| Автор | Eric Olivier |
| Дата выпуска | 1999-11-01 |
| dc.description | We introduce a multifractal formalism for potentials defined on shift systems. We prove that the multifractal spectra are a Legendre transform of thermodynamic functions involving the potentials studied. We obtain the fractal distribution of pointwise dimension for g-measures. Such measures are equilibrium states of potentials not necessarily Hölder continuous and generalize Gibbs measures. In connection with phase transition, we also give examples of potentials with a non-unique equilibrium state and non-analytic multifractal spectra. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Multifractal analysis in symbolic dynamics and distribution of pointwise dimension for g-measures |
| Тип | paper |
| DOI | 10.1088/0951-7715/12/6/309 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 12 |
| Первая страница | 1571 |
| Последняя страница | 1585 |
| Аффилиация | Eric Olivier; Université de Provence, CMI, 39 rue Joliot-Curie, F-13453 Marseille, Cedex 13, France |
| Выпуск | 6 |
