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







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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







    share|cite|improve this question
























      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







      share|cite|improve this question













      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






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      share|cite|improve this question










      asked Nov 18 at 2:09









      Mikhail Simkin

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