Asymptotic properties of Markoff transition prababilities

Abstract

Let X be any space of abstract elements, and let ax be any Borel field of X sets, including X itself. Let P(t)(x, A) be a function of xEX, A C8, and the positive real variable t, with the following properties: (a) 0 <P(t)(x, A) <P(t)(x, X) = 1; (b) for fixed x and t, P(0)(x, A) is a completely additive function of sets A; for fixed A and t, P(t)(x, A) is measurable in x with respect to the field a. (c) with a self-explanatory notation for integration with respect to a set function,

Locations

• Transactions of the American Mathematical Society - View - PDF