Download:
|
by Zaqueu Coelho
Topics in Symbolic Dynamics and Applications (Temuco 1997), London Math. Soc. Lecture Note Ser
http://www.maths.warwick.ac.uk/~zaqueu/psfiles/tem.ps.gz
Add To MetaCart
Abstract:
Abstract. These are notes of a mini-course given in the Summer School on Symbolic Dynamics, Temuco (Chile), January 1997. The aim is to present some results concerning asymptotic limit laws for the occurrence of asymptotically rare events associated with some symbolic dynamical systems. The results will be mainly presented for shifts of finite type, but there will be left questions of whether these results
Citations
|
243
|
Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
– Bowen
- 1975
|
|
229
|
An Introduction to the Theory of Point Processes
– Daley
- 1988
|
|
115
|
Thermodynamic Formalism
– Ruelle
- 1978
|
|
103
|
Probability Approximations via Poisson Clumping Heuristic, Springer-Verlag: New-York
– Aldous
- 1989
|
|
84
|
Zeta Functions and the Periodic Orbit Structure of Hyperbolic Dynamics. Ast'erique 187-188, Soci'et'e Math'ematique de
– Parry, Pollicott
- 1990
|
|
41
|
An introduction to ergodic theory, Graduate Texts in Mathematics, Vol. 79
– Walters
- 1982
|
|
30
|
On a new law of large numbers
– ERDOS, RENYI
- 1970
|
|
24
|
The Erdös-Rényi law in distribution, for coin tossing and sequence matching. Ann Statist
– Arratia, Gordon, et al.
- 1990
|
|
21
|
Similarity of automorphisms of the torus
– Adler, Weiss
- 1970
|
|
13
|
Some ergodic properties of maps of the interval
– Collet
- 1996
|
|
8
|
Remarques sur la th'eorie m'etrique des fractions continues
– Doeblin
- 1940
|
|
8
|
Monotone matrix functions and analytic continuation
– Jr
- 1974
|
|
7
|
Nonuniqueness in g-functions
– Bramson, Kalikow
- 1993
|
|
7
|
Asymptotic distribution of entrance times for expanding maps of an interval
– Collet
- 1995
|
|
7
|
The Pianigiani-Yorke measure for topological Markov chains
– Collet, Mart'inez
- 1997
|
|
4
|
Central limit asymptotics for shifts of finite type
– Coelho, Parry
- 1990
|
|
4
|
Criteria for d-continuity
– Coelho, Quas
- 1998
|
|
3
|
P.: Asymptotic limit law for the close approach of two trajectories in expanding maps of the circle. Probab. Theory Relat. Fields 99
– Coelho, Collet
- 1994
|
|
3
|
Processus pontuels
– Neveu
- 1976
|
|
3
|
Poisson limit law for Markov chains, Erg
– Pitskel
- 1991
|
|
3
|
Intrinsic Markov chains, Trans
– Parry
- 1964
|
|
2
|
Poisson law for Axiom A diffeomorphisms, Erg
– Hirata
- 1993
|
|
1
|
Asymptotic limit law for subsystems of shifts of finite type
– Coelho, Collet
|
|
1
|
de Faria, Limit laws of entrance times for homeomorphisms of the circle
– Coelho, E
- 1996
|
