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Volumn 36, Issue 2, 2000, Pages 127-151

Asymptotics of a dynamic random walk in a random scenery: I. Law of large numbers

Author keywords

Continued fractions; Denjoy Koksma's inequality; Low discrepancy sequences; Random scenery; Random walk

Indexed keywords


EID: 0041728822     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0246-0203(00)00119-9     Document Type: Article
Times cited : (15)

References (17)
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  • 2
    • 0001302802 scopus 로고
    • A central limit theorem for two-dimensional random walks in random sceneries
    • Bolthausen E. A central limit theorem for two-dimensional random walks in random sceneries. Ann. Probab. Vol. 17:(1):1989;108-115.
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  • 3
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    • Dynamic random walk in a random scenery
    • Guillotin N. Dynamic random walk in a random scenery. C. R. Acad. Sci. Paris Série I. Vol. 324:1997;231-234.
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    • Guillotin, N.1
  • 4
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    • Asymptotics of a dynamic random walk in a random scenery: II. A functional limit theorem
    • to appear
    • Guillotin N., Asymptotics of a dynamic random walk in a random scenery: II. A functional limit theorem, Markov Processes and Related Fields, to appear.
    • Markov Processes and Related Fields
    • Guillotin, N.1
  • 6
    • 0002456153 scopus 로고
    • A limit theorem related to a new class of self-similar processes
    • Kesten H., Spitzer F. A limit theorem related to a new class of self-similar processes. Z. Wahrsch. Verw. Gebiete. Vol. 50:1979;5-25.
    • (1979) Z. Wahrsch. Verw. Gebiete , vol.50 , pp. 5-25
    • Kesten, H.1    Spitzer, F.2
  • 8
    • 0002035176 scopus 로고
    • Extension of the Pirogov-Sinai theory to a class of quasiperiodic interactions
    • Koukiou F., Petritis D., Zahradník M. Extension of the Pirogov-Sinai theory to a class of quasiperiodic interactions. Comm. Math. Phys. Vol. 118:1988;365-383.
    • (1988) Comm. Math. Phys. , vol.118 , pp. 365-383
    • Koukiou, F.1    Petritis, D.2    Zahradník, M.3
  • 10
    • 0010787447 scopus 로고
    • Familles de suites à discrépance faible obtenues par itérations de transformations de [0,1]
    • Lapeyre B., Pagès G. Familles de suites à discrépance faible obtenues par itérations de transformations de [0,1] . C. R. Acad. Sci. Paris Série I. Vol. 308:1989;507-509.
    • (1989) C. R. Acad. Sci. Paris Série I , vol.308 , pp. 507-509
    • Lapeyre, B.1    Pagès, G.2
  • 12
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    • Limit theorems for random walks with dynamical random transitions
    • Lin M., Rubshtein B., Wittmann R. Limit theorems for random walks with dynamical random transitions. Probab. Theory Related Fields. Vol. 100:1994;285-300.
    • (1994) Probab. Theory Related Fields , vol.100 , pp. 285-300
    • Lin, M.1    Rubshtein, B.2    Wittmann, R.3
  • 15
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    • Schmidt W.M. Simultaneous approximation to algebraic numbers by rationals. Acta Math. Vol. 125:1970;189-201.
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    • Schmidt, W.M.1
  • 16
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    • Random walks in a random environment
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    • Solomon, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.