Recherche et téléchargement d’archives de revues mathématiques numérisées

  Table des matières de ce fascicule
Sjöstrand, Johannes
Complete asymptotics for correlations of Laplace integrals in the semi-classical limit. Mémoires de la Société Mathématique de France, Sér. 2, 83 (2000), p. 1-104
Texte intégral djvu | pdf | Analyses Zbl 01560203 | 1 citation dans Numdam

URL stable:


[BJS] V. Bach, T. Jecko, J. Sjöstrand, Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature, Ann. H. Poincaré, 1(1) (2000), 52-100.  MR 2001h:82009 |  Zbl 01533502
[CC] J.T. Chayes, L. Chayes, Ornstein-Zernike behaviour for self-avoiding walks at all non-critical temperatures, Comm. Math. Phys. 105 (1986), 221-238.
Article |  MR 87k:82008
[DZ] R.L. Dobrushin, M. Zahradnik, Phase diagrams of continuous spin systems, Math. problems of stat. phys. and dynamics (R.L. Dobrushin, ed.), Reidel, 1986, 1-123.  MR 88k:82015 |  Zbl 0611.58025
[H1] B. Helffer, On Laplace integrals and transfer operators in large dimension, examples in the non-convex case, Lett. Math. Phys., 38(3) (1996), 297-312.  MR 97j:81075 |  Zbl 0861.47051
[H2] B. Helffer, Remarks on the decay of correlations and Witten's laplacians, Brascamp-Lieb inequalities and semi-classical limit, J. Funct. An. 155(2) (1998), 571-586.  MR 2000g:82004 |  Zbl 0921.35141
[H3] B. Helffer, Remarks on the decay of correlations and Witten's laplacians -II. Analysis of the dependence of the interaction, Rev. Math. Phys. 11(3) (1999), 321-336.  MR 2000g:82005 |  Zbl 01540544
[H4] B. Helffer, Remarks on the decay of correlations and Witten's laplacians -III. Applications to logarithmic Sobolev inequalities, Ann. IHP Proba. Stat., 35(4) (1999), 483-508.
Numdam |  MR 2000g:82006 |  Zbl 01340477
[HS] B. Helffer, J. Sjöstrand, On the correlation for Kac like models in the convex case, J. Stat. Phys., 74(1,2) (1994), 349-409.  MR 95g:82022 |  Zbl 0946.35508
[J] J. Johnsen, On the spectral properties of Witten-Laplacians, their range projections and Brascamp-Lieb's inequality, Integr. equ. oper. theory 36 (2000), 288-324.  MR 2001m:58049 |  Zbl 01454719
[K] H. Koch, Irreducible kernels and bound states in λP(Φ)2 models, Ann. Inst. H. Poincaré, 31(3) (1979), 173-234.
[MZ] R. Minlos, E. Zhizhina, Asymptotics of the decay of correlations for Gibbs spin fields, Teoret. Mat. Fiz. 77(1) (1988), 3-12, translation in Theoret. and Math. Phys. 77(1) (1988), 1003-1009.  MR 90d:82009
[P] P.J. Paes-Leme, Ornstein-Zernike and analyticity properties for classical lattice spin systems, Ann. of Phys., 115 (1978), 367-387.  MR 80a:81044 |  Zbl 0397.42011
[Sc] R.S. Schor, The particle structure of v-dimensional Ising models at low temperatures, Comm. Math. Phys. 59 (1978), 213-233
Article |  MR 58 #4122
[Si] B. Simon, The statistical mechanics of lattice gases, Vol. 1, Princeton ser. in physics, Princeton Univ. Press, Princeton 1993  MR 95a:82001 |  Zbl 0804.60093
[S1] J. Sjöstrand, Correlation asymptotics and Witten Laplacians, Algebra and Analysis, 8(1) (1996), 160-191. Also St Petersburg J. Math. 8(1) (1997), 123-147.  MR 97g:58168 |  Zbl 0877.35084
[S2] J. Sjöstrand, Evolution equations in a large number of variables, Math. Nachr. 166 (1994), 17-53.  MR 95h:35094 |  Zbl 0837.35061
[S3] J. Sjöstrand, Potential wells in high dimensions I, Ann. IHP, ph. théor., 58(1) (1993), 1-41.
Numdam |  MR 94k:81055a |  Zbl 0770.35050
[S4] J. Sjöstrand, Ferromagnetic integrals and maximum principles, Ann. Inst. Fourier, 44(2) (1994), 601-628.
Numdam |  MR 95h:81015 |  Zbl 0831.35031
[S5] J. Sjöstrand, Potential wells in high dimensions II, more about the one well case, Ann. IHP, ph. théor., 58(1) (1993), 43-53.
Numdam |  MR 94k:81055b |  Zbl 0770.35051
[S6] J. Sjöstrand, Exponential convergence of the first eigenvalue divided by the dimension, for certain sequences of Schrödinger operators, Astérisque 210 (1992), 303-326.  Zbl 0796.35123
[SW] J. Sjöstrand, W.M. Wang, Supersymmetric measures and maximum principles in the complex domain. Exponential decay of Green's functions, Ann. Sci. ENS, 4ème série, 32 (1999), 347-414.
Numdam |  MR 2000h:82050 |  Zbl 0941.47033
[W] W.M. Wang, Supersymmetry, Witten complex and asymptotics for directional Lyapunov exponents in Zd, Prepublication 99-39, Université de Paris Sud, mathématiques.
[Wi] E. Witten, Supersymmetry and Morse theory, J. Diff. Geom. 17 (1982), 661-692.  MR 84b:58111 |  Zbl 0499.53056
[Z1] M. Zahradnik, A short course on the Pirogov-Sinai theory, Rend. di Matematica, Ser. VII, 18, Roma (1998), 411-486.  MR 2001m:82026 |  Zbl 0927.60087
[Z2] M. Zahradnik, Contour methods and Pirogov Sinai theory for continuous spin lattice models, Preprint, 1999.
Copyright Cellule MathDoc 2016 | Crédit | Plan du site