Revision as of 03:32, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Using the result of Exercise Exercise, make a conjecture for the form of the fundamental matrix if the process moves as in that exercise, except that it now moves on the integers from 1 to <math>n</math>. Test your conj...")
BBy Bot
Jun 09'24
Exercise
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Using the result of Exercise Exercise, make a
conjecture for the form of the fundamental matrix if the process moves as in that exercise, except that it now moves on the integers from 1 to [math]n[/math]. Test your conjecture for several different values of [math]n[/math]. Can you conjecture an estimate for the expected number of steps to reach state [math]n[/math], for large [math]n[/math]? (See Exercise \ref{exer 11.2.10.5} for a method of determining this expected number of steps.)