Đề tài "The Lyapunov exponents of generic volume-preserving and symplectic maps " pot

... keeping κ controlled. Annals of Mathematics The Lyapunov exponents of generic volume-preserving and symplectic maps By Jairo Bochi and Marcelo Viana LYAPUNOV EXPONENTS 1441 In short ... the nested rotations lemma Annals of Mathematics, 161 (2005), 1423–1485 The Lyapunov exponents of generic volume-preserving and symplectic maps By Jairo...

Ngày tải lên: 06/03/2014, 08:21

... the bootstrap assumptions and the results of Sections 6 and 7 we provide a detailed proof of the Asymptotics Theorem. ROUGH EINSTEIN METRICS 1209 6. Bootstrap assumptions and Basic Consequences Throughout ... the maximal function of ∂H(t) L ∞ x . Proof. The proof of (54) is straightforward since L(b−n)=−b ¯ k NN −L(n). Now observe that the right-hand side |b ¯ k NN +L(n)||  |...

Ngày tải lên: 16/02/2014, 05:20

... is an arc b of ∂ 4 so that a push off γ  of a ∪ b lies in Q, misses a and separates the boundary components of Q into two sets of two, say one set is ∂ 1 and ∂ 2 and the other is ∂ 3 and ∂ 4 . ... d(k)=m. Let Q be the union of the pair of pants containing k and the pair of pants that contains the adjacent pair of arcs k 1 and k 2 . Let γ be the curve that the two p...

Ngày tải lên: 16/02/2014, 06:20

... all the opens and intersections of a cover of the target space, and is therefore an equivalence itself. This completes the inductive step and the proof. 5. Proofs of Propositions 4.5 and 4.6 Throughout, ... we can understand using Propositions 4.5 and 4.6 and then studying the behavior of π on the pullback of this cover. We cover Y  by two subsets, U and L, defined by...

Ngày tải lên: 05/03/2014, 23:20

... the summation ranges over all components Z of strata of Y of dimension >sand <n ,and L k (Z; S Z f (S • i )) denotes the L-class of the closure Z of Z with coefficient system S Z f (S • i ), ... results of [Ban02]. It contains the definition of the category SD(X) of self-dual sheaves, the definition of the notion of a Lagrangian struc- ture, and some information on th...

Ngày tải lên: 06/03/2014, 08:21

... [A1], [A2] and Yuzvinsky [Y] for special values of r, s, and n. In [SS] a weaker version of the condition was proved for arbitrary fields and arbitrary values of r, s, and n. Stiefel’s proof of the ... will use the letters a and b to denote the generators of H ∗,∗ (DQ n−1 ; Z/2), a 1 and b 1 for the generators of H ∗,∗ (DQ r−1 ; Z/2), and a 2 and b 2 for the generat...

Ngày tải lên: 06/03/2014, 08:21

... class="bi x0 y0 w0 h 0" alt ="" Hypnosis 298 Use of Low Intensity Lasers 298 Use of Therapeutic Magnets 299 Section IV: The Practice of Integrated Medicine Ch apter 16 The Practice of Integrated ... Much the same sort of energy transfer is seen in the voodoo cult of Haiti and in the laying on of hands and the effect of prayer, albeit negative energy in the fir...

Ngày tải lên: 29/03/2014, 07:21

... NHỮNG PHÁT HIỆN MỚI CỦA ĐỀ TÀI CŨNG NHƯ NHỮNG HẠN CHẾ CỦA ĐỀ TÀI NÀY, TỪ ĐÓ ĐỀ XUẤT NHỮNG ĐỀ TÀI NGHIÊN CỨU MỚI ĐỂ GIẢI QUYẾT NHỮNG HẠN CHẾ NÀY ? 6.1 Những phát hiện mới của đề tài Nghiên cứu tác ... HÌNH LÝ THUYẾT CