Revision as of 01:49, 15 June 2024 by Admin (Created page with "Using the result proved for the random walk in <math>{\mathbf R}^3</math> in Example, explain why the probability of an eventual return in <math>{\mathbf R}^n</math> is strictly less than one, for all <math>n \ge 3</math>. '' Hint'': Consider a random walk in <math>{\mathbf R}^n</math> and disregard all but the first three coordinates of the particle's position.")
ABy Admin
Jun 15'24
Exercise
Using the result proved for the random walk in [math]{\mathbf R}^3[/math] in Example, explain why the probability of an eventual return in [math]{\mathbf R}^n[/math] is strictly less than one, for all [math]n \ge 3[/math]. Hint: Consider a random walk in [math]{\mathbf R}^n[/math] and disregard all but the first three coordinates of the particle's position.