Continuous-time random walks To give a continuous-time walk, imagine discretizing time into intervals of length St: - a) Starting at Xo =0, let 1 Xitost - Xj.st+ft w/ prob. % * {Xgist-It w/prob." Explain why this is not interesting when we take stro. (Hint: Look at EXt and Var Xx.) b) Instead, try the rule Xejti se = { Xj se tist w/ prob. lot ?Xj.ft -Jff w/prob." Plot some sample rons of X, for small ft. What is Var (X+)? Using a computer, estimate Continuous-time random walks To give a continuous-time walk, imagine discretizing time into intervals of length St: - a) Starting at Xo =0, let 1 Xitost - Xj.st+ft w/ prob. % * {Xgist-It w/prob." Explain why this is not interesting when we take stro. (Hint: Look at EXt and Var Xx.) b) Instead, try the rule Xejti se = { Xj se tist w/ prob. lot ?Xj.ft -Jff w/prob." Plot some sample rons of X, for small ft. What is Var (X+)? Using a computer, estimate