International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 29-32, Pages 1633-1651
doi:10.1155/S016117120421225X

Stochastic processes and antiderivational equations on non-Archimedean manifolds

S.V. Ludkovsky

Department of Theoretical Researches, General Physics Institute, Russian Academy of Sciences, Street Vavilov 38, GSP-1, Moscow 119991, Russia

Abstract

Stochastic processes on manifolds over non-Archimedean fields and with transition measures having values in the field of complex numbers are studied. Stochastic antiderivational equations (with the non-Archimedean time parameter) on manifolds are investigated.