On the Random Walks of Geometrical Forms in Two-Dimensions
نویسنده
چکیده
I show how to design the value of the diffusion constant D for the random walks of Squares and Triangles over their respective regular lattice in two-dimensions. By allowing movements to grid locations other than nearest neighbors, I can design the value of the diffusion constant D to a value larger that unity (the default) or to a value less than unity.
منابع مشابه
A 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 ...
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