Wu, Angela; Park, Insung Quasi-self-similar fractals containing “Y” have dimension larger than one. (English) Zbl 07818417 Discrete Contin. Dyn. Syst. 44, No. 4, 1073-1086 (2024). MSC: 37F35 37F10 PDFBibTeX XMLCite \textit{A. Wu} and \textit{I. Park}, Discrete Contin. Dyn. Syst. 44, No. 4, 1073--1086 (2024; Zbl 07818417) Full Text: DOI arXiv
Bot, Anna The ordinal of dynamical degrees of birational maps of the projective plane. (L’ordinal des degrés dynamiques des transformations birationelles du plan projectif.) (English. French summary) Zbl 07816884 C. R., Math., Acad. Sci. Paris 362, 117-134 (2024). MSC: 37F10 32H50 14E07 14E05 PDFBibTeX XMLCite \textit{A. Bot}, C. R., Math., Acad. Sci. Paris 362, 117--134 (2024; Zbl 07816884) Full Text: DOI arXiv
Rugh, Hans Henrik; Tan, Lei; Yang, Fei Schwarzian versus a family of moving parabolic points. (English) Zbl 07815486 Exp. Math. 33, No. 1, 136-149 (2024). MSC: 30D30 37F10 37F75 PDFBibTeX XMLCite \textit{H. H. Rugh} et al., Exp. Math. 33, No. 1, 136--149 (2024; Zbl 07815486) Full Text: DOI
Lee, Seul Bee; Marmi, Stefano; Petrykiewicz, Izabela; Schindler, Tanja I. Correction to: “Regularity properties of \(k\)-Brjuno and Wilton functions”. (English) Zbl 07811724 Aequationes Math. 98, No. 1, 349-350 (2024). MSC: 30B70 37F50 32A50 46F15 32A37 11F03 PDFBibTeX XMLCite \textit{S. B. Lee} et al., Aequationes Math. 98, No. 1, 349--350 (2024; Zbl 07811724) Full Text: DOI OA License
Lee, Seul Bee; Marmi, Stefano; Petrykiewicz, Izabela; Schindler, Tanja I. Regularity properties of \(k\)-Brjuno and Wilton functions. (English) Zbl 07811711 Aequationes Math. 98, No. 1, 13-85 (2024); correction ibid. 98, No. 1, 349-350 (2024). MSC: 30B70 37F50 32A50 46F15 32A37 11F03 PDFBibTeX XMLCite \textit{S. B. Lee} et al., Aequationes Math. 98, No. 1, 13--85 (2024; Zbl 07811711) Full Text: DOI arXiv OA License
Arosio, Leandro; Fiacchi, Matteo; Guerini, Lorenzo; Karlsson, Anders Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces. (English) Zbl 07807337 Adv. Math. 439, Article ID 109484, 39 p. (2024). MSC: 32H50 32F45 53C23 PDFBibTeX XMLCite \textit{L. Arosio} et al., Adv. Math. 439, Article ID 109484, 39 p. (2024; Zbl 07807337) Full Text: DOI arXiv
Ferreira, Gustavo R. Multiply connected wandering domains of meromorphic functions: the pursuit of uniform internal dynamics. (English) Zbl 07806749 Ergodic Theory Dyn. Syst. 44, No. 3, 727-748 (2024). MSC: 37F10 30D05 PDFBibTeX XMLCite \textit{G. R. Ferreira}, Ergodic Theory Dyn. Syst. 44, No. 3, 727--748 (2024; Zbl 07806749) Full Text: DOI arXiv OA License
Fu, Rong; Zhou, Ji Small cycles property of some cremer rational maps and polynomials. (English) Zbl 07804891 Chin. Ann. Math., Ser. B 45, No. 1, 123-136 (2024). MSC: 37F50 PDFBibTeX XMLCite \textit{R. Fu} and \textit{J. Zhou}, Chin. Ann. Math., Ser. B 45, No. 1, 123--136 (2024; Zbl 07804891) Full Text: DOI
Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen Upper bounds for the moduli of polynomial-like maps. (English) Zbl 07801565 Nonlinearity 37, No. 3, Article ID 035003, 24 p. (2024). MSC: 37F20 37F10 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Nonlinearity 37, No. 3, Article ID 035003, 24 p. (2024; Zbl 07801565) Full Text: DOI arXiv
Filip, Simion; Tosatti, Valentino Gaps in the support of canonical currents on projective K3 surfaces. (English) Zbl 07796592 J. Geom. Anal. 34, No. 3, Paper No. 76, 14 p. (2024). MSC: 37F80 32U40 14J28 14J50 32M18 20F14 PDFBibTeX XMLCite \textit{S. Filip} and \textit{V. Tosatti}, J. Geom. Anal. 34, No. 3, Paper No. 76, 14 p. (2024; Zbl 07796592) Full Text: DOI arXiv
Bell, Jason P.; Diller, Jeffrey; Jonsson, Mattias; Krieger, Holly Birational maps with transcendental dynamical degree. (English) Zbl 07796311 Proc. Lond. Math. Soc. (3) 128, No. 1, Article ID e12573, 47 p. (2024). MSC: 32H50 37F10 PDFBibTeX XMLCite \textit{J. P. Bell} et al., Proc. Lond. Math. Soc. (3) 128, No. 1, Article ID e12573, 47 p. (2024; Zbl 07796311) Full Text: DOI arXiv OA License
Gao, Yan On the core entropy of Newton maps. (English) Zbl 07791013 Sci. China, Math. 67, No. 1, 77-128 (2024). MSC: 37F10 37F20 37B40 PDFBibTeX XMLCite \textit{Y. Gao}, Sci. China, Math. 67, No. 1, 77--128 (2024; Zbl 07791013) Full Text: DOI arXiv
Bianchi, Fabrizio; Dinh, Tien-Cuong Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT. (English) Zbl 07790906 Forum Math. Sigma 12, Paper No. e4, 12 p. (2024). MSC: 37F80 37A30 32U05 32H50 37A25 60F05 PDFBibTeX XMLCite \textit{F. Bianchi} and \textit{T.-C. Dinh}, Forum Math. Sigma 12, Paper No. e4, 12 p. (2024; Zbl 07790906) Full Text: DOI arXiv OA License
