@article{AIHPB_1985__21_2_147_0, author = {Betz, Cristina and Gzyl, Henryk}, title = {Probabilistic approach for comparing first eigenvalues}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {21}, year = {1985}, pages = {147-156}, mrnumber = {798892}, zbl = {0564.60071}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_1985__21_2_147_0} }
Betz, Cristina; Gzyl, Henryk. Probabilistic approach for comparing first eigenvalues. Annales de l'I.H.P. Probabilités et statistiques, Tome 21 (1985) pp. 147-156. http://gdmltest.u-ga.fr/item/AIHPB_1985__21_2_147_0/
[1] Markov processes and Potential theory, Academic Press, New York, 1968. | MR 264757 | Zbl 0169.49204
and ,[2] The asymptotic distribution of the eigenvalues for a class of Markov operators, Pacific Jour. Math., t. 9, 1959, p. 399-408. | MR 107298 | Zbl 0086.33901
and ,[3] Methods of Mathematical physics, t. I. Interscience. New York, 1953. | MR 65391 | Zbl 0051.28802
and ,[4] Stochastic differential equations and applications. Academic Press, New York, 1976.
,[5] Markov operators and their associated semi-groups, Pacific Jour. Jour. Math., t. 9, 1959, p. 449-472. | MR 107297 | Zbl 0086.33804
,[6] On the generation of semigroups of linear operators, Pacific Jour. Math., t. 2, 1952, p. 343-369. | MR 50797 | Zbl 0047.11004
,[7] Isotropic transport process on a Riemannian manifold, T. A. M. S., t. 218, 1976, p. 353-360. | MR 402957 | Zbl 0341.60041
,[8] Topics in harmonic analysis, Annales of Math. Studies # 63. Princeton Univ. Press. Princeton N. J., 1970. | MR 252961 | Zbl 0193.10502
,[9] On stable processes with boundary conditions, Jour. Math. Soc. Jap., t. M, n° 2, 1962, p. 170-198. | MR 144387 | Zbl 0114.33504
,