Processus de diffusion gouverné par la forme de Dirichlet de l'opérateur de Schrödinger
Séminaire de probabilités de Strasbourg (1979)
- Volume: 13, page 557-569
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topCarmona, René. "Processus de diffusion gouverné par la forme de Dirichlet de l'opérateur de Schrödinger." Séminaire de probabilités de Strasbourg 13 (1979): 557-569. <http://eudml.org/doc/113249>.
@article{Carmona1979,
author = {Carmona, René},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {Schrödinger Operator; Markov Process; Diffusion Process; Regularity Properties},
language = {fre},
pages = {557-569},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Processus de diffusion gouverné par la forme de Dirichlet de l'opérateur de Schrödinger},
url = {http://eudml.org/doc/113249},
volume = {13},
year = {1979},
}
TY - JOUR
AU - Carmona, René
TI - Processus de diffusion gouverné par la forme de Dirichlet de l'opérateur de Schrödinger
JO - Séminaire de probabilités de Strasbourg
PY - 1979
PB - Springer - Lecture Notes in Mathematics
VL - 13
SP - 557
EP - 569
LA - fre
KW - Schrödinger Operator; Markov Process; Diffusion Process; Regularity Properties
UR - http://eudml.org/doc/113249
ER -
References
top- [1] S. Albeverio, R. Hoegh-Krohn and L. Streit: Energy Forms,Hamiltonians and Distorted Brownian Paths. J.Math.Phys.18 (1977) 907-917 Zbl0368.60091MR446236
- [2] A.M. Berthier et B. Gaveau: Critère de Convergence des Fonctionnelles de Kac et Application en Mécanique Quantique et en Géométrie. J.Funct.Analysis29 (1978) 416-424. Zbl0398.60076MR512253
- [3] R.N. Bhattacharya: Criteria for Reccurence and Existence of Invariant Measures for Multidimensional Diffusions. Ann. Proba.6 (1978) 541-553. Zbl0386.60056MR494525
- [4] G. Brosamler: Quadratic Variation of Potentials and Harmonic Functions. Trans. Amer. Math. Soc.149 (1970) 243-257. Zbl0248.60057MR270442
- [5] R. Carmona: Regularity Properties of Schrödinger and Dirichlet Semigroups. J. Funct. Analysis ( à paraitre ) Zbl0419.60075MR549115
- [6] W.G. Faris: Self-Adjoint Operators. Lect. Notes in Math.# 433 (1975) Springer Verlag. Zbl0317.47016MR467348
- [7] M. Fukushima: On the Generation of Markov Processes by Symmetric Forms. Proc. 2nd Japan-USSR Symp. Proba. Theory. Lect. Notes in Math.# 330 (1973) 46-79Springer Verlag. Zbl0262.60054MR494513
- [8] M. Fukushima: Local Properties of Dirichlet Forms and Continuity of Sample Paths. Z. Wahrscheinlich. verw. Gebiete29 (1974) 1-6. Zbl0283.60067MR365726
- [9] M. Fukushima: Dirichlet Spaces and Additive Functionals of Finite Energy. Conf. Inter. Math. Helsinki (1978) Zbl0461.60087
- [10] I.V. Girsanov: On Transforming a Class of Stochastic Processes by Absolutely Continuous Substitution of Measures. Theor. Prob. Appl.5 (1960) 285-301. Zbl0100.34004MR133152
- [11] R.Z. Khasminskii: Ergodic Properties of Reccurent Diffusion Processes and Stabilization of the Solution to the Cauchy Problem for Parabolic Equations. Theor. Prob. Appl.5 (1960) 179-196. Zbl0106.12001
- [12] H.P. Mc Kean: Stochastic Integrals. Academic Press (1969). Zbl0191.46603MR247684
- [13] P.A. Meyer: La Formule de Ito pour le Mouvement Brownien d'apres G.Brosamler. Sem. Proba. Strasbourg 1976-77Lect.Notes in Math. # 649 (1978) 763-769Springer Verlag. Zbl0388.60055MR520044
- [14] E. Nelson: Dynamical Theories of Brownian Motion. Princeton Univ. Press (1967) Zbl0165.58502MR214150
- [15] S. Orey: Conditions for the Absolute Continuity of two Diffusions. Trans. Amer. Math. Soc.193 (1974) 413-426. Zbl0303.60071MR370794
- [16] N.I. Portenko: Diffusion Processes with Unbounded Drift Coefficient. Theor. Prob. Appl.20 (1975) 27-37. Zbl0335.60050MR375483
- [17] P. Priouret et M. Yor: Processus de Diffusion à Valeurs dans IR et Mesures Quasi - invariantes sur C(IR,IR). Astérisque22-23 (1975) 247-290. Zbl0316.60051MR496179
- [18] B. Simon: Quantum Mechanics for Hamiltonians Defined as Quadratic Forms. Princeton Series in Physics (1971) Priceton Univ. Press. Zbl0232.47053MR455975
- [19] B. Simon: Functional Integration and Quantum Mechanics. Academic Press ( livre à paraitre ). Zbl0434.28013MR544188
- [20] D.W. Stroock and S.R.S. Varadhan: Diffusion Processes with Continuous Coefficients. Comm. Pure Appl. Math.22 (1969) 345-400. Zbl0167.43903MR253426
- [21] C. Tudor: Diffusions avec Explosion Construites à l'aide des Martingales Exponentielles. Rev. Roum. Math. Pures et Appl.20 (1975) 1187-1199. Zbl0338.60047MR400426
- [22] A.T. Wang: Generalized Ito's Formula and Additive Functionals of Brownian Motion. Z.Wahrscheinlich. verw. Gebiete41 (1977) 153-159. Zbl0349.60081MR488327
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