Fraser, Jonathan M.; Stuart, Liam A new perspective on the Sullivan dictionary via Assouad type dimensions and spectra. (English) Zbl 07780686 Bull. Am. Math. Soc., New Ser. 61, No. 1, 103-118 (2024). MSC: 28A80 37C45 37F10 30F40 37F50 PDFBibTeX XMLCite \textit{J. M. Fraser} and \textit{L. Stuart}, Bull. Am. Math. Soc., New Ser. 61, No. 1, 103--118 (2024; Zbl 07780686) Full Text: DOI arXiv
Aspenberg, Magnus; Bylund, Mats; Cui, Weiwei Collet-Eckmann maps in the unicritical family. arXiv:2402.19256 Preprint, arXiv:2402.19256 [math.DS] (2024). MSC: 37F10 37F12 37F15 BibTeX Cite \textit{M. Aspenberg} et al., ``Collet-Eckmann maps in the unicritical family'', Preprint, arXiv:2402.19256 [math.DS] (2024) Full Text: arXiv OA License
Kainz, Nicolas; Lebiedz, Dirk Local geometry of Equilibria and a Poincaré-Bendixson-type Theorem for Holomorphic Flows. arXiv:2402.07612 Preprint, arXiv:2402.07612 [math.DS] (2024). MSC: 30A99 30C10 30C15 30D30 32M25 37F10 37F75 BibTeX Cite \textit{N. Kainz} and \textit{D. Lebiedz}, ``Local geometry of Equilibria and a Poincar\'e-Bendixson-type Theorem for Holomorphic Flows'', Preprint, arXiv:2402.07612 [math.DS] (2024) Full Text: arXiv OA License
Ogawa, Satoshi On holomorphic tubular neighborhoods of compact Riemann surfaces. arXiv:2402.07050 Preprint, arXiv:2402.07050 [math.CV] (2024). MSC: 37F50 30F10 57N40 BibTeX Cite \textit{S. Ogawa}, ``On holomorphic tubular neighborhoods of compact Riemann surfaces'', Preprint, arXiv:2402.07050 [math.CV] (2024) Full Text: arXiv OA License
De Thélin, Henry; Vigny, Gabriel Exponential mixing of all orders and CLT for generic birational maps of \(\mathbb{P}^k\). arXiv:2402.01178 Preprint, arXiv:2402.01178 [math.DS] (2024). MSC: 37A25 37A50 37F80 BibTeX Cite \textit{H. De Thélin} and \textit{G. Vigny}, ``Exponential mixing of all orders and CLT for generic birational maps of $\mathbb{P}^k$'', Preprint, arXiv:2402.01178 [math.DS] (2024) Full Text: arXiv OA License
Bakhtawar, Ayreena; Carminati, Carlo; Marmi, Stefano Global and local minima of \(\alpha\)-Brjuno functions. arXiv:2401.17679 Preprint, arXiv:2401.17679 [math.DS] (2024). MSC: 37F50 11J70 BibTeX Cite \textit{A. Bakhtawar} et al., ``Global and local minima of $\alpha$-Brjuno functions'', Preprint, arXiv:2401.17679 [math.DS] (2024) Full Text: arXiv OA License
Beltrami, Veronica Automorphisms of \(\mathbb{C}^2\) with cycles of escaping Fatou components with hyperbolic limit sets. arXiv:2401.16903 Preprint, arXiv:2401.16903 [math.DS] (2024). MSC: 37F80 BibTeX Cite \textit{V. Beltrami}, ``Automorphisms of $\mathbb{C}^2$ with cycles of escaping Fatou components with hyperbolic limit sets'', Preprint, arXiv:2401.16903 [math.DS] (2024) Full Text: arXiv OA License
Smith, Zachary Curve attractors for marked rational maps. arXiv:2401.16636 Preprint, arXiv:2401.16636 [math.DS] (2024). MSC: 37F20 37F10 37F34 BibTeX Cite \textit{Z. Smith}, ``Curve attractors for marked rational maps'', Preprint, arXiv:2401.16636 [math.DS] (2024) Full Text: arXiv OA License
Canela, Jordi; Garijo, Antonio; Roesch, Pascale Connected McMullen-like Julia sets in a Chebyshev-Halley Family. arXiv:2401.12374 Preprint, arXiv:2401.12374 [math.DS] (2024). MSC: 37F10 37F31 37F44 BibTeX Cite \textit{J. Canela} et al., ``Connected McMullen-like Julia sets in a Chebyshev-Halley Family'', Preprint, arXiv:2401.12374 [math.DS] (2024) Full Text: arXiv OA License
Hassler, Malte; Schleicher, Dierk Combinatorial Hubbard trees for postcritically infinite unicritical polynomials and exponential maps. arXiv:2401.10378 Preprint, arXiv:2401.10378 [math.DS] (2024). MSC: 37F10 37F20 37B10 37E25 BibTeX Cite \textit{M. Hassler} and \textit{D. Schleicher}, ``Combinatorial Hubbard trees for postcritically infinite unicritical polynomials and exponential maps'', Preprint, arXiv:2401.10378 [math.DS] (2024) Full Text: arXiv OA License
Sugimoto, Yutaro 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). MSC: 14E05 32H50 37F10 BibTeX Cite \textit{Y. Sugimoto}, ``A $1$-cohomologically hyperbolic birational map of $\mathbb{P}^3$, with a transcendental arithmetic degree'', Preprint, arXiv:2401.09821 [math.AG] (2024) Full Text: arXiv OA License
