steps +q/-1, where q is irrational? I am interested in probability of staying positive for n steps.
Alternative formulation would be steps of size 1 either up or to the right. And one would be looking at the probability to stay above a line with irrational slope.
combinatorics random-walk
asked Nov 18 at 2:09
Mikhail Simkin
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Anyone seen any research on random walks with steps +q/-1, where q is irrational? I am interested in probability of staying positive for n steps.
Alternative formulation would be steps of size 1 either up or to the right. And one would be looking at the probability to stay above a line with irrational slope.
combinatorics random-walk
asked Nov 18 at 2:09
Mikhail Simkin
62
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
Anyone seen any research on random walks with steps +q/-1, where q is irrational? I am interested in probability of staying positive for n steps.
Alternative formulation would be steps of size 1 either up or to the right. And one would be looking at the probability to stay above a line with irrational slope.
combinatorics random-walk
asked Nov 18 at 2:09
Mikhail Simkin
62
Anyone seen any research on random walks with steps +q/-1, where q is irrational? I am interested in probability of staying positive for n steps.
Alternative formulation would be steps of size 1 either up or to the right. And one would be looking at the probability to stay above a line with irrational slope.
combinatorics random-walk
combinatorics random-walk
asked Nov 18 at 2:09
Mikhail Simkin
62
asked Nov 18 at 2:09
Mikhail Simkin
62
asked Nov 18 at 2:09
Mikhail Simkin
62
asked Nov 18 at 2:09
Mikhail Simkin
62
asked Nov 18 at 2:09
Mikhail Simkin
62
62
add a comment |
add a comment |
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