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	random walks
	A continuing interest of mine lies in random walks on a cartesian lattice. ... "Normal" random walks are the paths traced out by a random walker who takes one step along a line of the graph paper lat each tick of a clock. ... These normal random walks are very well understood and many of their mathematical properties are very well known. Among the interesting properties of such walks is the fact that, on average, the distance between the current position of the random walker and the his or her starting point increases proportional to the square root of the number of steps taken. ... On average, the normal random walk is symmetric. ... This is just one example of rather surprising results one finds in studying random walks. Approximate Word count = 566 Approximate Pages = 2.3 (250 words per page double spaced)

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