Cui, Guizhen; Peng, Wenjuan On the boundary of the central quadratic hyperbolic component. arXiv:2401.02074 Preprint, arXiv:2401.02074 [math.DS] (2024). MSC: 37F10 37F20 BibTeX Cite \textit{G. Cui} and \textit{W. Peng}, ``On the boundary of the central quadratic hyperbolic component'', Preprint, arXiv:2401.02074 [math.DS] (2024) Full Text: arXiv OA License
Sullivan, Dennis Learning about dynamics, Kleinian groups, quasiconformality, and period doubling universality: Orsay chapter. (English) Zbl 07814221 Papadopoulos, Athanase (ed.), Essays in geometry. Dedicated to Norbert A’Campo. Berlin: European Mathematical Society. IRMA Lect. Math. Theor. Phys. 34, 53-60 (2023). MSC: 01A60 37A17 37C05 37C15 37E05 37F15 30F40 37E20 37F25 37F44 30C62 37F32 57R30 PDFBibTeX XMLCite \textit{D. Sullivan}, IRMA Lect. Math. Theor. Phys. 34, 53--60 (2023; Zbl 07814221) Full Text: DOI
Mj, Mahan; Mukherjee, Sabyasachi The Sullivan dictionary and Bowen-Series maps. (English) Zbl 07803739 EMS Surv. Math. Sci. 10, No. 1, 179-221 (2023). MSC: 37F32 37F10 30F60 30C62 30D05 30F40 30J10 37F31 57M50 PDFBibTeX XMLCite \textit{M. Mj} and \textit{S. Mukherjee}, EMS Surv. Math. Sci. 10, No. 1, 179--221 (2023; Zbl 07803739) Full Text: DOI arXiv
Nakane, Shizuo On formal normal forms of holomorphic germs at super-saddle fixed points. (English) Zbl 07803529 Complex Anal. Synerg. 9, No. 4, Paper No. 12, 8 p. (2023). MSC: 32H50 37F10 37C29 PDFBibTeX XMLCite \textit{S. Nakane}, Complex Anal. Synerg. 9, No. 4, Paper No. 12, 8 p. (2023; Zbl 07803529) Full Text: DOI
Berteloot, François; Brévard, Maxence Ramification current, post-critical normality and stability of holomorphic endomorphisms of \(\mathbb{P}^k\). (English) Zbl 07797410 Fundam. Math. 263, No. 3, 253-270 (2023). MSC: 37F44 37F80 32H50 32U40 PDFBibTeX XMLCite \textit{F. Berteloot} and \textit{M. Brévard}, Fundam. Math. 263, No. 3, 253--270 (2023; Zbl 07797410) Full Text: DOI arXiv
Look, Daniel M. A bounded sequence of bitransitive and capture Sierpiński curve Julia sets for 3-Circle inversions. (English) Zbl 07797039 Fundam. Math. 262, No. 3, 205-220 (2023). MSC: 37F10 37F20 37F45 PDFBibTeX XMLCite \textit{D. M. Look}, Fundam. Math. 262, No. 3, 205--220 (2023; Zbl 07797039) Full Text: DOI
Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen Immediate renormalization of cubic complex polynomials with empty rational lamination. (English) Zbl 07794632 Mosc. Math. J. 23, No. 4, 441-461 (2023). MSC: 37F20 37C25 37F10 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Mosc. Math. J. 23, No. 4, 441--461 (2023; Zbl 07794632) Full Text: arXiv Link
Cantat, Serge; Dujardin, Romain Finite orbits for large groups of automorphisms of projective surfaces. (English) Zbl 07782529 Compos. Math. 160, No. 1, 120-175 (2023). MSC: 37F80 37P55 37P30 11G50 14J50 14J28 PDFBibTeX XMLCite \textit{S. Cantat} and \textit{R. Dujardin}, Compos. Math. 160, No. 1, 120--175 (2023; Zbl 07782529) Full Text: DOI arXiv
Wang, Gen-qiang; Chang, Yen Chih; Cheng, Sui Sun; Hou, Chengmin All nontrivial solutions of a complex dynamical system are periodic with prime period 9 or 18. (English) Zbl 07780919 Appl. Math. E-Notes 23, 83-89 (2023). MSC: 37F10 37F12 PDFBibTeX XMLCite \textit{G.-q. Wang} et al., Appl. Math. E-Notes 23, 83--89 (2023; Zbl 07780919) Full Text: Link
Gauthier, Thomas Dynamical pairs with an absolutely continuous bifurcation measure. (English. French summary) Zbl 07779473 Ann. Fac. Sci. Toulouse, Math. (6) 32, No. 2, 203-230 (2023). MSC: 37F46 37A35 PDFBibTeX XMLCite \textit{T. Gauthier}, Ann. Fac. Sci. Toulouse, Math. (6) 32, No. 2, 203--230 (2023; Zbl 07779473) Full Text: DOI arXiv
Lisboa, Lucivanio; Ribón, Javier A fixed-point curve theorem for finite-orbits local diffeomorphisms. (English) Zbl 1528.32022 Ergodic Theory Dyn. Syst. 43, No. 12, 4138-4165 (2023). MSC: 32H50 37C25 37F75 PDFBibTeX XMLCite \textit{L. Lisboa} and \textit{J. Ribón}, Ergodic Theory Dyn. Syst. 43, No. 12, 4138--4165 (2023; Zbl 1528.32022) Full Text: DOI arXiv
Sugiyama, Toshi The moduli space of polynomial maps and their fixed-point multipliers. II: Improvement to the algorithm and monic centered polynomials. (English) Zbl 07778998 Ergodic Theory Dyn. Syst. 43, No. 11, 3777-3795 (2023). MSC: 37F34 37F10 37P05 14D20 PDFBibTeX XMLCite \textit{T. Sugiyama}, Ergodic Theory Dyn. Syst. 43, No. 11, 3777--3795 (2023; Zbl 07778998) Full Text: DOI arXiv
Qiu, Weiyuan; Roesch, Pascale; Wang, Yueyang Erratum to: “Escape components of McMullen maps”. (English) Zbl 07778997 Ergodic Theory Dyn. Syst. 43, No. 11, 3776 (2023). MSC: 37F45 37F10 37F15 PDFBibTeX XMLCite \textit{W. Qiu} et al., Ergodic Theory Dyn. Syst. 43, No. 11, 3776 (2023; Zbl 07778997) Full Text: DOI
