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Volumn 14, Issue 4, 2004, Pages 715-733

On the convergence to equilibrium of Brownian motion on compact simple Lie groups

Author keywords

Brownian motion; compact irreducible symmetric spaces; compact simple Lie groups; heat diffusion; spectral gap

Indexed keywords


EID: 84867922139     PISSN: 10506926     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02922178     Document Type: Article
Times cited : (7)

References (24)
  • 1
    • 0002925263 scopus 로고
    • L'hypercontractivité et son utilisation en théorie des semigroupes
    • 10.1007/BFb0073872 1307413
    • D. Bakry 1994 L'hypercontractivité et son utilisation en théorie des semigroupes Lecture Notes in Math. 1581 1 114 10.1007/BFb0073872 1307413
    • (1994) Lecture Notes in Math. , vol.1581 , pp. 1-114
    • Bakry, D.1
  • 2
    • 0031283590 scopus 로고    scopus 로고
    • Elliptic diffusions on infinite products
    • 1491812 0887.58061
    • A. Bendikov L. Saloff-Coste 1997 Elliptic diffusions on infinite products J. Reine Angew. Math. 493 171 220 1491812 0887.58061
    • (1997) J. Reine Angew. Math. , vol.493 , pp. 171-220
    • Bendikov, A.1    Saloff-Coste, L.2
  • 3
    • 0001310034 scopus 로고    scopus 로고
    • Potential theory on infinite products and groups
    • 10.1023/A:1008654925672 1719845 0953.47029
    • A. Bendikov L. Saloff-Coste 1999 Potential theory on infinite products and groups Potential Analysis 11 325 358 10.1023/A:1008654925672 1719845 0953.47029
    • (1999) Potential Analysis , vol.11 , pp. 325-358
    • Bendikov, A.1    Saloff-Coste, L.2
  • 4
    • 0036882782 scopus 로고    scopus 로고
    • Some dichotomy results for central Gaussian convolution semigroups on compact groups
    • 10.1007/s00440-002-0228-0 1942323 1041.28012
    • A. Bendikov L. Saloff-Coste 2002 Some dichotomy results for central Gaussian convolution semigroups on compact groups Probab. Theor. Relat. Fields 124 561 573 10.1007/s00440-002-0228-0 1942323 1041.28012
    • (2002) Probab. Theor. Relat. Fields , vol.124 , pp. 561-573
    • Bendikov, A.1    Saloff-Coste, L.2
  • 14
    • 0000614531 scopus 로고    scopus 로고
    • The geometry of Markov diffusion generators
    • 1813804 0980.60097
    • M. Ledoux 2000 The geometry of Markov diffusion generators Ann. Fac. Sci. Toulouse 9 305 366 1813804 0980.60097
    • (2000) Ann. Fac. Sci. Toulouse , vol.9 , pp. 305-366
    • Ledoux, M.1
  • 15
    • 51249182089 scopus 로고
    • Eigenvalue estimates on homogeneous manifolds
    • 10.1007/BF02566692 0451.53036
    • P. Li 1980 Eigenvalue estimates on homogeneous manifolds Comment. Math. Helvetici 55 347 363 10.1007/BF02566692 0451.53036
    • (1980) Comment. Math. Helvetici , vol.55 , pp. 347-363
    • Li, P.1
  • 17
    • 38249041598 scopus 로고
    • Hypercontractivity and the Bakry-Emery criterion for compact Lie groups
    • 10.1016/0022-1236(86)90025-X 826433 0589.58036
    • O. Rothaus 1986 Hypercontractivity and the Bakry-Emery criterion for compact Lie groups J. Funct. Anal. 65 358 367 10.1016/0022-1236(86)90025-X 826433 0589.58036
    • (1986) J. Funct. Anal. , vol.65 , pp. 358-367
    • Rothaus, O.1
  • 18
    • 51249168651 scopus 로고
    • Precise estimates on the rate at which certain diffusions tend to equilibrium
    • 10.1007/BF02571965 1306030 0815.60074
    • L. Saloff-Coste 1994 Precise estimates on the rate at which certain diffusions tend to equilibrium Math. Z. 217 641 677 10.1007/BF02571965 1306030 0815.60074
    • (1994) Math. Z. , vol.217 , pp. 641-677
    • Saloff-Coste, L.1
  • 19
    • 0039605295 scopus 로고
    • Convergence to equilibrium and logarithmic Sobolev constant on manifolds with Ricci curvature bounded below
    • 1292948 0816.53027
    • L. Saloff-Coste 1994 Convergence to equilibrium and logarithmic Sobolev constant on manifolds with Ricci curvature bounded below Coll. Math. 67 109 121 1292948 0816.53027
    • (1994) Coll. Math. , vol.67 , pp. 109-121
    • Saloff-Coste, L.1
  • 20
    • 0000858580 scopus 로고    scopus 로고
    • Lectures on finite Markov chains
    • 10.1007/BFb0092621 1490046
    • L. Saloff-Coste 1997 Lectures on finite Markov chains Lecture Notes in Math. 1665 301 413 10.1007/BFb0092621 1490046
    • (1997) Lecture Notes in Math. , vol.1665 , pp. 301-413
    • Saloff-Coste, L.1
  • 23
    • 2542428916 scopus 로고    scopus 로고
    • Mixing times of lozenge tiling and card shuffling Markov chains
    • 10.1214/aoap/1075828054 2023023 1040.60063
    • D. Wilson 2004 Mixing times of lozenge tiling and card shuffling Markov chains Ann. Appl. Probab. 14 274 325 10.1214/aoap/1075828054 2023023 1040.60063
    • (2004) Ann. Appl. Probab. , vol.14 , pp. 274-325
    • Wilson, D.1
  • 24
    • 0002439763 scopus 로고
    • The geometry and structure of isotropy irreducible homogeneous spaces
    • 10.1007/BF02394607 223501 0157.52102
    • J. A. Wolf 1968 The geometry and structure of isotropy irreducible homogeneous spaces Acta Math. 120 59 148 10.1007/BF02394607 223501 0157.52102
    • (1968) Acta Math. , vol.120 , pp. 59-148
    • Wolf, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.