Found 3,211 Documents (Results 1–100)
Finitely generated subgroups of algebraic elements of plane Cremona groups are bounded. (Les sous-groupes de type fini d’éléments algébriques du groupe de Cremona planaire sont bornés.) (English. French summary) Zbl 07928809
Infinite-dimensional Thurston theory and transcendental dynamics. II: Classification of entire functions with escaping singular orbits. (English) Zbl 07916606
On geometrically finite degenerations. I: Boundaries of main hyperbolic components. (English) Zbl 07891432
Encounters with chaos and fractals. 3rd edition. (English) Zbl 07873416
Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-032-67786-6/hbk; 978-1-032-67881-8/pbk; 978-1-032-67875-7/ebook). xv, 398 p. (2024).
Dynamical and numerical analysis of classical multiple roots finding methods applied for different multiplicities. (English) Zbl 07862462
On the valence of logharmonic polynomials. (English) Zbl 1543.30057
Condori, Alberto A. (ed.) et al., Recent progress in function theory and operator theory. AMS special session, virtual, April 6, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 799, 23-40 (2024).
Dynamical systems of Möbius transformation: real, \(p\)-adic and complex variables. (English) Zbl 07853057
Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains. (English) Zbl 07842517
Reviewer: Walter Bergweiler (Kiel)
Chebyshev dynamics on two and three intervals and isomonodromic deformations. (English) Zbl 1542.37031
Markin, Marat V. (ed.) et al., Advances in functional analysis and operator theory. AMS-EMS-SMF special session, Université de Grenoble-Alpes, Grenoble, France, July 18–22, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 798, 77-123 (2024).
Unmating of expanding Thurston maps with Julia set \(\mathbb{S}^2\). (English) Zbl 1542.37035
Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 237-257 (2024).
Toral band Fatou components for the Weierstrass \(\wp\) function. (English) Zbl 1542.37032
Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 203-218 (2024).
Unicritical and maximally critical laminations. (English) Zbl 1542.37034
Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 147-172 (2024).
Computability in dynamical systems. (English) Zbl 1542.37068
Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 85-98 (2024).
Mandelbrot sets for fixed template iterations. (English) Zbl 1542.37030
Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 1-14 (2024).
The boundaries of bounded type fixed Siegel disks of some transcendental meromorphic functions. (English) Zbl 07836784
Exploring the Julia and Mandelbrot sets of \(z^p + \log c^t\) using a four-step iteration scheme extended with \(s\)-convexity. (English) Zbl 1540.37061
Generation of Mandelbrot and Julia sets for generalized rational maps using SP-iteration process equipped with \(s\)-convexity. (English) Zbl 1540.37063
Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. (English) Zbl 1537.37002
Contemporary Mathematics 797. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7216-0/pbk; 978-1-4704-7610-6/ebook). x, 257 p. (2024).
Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds. (English) Zbl 07829730
Reviewer: David Lowry-Duda (Providence)
On the viscosity approximation type iterative method and its non-linear behaviour in the generation of Mandelbrot and Julia sets. (English) Zbl 07829536
Topological properties of certain iterated entire maps. (English) Zbl 1543.37052
Reviewer: Walter Bergweiler (Kiel)
A generalized family of transcendental functions with one dimensional Julia sets. (English) Zbl 1540.37066
Reviewer: Yupin Wang (Jinan)
Linear first order differential operators and their Hutchinson invariant sets. (English) Zbl 1540.37068
On the dynamics of entire maps with symmetry. (English) Zbl 1543.37051
Reviewer: Walter Bergweiler (Kiel)
Speiser meets Misiurewicz. (English) Zbl 1542.37039
Reviewer: Liangwen Liao (Nanjing)
The link on extraneous non-repelling cycles of Schröder’s methods of the first and second kind. (English) Zbl 1537.37053
Multiply connected wandering domains of meromorphic functions: the pursuit of uniform internal dynamics. (English) Zbl 1543.37053
Reviewer: Patricia Domínguez (Puebla)
Small cycles property of some Cremer rational maps and polynomials. (English) Zbl 1542.37044
Reviewer: Haifeng Chu (Xi’an)
Slowly recurrent Collet-Eckmann maps with non-empty Fatou set. (English) Zbl 1537.37052
Reviewer: Walter Bergweiler (Kiel)
Bicritical rational maps with a common iterate. (English) Zbl 1542.37033
Reviewer: Tao Chen (New York)
A new perspective on the Sullivan dictionary via Assouad type dimensions and spectra. (English) Zbl 07780686
Equidistribution of the zeros of higher order derivatives in polynomial dynamics. (English) Zbl 1530.39016
Reviewer: Mohammad Sajid (Buraydah)
The long-term behavior of the \(p\)-adic Sigmoid Beverton-Holt dynamical systems in the projective line \(\mathbb{P}^1 (\mathbb{Q}_p)\). (English) Zbl 1530.37113
Cubic polynomials with a 2-cycle of Siegel disks. arXiv:2410.16728
Preprint, arXiv:2410.16728 [math.DS] (2024).
