Đề tài " On the Julia set of a typical quadratic polynomial with a Siegel disk " ppt

... rational maps with Siegel disks; see for example [P2] and [Mc2] for the case of quadratic polynomials, and [Z1] and [YZ] for variants in the case of cubic polynomials and quadratic rational maps. 3.2. ... reaches a different iterated preimage of β. We call I = I(P) ⊂ ∂U the base arc of the puzzle piece P . Annals of Mathematics On the Julia set of a...

Ngày tải lên: 14/03/2014, 22:20

... Recall that a period of an algebraic variety defined by polynomial equations with algebraic coefficients is the integral of an algebraic differential against a rational homology cycle. In his article ... X; a subvariety of X has a cycle class in the dual of a rational homology space of X and the duals of these cycle classes span a subspace of homology, which mi...

Ngày tải lên: 14/03/2014, 22:20

... P  |W a 1 (ct) ∩ W a 2 (ct)|≥t  = −I κ a d (c) and derive a variational representation for the rate constant I κ a d (c). Here, κ a is the Newtonian capacity of the ball with radius a. We show that ... intersection volume may either increase or decrease when the Wiener sausages are wrapped around Λ N , so there is no simple comparison available. Proof. The proof i...

Ngày tải lên: 14/02/2014, 17:20

... the pull-back of the relative tangent bundle. The ¯ ∂ J -equation giving J-holomorphic deformations of σ acts on the latter bundle. On the other hand, the middle term exhibits variations of the ... M U,V . Proof. In Proposition 4.1 we established surjectivity of the linearization of the map (6). An application of the implicit function theorem with J ∈J U,...

Ngày tải lên: 16/02/2014, 05:20

... Graph associated to an impossible planar Zappatic surface. that G X = G, the 2-skeleton of G has to consist of the face bounded by the 1-skeleton. We can also consider an example of a good Zappatic ... good, planar Zappatic surface, E = ˜ E and the 1-skeleton G (1) X of G X coincides with the dual graph G D of the general hyperplane section D of X. As a straightf...

Ngày tải lên: 16/02/2014, 06:20

... that the p-adic number α  := +∞  k=1 a k p k is transcendental. As in the proof of Theorem 5, the key fact is the observa- tion that α  admits infinitely many good rational approximants obtained ... prove that the b-ary expansion of every irrational algebraic number cannot have low complexity. Furthermore, we es- tablish that irrational morphic numbers are transcendental, fo...

Ngày tải lên: 16/02/2014, 06:20

... con- straint? In projection constraints, a value for the x variable has only one possible extension to a value for the y variable; but a value for the y variable may leave many possible values ... exam- ple, the family of all subsets containing at least 3 out of 4 fixed elements is 2-intersecting, and is maximal for a certain range of values of k/n. Frankl [Fra78] inves...

Ngày tải lên: 15/03/2014, 09:20

... Perron-Frobenius theorem through the contraction of cones of ‘real-analytic’ functions. The pressure function may then be calculated as the averaged action of the operator on a hyperbolic fixed point ... Julia set on the Riemann sphere we show that if the family of maps and the probability law depend real- analytically on parameters then so does its almost sur...

Ngày tải lên: 15/03/2014, 09:20

... results on the classification of simple, unital AH algebras via the Elliott invariant of K-theoretic data are the best possible, and that these cannot be improved by the addition of continuous ... understand D any better than C, then one has achieved little; the range of a classifying invariant is an essential part of any classification result. Theorems 1.1 and 1.2 show...

Ngày tải lên: 16/02/2014, 06:20

... thus the assumption that the closure of M contains a nonempty open subset led to a contradiction. Corollary 3.11. Assume that X  is separable. Then any convex con- tinuous function on an open ... metrizable spaces has a continuous restriction to a suitable residual subset. Remark. Without assuming the separability of L not only does the proof not work but the statemen...

Ngày tải lên: 05/03/2014, 23:20