Qiu, Weiyuan; Roesch, Pascale; Wang, Yueyang Escape components of McMullen maps. (English) Zbl 07778996 Ergodic Theory Dyn. Syst. 43, No. 11, 3745-3775 (2023); erratum ibid. 43, No. 11, 3776 (2023). MSC: 37F44 37F10 37F20 37F15 PDFBibTeX XMLCite \textit{W. Qiu} et al., Ergodic Theory Dyn. Syst. 43, No. 11, 3745--3775 (2023; Zbl 07778996) Full Text: DOI
Clark, Trevor; De Faria, Edson; Van Strien, Sebastian Asymptotically holomorphic methods for infinitely renormalizable \(C^r\) unimodal maps. (English) Zbl 07778992 Ergodic Theory Dyn. Syst. 43, No. 11, 3636-3684 (2023). MSC: 37F25 37F10 37F15 37F44 37E20 30C62 PDFBibTeX XMLCite \textit{T. Clark} et al., Ergodic Theory Dyn. Syst. 43, No. 11, 3636--3684 (2023; Zbl 07778992) Full Text: DOI
Cai, Yi; Li, Wenxia Bases which admit exactly two expansions. (English) Zbl 07773860 Publ. Math. Debr. 103, No. 3-4, 339-384 (2023). MSC: 11A63 37F20 37B10 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{W. Li}, Publ. Math. Debr. 103, No. 3--4, 339--384 (2023; Zbl 07773860) Full Text: DOI arXiv
Qiu, Weiyuan; Wang, Yueyang Intersections between boundaries of bounded hyperbolic components of cubic polynomials. (English) Zbl 07767759 Math. Z. 305, No. 4, Paper No. 55, 36 p. (2023). Reviewer: Walter Bergweiler (Kiel) MSC: 37F15 37F10 37F12 PDFBibTeX XMLCite \textit{W. Qiu} and \textit{Y. Wang}, Math. Z. 305, No. 4, Paper No. 55, 36 p. (2023; Zbl 07767759) Full Text: DOI
Tsantaris, Athanasios Explosion points and topology of Julia sets of Zorich maps. (English) Zbl 07762918 Comput. Methods Funct. Theory 23, No. 4, 663-688 (2023). MSC: 37F80 37F10 30C65 54G15 54F65 PDFBibTeX XMLCite \textit{A. Tsantaris}, Comput. Methods Funct. Theory 23, No. 4, 663--688 (2023; Zbl 07762918) Full Text: DOI arXiv OA License
Rodriguez-Ramos, Constantino; Wilmott, Colin M. On the convex characterisation of the set of unital quantum channels. (English) Zbl 07762044 J. Phys. A, Math. Theor. 56, No. 45, Article ID 455308, 15 p. (2023). MSC: 81P47 81P05 35E10 81P16 32A19 70H45 81P65 37-XX PDFBibTeX XMLCite \textit{C. Rodriguez-Ramos} and \textit{C. M. Wilmott}, J. Phys. A, Math. Theor. 56, No. 45, Article ID 455308, 15 p. (2023; Zbl 07762044) Full Text: DOI arXiv OA License
Uehara, Hiroshi Siegel disks on rational surfaces. (English) Zbl 07761239 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 1, 235-263 (2023). MSC: 14J50 14J26 37B40 37F50 PDFBibTeX XMLCite \textit{H. Uehara}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 1, 235--263 (2023; Zbl 07761239) Full Text: DOI arXiv
Takatsuka, Kazuo Schrödinger dynamics in length-scale hierarchy: from spatial rescaling to Huygens-like proliferation of Gaussian wavepackets. (English) Zbl 07760614 J. Phys. A, Math. Theor. 56, No. 44, Article ID 445302, 22 p. (2023). MSC: 81Q05 81R30 42C40 37F46 28C20 81Q20 70G10 60J60 81S40 81U90 81U26 37H05 PDFBibTeX XMLCite \textit{K. Takatsuka}, J. Phys. A, Math. Theor. 56, No. 44, Article ID 445302, 22 p. (2023; Zbl 07760614) Full Text: DOI
Jaksztas, Ludwik On the directional derivative of the Hausdorff dimension of quadratic polynomial Julia sets at -2. (English) Zbl 07759054 Adv. Math. 433, Article ID 109297, 46 p. (2023). MSC: 37F35 37F44 37F10 PDFBibTeX XMLCite \textit{L. Jaksztas}, Adv. Math. 433, Article ID 109297, 46 p. (2023; Zbl 07759054) Full Text: DOI arXiv
Cheraghi, Davoud Arithmetic geometric model for the renormalisation of irrationally indifferent attractors. (English) Zbl 07758700 Nonlinearity 36, No. 12, 6403-6475 (2023). MSC: 37F25 37F50 37F10 PDFBibTeX XMLCite \textit{D. Cheraghi}, Nonlinearity 36, No. 12, 6403--6475 (2023; Zbl 07758700) Full Text: DOI arXiv OA License
Meigniez, Gaël Matching cells. (Cellules couplées.) (English. French summary) Zbl 07758508 Ann. Math. Blaise Pascal 30, No. 1, 97-106 (2023). Reviewer: Teresa I. Hoekstra-Mendoza (Ciudad de México) MSC: 57Q15 05C70 05E45 37C10 37F20 57Q70 PDFBibTeX XMLCite \textit{G. Meigniez}, Ann. Math. Blaise Pascal 30, No. 1, 97--106 (2023; Zbl 07758508) Full Text: DOI arXiv
Pakovich, Fedor Tame rational functions: decompositions of iterates and orbit intersections. (English) Zbl 07756999 J. Eur. Math. Soc. (JEMS) 25, No. 10, 3953-3978 (2023). MSC: 37F10 37F20 30D05 PDFBibTeX XMLCite \textit{F. Pakovich}, J. Eur. Math. Soc. (JEMS) 25, No. 10, 3953--3978 (2023; Zbl 07756999) Full Text: DOI arXiv
