메뉴 건너뛰기




Volumn 75, Issue 1, 2007, Pages 47-66

Random walks on free products of cyclic groups

Author keywords

[No Author keywords available]

Indexed keywords


EID: 34548021131     PISSN: 00246107     EISSN: 14697750     Source Type: Journal    
DOI: 10.1112/jlms/jdl006     Document Type: Article
Times cited : (26)

References (31)
  • 1
    • 0000566360 scopus 로고
    • Entropie des groupes de type fini
    • A. AVEZ, 'Entropie des groupes de type fini', C. R. Acad. Sci. Paris Sér. A-B 275 (1972) 1363-1366.
    • (1972) C. R. Acad. Sci. Paris Sér. A-B , vol.275 , pp. 1363-1366
    • Avez, A.1
  • 2
    • 84972538219 scopus 로고
    • Random walks on free products, quotients and amalgams
    • D. CARTWRIGHT and P. SOARDI, 'Random walks on free products, quotients and amalgams', Nagoya Math. J. 102 (1986) 163-180.
    • (1986) Nagoya Math. J. , vol.102 , pp. 163-180
    • Cartwright, D.1    Soardi, P.2
  • 3
    • 0009213168 scopus 로고
    • Some examples of random walks on free products of discrete groups
    • D. CARTWRIGHT, 'Some examples of random walks on free products of discrete groups', Ann. Mat. Pura Appl. (4) 151 (1988) 1-15.
    • (1988) Ann. Mat. Pura Appl. , vol.151 , Issue.4 , pp. 1-15
    • Cartwright, D.1
  • 4
    • 0000879277 scopus 로고
    • Quelques applications du théorème ergodique sous-additif
    • Y. DERRIENNIC, 'Quelques applications du théorème ergodique sous-additif', Astérisque 74 (1980) 183-201.
    • (1980) Astérisque , vol.74 , pp. 183-201
    • Derriennic, Y.1
  • 5
    • 0001409010 scopus 로고
    • Random walk on groups with a finite number of generators
    • E. DYNKIN and M. MALYUTOV, 'Random walk on groups with a finite number of generators', Soviet Math. Dokl. 2 (1961) 399-402.
    • (1961) Soviet Math. Dokl. , vol.2 , pp. 399-402
    • Dynkin, E.1    Malyutov, M.2
  • 6
    • 84968508586 scopus 로고
    • Noncommuting random products
    • H. FURSTENBERG, 'Noncommuting random products', Trans. Amer. Math. Soc. 108 (1963) 377-428.
    • (1963) Trans. Amer. Math. Soc. , vol.108 , pp. 377-428
    • Furstenberg, H.1
  • 7
    • 0013547591 scopus 로고
    • Random walks and discrete subgroups of lie groups
    • H. FURSTENBERG, 'Random walks and discrete subgroups of Lie groups', Advances Probab. Related Topics 1 (1971) 1-63.
    • (1971) Advances Probab. Related Topics , vol.1 , pp. 1-63
    • Furstenberg, H.1
  • 8
    • 0039562713 scopus 로고
    • Local limits and harmonic functions for nonisotropic random walks on free groups
    • P. GERL and W. WOESS, 'Local limits and harmonic functions for nonisotropic random walks on free groups', Probab. Theory Relat. Fields 71 (1986) 341-355.
    • (1986) Probab. Theory Relat. Fields , vol.71 , pp. 341-355
    • Gerl, P.1    Woess, W.2
  • 9
    • 0001944866 scopus 로고
    • Sur la loi des grands nombres et le rayon spectral d'une marche aléatoire
    • Y. GUIVARC'H, 'Sur la loi des grands nombres et le rayon spectral d'une marche aléatoire', Astérisque 74 (1980) 47-98.
    • (1980) Astérisque , vol.74 , pp. 47-98
    • Guivarc'H, Y.1
  • 10
    • 0032386127 scopus 로고    scopus 로고
    • Hausdorff dimension of the harmonic measure on trees
    • V. KAIMANOVICH, 'Hausdorff dimension of the harmonic measure on trees', Ergodic Theory Dynam. Systems 18 (1998) 631-660.
    • (1998) Ergodic Theory Dynam. Systems , vol.18 , pp. 631-660
    • Kaimanovich, V.1
  • 11
    • 0034310136 scopus 로고    scopus 로고
    • The poisson formula for groups with hyperbolic properties
    • V. KAIMANOVICH, 'The Poisson formula for groups with hyperbolic properties', Ann. of Math. (2) 152 (2000) 659-692.
    • (2000) Ann. of Math. , vol.152 , Issue.2 , pp. 659-692
    • Kaimanovich, V.1
  • 12
    • 0001159401 scopus 로고
    • Subadditive ergodic theory
    • J. KINGMAN, 'Subadditive ergodic theory', Ann. Probab. 1 (1973) 883-909.
    • (1973) Ann. Probab. , vol.1 , pp. 883-909
    • Kingman, J.1
  • 13
    • 0005233026 scopus 로고
    • Finite range random walk on free groups and homogeneous trees
    • S. LALLEY, 'Finite range random walk on free groups and homogeneous trees', Ann. Probab. 21 (1993) 2087-2130.
    • (1993) Ann. Probab. , vol.21 , pp. 2087-2130
    • Lalley, S.1
  • 14
    • 0039301921 scopus 로고
    • Une relation entre entropie, dimension et exposant pour certaines marches aléatoires
    • F. LEDRAPPIER, 'Une relation entre entropie, dimension et exposant pour certaines marches aléatoires', C. R. Acad. Sci. Paris Sér. I. 296 (1983) 369-372.
    • (1983) C. R. Acad. Sci. Paris Sér. I. , vol.296 , pp. 369-372
