Before revision:  In particular, we are interested in density expansions of the projection (X_T^1,...,X_T^l), at time T>0, with l \leq d. Global conditions are found which replace the well-known "not-in-cutlocus" condition known from heat-kernel asymptotics ; cf. G. Ben Arous (1988).
After revision:  In particular, we are interested in density expansions of the projection (X_T^1,...,X_T^l), at time T>0, with l \leq d. Global conditions are found which replace the well-known "not-in-cutlocus" condition known from heat-kernel asymptotics .