RANDOM-WALK AND THE HEAT-EQUATION ON SUPERSPACE AND ANYSPACE

Authors
MAJID S RODRIGUEZPLAZA MJ
Citation
S. Majid et Mj. Rodriguezplaza, RANDOM-WALK AND THE HEAT-EQUATION ON SUPERSPACE AND ANYSPACE, Journal of mathematical physics, 35(7), 1994, pp. 3753-3760
Citations number
12
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
7
Year of publication
1994
Pages
3753 - 3760
Database
ISI
SICI code
0022-2488(1994)35:7<3753:RATHOS>2.0.ZU;2-I
Abstract
Random walks are used to study diffusion on anyspace. Anyspace is char acterized by coordinate xi with xi(N)=0 and statistics xixi'=e2pii/N x i' xi between independent copies. Anyonic integration and anyonic Dira c delta functions are introduced, and reduced to familiar results for supersymmetry when N=2. These ingredients are then used to formulate a nd solve the resulting anyonic diffusion equation.