Đề tài " On the dimensions of conformal repellers Randomness and parameter dependency " pot

... 695–748 On the dimensions of conformal repellers. Randomness and parameter dependency By Hans Henrik Rugh Abstract Bowen’s formula relates the Hausdorff dimension of a conformal repeller to the zero of ... within the framework (and restrictions) of TF. I am not aware, however, of any results published on this. ON THE DIMENSIONS OF CONFORMAL REP...

Ngày tải lên: 15/03/2014, 09:20

... second term on the right-hand side of the analogue of (2.93). 4. Proof of Theorem 3 In Sections 4–6 we prove Theorems 3–5. The proof follows the same line of reasoning as in [3, §5], but there ... N-boxes), and therefore the estimate in (2.63) implies that most of the intersection volume is unaffected by the reflections. 8. Before giving the proof of Propositions...

Ngày tải lên: 14/02/2014, 17:20

... for the size of the neighbourhood V of the singular set on noncontracted components is the diameter of ϕ(V )inM; on contracted components one may take the smallest ε with V contained in the ε-thin ... if and only if |C| is smooth and m(C) = 0 if and only if C has no multiple components. The definition of the C 0 -topology on the space of pseudo-holomorph...

Ngày tải lên: 16/02/2014, 05:20

... component of type (i), then the intersection in codimension one of any two distinct components can only be a line. If there is no component of type (i), then the intersection in codimension one of ... components X 1 and X 2 meeting along a conic. If there are THE K 2 OF DEGENERATIONS OF SURFACES 361 other components, then there is a component X  meeting all the rest alo...

Ngày tải lên: 16/02/2014, 06:20

... to the proof of Theorem 5. Keep the notation and the assumptions of this theorem. Assume that the parameter w>1 is fixed, as well as the sequences (U n ) n≥1 and (V n ) n≥1 occurring in the ... get, on the one hand, that |U n | |V n | ≤ |W 1 | 1+|W 2 | ≤ r − 1 and, on the other hand, that σ n (u) is a prefix of V n of length at least 1/r times the length...

Ngày tải lên: 16/02/2014, 06:20

... primitive and odd Dirichlet character. Another way to prove this equality is to apply (9) to the definition of the function η. 3.2. The proofs. The notations of Sections 1 and 2, and the conventions of ... values of the Γ-function. This leads to the conjecture of Gross-Deligne, which is described precisely in the last section of this paper. The main contribu...

Ngày tải lên: 14/03/2014, 22:20

... The value of p is constrained by additional technical complications stemming from the structure imposed by the PCP theorem. 1.4. Stronger PCP theorems and hardness of approximation. The PCP theorem ... monotone then [F] 3 4 C is monotone. • If F is intersecting, and p ≤ 1 2 , then [F] 3 4 C is intersecting. Proof. The first assertion is immediate. For the second assertion,...

Ngày tải lên: 15/03/2014, 09:20

... transversal, and hence would imply a self intersection of u contradicting the injectivity of u. Therefore, the image of u does not intersect the asymptotic limits of the punctures Γ and the proof of Theorem ... family of leaves all having the same asymptotic limits. One parameter is defined by -action on F. The image of the 2 -parameter family under the...

Ngày tải lên: 05/03/2014, 23:20

... reaches the boundary of a drop U of minimal generation. It then follows the boundary of U along a nontrivial arc I. Finally, it returns along the boundaries of another chain of descendants of U ... argument. This is one of the reasons why we adopt the original construction of [P2] in what follows. Here is the strategy of this construction: For the above simple...

Ngày tải lên: 14/03/2014, 22:20

... divisible, and have property (SP), minimal stable rank, and next-to-minimal real rank; the proof of the theorem is elemen- tary compared to the intricate constructions of [R1] and [T], and demonstrates the ... that the Elliott conjecture would not hold at its boldest, but the question of whether the addition of some small amount of new information to Ell(•) cou...

Ngày tải lên: 16/02/2014, 06:20