Tài liệu Đề tài " Index theorems for holomorphic self-maps " docx

... R 2 , Annals of Mathematics Index theorems for holomorphic self-maps By Marco Abate, Filippo Bracci, and Francesca Tovena INDEX THEOREMS FOR HOLOMORPHIC SELF-MAPS 837 where T 1 = ∂z p ∂ˆz h a ν f −1 z 1 ν f  =1 ∂a ∂z j  ∂ ∂z p ⊗ ... be comfortable for S. Roughly speaking, then, a comfortably embedded submanifold is like a first- order approximation of the...

Ngày tải lên: 14/02/2014, 17:20

... MÔN HỌC KHAI THÁC DỮ LIỆU VÀ ỨNG DỤNG ĐỀ TÀI : MÃ HOÁ HỆ ĐA CẤP ĐA KẾ THỪA THAY CHO PHÉP TÍNH LƯỚI DỰA TRÊN TÀI LIỆU : ENCODING MULTIPLE INHERITANCE HIERARCHIES FOR LATTICE OPERATIONS ... bằng chứng của sự chính xác, m ột loạt bổ đề hữu ích được trình bày. Bổ đề 1 (Thay thế) )()()()()()( zxzyandyx γ γ γ γ γ γ ⊇ ⇒ ⊇ ⊇ . Chứng minh. Bổ đề sau sự thật là )()( yx γ γ ⊇...

Ngày tải lên: 19/01/2014, 13:20

... diffeomorphic for arbitrarily large n i . Thus f n | I is diffeomorphic for all n>0, which shows that I is a homterval. Since f has no wandering intervals [6], this means that ω(x) is a periodic orbit for ... Crit and a forward invariant B ⊂ A of positive Lebesgue measure so that the forward orbit of every point of B is disjoint from U. The support K of Lebesgue measure restricted to B...

Ngày tải lên: 14/02/2014, 17:20

... y)dy, Annals of Mathematics Uniform bounds for the bilinear Hilbert transforms, I By Loukas Grafakos and Xiaochun Li UNIFORM BOUNDS FOR THE BILINEAR HILBERT TRANSFORMS, I 907 and    Φ 1,k,l (·)e −2πic(ω 1,k,l )(·)   (x)   ≤ ... supported by the NSF. UNIFORM BOUNDS FOR THE BILINEAR HILBERT TRANSFORMS, I 917 Therefore, we obtain I 13  2 ≤ C2 −ηµ 2 − µ p j |I T |...

Ngày tải lên: 14/02/2014, 17:20

... proof of (2.10). Lemma 2.3. For any δ>0 there exist c<∞ and ε 0 > 0 so that for all ε ≤ ε 0 and y ≥ 0 P x 0  T (x, ε) ≥ y(log ε) 2  ≤ cε (1−δ)πy (2.20) for all x, x 0 ∈ T 2 . Proof ... ˜ε (1−10δ)a n , for some c = c(δ) < ∞, all sufficiently large n and any x ∈ T 2 . Thus, for all sufficiently large n,anyj and a>0, P x 0 (j ∈A n ) ≤ c ˜ε (1−10δ)a n .(2.27) COVER TIMES F...

Ngày tải lên: 14/02/2014, 17:20

... points P of degree less than r, for large r. For each P ∈ P n <r , the hypothesis µ P (∂U P ) = 0 lets us approximate U P by a union of cosets of an ideal I P of finite index in ˆ O P . (The details ... density we consider only f for which H f is geometrically integral, at least for n ≥ 2. 1108 BJORN POONEN Proposition 2.7. Suppose n ≥ 2.LetR be the set of f ∈ S homog for which...

Ngày tải lên: 14/02/2014, 17:20

... Grigorchuk and V. A. Kaimanovich for useful discussions. I am grateful to R. Muchnik for turning my attention to the groups G w and for discussions on the upper bounds for the growth function of G w (see Theorem ... Germ(H). Thus π H (y i+1 )=π H (y i ). Lemma 4.2. For any γ ∈ Γ Pr( lim i→∞ π h (y i )=γ) =0. Proof. Recall that Γ is finite since Germ(H) is of finite index in Germ(G)...

Ngày tải lên: 14/02/2014, 17:20

... modular forms of weight k on Γ 0 (N), holomorphic on the upper half-plane. Note that these Eisenstein series have no constant term and hence are holomorphic at the cusp i∞. We also define, for the ... (4.1)] for a statement of Meyer’s formula in the case where D is fundamental; the general case can be derived from equation (18) in §5 of [CS] for example.) It follows that Proposition...

Ngày tải lên: 16/02/2014, 05:20

... Kozlovski, M. Shishikura and S. van Strien for useful discussions, A. Avila and H. Bruin for helpful comments, and the referee for reading the manuscript carefully and for valuable suggestions. This research ... methods and do not seem to work for the case <2. In this paper, we shall prove the decay of geometry property for all critical order  ≤ 2, which includes a new proof...

Ngày tải lên: 16/02/2014, 05:20

... us to handle sequences for which h(p) is signifi- cantly larger than 1 for many primes. Therefore we will, from now on, restrict ourselves to the case when 0 ≤ h(n) ≤ 1 for all n. Suppose that ... log z) 1 In fact, for z ≥ 200. AN UNCERTAINTY PRINCIPLE FOR ARITHMETIC SEQUENCES 613 and the claim follows. For small p<101 3 , set K = [log z/(2 log p)] and observe that for k ≤ K t...

Ngày tải lên: 16/02/2014, 06:20