Amerik, Ekaterina; Verbitsky, Misha Parabolic automorphisms of hyperkähler manifolds. (English. French summary) Zbl 07755456 J. Math. Pures Appl. (9) 179, 232-252 (2023). MSC: 53C26 14D07 32G20 37F80 PDFBibTeX XMLCite \textit{E. Amerik} and \textit{M. Verbitsky}, J. Math. Pures Appl. (9) 179, 232--252 (2023; Zbl 07755456) Full Text: DOI arXiv
de Nova-Vázquez, Mónica On the Arnold’s classification conjecture on dynamics of complexity of linear intersections. (English) Zbl 07753814 J. Dyn. Control Syst. 29, No. 3, 1019-1035 (2023). MSC: 37F80 37F20 32C15 32H50 PDFBibTeX XMLCite \textit{M. de Nova-Vázquez}, J. Dyn. Control Syst. 29, No. 3, 1019--1035 (2023; Zbl 07753814) Full Text: DOI
Domínguez, Igsyl; Ponce, Mario Robust non-hyperbolic fibred quadratic polynomial dynamics. (English) Zbl 07751595 Discrete Contin. Dyn. Syst. 43, No. 11, 4099-4112 (2023). MSC: 37F10 37F15 37E10 37E45 PDFBibTeX XMLCite \textit{I. Domínguez} and \textit{M. Ponce}, Discrete Contin. Dyn. Syst. 43, No. 11, 4099--4112 (2023; Zbl 07751595) Full Text: DOI
Olechnowicz, Matt Dynamically improper hypersurfaces for endomorphisms of projective space. (English) Zbl 07751176 Proc. Am. Math. Soc., Ser. B 10, 311-325 (2023). MSC: 37P55 37F80 PDFBibTeX XMLCite \textit{M. Olechnowicz}, Proc. Am. Math. Soc., Ser. B 10, 311--325 (2023; Zbl 07751176) Full Text: DOI arXiv
Calegari, Danny A path through the roots. (English) Zbl 1522.37061 Notices Am. Math. Soc. 70, No. 7, 1143-1145 (2023). MSC: 37F10 37F20 30D05 PDFBibTeX XMLCite \textit{D. Calegari}, Notices Am. Math. Soc. 70, No. 7, 1143--1145 (2023; Zbl 1522.37061) Full Text: DOI
Cabrera, Carlos; Makienko, Peter On amenability and measure of maximal entropy for semigroups of rational maps. II. (English) Zbl 07749880 Int. J. Algebra Comput. 33, No. 6, 1099-1125 (2023). MSC: 37F44 37F10 43A07 20M10 20M15 PDFBibTeX XMLCite \textit{C. Cabrera} and \textit{P. Makienko}, Int. J. Algebra Comput. 33, No. 6, 1099--1125 (2023; Zbl 07749880) Full Text: DOI arXiv
Huczek, Aleksandra; Wiśnicki, Andrzej Theorems of Wolff-Denjoy type for semigroups of nonexpansive mappings in geodesic spaces. (English) Zbl 07749445 Math. Nachr. 296, No. 8, 3387-3394 (2023). MSC: 37B02 37D40 32Q45 16W22 PDFBibTeX XMLCite \textit{A. Huczek} and \textit{A. Wiśnicki}, Math. Nachr. 296, No. 8, 3387--3394 (2023; Zbl 07749445) Full Text: DOI
Iwai, Toshihiro A bulk-edge correspondence between the second Chern number and the spectral flow. (English) Zbl 07749146 Ann. Phys. 457, Article ID 169436, 44 p. (2023). MSC: 81Q10 70H05 05C70 58J30 58J50 14D21 14D06 35P05 81Q20 37F50 PDFBibTeX XMLCite \textit{T. Iwai}, Ann. Phys. 457, Article ID 169436, 44 p. (2023; Zbl 07749146) Full Text: DOI
Hu, Mi Interior dynamics of Fatou sets. (English) Zbl 1528.37039 Ann. Mat. Pura Appl. (4) 202, No. 6, 2903-2914 (2023). MSC: 37F10 37F12 37F20 PDFBibTeX XMLCite \textit{M. Hu}, Ann. Mat. Pura Appl. (4) 202, No. 6, 2903--2914 (2023; Zbl 1528.37039) Full Text: DOI arXiv OA License
Iglesias, J.; Portela, A.; Rovella, A.; Xavier, J. Branched coverings of the sphere having a completely invariant continuum with infinitely many Wada lakes. (English) Zbl 1528.37020 Topology Appl. 339, Part B, Article ID 108686, 8 p. (2023). MSC: 37B45 37E30 37E35 37F05 37F10 37F20 54F15 PDFBibTeX XMLCite \textit{J. Iglesias} et al., Topology Appl. 339, Part B, Article ID 108686, 8 p. (2023; Zbl 1528.37020) Full Text: DOI arXiv
Arfeux, Matthieu; Kiwi, Jan Irreducibility of periodic curves in cubic polynomial moduli space. (English) Zbl 07740486 Proc. Lond. Math. Soc. (3) 127, No. 3, 792-835 (2023). MSC: 14H10 14H15 37F10 37F20 37F44 PDFBibTeX XMLCite \textit{M. Arfeux} and \textit{J. Kiwi}, Proc. Lond. Math. Soc. (3) 127, No. 3, 792--835 (2023; Zbl 07740486) Full Text: DOI arXiv
Mj, Mahan; Mukherjee, Sabyasachi Combining rational maps and Kleinian groups via orbit equivalence. (English) Zbl 1527.37047 Proc. Lond. Math. Soc. (3) 126, No. 5, 1740-1809 (2023). MSC: 37F10 37F32 37F20 30F60 30C62 30D05 30F40 30J10 37F31 57M50 PDFBibTeX XMLCite \textit{M. Mj} and \textit{S. Mukherjee}, Proc. Lond. Math. Soc. (3) 126, No. 5, 1740--1809 (2023; Zbl 1527.37047) Full Text: DOI arXiv
Meng, Sheng; Zhong, Guolei Rigidity of rationally connected smooth projective varieties from dynamical viewpoints. (English) Zbl 07738731 Math. Res. Lett. 30, No. 2, 589-610 (2023). MSC: 14E05 14M22 14M25 37F80 PDFBibTeX XMLCite \textit{S. Meng} and \textit{G. Zhong}, Math. Res. Lett. 30, No. 2, 589--610 (2023; Zbl 07738731) Full Text: DOI arXiv
