Random random walks on the integers mod n

Statistics and Probability Letters

Volumn 35, Issue 4, 1997, Pages 371-379

  Dai, Jack J ^a   Hildebrand, Martin V ^b  

^a IOWA STATE UNIVERSITY   (United States)

^b STATE UNIVERSITY OF NEW YORK   (United States)

Author keywords

Finite groups; Fourier transform; Random walks; Upper bound lemma

Indexed keywords

EID: 0031280930     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(97)00035-7     Document Type: Article

References (8)

1. Chung, F., Diaconis, P., Graham, R., 1987. A random walk problem arising in random number generation. Ann. Probab. 15, 1148-1165.
2. Diaconis, P., 1988. Group Representations in Probability and Statistics. Institute of Mathematical Statistics, Hayward, CA.
3. Dou, C., 1992. Studies of random walks on groups and random graphs. Ph.D. thesis, Department of Mathematics, Massachusetts Institute of Technology.
4. Dou, C., Hildebrand, M., 1996. Enumeration and random random walks on finite groups. Ann. Probab. 24, 987-1000.
5. Feller, W., 1968. An Introduction to Probability Theory and Its Applications, vol. I, 3rd ed., Wiley, New York.
6. Greenhalgh, A., 1989. Random walks on groups with subgroup invariance properties. Ph.D. thesis, Department of Mathematics, Stanford University.
7. Greenhalgh, A., 1990. On a model for random random-walks on finite groups. Unpublished manuscript.
8. Hildebrand, M., 1994. Random walks supported on random points of Z/nZ. Probab. Theory Related Fields 100, 191-203.