Found 33 Documents (Results 1–33)
Absolute continuity of the limit distributions associated by critical circle maps. (English) Zbl 1524.37036
A phase transition for circle maps with a flat spot and different critical exponents. (English) Zbl 1479.37037
Rigidity, universality, and hyperbolicity of renormalization for critical circle maps with non-integer exponents. (English) Zbl 1441.37049
Renormalization of bi-cubic circle maps. (English. French summary) Zbl 07908820
A piecewise rotation of the circle, IPR maps and their connection with translation surfaces. (English) Zbl 1407.37061
Ferenczi, Sébastien (ed.) et al., Ergodic theory and dynamical systems in their interactions with arithmetics and combinatorics. Lecture notes from the workshops held at the CIRM Jean-Morlet Chair, Marseille, France, Fall 2016. Cham: Springer; Paris: Société Mathématique de France SMF). Lect. Notes Math. 2213, 393-431 (2018).
Conjugations between two critical circle maps with non-integer exponents. (English) Zbl 1403.37049
Azamov, Abdulla (ed.) et al., Differential equations and dynamical systems. 2 USUZCAMP. Selected papers based on the presentations at the special session of the 2nd USA-Uzbekistan conference on analysis and mathematical physics, Urgench, Uzbekistan, August 8–12, 2017. Cham: Springer (ISBN 978-3-030-01475-9/hbk; 978-3-030-01476-6/ebook). Springer Proceedings in Mathematics & Statistics 268, 153-168 (2018).
Rigidity of critical circle maps. (English) Zbl 1400.37047
Reviewer: Fernanda Botelho (Memphis)
Beau bounds for multicritical circle maps. (English) Zbl 1394.37071
Reviewer: William J. Satzer Jr. (St. Paul)
Real bounds and Lyapunov exponents. (English) Zbl 1364.37091
Reviewer: Maria Fernanda Botelho (Memphis)
On embedding lifts over a Morse function on a circle. (English) Zbl 1298.57026
Reviewer: Dorin Andrica (Riyadh)
Generalization of the Feigenbaum-Kadanoff-Shenker renormalization and critical phenomena associated with the golden mean quasiperiodicity. (English) Zbl 1050.37020
Pikovsky, Arkady (ed.) et al., Synchronization: Theory and application. Proceedings of the NATO Advanced Study Institute, Yalta, Crimea, Ukraine, May 19–June 1, 2002. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1417-1/pbk; 1-4020-1416-3/hbk). NATO Sci. Ser. II, Math. Phys. Chem. 109, 79-100 (2003).
Geometric differentiation for the intelligence of curves and surfaces. 2nd ed. (English) Zbl 1013.53001
Cambridge: Cambridge University Press. xv, 333 p. (2001).
Reviewer: Udo Hertrich-Jeromin (Berlin)
Bounds for maps of an interval with one critical point of inflection type. II. (English) Zbl 0986.37027
Reviewer: Messoud Efendiev (Berlin)
Herman’s proof of the existence of critical points on the boundary of singular domains. (English) Zbl 0938.30018
Kriete, Hartje (ed.), Progress in holomorphic dynamics. Harlow: Longman. Pitman Res. Notes Math. Ser. 387, 31-40 (1998).
Reviewer: I.N.Baker (London)
MSC:
30D05
Critical circle maps near bifurcation. (English) Zbl 0857.58034
Reviewer: S.-D.Cartianu (Bucureşti)
MSC:
37G99
A priori bounds for \(C^ 2\) homeomorphisms of the circle. (English) Zbl 0856.58011
Reviewer: G.Swiatek (University Park)
MSC:
37E99
Investigation of a neighborhood of a degenerate one-dimensional orbit of the Poisson action of \(\mathbb{R}^2\) in \(M^4\). (English. Russian original) Zbl 0995.37041
Proc. Steklov Inst. Math. 205, 103-118 (1995); translation from Tr. Mat. Inst. Steklova 205, 113-130 (1994).
Reviewer: Messoud Efendiev (Berlin)
MSC:
37J15
Existence, non-existence and universal breakdown of dissipative golden invariant tori. III: Invariant circles for mappings of the annulus. (English) Zbl 0759.58042
Reviewer: T.Bokareva (Chelyabinsk)
Existence, non-existence and universal breakdown of dissipative golden invariant tori. II: Convergence of renormalization for mappings of the annulus. (English) Zbl 0759.58041
Reviewer: T.Bokareva (Chelyabinsk)
Existence, non-existence and universal breakdown of dissipative golden invariant tori. I: Golden critical circle maps. (English) Zbl 0759.58040
Reviewer: T.Bokareva (Chelyabinsk)
Renormalization in a circle map with two inflection points. (English) Zbl 0748.58012
Reviewer: B.G.Konopelchenko (Novosibirsk)
Upper and lower bounds on the Renyi dimensions and the uniformity of multifractals. (English) Zbl 0698.60021
Fractal boundary for the existence of invariant circles for area- preserving maps: Observations and renormalisation explanation. (English) Zbl 0696.58032
Presentation functions and scaling function theory for circle maps. (English) Zbl 0682.58025
Reviewer: R.Cowen
MSC:
37B99
Isolated chain recurrent points for one-dimensional maps. (English) Zbl 0567.54025
MSC:
54H20
26A18
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