Central limit asymptotics for shifts of finite type
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Publication:914241
DOI10.1007/BF02937307zbMath0701.60026OpenAlexW1978273259MaRDI QIDQ914241
Publication date: 1990
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02937307
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Entropy and other invariants (28D20) Limit theorems in probability theory (60F99)
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Cites Work
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- A central limit theorem for piecewise monotonic mappings of the unit interval
- Un théorème de la limite locale pour une classe de transformations dilatantes et monotones par morceaux
- Distribution of periodic orbits of symbolic and axiom A flows
- Diophantine approximation
- The central limit theorem for geodesic flows on \(n\)-dimensional manifolds of negative curvature
- Approximation by Brownian motion for Gibbs measures and flows under a function
- Generalized bounded variation and applications to piecewise monotonic transformations
- A complex Ruelle-Perron-Frobenius theorem and two counterexamples
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms