Kôhei Uchiyama is a professor emeritus of mathematics at the Tokyo Institute of Technology, where he obtained his doctorate in science in 1978. After working at Ryukyu University, Nara Women's University, and Hiroshima University, he moved to the Tokyo Institute of Technology in 1998. While working on various problems concerning statistical mechanics, he has continued interest in Brownian motion and random walks throughout his academic career.

• Preface.- Introduction.- Preliminaries.- Bounds of the Potential Function.- Some Explicit Asymptotic Forms of a(x).- Applications Under m+/m → 0.- The Two-Sided Exit Problem – General Case.- The Two-Sided Exit Problem for Relatively Stable Walks.- Absorption Problems for Asymptotically Stable Random Walks.- Asymptotically Stable RandomWalks Killed Upon Hitting a Finite Set.- Appendix.- References.- Notation Index.- Subject Index.

Kôhei Uchiyama is a professor emeritus of mathematics at the Tokyo Institute of Technology, where he obtained his doctorate in science in 1978. After working at Ryukyu University, Nara Women's University, and Hiroshima University, he moved to the Tokyo Institute of Technology in 1998. While working on various problems concerning statistical mechanics, he has continued interest in Brownian motion and random walks throughout his academic career.

• Preface.- Introduction.- Preliminaries.- Bounds of the Potential Function.- Some Explicit Asymptotic Forms of a(x).- Applications Under m+/m → 0.- The Two-Sided Exit Problem – General Case.- The Two-Sided Exit Problem for Relatively Stable Walks.- Absorption Problems for Asymptotically Stable Random Walks.- Asymptotically Stable RandomWalks Killed Upon Hitting a Finite Set.- Appendix.- References.- Notation Index.- Subject Index.

Kôhei Uchiyama is a professor emeritus of mathematics at the Tokyo Institute of Technology, where he obtained his doctorate in science in 1978. After working at Ryukyu University, Nara Women's University, and Hiroshima University, he moved to the Tokyo Institute of Technology in 1998. While working on various problems concerning statistical mechanics, he has continued interest in Brownian motion and random walks throughout his academic career.

• Preface.- Introduction.- Preliminaries.- Bounds of the Potential Function.- Some Explicit Asymptotic Forms of a(x).- Applications Under m+/m → 0.- The Two-Sided Exit Problem – General Case.- The Two-Sided Exit Problem for Relatively Stable Walks.- Absorption Problems for Asymptotically Stable Random Walks.- Asymptotically Stable RandomWalks Killed Upon Hitting a Finite Set.- Appendix.- References.- Notation Index.- Subject Index.