If you’re struggling with understanding the notion of detailed balance, try out this quick challenge problem. Consider RW on the graph pictured below. For what value(s) of , does there exist a measure that satisfies the Detailed Balance condition.
Note! There was a mistake in the earlier version of these solutions. This version is current as of 5 pm Monday, Feb 24. MAP 4102 Homework 3 (pdf) M4102 HW 3 Solutions (pdf)
This is your reminder that the course midterm is coming up soon. It will be in-class and closed book (and closed notes). You will not be allowed to use a calculator. The midterm material will include everything we have covered in class from Durrett, Chapter 1. Definitions, Statements of Theorems, Examples, Counterexamples: 50%. Problem Solving:Continue reading “Stochastics: Midterm Exam, Wednesday Feb 26”
Getting things kicked off on the new website. Here is a list of interesting problems to try from Durrett’s book. Please use the comments feature to ask questions and to start discussions about these problems. I’ll chime in whenever I can. Stationary distributions and limit distributions 1.20, 1.25, 1.38, 1.41, 1.44 Random walks on graphsContinue reading “Stochastics: Suggested Problems for Exam 1”