Alvez, A. M.; Machado, D. S.; Mehdipour, P.; Salarinoghabi, M. On a non-conformal cubic family and its application. (English) Zbl 07736305 Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 152, 17 p. (2023). MSC: 37F10 30D05 32H02 32H50 PDFBibTeX XMLCite \textit{A. M. Alvez} et al., Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 152, 17 p. (2023; Zbl 07736305) Full Text: DOI
Zhou, Die; Yang, Hui; Pi, Jinxiu; Yang, Guanghui The dynamics of a quantum Cournot duopoly with asymmetric information and heterogeneous players. (English) Zbl 07735708 Phys. Lett., A 483, Article ID 129033, 10 p. (2023). MSC: 81P40 03C45 91A07 81Q50 37D45 35A35 37F46 81-10 PDFBibTeX XMLCite \textit{D. Zhou} et al., Phys. Lett., A 483, Article ID 129033, 10 p. (2023; Zbl 07735708) Full Text: DOI
Fraser, Jonathan M.; Stuart, Liam Refined horoball counting and conformal measure for Kleinian group actions. (English) Zbl 07735111 Ann. Fenn. Math. 48, No. 1, 325-344 (2023). MSC: 37F32 37F31 37F35 30F40 11J83 PDFBibTeX XMLCite \textit{J. M. Fraser} and \textit{L. Stuart}, Ann. Fenn. Math. 48, No. 1, 325--344 (2023; Zbl 07735111) Full Text: DOI arXiv
Gao, Yan; Nie, Hongming Perturbations of graphs for Newton maps. I: bounded hyperbolic components. (English) Zbl 1528.37040 Ergodic Theory Dyn. Syst. 43, No. 9, 2997-3025 (2023). Reviewer: Walter Bergweiler (Kiel) MSC: 37F20 37F10 37F15 30D05 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{H. Nie}, Ergodic Theory Dyn. Syst. 43, No. 9, 2997--3025 (2023; Zbl 1528.37040) Full Text: DOI
Astorg, Matthieu; Bianchi, Fabrizio Hyperbolicity and bifurcations in holomorphic families of polynomial skew products. (English) Zbl 1527.37049 Am. J. Math. 145, No. 3, 861-898 (2023). MSC: 37F80 37F46 37F15 37F44 PDFBibTeX XMLCite \textit{M. Astorg} and \textit{F. Bianchi}, Am. J. Math. 145, No. 3, 861--898 (2023; Zbl 1527.37049) Full Text: DOI arXiv
Fuhrer, Aidan; Ransford, Thomas; Younsi, Malik Holomorphic motions, dimension, area and quasiconformal mappings. (English. French summary) Zbl 07731008 J. Math. Pures Appl. (9) 177, 455-483 (2023). Reviewer: Ioannis D. Platis (Heraklion) MSC: 37F44 37F31 37F35 30C62 31A05 PDFBibTeX XMLCite \textit{A. Fuhrer} et al., J. Math. Pures Appl. (9) 177, 455--483 (2023; Zbl 07731008) Full Text: DOI arXiv
Nie, Hongming Berkovich dynamics of Newton maps. (English) Zbl 1526.37094 Math. Z. 304, No. 4, Paper No. 67, 41 p. (2023). MSC: 37P50 37F44 37P40 37P45 PDFBibTeX XMLCite \textit{H. Nie}, Math. Z. 304, No. 4, Paper No. 67, 41 p. (2023; Zbl 1526.37094) Full Text: DOI
Ghora, Subhasis; Nayak, Tarakanta; Sahoo, Satyajit On Fatou sets containing Baker omitted value. (English) Zbl 07729214 J. Dyn. Differ. Equations 35, No. 3, 2621-2639 (2023). Reviewer: Tao Chen (New York) MSC: 37F10 37F20 37F12 30D30 PDFBibTeX XMLCite \textit{S. Ghora} et al., J. Dyn. Differ. Equations 35, No. 3, 2621--2639 (2023; Zbl 07729214) Full Text: DOI arXiv
Pardo-Simón, Leticia Splitting hairs with transcendental entire functions. (English) Zbl 1527.37048 Int. Math. Res. Not. 2023, No. 15, 13387-13425 (2023). Reviewer: Shamil Makhmutov (Masqaṭ) MSC: 37F10 37F20 30D15 30D20 PDFBibTeX XMLCite \textit{L. Pardo-Simón}, Int. Math. Res. Not. 2023, No. 15, 13387--13425 (2023; Zbl 1527.37048) Full Text: DOI arXiv
Boily, Vanessa; Rochon, Dominic On the algebraic foundation of the Mandelbulb. (English) Zbl 1525.37047 Fractals 31, No. 5, Article ID 2350062, 15 p. (2023). MSC: 37F46 28A80 PDFBibTeX XMLCite \textit{V. Boily} and \textit{D. Rochon}, Fractals 31, No. 5, Article ID 2350062, 15 p. (2023; Zbl 1525.37047) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Selinger, Nikita; Timorin, Vladlen; Vejandla, Sandeep Chowdary Symmetric cubic laminations. (English) Zbl 07725767 Conform. Geom. Dyn. 27, 264-293 (2023). Reviewer: Haifeng Chu (Xi’an) MSC: 37F20 37F10 PDFBibTeX XMLCite \textit{A. Blokh} et al., Conform. Geom. Dyn. 27, 264--293 (2023; Zbl 07725767) Full Text: DOI arXiv
Inou, Hiroyuki; Wang, Yimin Straightening maps for polynomials with one bounded critical orbit. (English) Zbl 07723924 J. Geom. Anal. 33, No. 10, Paper No. 314, 19 p. (2023). MSC: 37F31 37F12 37F20 PDFBibTeX XMLCite \textit{H. Inou} and \textit{Y. Wang}, J. Geom. Anal. 33, No. 10, Paper No. 314, 19 p. (2023; Zbl 07723924) Full Text: DOI
Clark, Trevor; Drach, Kostiantyn; Kozlovski, Oleg; van Strien, Sebastian Correction to: “The dynamics of complex box mappings”. (English) Zbl 1516.37054 Arnold Math. J. 9, No. 2, 303-304 (2023). MSC: 37F44 37F10 37F15 37F20 37F25 PDFBibTeX XMLCite \textit{T. Clark} et al., Arnold Math. J. 9, No. 2, 303--304 (2023; Zbl 1516.37054) Full Text: DOI
