منابع مشابه
Derandomization of Euclidean Random Walks
We consider the problem of derandomizing random walks in the Euclidean space R. We show that for k = 2, and in some cases in higher dimensions, such walks can be simulated in Logspace using only poly-logarithmically many truly random bits. As a corollary, we show that the random walk can be deterministically simulated in space O(logn √ log log n), where 1/n is the desired precision of the simul...
متن کاملRandom walks in space time mixing environments
We prove that random walks in random environments, that are exponentially mixing in space and time, are almost surely diffusive, in the sense that their scaling limit is given by the Wiener measure. 1 The results Random walks in random environments are walks where the transition probabilities are themselves random variables (see [22, 23] for recent reviews of the literature). The environments c...
متن کاملA PRELUDE TO THE THEORY OF RANDOM WALKS IN RANDOM ENVIRONMENTS
A random walk on a lattice is one of the most fundamental models in probability theory. When the random walk is inhomogenous and its inhomogeniety comes from an ergodic stationary process, the walk is called a random walk in a random environment (RWRE). The basic questions such as the law of large numbers (LLN), the central limit theorem (CLT), and the large deviation principle (LDP) are ...
متن کاملFirst passage percolation in Euclidean space and on random tessellations
There are various models of first passage percolation (FPP) in R. We want to start a very general study of this topic. To this end we generalize the first passage percolation model on the lattice Z to R and adapt the results of [Boi90] to prove a shape theorem for ergodic random pseudometrics on R. A natural application of this result will be the study of FPP on random tessellations where a flu...
متن کاملOn the Quaternionic Curves in the Semi-Euclidean Space E_4_2
In this study, we investigate the semi-real quaternionic curves in the semi-Euclidean space E_4_2. Firstly, we introduce algebraic properties of semi-real quaternions. Then, we give some characterizations of semi-real quaternionic involute-evolute curves in the semi-Euclidean space E42 . Finally, we give an example illustrated with Mathematica Programme.
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: Annals of Mathematics
سال: 2015
ISSN: 0003-486X
DOI: 10.4007/annals.2015.181.1.4