On the Distribution of Long-Term Time Averages on Symbolic Space
By A. Fan, De-Jun Feng. 2000
97 citations recorded by the source corpus.
Subfields: Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/c3fcf6b5cd0d5ace758b33294ea68ba4831bfb9a
How researchers see this paper
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In Mathematical Physics
- De-Jun Feng
- Daniel Thompson
- Ka-Sing Lau
- Jun Wu
- J. Schmeling
- Evgeny A. Verbitskiy
- Floris Takens
- A. Fan
In Statistical and Nonlinear Physics
- Daniel Thompson
- De-Jun Feng
- Evgeny A. Verbitskiy
- Floris Takens
- Jun Wu
- Ka-Sing Lau
- A. Fan
- J. Schmeling
Citations in the corpus
- The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers (2005, background): “For some applications of homogeneous Moran sets in the dimension theory of dynamical systems, see [10,11,17,50].”
- Recurrence, Dimension and Entropy (2001, methodology): “The variational formula in Theorem A for those U depending only on finitely many coordinates was simplified in [ 10 ].”
- A variational principle for topological pressure for certain non‐compact sets (2008, methodology): “The study of multifractal analysis for arbitrary (that is, non-Hölder) continuous functions was initiated in the symbolic dynamics setting by Olivier [14] and Fan and Feng [8].”
- Lyapunov exponents for products of matrices and multifractal analysis. Part II: General matrices (2003, background): “Theorem A extends the corresponding results for the Birkho averages of scalar functions, for which one is referred to, e.g., [1, 2, 3, 9 , 10, 16, 35, 38, 40, 41, 47].”
- A multifractal mass transference principle for Gibbs measures with applications to dynamical Diophantine approximation (2013, background): “The following conditional variational principle is well known [3, 15, 16].”
- Ergodic Limits on the Conformal Repellers (2002, background): “For the corresponding o 2 SA;nþk� 1; if we let n !1 ; the sequence of vectors ffð�Þ =ng has a weakn-accumulation point. By Lemma 3 in [ 13 ], this weak”
- On the variational principle for the topological entropy of certain non-compact sets (2003, methodology): “We are grateful to Ai Hua Fan for making available to us a copy of [6], and to Jörg Schmeling for valuable discussions.”