Loading...
Please wait, while we are loading the content...
Similar Documents
Weak KAM methods and ergodic optimal problems for countable Markov shifts
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bissacot, Rodrigo Garibaldi, Eduardo |
| Copyright Year | 2009 |
| Abstract | Let σ: Σ → Σ be the left shift acting on Σ, a one-sided Markov subshift on a countable alphabet. Our intention is to guarantee the existence of σ-invariant Borel probabilities that maximize the integral of a given locally Hölder continuous potential A: Σ → ℝ. Under certain conditions, we are able to show not only that A-maximizing probabilities do exist, but also that they are characterized by the fact their support lies actually in a particular Markov subshift on a finite alphabet. To that end, we make use of objects dual to maximizing measures, the so-called sub-actions (concept analogous to subsolutions of the Hamilton-Jacobi equation), and specially the calibrated sub-actions (notion similar to weak KAM solutions). |
| Starting Page | 321 |
| Ending Page | 338 |
| Page Count | 18 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s00574-010-0014-z |
| Volume Number | 41 |
| Alternate Webpage(s) | http://arxiv.org/pdf/0901.4640v1.pdf |
| Alternate Webpage(s) | http://www.ime.unicamp.br/~garibaldi/Weak%20KAM%20methods%20and%20ergodic%20optimal%20problems%20for%20countable%20Markov%20shifts.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/0901.4640v2.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s00574-010-0014-z |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
