2017
Том 69
№ 9

All Issues

Laplacian Generated by the Gaussian Measure and Ergodic Theorem

Bogdanskii Yu. V., Sanzharevskii Ya. Yu.


Abstract

We consider the Laplacian generated by the Gaussian measure on a separable Hilbert space and prove the ergodic theorem for the corresponding one-parameter semigroup.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 9, pp 1316-1326.

Citation Example: Bogdanskii Yu. V., Sanzharevskii Ya. Yu. Laplacian Generated by the Gaussian Measure and Ergodic Theorem // Ukr. Mat. Zh. - 2015. - 67, № 9. - pp. 1172-1180.