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Volumn 10, Issue 3, 2011, Pages 567-634

Tunnel effect and symmetries for Kramers-Fokker-Planck type operators

Author keywords

eigenvalue splitting; Fokker Planck; Semiclassical analysis; tunnel effect

Indexed keywords


EID: 79959325321     PISSN: 14747480     EISSN: 14753030     Source Type: Journal    
DOI: 10.1017/S1474748011000028     Document Type: Article
Times cited : (58)

References (17)
  • 1
    • 18144362474 scopus 로고    scopus 로고
    • The hypoelliptic Laplacian on the cotangent bundle
    • J. M. BlSMUT, The hypoelliptic Laplacian on the cotangent bundle, J. Am. Math. Soc. 18 (2005), 379-476.
    • (2005) J. Am. Math. Soc. , vol.18 , pp. 379-476
    • Blsmut, J.M.1
  • 2
    • 84980156652 scopus 로고
    • Hypoelliptic operators with double characteristics and related pseudo-differential operators
    • L. BoUTET DE MoNVEL, Hypoelliptic operators with double characteristics and related pseudo-differential operators, Commun. Pure Appl. Math. 27 (1974), 585-639.
    • (1974) Commun. Pure Appl. Math. , vol.27 , pp. 585-639
    • Boutet, L.1    De Monvel2
  • 3
    • 4644347796 scopus 로고    scopus 로고
    • Metastability in reversible diffusion processes I. Sharp asymptotics for capacities and exit times
    • A. BoVIER, M. Eckhoff, V. GAYRARD AND M. KLEiN, Metastability in reversible diffusion processes, I, Sharp asymptotics for capacities and exit times, J. Eur. Math. Soc. 6(4) (2004), 399-424. (Pubitemid 39443670)
    • (2004) Journal of the European Mathematical Society , vol.6 , Issue.4 , pp. 399-424
    • Bovier, A.1    Eckhoff, M.2    Gayrard, V.3    Klein, M.4
  • 4
    • 12844257523 scopus 로고    scopus 로고
    • Metastability in reversible diffusion processes II. Precise asymptotics for small eigenvalues
    • A. BoVIER, V. GAYRARD AND M. KLEiN, Metastability in reversible diffusion processes, II, Precise asymptotics for small eigenvalues, J. Eur. Math. Soc. 7(1) (2005), 69-99. (Pubitemid 40166999)
    • (2005) Journal of the European Mathematical Society , vol.7 , Issue.1 , pp. 69-99
    • Bovier, A.1    Gayrard, V.2    Klein, M.3
  • 5
    • 11844284804 scopus 로고    scopus 로고
    • Spectra of PT-symmetric operators and perturbationtheory
    • S. GRAFFI, E. CALICETTI AND J. SJÖSTRAND, Spectra of PT-symmetric operators and perturbationtheory, J. Phys. A38(1) (2005), 185-193.
    • (2005) J. Phys. , vol.A38 , Issue.1 , pp. 185-193
    • Graffi, S.1    Calicetti, E.2    Sjöstrand, J.3
  • 6
    • 34547798546 scopus 로고    scopus 로고
    • PT symmetric non-self-adjoint operators, diagonalizable and non-diagonalizable, with real discrete spectrum
    • S. GRAFFI, E. CALICETTI AND J. SJÖSTRAND, PT symmetric non-self-adjoint operators, diagonalizable and non-diagonalizable, with real discrete spectrum, J. Phys. A40(33) (2007), 10155-10170.
    • (2007) J Phys. , vol.A40 , Issue.33 , pp. 10155-10170
    • Graffi, S.1    Calicetti, E.2    Sjöstrand, J.3
  • 7
    • 22544444988 scopus 로고    scopus 로고
    • Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
    • Springer
    • B. HELFFER AND F. NiER, Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians, Lecture Notes in Mathematics, Volume 1862 (Springer, 2005).
    • (2005) Lecture Notes in Mathematics , vol.1862
    • Helffer, B.1    Nier, F.2
  • 8
    • 0001749002 scopus 로고
    • Puits multiples en ḿecanique semi-classique IV Étude du complexe de Witten Commun
    • B. HELFFER AND J. SJÖSTRAND, Puits multiples en ḿecanique semi-classique, IV, Étude du complexe de Witten, Commun. PDEs 10(3) (1985), 245-340.
    • (1985) PDEs , vol.10 , Issue.3 , pp. 245-340
    • Helffer, B.1    Sjöstrand, J.2
  • 9
    • 42749090862 scopus 로고    scopus 로고
    • Quantitative analysis ofmetastability in reversible diffusion processes via a Witten complex approach
    • B. HELFFER, M. KLEiN AND F. NiER, Quantitative analysis ofmetastability in reversible diffusion processes via a Witten complex approach, Mat. Contemp. 26 (2004), 41-85.
    • (2004) Mat. Contemp. , vol.26 , pp. 41-85
    • Helffer, B.1    Klein, M.2    Nier, F.3
  • 10
    • 1142264370 scopus 로고    scopus 로고
    • Isotropic Hypoellipticity and Trend to Equilibrium for the Fokker-Planck Equation with a High-Degree Potential
    • DOI 10.1007/s00205-003-0276-3
    • F. HÉRAU AND F. NlER, Isotropic hypoellipticity and trend to equilibrium for the Fokker-Planckequationwithahigh-degreepotential, Arch. Ration. Mech. Analysis 171(2) (2004), 151-218. (Pubitemid 38214270)
    • (2004) Archive for Rational Mechanics and Analysis , vol.171 , Issue.2 , pp. 151-218
    • Herau, F.1    Nier, F.2
  • 13
    • 77955479104 scopus 로고    scopus 로고
    • Tunnel effect for Kramers-Fokker-Planck type operators: Return to equilibrium and applications
    • F. HÉRAU, M. HlTRIK AND J. SJÖSTRAND, Tunnel effect for Kramers-Fokker-Planck type operators: return to equilibrium and applications, Int. Math. Res. Not. 2008 (2008), rnn057.
    • (2008) Int. Math. Res. Not. , vol.2008
    • Hérau, F.1    Hltrik, M.2    Sjöstrand, J.3
  • 14
    • 84874950126 scopus 로고    scopus 로고
    • Small singular values of an extracted matrix of a Witten complex
    • D. LE PEUTREC, Small singular values of an extracted matrix of a Witten complex, CUBO 11(4) (2009), 49-57.
    • (2009) CUBO , vol.11 , Issue.4 , pp. 49-57
    • Peutrec, D.L.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.