Clark, Trevor; Drach, Kostiantyn; Kozlovski, Oleg; van Strien, Sebastian Correction to: “The dynamics of complex box mappings”. (English) Zbl 1516.37053 Arnold Math. J. 9, No. 2, 301-302 (2023). MSC: 37F44 37F10 37F15 37F20 37F25 PDFBibTeX XMLCite \textit{T. Clark} et al., Arnold Math. J. 9, No. 2, 301--302 (2023; Zbl 1516.37053) Full Text: DOI
Bonifant, Araceli; Estabrooks, Chad; Sharland, Thomas Relations between escape regions in the parameter space of cubic polynomials. (English) Zbl 07720679 Arnold Math. J. 9, No. 2, 245-265 (2023). MSC: 37F20 37F10 PDFBibTeX XMLCite \textit{A. Bonifant} et al., Arnold Math. J. 9, No. 2, 245--265 (2023; Zbl 07720679) Full Text: DOI arXiv
Liu, Wanfang; Fu, Jing; Zheng, Li; Zhang, Liwei; Ding, Chengyun Quantum correlations and entanglement in electromagnetically induced transparency system. (English) Zbl 07719542 Int. J. Theor. Phys. 62, No. 6, Paper No. 127, 22 p. (2023). MSC: 81V45 81P40 62H20 81P15 35B20 32A37 81S22 81P47 PDFBibTeX XMLCite \textit{W. Liu} et al., Int. J. Theor. Phys. 62, No. 6, Paper No. 127, 22 p. (2023; Zbl 07719542) Full Text: DOI
Dudko, Dzmitry; Lyubich, Mikhail Local connectivity of the Mandelbrot set at some satellite parameters of bounded type. (English) Zbl 1526.37062 Geom. Funct. Anal. 33, No. 4, 912-1047 (2023). Reviewer: Kevin M. Pilgrim (Bloomington) MSC: 37F46 37F20 37F25 37F40 30D20 30D30 PDFBibTeX XMLCite \textit{D. Dudko} and \textit{M. Lyubich}, Geom. Funct. Anal. 33, No. 4, 912--1047 (2023; Zbl 1526.37062) Full Text: DOI arXiv
Mamayusupov, Khudoyor Accesses to parabolic fixed point from its immediate basin. (English) Zbl 1520.30040 Mosc. Math. J. 23, No. 2, 271-282 (2023). MSC: 30D05 37F10 37F20 PDFBibTeX XMLCite \textit{K. Mamayusupov}, Mosc. Math. J. 23, No. 2, 271--282 (2023; Zbl 1520.30040) Full Text: Link
Godin, Jonathan; Rousseau, Christiane Analytic classification of generic unfoldings of antiholomorphic parabolic fixed points of codimension 1. (English) Zbl 1523.37056 Mosc. Math. J. 23, No. 2, 169-203 (2023). MSC: 37F12 37F46 37F34 37F44 32H50 PDFBibTeX XMLCite \textit{J. Godin} and \textit{C. Rousseau}, Mosc. Math. J. 23, No. 2, 169--203 (2023; Zbl 1523.37056) Full Text: arXiv Link
Pfrang, David; Rothgang, Michael; Schleicher, Dierk Homotopy Hubbard trees for post-singularly finite exponential maps. (English) Zbl 07714651 Ergodic Theory Dyn. Syst. 43, No. 1, 253-298 (2023). MSC: 37F20 37F10 37F46 37B10 37E25 PDFBibTeX XMLCite \textit{D. Pfrang} et al., Ergodic Theory Dyn. Syst. 43, No. 1, 253--298 (2023; Zbl 07714651) Full Text: DOI arXiv
Chen, Tao; Jiang, Yunping; Keen, Linda Slices of parameter space for meromorphic maps with two asymptotic values. (English) Zbl 1523.37059 Ergodic Theory Dyn. Syst. 43, No. 1, 99-139 (2023). MSC: 37F46 37F20 37F10 30D30 32A20 PDFBibTeX XMLCite \textit{T. Chen} et al., Ergodic Theory Dyn. Syst. 43, No. 1, 99--139 (2023; Zbl 1523.37059) Full Text: DOI arXiv
Luo, M. J. Quantum modified gravity at low energy in the Ricci flow of quantum spacetime. (English) Zbl 1528.83051 Int. J. Theor. Phys. 62, No. 4, Paper No. 91, 26 p. (2023). MSC: 83C56 83C45 76A05 14D15 53E20 37F25 83C05 53C21 83C25 PDFBibTeX XMLCite \textit{M. J. Luo}, Int. J. Theor. Phys. 62, No. 4, Paper No. 91, 26 p. (2023; Zbl 1528.83051) Full Text: DOI arXiv
Kuznetsova, Alexandra Regularizations of pseudo-automorphisms with positive algebraic entropy. (English) Zbl 07708799 J. Mod. Dyn. 19, 237-268 (2023). MSC: 14J50 14E07 32H50 37F10 PDFBibTeX XMLCite \textit{A. Kuznetsova}, J. Mod. Dyn. 19, 237--268 (2023; Zbl 07708799) Full Text: DOI
Blokh, Alexander; Haïssinsky, Peter; Oversteegen, Lex; Timorin, Vladlen On critical renormalization of complex polynomials. (English) Zbl 07707518 Adv. Math. 428, Article ID 109135, 28 p. (2023). MSC: 37F25 37F10 PDFBibTeX XMLCite \textit{A. Blokh} et al., Adv. Math. 428, Article ID 109135, 28 p. (2023; Zbl 07707518) Full Text: DOI arXiv
vom Ende, Frederik Quantum-dynamical semigroups and the church of the larger Hilbert space. (English) Zbl 1527.81025 Open Syst. Inf. Dyn. 30, No. 1, Article ID 2350003, 20 p. (2023). MSC: 81P47 37F44 47A20 62M09 81S22 70H05 46C05 37L05 PDFBibTeX XMLCite \textit{F. vom Ende}, Open Syst. Inf. Dyn. 30, No. 1, Article ID 2350003, 20 p. (2023; Zbl 1527.81025) Full Text: DOI arXiv
