منابع مشابه
A General Property of Random Walk
Let P(x, ;y)=P(0, y — x) be the transition function of a random walk on the set of lattice points i ?= {x: x has integer valued coordinates} in d-dimensional Euclidean space, d^l. Thus 05^P(0, x), ^2XER P(0, x) — l and it is also assumed that the additive group generated by {x: P(0, x) > 0 } is R itself. Probabilities of events concerning the resulting Markov process (random walk) xn, n}zO, sta...
متن کاملA Random Walk with Exponential Travel Times
Consider the random walk among N places with N(N - 1)/2 transports. We attach an exponential random variable Xij to each transport between places Pi and Pj and take these random variables mutually independent. If transports are possible or impossible independently with probability p and 1-p, respectively, then we give a lower bound for the distribution function of the smallest path at point log...
متن کاملRandom approximation of a general symmetric equation
In this paper, we prove the Hyers-Ulam stability of the symmetric functionalequation $f(ph_1(x,y))=ph_2(f(x), f(y))$ in random normed spaces. As a consequence, weobtain some random stability results in the sense of Hyers-Ulam-Rassias.
متن کاملA monotonicity property for random walk in a partially random environment
We prove a law of large numbers for random walks in certain kinds of i.i.d. random environments in Zd that is an extension of a result of Bolthausen, Sznitman and Zeitouni [4]. We use this result, along with the lace expansion for self-interacting random walks, to prove a monotonicity result for the first coordinate of the speed of the random walk under some strong assumptions on the distributi...
متن کاملa random walk with exponential travel times
consider the random walk among n places with n(n - 1)/2 transports. we attach an exponential random variable xij to each transport between places pi and pj and take these random variables mutually independent. if transports are possible or impossible independently with probability p and 1-p, respectively, then we give a lower bound for the distribution function of the smallest path at point log...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1962
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1962-10808-8