MSC:
37F10
Automorphism Groups of Commuting Polynomial Maps of the Affine Plane. arXiv:2410.10598
Preprint, arXiv:2410.10598 [math.DS] (2024).
Finite and infinite degree Thurston maps with extra marked points. arXiv:2410.06206
Preprint, arXiv:2410.06206 [math.DS] (2024).
Sensitivities in complex-time flows: phase transitions, Hamiltonian structure and differential geometry. arXiv:2410.06018
Preprint, arXiv:2410.06018 [math.DS] (2024).
Basins of Equilibria and geometry of Global Sectors in Holomorphic Flows. arXiv:2410.04895
Preprint, arXiv:2410.04895 [math.DS] (2024).
Bifurcation for families of Ahlfors island maps. arXiv:2410.04180
Preprint, arXiv:2410.04180 [math.DS] (2024).
Finite and infinite degree Thurston maps with a small postsingular set. arXiv:2410.01146
Preprint, arXiv:2410.01146 [math.DS] (2024).
Uniform bounds on \(S\)-integral preperiodic points for chebyshev polynomials. arXiv:2410.00937
Preprint, arXiv:2410.00937 [math.NT] (2024).
MSC:
37F10
Wandering Cauliflowers. arXiv:2409.18496
Preprint, arXiv:2409.18496 [math.DS] (2024).
Interactions between Universal Composition Operators and Complex Dynamics. arXiv:2409.16260
Preprint, arXiv:2409.16260 [math.CV] (2024).
Meromorphic functions whose action on their Julia sets is Non-Ergodic. arXiv:2409.12127
Preprint, arXiv:2409.12127 [math.DS] (2024).
Intersection of orbits of loxodromic automorphisms of affine surfaces. arXiv:2409.07826
Preprint, arXiv:2409.07826 [math.AG] (2024).
Sturmian external angles of primitive components in the Mandelbrot set. arXiv:2409.07636
Preprint, arXiv:2409.07636 [math.DS] (2024).
Flow of the zeros of polynomials under iterated differentiation. arXiv:2408.13851
Preprint, arXiv:2408.13851 [math.CA] (2024).
On the amenability of semigroups of entire maps and formal power series. arXiv:2408.05180
Preprint, arXiv:2408.05180 [math.DS] (2024).
Random dynamical systems of polynomial automorphisms on \(\Bbb{C}^{2}\). arXiv:2408.03577
Preprint, arXiv:2408.03577 [math.DS] (2024).
A general dynamical theory of Schwarz reflections, B-involutions, and algebraic correspondences. arXiv:2408.00204
Preprint, arXiv:2408.00204 [math.DS] (2024).
On the boundary of an immediate attracting basin of a hyperbolic entire function. arXiv:2407.19963
Preprint, arXiv:2407.19963 [math.DS] (2024).
Pressure metrics in geometry and dynamics. arXiv:2407.18441
Preprint, arXiv:2407.18441 [math.DS] (2024).
Sum of the exponential and a polynomial: Singular values and Baker wandering domains. arXiv:2407.14835
Preprint, arXiv:2407.14835 [math.CV] (2024).
