Probabilistic approach for comparing first eigenvalues

Cristina Betz; Henryk Gzyl

Annales de l'I.H.P. Probabilités et statistiques (1985)

  • Volume: 21, Issue: 2, page 147-156
  • ISSN: 0246-0203

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Betz, Cristina, and Gzyl, Henryk. "Probabilistic approach for comparing first eigenvalues." Annales de l'I.H.P. Probabilités et statistiques 21.2 (1985): 147-156. <http://eudml.org/doc/77253>.

@article{Betz1985,
author = {Betz, Cristina, Gzyl, Henryk},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {time change; first eigenvalues; Hunt processes; stopping times; Laplace operator},
language = {eng},
number = {2},
pages = {147-156},
publisher = {Gauthier-Villars},
title = {Probabilistic approach for comparing first eigenvalues},
url = {http://eudml.org/doc/77253},
volume = {21},
year = {1985},
}

TY - JOUR
AU - Betz, Cristina
AU - Gzyl, Henryk
TI - Probabilistic approach for comparing first eigenvalues
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1985
PB - Gauthier-Villars
VL - 21
IS - 2
SP - 147
EP - 156
LA - eng
KW - time change; first eigenvalues; Hunt processes; stopping times; Laplace operator
UR - http://eudml.org/doc/77253
ER -

References

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  1. [1] R.M. Blumenthal and R.K. Getoor, Markov processes and Potential theory, Academic Press, New York, 1968. Zbl0169.49204MR264757
  2. [2] R.M. Blumenthal and R.K. Getoor, The asymptotic distribution of the eigenvalues for a class of Markov operators, Pacific Jour. Math., t. 9, 1959, p. 399-408. Zbl0086.33901MR107298
  3. [3] R. Courant and D. Hilbert, Methods of Mathematical physics, t. I. Interscience. New York, 1953. Zbl0051.28802MR65391
  4. [4] A. Friedman, Stochastic differential equations and applications. Academic Press, New York, 1976. Zbl0323.60057
  5. [5] R.K. Getoor, Markov operators and their associated semi-groups, Pacific Jour. Jour. Math., t. 9, 1959, p. 449-472. Zbl0086.33804MR107297
  6. [6] R.S. Phillips, On the generation of semigroups of linear operators, Pacific Jour. Math., t. 2, 1952, p. 343-369. Zbl0047.11004MR50797
  7. [7] M.A. Pinsky, Isotropic transport process on a Riemannian manifold, T. A. M. S., t. 218, 1976, p. 353-360. Zbl0341.60041MR402957
  8. [8] E.M. Stein, Topics in harmonic analysis, Annales of Math. Studies # 63. Princeton Univ. Press. Princeton N. J., 1970. Zbl0193.10502MR252961
  9. [9] S. Watanabe, On stable processes with boundary conditions, Jour. Math. Soc. Jap., t. M, n° 2, 1962, p. 170-198. Zbl0114.33504MR144387

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