Sentence examples for kernel measure from inspiring English sources

Let ν be the heat kernel measure at the time 1.

The existence of a heat kernel measure νt on W(G) has been shown in [M.

This paper studies Brownian motion and heat kernel measure on a class of infinite dimensional Lie groups.

In this paper we consider heat kernel measure on loop groups associated to the H1/2-metric.

Cecil, B.K. Driver, Heat kernel measure on loop and path groups, preprint, http://www.math.uconn.edu/~cecil/papers/p2.pdf; Infin.

In particular, we prove that the associated path space measure and heat kernel measure satisfy a strong definition of smoothness.

For the second approach, a generalization of heat kernel measures is needed.

Brownian motion and the corresponding heat kernel measures, {νt}t>0, are also studied.

Inahama, H. Kawabi, Large deviations for heat kernel measures on loop spaces via rough paths, J. London Math.

Integration by parts formulas are established both for Wiener measure on the path space of a loop group and for the heat kernel measures on the loop group.

Figure 8 displays the obtained running time in milliseconds for a single kernel measured using different resolutions with bandwidth parameters h s = 0.02 and h s = 0.05.