@book{MSMF_2000_2_83__1_0, author = {Sj\"ostrand, Johannes}, title = {Complete asymptotics for correlations of {Laplace} integrals in the semi-classical limit}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, publisher = {Soci\'et\'e math\'ematique de France}, number = {83}, year = {2000}, doi = {10.24033/msmf.396}, zbl = {01560203}, language = {en}, url = {http://www.numdam.org/item/MSMF_2000_2_83__1_0/} }
TY - BOOK AU - Sjöstrand, Johannes TI - Complete asymptotics for correlations of Laplace integrals in the semi-classical limit T3 - Mémoires de la Société Mathématique de France PY - 2000 IS - 83 PB - Société mathématique de France UR - http://www.numdam.org/item/MSMF_2000_2_83__1_0/ DO - 10.24033/msmf.396 LA - en ID - MSMF_2000_2_83__1_0 ER -
%0 Book %A Sjöstrand, Johannes %T Complete asymptotics for correlations of Laplace integrals in the semi-classical limit %S Mémoires de la Société Mathématique de France %D 2000 %N 83 %I Société mathématique de France %U http://www.numdam.org/item/MSMF_2000_2_83__1_0/ %R 10.24033/msmf.396 %G en %F MSMF_2000_2_83__1_0
Sjöstrand, Johannes. Complete asymptotics for correlations of Laplace integrals in the semi-classical limit. Mémoires de la Société Mathématique de France, Série 2, no. 83 (2000), 114 p. doi : 10.24033/msmf.396. http://numdam.org/item/MSMF_2000_2_83__1_0/
[BJS] Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature, Ann. H. Poincaré, 1(1) (2000), 52-100. | Zbl | MR
, , ,[CC] Ornstein-Zernike behaviour for self-avoiding walks at all non-critical temperatures, Comm. Math. Phys. 105 (1986), 221-238. | MR
, ,[DZ] Phase diagrams of continuous spin systems, Math. problems of stat. phys. and dynamics (R.L. Dobrushin, ed.), Reidel, 1986, 1-123. | Zbl | MR
, ,[H1] On Laplace integrals and transfer operators in large dimension, examples in the non-convex case, Lett. Math. Phys., 38(3) (1996), 297-312. | Zbl | MR
,[H2] 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. | Zbl | MR
,[H3] 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. | Zbl | MR
,[H4] 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. | Zbl | Numdam | MR | EuDML
,[HS] On the correlation for Kac like models in the convex case, J. Stat. Phys., 74(1,2) (1994), 349-409. | Zbl | MR
, ,[J] On the spectral properties of Witten-Laplacians, their range projections and Brascamp-Lieb's inequality, Integr. equ. oper. theory 36 (2000), 288-324. | Zbl | MR
,[K] Irreducible kernels and bound states in λP(Φ)2 models, Ann. Inst. , 31(3) (1979), 173-234. | Numdam
,[MZ] 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
, ,[P] Ornstein-Zernike and analyticity properties for classical lattice spin systems, Ann. of Phys., 115 (1978), 367-387. | Zbl | MR
,[Sc] The particle structure of v-dimensional Ising models at low temperatures, Comm. Math. Phys. 59 (1978), 213-233 | MR
,[Si] The statistical mechanics of lattice gases, Vol. 1, Princeton ser. in physics, Princeton Univ. Press, Princeton 1993 | Zbl | MR
,[S1] Correlation asymptotics and Witten Laplacians, Algebra and Analysis, 8(1) (1996), 160-191. Also St Petersburg J. Math. 8(1) (1997), 123-147. | Zbl | MR
,[S2] Evolution equations in a large number of variables, Math. Nachr. 166 (1994), 17-53. | Zbl | MR
,[S3] Potential wells in high dimensions I, Ann. IHP, ph. théor., 58(1) (1993), 1-41. | Zbl | MR | Numdam
,[S4] Ferromagnetic integrals and maximum principles, Ann. Inst. Fourier, 44(2) (1994), 601-628. | Zbl | MR | Numdam
,[S5] Potential wells in high dimensions II, more about the one well case, Ann. IHP, ph. théor., 58(1) (1993), 43-53. | Zbl | MR | Numdam
,[S6] Exponential convergence of the first eigenvalue divided by the dimension, for certain sequences of Schrödinger operators, Astérisque 210 (1992), 303-326. | Zbl | Numdam
,[SW] Supersymmetric measures and maximum principles in the complex domain. Exponential decay of Green's functions, Ann. Sci. ENS, 4ème série, 32 (1999), 347-414. | Zbl | MR | Numdam
, ,[W] Supersymmetry, Witten complex and asymptotics for directional Lyapunov exponents in Zd, Prepublication 99-39, Université de Paris Sud, mathématiques.
,[Wi] Supersymmetry and Morse theory, J. Diff. Geom. 17 (1982), 661-692. | Zbl | MR
,[Z1] A short course on the Pirogov-Sinai theory, Rend. di Matematica, Ser. VII, 18, Roma (1998), 411-486. | Zbl | MR
,[Z2] Contour methods and Pirogov Sinai theory for continuous spin lattice models, Preprint, 1999.
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