Mathematical Memorandum

Here is the collection of memorandum of mathematical books which I've read. All linked files in this page are PDF.



1. Memorandum

1.1 My Study

I study probabitlity in Shigekawa laboratory. I had studied partial differential equations, especially Fourier analysis, distribution and function spaces, in Inoue laboratory. Then, I had been interested in random walks and Lebesgue integrals.

However, I prefered to probability so that I moved from Tokyo institute of technology to Kyoto university when I went to master course. I have studied the basis of probability theory -- martingales, Markov chains, Ergodic theory and Brownian motions -- in Shigekawa laboratory.

Now, I study about Markov processes which are generated by pseudo differential operators. But I have to study much more about functional analysis and partial differential equations to deal with this theme. I'm working harder with mind map.

1.2 Textbooks

R.Durrett, Probability : Theory and Examples (third edition), THOMSON
Answers of some exercises

Durrett began to write the fourth edition. See his website for detail.

N.Jacob, Pseudo Differential Operators and Markov Processes volume III, Imperial

H.Kumano-go, Pseudo differential operators, MIT Press

1.3 Other Topics
2008/09/01
2008/09/08
2008/09/10


2. Exercises

Exercises 2009 | (Answers or Hints)




Go Back to Homepage