메뉴 건너뛰기




Volumn 59, Issue , 2008, Pages 331-344

Attractors for Ergodic and Monotone Random Dynamical Systems

Author keywords

attractor; diffusion; isotropic flow; monotone system; Random dynamical system

Indexed keywords


EID: 67349260089     PISSN: 10506977     EISSN: 22970428     Source Type: Book Series    
DOI: 10.1007/978-3-7643-8458-6_18     Document Type: Chapter
Times cited : (8)

References (21)
  • 1
    • 0004034319 scopus 로고    scopus 로고
    • Random Dynamical Systems
    • L. Arnold, Random Dynamical Systems, Springer, 1998.
    • (1998) Springer
    • Arnold, L.1
  • 2
    • 21844488246 scopus 로고
    • Perfect cocycles through stochastic differential equations
    • L. Arnold and M. Scheutzow, Perfect cocycles through stochastic differential equations, Probab. Theory Relat. Fields, 101 (1) (1995), 65–88.
    • (1995) Probab. Theory Relat. Fields , vol.101 , Issue.1 , pp. 65-88
    • Arnold, L.1    Scheutzow, M.2
  • 3
    • 85145049734 scopus 로고    scopus 로고
    • Diffusions and Elliptic Operators
    • R. Bass, Diffusions and Elliptic Operators, Springer, 1998.
    • (1998) Springer
    • Bass, R.1
  • 4
    • 0000169603 scopus 로고
    • Isotropic stochastic flows
    • P. Baxendale and T. Harris, Isotropic stochastic flows, Ann. Probab., 14 (4) (1986), 1155–1179.
    • (1986) Ann. Probab. , vol.14 , Issue.4 , pp. 1155-1179
    • Baxendale, P.1    Harris, T.2
  • 5
    • 0001609221 scopus 로고
    • Criteria for recurrence and existence of invariant measures for multidimensional diffusions
    • R. N. Bhattacharya, Criteria for recurrence and existence of invariant measures for multidimensional diffusions, Ann. Probab., 6 (2) (1978), 541–553.
    • (1978) Ann. Probab. , vol.6 , Issue.2 , pp. 541-553
    • Bhattacharya, R.N.1
  • 7
    • 2942582414 scopus 로고    scopus 로고
    • On the structure of attractors and invariant measures for a class of monotone random systems
    • I. Chueshov and M. Scheutzow, On the structure of attractors and invariant measures for a class of monotone random systems, Dynamical Systems: An International Journal, 19 (2) (2004), 127–144.
    • (2004) Dynamical Systems: An International Journal , vol.19 , Issue.2 , pp. 127-144
    • Chueshov, I.1    Scheutzow, M.2
  • 9
    • 0035322004 scopus 로고    scopus 로고
    • Random point attractors versus random set attractors
    • H. Crauel, Random point attractors versus random set attractors, J. London Math. Soc., 63 (2) (2001), 413–427.
    • (2001) J. London Math. Soc. , vol.63 , Issue.2 , pp. 413-427
    • Crauel, H.1
  • 10
    • 21844482698 scopus 로고
    • Attractors for random dynamical systems
    • H. Crauel and F. Flandoli, Attractors for random dynamical systems, Probab. Theory Relat. Fields, 100 (3) (1994), 365–393.
    • (1994) Probab. Theory Relat. Fields , vol.100 , Issue.3 , pp. 365-393
    • Crauel, H.1    Flandoli, F.2
  • 12
    • 85145079537 scopus 로고
    • Positive Solutions of Operator Equations, Noordhoff
    • M. A. Krasnoselskii, Positive Solutions of Operator Equations, Noordhoff, 1964.
    • (1964) Krasnoselskii
  • 13
    • 3543064646 scopus 로고    scopus 로고
    • On random attractors for mixing type systems
    • S. B. Kuksin and A. Shirikyan, On random attractors for mixing type systems, Functional Anal. and its Appl., 38 (1) (2004), 28–37.
    • (2004) Functional Anal. and Its Appl. , vol.38 , Issue.1 , pp. 28-37
    • Kuksin, S.B.1    Shirikyan, A.2
  • 16
    • 85145100266 scopus 로고    scopus 로고
    • H. Lisei and M. Scheutzow, On the dispersion of sets under the action of an isotropic Brownian Flow, in: I. Davies et. al., Editors, Proceedings of the Swansea 2002 Workshop Probabilistic Methods in Fluids, World Scientific, 2003, 224–238.
    • H. Lisei and M. Scheutzow, On the dispersion of sets under the action of an isotropic Brownian Flow, in: I. Davies et. al., Editors, Proceedings of the Swansea 2002 Workshop Probabilistic Methods in Fluids, World Scientific, 2003, 224–238.
    • (2020) Journal of Transport Geography
  • 17
    • 0004264568 scopus 로고    scopus 로고
    • Weak Random Attractors, Institut für Dynamische Systeme, Universität Bremen
    • G. Ochs, Weak Random Attractors, Institut für Dynamische Systeme, Universität Bremen, Report 449, 1999.
    • (1999) Report , pp. 449
    • Ochs, G.1
  • 18
    • 0005193926 scopus 로고    scopus 로고
    • Exact sampling with coupled Markov chains and applications to statistical mechanics
    • J. Propp and D. Wilson, Exact sampling with coupled Markov chains and applications to statistical mechanics, Random Structures and Algorithms, 9 (1-2) (1996), 232–252.
    • (1996) Random Structures and Algorithms , vol.9 , Issue.1-2 , pp. 232-252
    • Propp, J.1    Wilson, D.2
  • 19
    • 0036005048 scopus 로고    scopus 로고
    • Comparison of various concepts of a random attractor: A case study
    • M. Scheutzow, Comparison of various concepts of a random attractor: A case study, Arch. Math., 78 (3) (2002), 233–240.
    • (2002) Arch. Math. , vol.78 , Issue.3 , pp. 233-240
    • Scheutzow, M.1
  • 20
    • 0036821967 scopus 로고    scopus 로고
    • Chasing balls through martingale fields
    • M. Scheutzow and D. Steinsaltz, Chasing balls through martingale fields, Ann. Probab., 30 (4) (2002), 2046–2080.
    • (2002) Ann. Probab. , vol.30 , Issue.4 , pp. 2046-2080
    • Scheutzow, M.1    Steinsaltz, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.