共查询到20条相似文献,搜索用时 0 毫秒
1.
David Tischler 《Proceedings of the American Mathematical Society》2000,128(2):621-622
For an analytic map of the closed unit disk onto itself that leaves the boundary circle invariant, we give necessary and sufficient conditions for the map of the boundary to be expanding.
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Artur Avila 《Bulletin of the Brazilian Mathematical Society》2013,44(4):611-619
We give examples of analytic critical circle maps which are not C 1+α rigid. 相似文献
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Masato Tsujii 《Inventiones Mathematicae》2001,143(2):349-373
We prove the existence of absolutely continuous invariant measures for arbitrary expanding piecewise linear maps on bounded polyhedral domains in Euclidean spaces ℝ d . Oblatum 6-V-1999 & 8-VI-2000?Published online: 11 October 2000 相似文献
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For homotopies of quasigroups, an analog of the fundamental theorem on homomorphisms does not hold in general. In this paper, we consider two approaches that allow one to obtain an analog of this theorem: the introduction of strict homotopies and the move from quasigroups to three-sorted quasigroups. 相似文献
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Cui Guizhen 《数学学报(英文版)》1996,12(2):122-125
A conjugacy betweenC
1+ -hyperbolic circle covering maps isC
1+ if it has a positive derivative on some point in the -set. 相似文献
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Zvi Artstein 《Rendiconti del Circolo Matematico di Palermo》1984,33(3):340-350
Representations of multivalued maps as pointwise closure of a sequence of point-valued functions are derived from functional analytic considerations. Characterizations of convergence in the space of multifunctions, and of the ensemble of selections are implied. 相似文献
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Summary Given two pointsx, yS
1 randomly chosen independently by a mixing absolutely continuous invariant measure of a piecewise expanding and smooth mapf of the circle, we consider for each >0 the point process obtained by recording the timesn>0 such that |f
n
(x)–f
n
(y)|. With the further assumption that the density of is bounded away from zero, we show that when tends to zero the above point process scaled by –1 converges in law to a marked Poisson point process with constant parameter measure. This parameter measure is given explicity by an average on the rate of expansion off.Partially supported by FAPESP grant number 90/3918-5 相似文献
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Let X be a Banach space and T:X → X a continuous map, which is expanding (i.e., ∥Tu ? Tv∥ ? ∥u ? v∥ for all u, v?X) and such that T(X) has a nonempty interior. Does this guarantee that T is onto? We give a counterexample in the case of X=L1(N). 相似文献
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Yannis Tsertos 《Rendiconti del Circolo Matematico di Palermo》1997,46(2):309-316
Starting from a given *-algebra, we consider integral representations of positive linear forms on the hermitian spectrum of the algebra, providing necessary and sufficient conditions theorem. This specializes to previous results of R. S. Bucy—G. Maltese and G. Maltese for Banach *-algebras, and M. Fragoulopoulou for Imc *-algebras. 相似文献
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The iterates of expanding maps of the unit interval into itself have many of the properties of a more conventional stochastic
process, when the expanding map satisfies some regularity conditions and when the starting point is suitably chosen at random.
In this paper, we show that the sequence of iterates can be closely tied to an m-dependent process. This enables us to prove good bounds on the accuracy of Gaussian approximations. Our main tools are coupling
and Stein's method.
Received: 27 June 1997 / Revised version: 21 September 1998 相似文献
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Marek Niezgoda 《Linear algebra and its applications》2007,426(1):149-158
We study group induced cone (GIC) orderings generating normal maps. Examples of normal maps cover, among others, the eigenvalue map on the space of n × n Hermitian matrices as well as the singular value map on n × n complex matrices. In this paper, given two linear spaces equipped with GIC orderings induced by groups of orthogonal operators, we investigate linear operators preserving normal maps of the orderings. A characterization of the preservers is obtained in terms of the groups. The result is applied to show that the normal structure of the spaces is preserved under the action of the operators. In addition, examples are given. 相似文献
16.
Konstantin Khanin Saša Kocić 《Proceedings of the Steklov Institute of Mathematics》2017,297(1):200-207
For any α ∈ (0, 1), c ∈ ?+ \ {1} and γ > 0 and for Lebesgue almost all irrational ρ ∈ (0, 1), any two C 2+α -smooth circle diffeomorphisms with a break, with the same rotation number ρ and the same size of the breaks c, are conjugate to each other via a C 1-smooth conjugacy whose derivative is uniformly continuous with modulus of continuity ω(x) = A|log x|?γ for some A > 0. 相似文献
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V. Yu. Protasov 《Functional Analysis and Its Applications》2011,45(1):46-55
We study continuous subadditive set-valued maps taking points of a linear space X to convex compact subsets of a linear space Y. The subadditivity means that φ(x
1 + x
2) ⊂ φ(x
1) + φ(x
2). We characterize all pairs of locally convex spaces (X, Y) for which any such map has a linear selection, i.e., there exists a linear operator A: X → Y such that Ax ∈ φ(x), x ∈ X. The existence of linear selections for a class of subadditive maps generated by differences of a continuous function is
proved. This result is applied to the Lipschitz stability problem for linear operators in Banach spaces. 相似文献
19.
Lauren W. Ancel Michael W. Hero 《Proceedings of the American Mathematical Society》1998,126(4):1191-1197
An interval in the circle is one-way with respect to a map if under repeated applications of all points of the interval move in the same direction. The main result is that every locally one-way interval is either one-way or is the union of two overlapping one-way subintervals. An example is given which illustrates that the latter case can occur; however, it is proved that the latter case cannot occur if the interval is covered by the image of the map. As a corollary, it is shown that if has periodic points, then every interval which contains no periodic points is either one-way or is the union of two overlapping one-way subintervals.