TWO-PARAMETER HOMOGENEOUS MARKOVIAN PROCESS

Cairoli defined a two-parameter transition function （"Transition function" is written as t.f. briefly afterwards） on a measurable space (E, （?） as functions ps,t（x,y, z, B）, s, t>0 on E3×（?）, which satisfy the following conditions （for all s, t>0）: （1）For every fixed （x, y, z）∈E3, ps,t（x, y, z, B） is a probability on B; （2） For fixed B∈（?）, ps,t（x, y, z, B） is （?）3-measurable; （3） For all （x, y,z）∈E3, ξ∈E, B∈（?） and u,v>0,