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The universal mandelbrot set [[electronic resource] ] : beginning of the story / / V. Dolotin, A. Morozov
| The universal mandelbrot set [[electronic resource] ] : beginning of the story / / V. Dolotin, A. Morozov |
| Autore | Dolotin V (Valeriĭ Valerʹevich) |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientiific Pub., c2006 |
| Descrizione fisica | 1 online resource (176 p.) |
| Disciplina | 514/.742 |
| Altri autori (Persone) | MorozovA. D <1944-> (Alʹbert Dmitrievich) |
| Soggetto topico | Mandelbrot sets |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-92469-5
9786611924690 981-277-335-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; 1. Introduction ; 2. Notions and notation ; 2.1 Objects associated with the space X ; 2.2 Objects associated with the space M ; 2.3 Combinatorial objects ; 2.4 Relations between the notions ; 3. Summary ; 3.1 Orbits and grand orbits ; 3.2 Mandelbrot sets
3.2.1 Forest structure 3.2.2 Relation to resultants and discriminants ; 3.2.3 Relation to stability domains ; 3.2.4 Critical points and locations of elementary domains ; 3.2.5 Perturbation theory and approximate self-similarity of Mandelbrot set ; 3.2.6 Trails in the forest 3.3 Sheaf of Julia sets over moduli space 4. Fragments of theory ; 4.1 Orbits and reduction theory of iterated maps ; 4.2 Bifurcations and discriminants: from real to complex ; 4.3 Discriminants and resultants for iterated maps ; 4.4 Period-doubling and beyond 4.5 Stability and Mandelbrot set 4.6 Towards the theory of Julia sets ; 4.6.1 Grand orbits and algebraic Julia sets ; 4.6.2 From algebraic to ordinary Julia set ; 4.6.3 Bifurcations of Julia set ; 4.7 On discriminant analysis for grand orbits 4.7.2 Irreducible constituents of discriminants and resultants 4.7.6 Summary ; 4.7.7 On interpretation of wntk ; 4.8 Combinatorics of discriminants and resultants ; 4.9 Shapes of Julia and Mandelbrot sets ; 4.9.1 Generalities 4.9.2 Exact statements about 1-parametric families of polynomials of power-d |
| Record Nr. | UNINA-9910458462303321 |
Dolotin V (Valeriĭ Valerʹevich)
|
||
| Hackensack, NJ, : World Scientiific Pub., c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The universal mandelbrot set [[electronic resource] ] : beginning of the story / / V. Dolotin, A. Morozov
| The universal mandelbrot set [[electronic resource] ] : beginning of the story / / V. Dolotin, A. Morozov |
| Autore | Dolotin V (Valeriĭ Valerʹevich) |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientiific Pub., c2006 |
| Descrizione fisica | 1 online resource (176 p.) |
| Disciplina | 514/.742 |
| Altri autori (Persone) | MorozovA. D <1944-> (Alʹbert Dmitrievich) |
| Soggetto topico | Mandelbrot sets |
| ISBN |
1-281-92469-5
9786611924690 981-277-335-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; 1. Introduction ; 2. Notions and notation ; 2.1 Objects associated with the space X ; 2.2 Objects associated with the space M ; 2.3 Combinatorial objects ; 2.4 Relations between the notions ; 3. Summary ; 3.1 Orbits and grand orbits ; 3.2 Mandelbrot sets
3.2.1 Forest structure 3.2.2 Relation to resultants and discriminants ; 3.2.3 Relation to stability domains ; 3.2.4 Critical points and locations of elementary domains ; 3.2.5 Perturbation theory and approximate self-similarity of Mandelbrot set ; 3.2.6 Trails in the forest 3.3 Sheaf of Julia sets over moduli space 4. Fragments of theory ; 4.1 Orbits and reduction theory of iterated maps ; 4.2 Bifurcations and discriminants: from real to complex ; 4.3 Discriminants and resultants for iterated maps ; 4.4 Period-doubling and beyond 4.5 Stability and Mandelbrot set 4.6 Towards the theory of Julia sets ; 4.6.1 Grand orbits and algebraic Julia sets ; 4.6.2 From algebraic to ordinary Julia set ; 4.6.3 Bifurcations of Julia set ; 4.7 On discriminant analysis for grand orbits 4.7.2 Irreducible constituents of discriminants and resultants 4.7.6 Summary ; 4.7.7 On interpretation of wntk ; 4.8 Combinatorics of discriminants and resultants ; 4.9 Shapes of Julia and Mandelbrot sets ; 4.9.1 Generalities 4.9.2 Exact statements about 1-parametric families of polynomials of power-d |
| Record Nr. | UNINA-9910784761103321 |
|
Dolotin V (Valeriĭ Valerʹevich)
|
||
| Hackensack, NJ, : World Scientiific Pub., c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The universal mandelbrot set [[electronic resource] ] : beginning of the story / / V. Dolotin, A. Morozov
| The universal mandelbrot set [[electronic resource] ] : beginning of the story / / V. Dolotin, A. Morozov |
| Autore | Dolotin V (Valeriĭ Valerʹevich) |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientiific Pub., c2006 |
| Descrizione fisica | 1 online resource (176 p.) |
| Disciplina | 514/.742 |
| Altri autori (Persone) | MorozovA. D <1944-> (Alʹbert Dmitrievich) |
| Soggetto topico | Mandelbrot sets |
| ISBN |
1-281-92469-5
9786611924690 981-277-335-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; 1. Introduction ; 2. Notions and notation ; 2.1 Objects associated with the space X ; 2.2 Objects associated with the space M ; 2.3 Combinatorial objects ; 2.4 Relations between the notions ; 3. Summary ; 3.1 Orbits and grand orbits ; 3.2 Mandelbrot sets
3.2.1 Forest structure 3.2.2 Relation to resultants and discriminants ; 3.2.3 Relation to stability domains ; 3.2.4 Critical points and locations of elementary domains ; 3.2.5 Perturbation theory and approximate self-similarity of Mandelbrot set ; 3.2.6 Trails in the forest 3.3 Sheaf of Julia sets over moduli space 4. Fragments of theory ; 4.1 Orbits and reduction theory of iterated maps ; 4.2 Bifurcations and discriminants: from real to complex ; 4.3 Discriminants and resultants for iterated maps ; 4.4 Period-doubling and beyond 4.5 Stability and Mandelbrot set 4.6 Towards the theory of Julia sets ; 4.6.1 Grand orbits and algebraic Julia sets ; 4.6.2 From algebraic to ordinary Julia set ; 4.6.3 Bifurcations of Julia set ; 4.7 On discriminant analysis for grand orbits 4.7.2 Irreducible constituents of discriminants and resultants 4.7.6 Summary ; 4.7.7 On interpretation of wntk ; 4.8 Combinatorics of discriminants and resultants ; 4.9 Shapes of Julia and Mandelbrot sets ; 4.9.1 Generalities 4.9.2 Exact statements about 1-parametric families of polynomials of power-d |
| Record Nr. | UNINA-9910810237003321 |
|
Dolotin V (Valeriĭ Valerʹevich)
|
||
| Hackensack, NJ, : World Scientiific Pub., c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||