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Список литературы
|
|
| |
| 1. |
S. Albeverio, R. Høegh-Krohn, “Homogeneous random fields and statistical mechanics”, J. Funct. Anal., 19 (1975), 242–272    |
| 2. |
S. Albeverio, Yu. G. Kondratiev, R. A. Minlos, A. L. Rebenko, “Small-mass behavior of quantum Gibbs states for lattice models with unbounded spins”, J. Statist. Phys., 92:5–6 (1998), 1153–1172 |
| 3. |
Albeverio S., Kondratiev Yu. G., Pasurek T., Röckner M., BiBoS preprint, 2001 |
| 4. |
S. Albeverio, Yu. G. Kondratiev, M. Röckner, “Ergodicity of $L^2$-semigroups and extremality of Gibbs states”, J. Funct. Anal., 144:2 (1997), 394–423 |
| 5. |
S. Albeverio, Yu. G. Kondratiev, M. Röckner, “Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states”, J. Funct. Anal., 149 (1997), 2 |
| 6. |
S. Albeverio, Yu. G. Kondratiev, M. Röckner, T. V. Tsikalenko, “Uniqueness of Gibbs states for quantum lattice systems”, Probab. Theory Related Fields, 108:2 (1997), 193–218 |
| 7. |
S. Albeverio, Yu. G. Kondratiev, M. Röckner, T. V. Tsikalenko, “A priori estimates and existence of Gibbs measures: a simplified proof”, C. R. Acad. Sci. Paris Sér. I Math., 328:11 (1999), 1049–1054 |
| 8. |
S. Albeverio, Yu. G. Kondratiev, M. Röckner, T. V. Tsikalenko, “A priori estimates for symmetrizing measures and their applications to Gibbs states”, J. Funct. Anal., 171:2 (2000), 366–400 |
| 9. |
S. Albeverio, Yu. G. Kondratiev, M. Röckner, T. V. Tsikalenko, “Glauber dynamics for quantum lattice systems”, Rev. Math. Phys., 13:1 (2001), 51–124 |
| 10. |
V. S. Barbulyak, Yu. G. Kondratiev, “Functional integrals and quantum lattice systems”, Dokl. Akad. Nauk Ukrain. SSR, 8 (1991), 31–34 ; 9 (1991), 38–40 ; 10 (1991), 19–21 |
| 11. |
J. Béllissard, R. Høegh-Krohn, “Compactness and the maximal Gibbs state for random Gibbs fields on a lattice”, Comm. Math. Phys., 84:3 (1982), 297–327  |
| 12. |
M. Cassandro, E. Olivieri, A. Pellegrinotti, E. Presutti, “Existence and uniqueness of DLR measures for unbounded spin systems”, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 41:4 (1977/78), 313–334 |
| 13. |
R. L. Dobrushin, “Prescribing a system of random variables by conditional distributions”, Theory Probab. Appl., 15 (1970), 458–486  |
| 14. |
J. Fröhlich, “Schwinger functions and their generating functionals.
II. Markovian and generalized path space measures on $S^1$”, Advances in Math., 23:2 (1977), 119–180 |
| 15. |
H.-O. Georgii, Gibbs measures and phase transitions, Walter de Gruyter & Co., Berlin, 1988 |
| 16. |
S. A. Globa, Yu. G. Kondratiev, “Construction of the Gibbs states of quantum lattice systems”, Application of methods of functional analysis in problems of mathematical physics, Akad. Nauk Ukrain. SSR Inst. Mat., Kiev, 1987, 4–16 (Russian) ; English transition: Selecta Math. Soviet, 9:3 (1990), 297–307 |
| 17. |
V. A. Malyshev, R. A. Minlos, Gibbs random fields, “Nauka”, Moscow, 1985 (Russian) |
| 18. |
R. A. Minlos, A. Verbeure, V. A. Zagrebnov, “A quantum crystal model in the light-mass limit: Gibbs states”, Rev. Math. Phys., 12:7 (2000), 981–1032 |
| 19. |
H. Osada, H. Spohn, “Gibbs measures relative to Brownian motion”, Ann. Probab., 27:3 (1999), 1183–1207 |
| 20. |
Y. M. Park, H. J. Yoo, “A characterization of Gibbs states of lattice boson systems”, J. Statist. Phys., 75:1-2 (1994), 215–239 |
| 21. |
C. Preston, Random filds, Lecture Notes in Math., 534, Springer-Verlag, Berlin, 1976 |
| 22. |
G. Royer, “Unicité de certaines mesures quasi-invariantes sur $\mathcal C(\mathbb R)$”, Ann. Sci. École Norm. Sup. (4), 8:3 (1975), 319–338 |
