Tài liệu Đề tài " Rigidity for real polynomials " pptx

... is repelling. Annals of Mathematics Rigidity for real polynomials By O. Kozlovski, W. Shen, and S. van Strien* RIGIDITY FOR REAL POLYNOMIALS 767 Let Γ 0 be the union of the ... 165 (2007), 749–841 Rigidity for real polynomials By O. Kozlovski, W. Shen, and S. van Strien* Abstract We prove the topological (or combinatorial) rigidity property for re...

Ngày tải lên: 16/02/2014, 06:20

... field theory for real quadratic fields. Chapter 11 of [Das1] (cf. also [Das2]) describes efficient algorithms for calculating u(α, τ) and uses these algorithms to obtain numerical evidence for Conjecture ... s}∈K × p /U. Annals of Mathematics Elliptic units for real quadratic fields By Henri Darmon and Samit Dasgupta ELLIPTIC UNITS FOR REAL QUADRATIC FIELDS 319 Thi...

Ngày tải lên: 16/02/2014, 05:20

... 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

... 591 and V. Kharlamov for a useful conversation, V. Kulikov and Sandro Manfre- dini for pointing out some nonsense, Sandro again for the nice picture, and finally Grzegorz Gromadzki for pointing out ... branching indices of y,z for f  are the same. On the other hand, the branching index of y for f  is the product of the branching index of y for f times the one of f(y) for F ....

Ngày tải lên: 14/02/2014, 16:20

... METRIC ATTRACTORS FOR SMOOTH UNIMODAL MAPS 733 Lemma 3.1. For s>0 consider the function φ s (x):= tanh(  s 2 x) tanh(  s 2 ) , which is a real- analytic diffeomorphism of the real line into itself, ... 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...

Ngày tải lên: 14/02/2014, 17:20

... said to be comfortable for S. Roughly speaking, then, a comfortably embedded submanifold is like a first- order approximation of the zero section of a vector bundle. INDEX THEOREMS FOR HOLOMORPHIC ... will be called a splitting atlas for S.Itis easy to see that for any splitting morphism σ : N S → TM| S there exists a splitting atlas U such that σ(∂ r,α )=∂/∂z r α for all r =1, m and...

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

... 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 ... with BOUNDARY BEHAVIOR FOR GROUPS OF SUBEXPONENTIAL GROWTH 1193 respect to the subgroup H. (For this definition we can consider arbitrary H, not necessarily as in Propos...

Ngày tải lên: 14/02/2014, 17:20

... of the inductive formula for Schubert polynomials appearing in Section 1.3 of [BJS93]. Part 2. Applications of the Gr¨obner geometry theorems 2.1. Positive formulae for Schubert polynomials The ... provides a straightforward geometric explanation for the naturality of Schubert and Grothendieck polynomials. More precisely, our context automatically makes them well-defined as (Laurent...

Ngày tải lên: 16/02/2014, 05:20