Marches automatiques

F. M. Dekking

Journal de théorie des nombres de Bordeaux (1993)

  • Volume: 5, Issue: 1, page 93-100
  • ISSN: 1246-7405

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Dekking, F. M.. "Marches automatiques." Journal de théorie des nombres de Bordeaux 5.1 (1993): 93-100. <http://eudml.org/doc/93579>.

@article{Dekking1993,
author = {Dekking, F. M.},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {recurrent walks; transient walks; bounded walks; locally compact abelian group; automatic sequences; ultimately recurrent},
language = {fre},
number = {1},
pages = {93-100},
publisher = {Université Bordeaux I},
title = {Marches automatiques},
url = {http://eudml.org/doc/93579},
volume = {5},
year = {1993},
}

TY - JOUR
AU - Dekking, F. M.
TI - Marches automatiques
JO - Journal de théorie des nombres de Bordeaux
PY - 1993
PB - Université Bordeaux I
VL - 5
IS - 1
SP - 93
EP - 100
LA - fre
KW - recurrent walks; transient walks; bounded walks; locally compact abelian group; automatic sequences; ultimately recurrent
UR - http://eudml.org/doc/93579
ER -

References

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  1. [Be] H.C.P. Berbee, Recurrence and transience for random walks with stationary increments, Z. Wahrsch. verw. Geb.56 (1981), 531-536. Zbl0443.60070MR621663
  2. [Co] A. Cobham, Uniform tag sequences, Math. Systems Theory6 (1972), 164-192. Zbl0253.02029MR457011
  3. [D1] F.M. Dekking, On transience and recurrence of generalized random walks, Z. Wahrsch. verw. Geb.61 (1982), 459-465. Zbl0479.60070MR682573
  4. [D2] F.M. Dekking, Iteration of maps by an automaton, (preprint, 1991). MR1264477
  5. [DM] F.M. Dekking et M. Mendès France, Uniform distribution modulo one: a geometrical viewpoint, J. Reine Angew. Math.329 (1981), 143-153. Zbl0459.10025MR636449
  6. [DT] J.-M. Dumont et A. Thomas, Systèmes de numération et fonctions fractales relatifs aux substitutions, Theor. Comp. Science65 (1989), 153-169. Zbl0679.10010MR1020484
  7. [Du] J.-M. Dumont, Summation formulae for substitutions on a finite alphabet, Number Theory and Physics (Eds: J.-M. Luck, P. Moussa, M. Waldschmidt). Springer Lect. Notes Physics47 (1990), 185-194. Zbl0718.11009MR1058462
  8. [MS] M. Mendès France et J. Shallit, Wirebending and continued fractions, J. Combinatorial Theory SerA50 (1989), 1-23. Zbl0663.10056MR978063
  9. [Qu] M. Queffélec, Substitution dynamical systems - spectral analysis, Lect. Notes Math.1294 (1987), Springer Verlag, Berlin. Zbl0642.28013MR924156
  10. [Sc] K. Schmidt, Lectures on cocycles of ergodic transformation groups, Lect. in Math1., Mac Millan1977, Delhi-Bombay -Calcutta-Madras. Zbl0421.28017MR578731
  11. [WW] Z.-X. Wen et Z.-Y. Wen, Marches sur les arbres homogènes suivant une suite substitutive, Séminaire de Théorie des Nombres de Bordeaux, Sér. II, 4 (1992), 155-186. Zbl0755.11007MR1183924

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