Monastic sites visited by A. M. Pozdneev during his second trip to Mongolia (1892–1893)
نویسندگان
چکیده
منابع مشابه
Number of Distinct Sites Visited by a RWwIS
We calculate asymptotics for the expectation and the variance of the number of distinct sites visited by a Random Walk with Internal States. We adapt the argument of Dvoretzky and Erdős. For the two dimensional case we have to prove a local limit theorem with a remainder term, which is a generalization of the main result of [3]. AMS Subject Classification: 60J10, 82C41
متن کاملNumber of distinct sites visited by a subdiffusive random walker.
The asymptotic mean number of distinct sites visited by a subdiffusive continuous-time random walker in two dimensions seems not to have been explicitly calculated anywhere in the literature. This number has been calculated for other dimensions for only one specific asymptotic behavior of the waiting time distribution between steps. We present an explicit derivation for two cases in all integer...
متن کاملNumber of distinct sites visited by N random walkers.
The evaluation of the average number S N (t) of distinct sites visited up to time t by N independent random walkers all starting from the same origin on an Euclidean lattice is addressed. We find that, for the nontrivial time regime and for large N , S N (t) ≈ S N (t)(1 − ∆), where S N (t) is the volume of a hy-persphere of radius (4Dt ln N) 1/2 , ∆ =
متن کاملThe mass of sites visited by a random walk on an infinite graph
We determine the log-asymptotic decay rate of the negative exponential moments of the mass of sites visited by a random walk on an infinite graph which satisfies a two-sided sub-Gaussian estimate on its transition kernel. This provides a new method of proof of the correct decay rate for Cayley graphs of finitely generated groups with polynomial volume growth. This method also extend known resul...
متن کاملNumber of Distinct Sites Visited by a Random Walk with Internal States
In the classical paper of Dvoretzky-Erdős [4], asymptotics for the expected value and the variance of the number of distinct sites visited by a Simple Symmetric Random Walk were calculated. Here, these results are generalized for Random Walks with Internal States. Moreover, both weak and strong laws of large numbers are proved. As a tool for these results, the error term of the local limit theo...
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: Acta Orientalia Academiae Scientiarum Hungaricae
سال: 2014
ISSN: 0001-6446,1588-2667
DOI: 10.1556/aorient.67.2014.3.7