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An Introduction to Benford's Law / Arno Berger and Theodore P. Hill
| An Introduction to Benford's Law / Arno Berger and Theodore P. Hill |
| Autore | Berger, Arno |
| Pubbl/distr/stampa | Princeton ; Oxford : Princeton University Press, 2015 |
| Descrizione fisica | VIII, 248 p. ; 24 cm |
| Altri autori (Persone) | Hill, Theodore P. |
| ISBN | 9780691163062 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910261359903321 |
Berger, Arno
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| Princeton ; Oxford : Princeton University Press, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Chaos and chance : an introduction to stochastic aspects of dynamics / Arno Berger
| Chaos and chance : an introduction to stochastic aspects of dynamics / Arno Berger |
| Autore | Berger, Arno |
| Pubbl/distr/stampa | Berlin ; New York : Walter de Gruyter, 2001 |
| Descrizione fisica | x, 245 p. : ill. ; 24 cm |
| Disciplina | 515.352 |
| Collana | De Gruyter textbook |
| Soggetto topico |
Differentiable dynamical systems
Chaotic behavior in systems |
| ISBN | 3110169916 |
| Classificazione |
AMS 37-01
AMS 37A50 AMS 37A30 AMS 70K55 LC QA614.8.B48 53.1.65 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction. Long-time behaviour of mechanical systems ; Iteration of maps ; Elementary stochastic processes ; Basic aspects of discrete dynamical systems. Hyperbolicity and bifurcations ; How may simple systems become complicated? Facing deterministic chaos ; Symbolic dynamical systems ; The emergence of chaos ; Newton's method for polynomials: a case study ; Circle maps, rotation numbers, and minimality ; Gimpses of billiards ; Horseshoes, attractors, and natural extensions ; Toral maps and shadowing ; Ergodic theory I. Foundations. The statistical point of view ; Invariant and ergodic measures ; Ergodic theorems ; Aspects of mixing ; Mixing properties ; The concept of entropy ; Ergodic theory II: Applications. The Frobenius-Perron operator ; Asymptotic behaviour of densities ; Piecewise expanding Markov maps ; A short look at Markov chains ; Class structure, absorption probabilities, and hitting times ; Recurrence and transience: dynamical classification of states ; The long-time behaviour of Markov chains ; The dynamical evolution of measures : Basic examples and concepts ; Asymptotic stability ; Back to geometry: fractal sets and measures ; Three final examples ; Searching for non-normal numbers ; The fractal nature of Brownian paths ; Patterns of congruence in the Pascal triangle |
| Record Nr. | UNISALENTO-991000160479707536 |
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Berger, Arno
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| Berlin ; New York : Walter de Gruyter, 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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