This course is an advanced topics course on discrete probability and stochastic processes for well prepared graduate students. The lectures will be entirely online delivered via ipad. Attendance is optional but usually students attend regularly to keep up as the course will not have a textbook. Lectures will be recorded and made available. The course will contain a take home midterm and projects. Lecturer plans to meet students individually or in groups to discuss projects. These meetings might be in person or by zoom, depending on the Covid situation.