Mating parabolic rational maps with Hecke groups. arXiv:2407.14780
Preprint, arXiv:2407.14780 [math.DS] (2024).
Indecomposable continua for unbounded itineraries of exponential maps. arXiv:2407.13859
Preprint, arXiv:2407.13859 [math.DS] (2024).
Algorithm to Compute Orbit Zariski Closure in Affine Plane. arXiv:2407.02739
Preprint, arXiv:2407.02739 [math.AG] (2024).
Entropy density and large deviation principles without upper semi-continuity of entropy. arXiv:2406.01712
Preprint, arXiv:2406.01712 [math.DS] (2024).
Hybrid dynamics of hyperbolic automorphisms of K3 surfaces. arXiv:2405.12517
Preprint, arXiv:2405.12517 [math.DS] (2024).
Classifying multiply connected wandering domains. arXiv:2405.12165
Preprint, arXiv:2405.12165 [math.DS] (2024).
Shrinking targets and recurrent behaviour for forward compositions of inner functions. arXiv:2405.11866
Preprint, arXiv:2405.11866 [math.DS] (2024).
Results on Dynamics of Bungee set of Composite Entire Functions in the Eremenko-Lyubich Class. arXiv:2405.11217
Preprint, arXiv:2405.11217 [math.DS] (2024).
Hyperbolicity of renormalization of critical quasicircle maps. arXiv:2405.09008
Preprint, arXiv:2405.09008 [math.DS] (2024).
Slow-growing counterexamples to the strong Eremenko Conjecture. arXiv:2405.08811
Preprint, arXiv:2405.08811 [math.DS] (2024).
Thermodynamic formalism and hyperbolic Baker domains: Real-analyticity of the Hausdorff dimension. arXiv:2404.17076
Preprint, arXiv:2404.17076 [math.DS] (2024).
Wandering domains for non-archimedean quadratic rational functions. arXiv:2404.14614
Preprint, arXiv:2404.14614 [math.DS] (2024).
Thermodynamic formalism for subsystems of expanding Thurston maps II. arXiv:2404.07247
Preprint, arXiv:2404.07247 [math.DS] (2024).
Space of initial conditions for the four-dimensional Garnier system revisited. arXiv:2404.00993
Preprint, arXiv:2404.00993 [math.AG] (2024).
Bowen’s formula for a rational graph-directed Markov system. arXiv:2403.18612
Preprint, arXiv:2403.18612 [math.DS] (2024).
Hölder continuity of core entropy for non-recurrent quadratic polynomials. arXiv:2403.18109
Preprint, arXiv:2403.18109 [math.DS] (2024).
Collet-Eckmann maps in the unicritical family. arXiv:2402.19256
Preprint, arXiv:2402.19256 [math.DS] (2024).
On multiplicative dependence between elements of polynomial orbits. arXiv:2402.13712
Preprint, arXiv:2402.13712 [math.NT] (2024).
Local geometry of Equilibria and a Poincaré-Bendixson-type Theorem for Holomorphic Flows. arXiv:2402.07612
Preprint, arXiv:2402.07612 [math.DS] (2024).
Curve attractors for marked rational maps. arXiv:2401.16636
Preprint, arXiv:2401.16636 [math.DS] (2024).
Connected McMullen-like Julia sets in a Chebyshev-Halley Family. arXiv:2401.12374
Preprint, arXiv:2401.12374 [math.DS] (2024).
Combinatorial Hubbard trees for postcritically infinite unicritical polynomials and exponential maps. arXiv:2401.10378
Preprint, arXiv:2401.10378 [math.DS] (2024).
A \(1\)-cohomologically hyperbolic birational map of \(\mathbb{P}^3\), with a transcendental arithmetic degree. arXiv:2401.09821
Preprint, arXiv:2401.09821 [math.AG] (2024).
On a Slice of the Cubic 2-adic Mandelbrot Set. arXiv:2401.09394
Preprint, arXiv:2401.09394 [math.DS] (2024).
Computing parameter planes of iterative root-finding methods with several free critical points. arXiv:2401.06207
Preprint, arXiv:2401.06207 [math.NA] (2024).
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