    • Ledrappier, F.1
  • 15
    • 18944364269 scopus 로고    scopus 로고
    • Some asymptotic properties of random walks on free groups
    • CRM Proc. Lecture Notes 28 (ed. J. Taylor; American Mathematical Society, Providence)
    • F. LEDRAPPIER, 'Some asymptotic properties of random walks on free groups', Topics in probability and Lie groups: boundary theory, CRM Proc. Lecture Notes 28 (ed. J. Taylor; American Mathematical Society, Providence, 2001) 117-152.
    • (2001) Topics in Probability and Lie Groups: Boundary Theory , pp. 117-152
    • Ledrappier, F.1
  • 17
    • 29144441106 scopus 로고    scopus 로고
    • Random walks on groups and monoids with a Markovian harmonic measure
    • J. MAIRESSE, 'Random walks on groups and monoids with a Markovian harmonic measure', Electron. J. Probab. 10 (2005) 1417-1441.
    • (2005) Electron. J. Probab. , vol.10 , pp. 1417-1441
    • Mairesse, J.1
  • 20
    • 0003265437 scopus 로고
    • Geometry of sets and measures in euclidean spaces
    • (Cambridge University Press, Cambridge)
    • P. MATTILA, 'Geometry of sets and measures in Euclidean spaces', Cambridge Studies in Advanced Mathematics 44 (Cambridge University Press, Cambridge, 1995).
    • (1995) Cambridge Studies in Advanced Mathematics , vol.44
    • Mattila, P.1
  • 21
    • 0036306567 scopus 로고    scopus 로고
    • Random walks on trees with finitely many cone types
    • T. NAGNIBEDA and W. WOESS, 'Random walks on trees with finitely many cone types', J. Theoret. Probab. 15 (2002) 383-422.
    • (2002) J. Theoret. Probab. , vol.15 , pp. 383-422
    • Nagnibeda, T.1    Woess, W.2
  • 23
    • 0037428415 scopus 로고    scopus 로고
    • Random walks on three-strand braids and on related hyperbolic groups
    • S. NECHAEV and R. VOITURIEZ, 'Random walks on three-strand braids and on related hyperbolic groups', J. Phys. A 36 (2003) 43-66.
    • (2003) J. Phys. A , vol.36 , pp. 43-66
    • Nechaev, S.1    Voituriez, R.2
  • 24
    • 0038855752 scopus 로고
    • The rate of escape for anisotropic random walks in a tree
    • S. SAWYER and T. STEGER, 'The rate of escape for anisotropic random walks in a tree', Probab. Theory Related Fields 76 (1987) 207-230.
    • (1987) Probab. Theory Related Fields , vol.76 , pp. 207-230
    • Sawyer, S.1    Steger, T.2
  • 25
    • 0042244999 scopus 로고    scopus 로고
    • Random walk on periodic trees
    • C. TAKACS, 'Random walk on periodic trees', Electron. J. Probab. 2 (1997) 1-16.
    • (1997) Electron. J. Probab. , vol.2 , pp. 1-16
    • Takacs, C.1
  • 26
    • 0037985441 scopus 로고    scopus 로고
    • Dynamic theory of growth in groups: Entropy, boundaries, examples
    • A. VERSHIK, 'Dynamic theory of growth in groups: entropy, boundaries, examples', Usp. Mat. Nauk 55 (2000) 59-128 tr;
    • (2000) Usp. Mat. Nauk , vol.55 , pp. 59-128
    • Vershik, A.1
  • 27
  • 28
    • 0034349032 scopus 로고    scopus 로고
    • Statistical properties of locally free groups with applications to braid groups and growth of random heaps
    • A. VERSHIK, S. NECHAEV and R. BIKBOV, 'Statistical properties of locally free groups with applications to braid groups and growth of random heaps', Commun. Math. Phys. 212 (2000) 469-501.
    • (2000) Commun. Math. Phys. , vol.212 , pp. 469-501
    • Vershik, A.1    Nechaev, S.2    Bikbov, R.3
  • 29
    • 0038245919 scopus 로고
    • A description of the martin boundary for nearest neighbour random walks on free products
    • Lecture Notes in Mathematics 1210 (Springer, Berlin)
    • W. WOESS, 'A description of the Martin boundary for nearest neighbour random walks on free products', Probability measures on groups VIII, Lecture Notes in Mathematics 1210 (Springer, Berlin, 1986) 203-215.
    • (1986) Probability Measures on Groups VIII , pp. 203-215
    • Woess, W.1
  • 30
    • 0009283965 scopus 로고
    • Nearest neighbour random walks on free products of discrete groups
    • W. WOESS, 'Nearest neighbour random walks on free products of discrete groups', Boll. Un. Mat. Ital. B (6) 5 (1986) 961-982.
    • (1986) Boll. Un. Mat. Ital. B , vol.5 , Issue.6 , pp. 961-982
    • Woess, W.1
  • 31
    • 0005282985 scopus 로고    scopus 로고
    • Random walks on infinite graphs and groups
    • (Cambridge University Press, Cambridge)
    • W. Woess, Random walks on infinite graphs and groups, Cambridge Tracts in Mathematics 138 (Cambridge University Press, Cambridge, 2000).
    • (2000) Cambridge Tracts in Mathematics , vol.138
    • Woess, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.