Infinite ergodic theory and Non-extensive entropies
arXiv:1005.5474 · doi:10.1007/s13538-011-0033-2
Abstract
We bring into account a series of result in the infinite ergodic theory that we believe that they are relevant to the theory of non-extensive entropies
References in corpus (9)
- Universal renormalization-group dynamics at the onset of chaos in logistic maps and nonextensive statistical mechanics
- Nonextensive Pesin identity. Exact renormalization group analytical results for the dynamics at the edge of chaos of the logistic map
- Pesin-Type Identity for Weak Chaos
- Tsallis' q index and Mori's q phase transitions at edge of chaos
- Recurrence and algorithmic information
- The recurrence time for ergodic systems of infinite measures
- A mixing-like property and inexistence of invariant foliations for minimal diffeomorphisms of the 2-torus
- Semi-dispersing billiards with an infinite cusp
- A "metric" complexity for weakly chaotic systems