Bogdanov, Konstantin Infinite-dimensional Thurston theory and transcendental dynamics. I: Infinite-legged spiders. (English) Zbl 07704574 Fundam. Math. 261, No. 2, 157-200 (2023). MSC: 37F20 37F34 37F10 37F12 PDFBibTeX XMLCite \textit{K. Bogdanov}, Fundam. Math. 261, No. 2, 157--200 (2023; Zbl 07704574) Full Text: DOI arXiv
Benedetto, Robert L.; Goksel, Vefa Misiurewicz polynomials and dynamical units, part I. (English) Zbl 1523.37052 Int. J. Number Theory 19, No. 6, 1249-1267 (2023). MSC: 37F10 37F34 37P05 37P35 11R09 PDFBibTeX XMLCite \textit{R. L. Benedetto} and \textit{V. Goksel}, Int. J. Number Theory 19, No. 6, 1249--1267 (2023; Zbl 1523.37052) Full Text: DOI arXiv
Reppekus, Josias Small divisors in discrete local holomorphic dynamics. (English) Zbl 07703437 Boll. Unione Mat. Ital. 16, No. 2, 173-202 (2023). MSC: 37F80 37F75 37F44 PDFBibTeX XMLCite \textit{J. Reppekus}, Boll. Unione Mat. Ital. 16, No. 2, 173--202 (2023; Zbl 07703437) Full Text: DOI
Ilin, R. V.; Paston, S. A. Dual models for \(p\)-form mimetic gravity and their connection to perfect fluids consisting of \((p+1)\)-branes. (English) Zbl 1523.83013 Phys. Lett., B 841, Article ID 137952, 5 p. (2023). MSC: 83C40 78A60 83E30 78A30 16D90 70H40 32S65 83C55 PDFBibTeX XMLCite \textit{R. V. Ilin} and \textit{S. A. Paston}, Phys. Lett., B 841, Article ID 137952, 5 p. (2023; Zbl 1523.83013) Full Text: DOI arXiv
Ji, Zhuchao; Xie, Junyi Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics. (English) Zbl 1519.37041 Forum Math. Pi 11, Paper No. e11, 37 p. (2023). MSC: 37F10 37F20 37F34 37P05 37P35 PDFBibTeX XMLCite \textit{Z. Ji} and \textit{J. Xie}, Forum Math. Pi 11, Paper No. e11, 37 p. (2023; Zbl 1519.37041) Full Text: DOI arXiv
Ji, Zhuchao Non-uniform hyperbolicity in polynomial skew products. (English) Zbl 07690541 Int. Math. Res. Not. 2023, No. 10, 8755-8799 (2023). MSC: 37F10 37F15 PDFBibTeX XMLCite \textit{Z. Ji}, Int. Math. Res. Not. 2023, No. 10, 8755--8799 (2023; Zbl 07690541) Full Text: DOI arXiv
Becker, Devin; Furno, Joanna; Koss, Lorelei Dynamical convergence of polynomials to products of power maps and the exponential. (English) Zbl 1521.37042 New York J. Math. 29, 441-466 (2023). Reviewer: Yupin Wang (Jinan) MSC: 37F10 37F46 30D05 PDFBibTeX XMLCite \textit{D. Becker} et al., New York J. Math. 29, 441--466 (2023; Zbl 1521.37042) Full Text: Link
Koss, Lorelei; Nash, Alex Cantor and connected Julia sets of the parameterized Dixon elliptic functions. (English) Zbl 1526.37056 J. Difference Equ. Appl. 29, No. 3, 297-314 (2023). MSC: 37F10 37F20 37F46 33E05 PDFBibTeX XMLCite \textit{L. Koss} and \textit{A. Nash}, J. Difference Equ. Appl. 29, No. 3, 297--314 (2023; Zbl 1526.37056) Full Text: DOI
Stolovitch, Laurent; Zhao, Zhiyan Geometry of hyperbolic Cauchy-Riemann singularities and KAM-like theory for holomorphic involutions. (English) Zbl 1521.32038 Math. Ann. 386, No. 1-2, 587-672 (2023). Reviewer: Masoud Sabzevari (Shahr-e Kord) MSC: 32V40 37F50 37J40 51M15 70H08 PDFBibTeX XMLCite \textit{L. Stolovitch} and \textit{Z. Zhao}, Math. Ann. 386, No. 1--2, 587--672 (2023; Zbl 1521.32038) Full Text: DOI arXiv
Astorg, Matthieu; Boc Thaler, Luka; Peters, Han Wandering domains arising from Lavaurs maps with Siegel disks. (English) Zbl 1518.32004 Anal. PDE 16, No. 1, 35-88 (2023). MSC: 32H50 37F10 37G15 PDFBibTeX XMLCite \textit{M. Astorg} et al., Anal. PDE 16, No. 1, 35--88 (2023; Zbl 1518.32004) Full Text: DOI
Ishikawa, Isao Bounded composition operators on functional quasi-Banach spaces and stability of dynamical systems. (English) Zbl 07685687 Adv. Math. 424, Article ID 109048, 23 p. (2023). MSC: 47B33 37C05 PDFBibTeX XMLCite \textit{I. Ishikawa}, Adv. Math. 424, Article ID 109048, 23 p. (2023; Zbl 07685687) Full Text: DOI arXiv
Berteloot, François; Cheraghi, Davoud Lacunary series, resonances, and automorphisms of \({\mathbb{C}^2}\) with a round Siegel domain. (English) Zbl 1517.32036 Kyoto J. Math. 63, No. 2, 421-433 (2023). MSC: 32H50 32M05 37F50 PDFBibTeX XMLCite \textit{F. Berteloot} and \textit{D. Cheraghi}, Kyoto J. Math. 63, No. 2, 421--433 (2023; Zbl 1517.32036) Full Text: DOI arXiv Link
Dudko, Artem; Gorbovickis, Igors; Tucker, Warwick Lower bounds on the Hausdorff dimension of some Julia sets. (English) Zbl 1525.37046 Nonlinearity 36, No. 5, 2867-2893 (2023). Reviewer: Weiwei Cui (Lund) MSC: 37F35 37F10 PDFBibTeX XMLCite \textit{A. Dudko} et al., Nonlinearity 36, No. 5, 2867--2893 (2023; Zbl 1525.37046) Full Text: DOI arXiv