Limit theorems for one-dimensional diffusions and random walks in random environments

1989 ◽  
Vol 80 (4) ◽  
pp. 501-541 ◽  
Author(s):  
Kiyoshi Kawazu ◽  
Yozo Tamura ◽  
Hiroshi Tanaka
Keyword(s):  
Random Walks ◽  
Limit Theorems ◽  
Random Environments ◽  
One Dimensional

Limit theorems and absorption problems for quantum radom walks in one dimension

2002 ◽  
Vol 2 (Special) ◽  
pp. 578-595
Author(s):  
N. Konno
Keyword(s):  
Random Walks ◽  
Limit Theorems ◽  
The Other ◽  
One Dimension ◽  
Unitary Matrices ◽  
Quantum Random Walks ◽  
One Dimensional ◽  
The Difference ◽  
The One

In this paper we consider limit theorems, symmetry of distribution, and absorption problems for two types of one-dimensional quantum random walks determined by $2 \times 2$ unitary matrices using our PQRS method. The one type was introduced by Gudder in 1988, and the other type was studied intensively by Ambainis et al. in 2001. The difference between both types of quantum random walks is also clarified.

Sign in / Sign up

Export Citation Format

Share Document