Dimension and Recurrence in Hyperbolic Dynamics
By Luís Barreira. 2008
141 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f08279734306e05942ba8592fc942b89587fef6d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Daniel Thompson
- Daniel J. Thompson
- Russell Lyons
- K. Gelfert
- Yuval Peres
- Luís Barreira
- Manjunath Krishnapur
- Mikko Parviainen
In Geometry and Topology
- Yuval Peres
- Daniel Thompson
- Daniel J. Thompson
- K. Gelfert
- Russell Lyons
- Luís Barreira
- Pablo Shmerkin
- Manjunath Krishnapur
In Mathematical Physics
- Daniel J. Thompson
- Daniel Thompson
- Russell Lyons
- Yuval Peres
- K. Gelfert
- Luís Barreira
- Pablo Shmerkin
- Alexei Borodin
Citations in the corpus
- Irregular sets, the -transformation and the almost specification property (2012, background): “However, it is an increasingly well known phenomenon that the irregular set can be large from the point of view of dimension theory [2].”
- Probability on Trees and Networks (2017, background): “Some good books to consult are Edgar (1990), Falconer (1990), Mattila (1995), Pesin (1997), and Barreira (2008). As noted by Virág (2000b), the essential branching number essbrT of a tree T (Section 13.”
- The irregular set for maps with the specification property has full topological pressure (2008, background): “These arguments can be found in Barreira’s book [4] in which the result is also proved for subshifts with the specification property.”
- Dimension estimates in smooth dynamics: a survey of recent results (2010, result): “We refer to [4] for a description of many of the more recent results in the area.”
- Lyapunov Spectrum of Asymptotically Sub-additive Potentials (2009, unknown): “This is a general concept of multifractal analysis proposed by Barreira, Pesin and Schmeling [7], and it plays an important role in the dimension theory of dynamical systems [43, 5].”
- Almost additive multifractal analysis (2009, unknown): “We refer the reader to the books [3,12] for further references from the last two decades.”
- A variational principle for topological pressure for certain non‐compact sets (2008, background): “1) have a key role in multifractal analysis (see [2, 17] for a broad and unified introduction).”
- Multifractal analysis of Birkhoff averages for countable Markov maps (2010, unknown): “We refer to the books [1, 4, 26] for further details.”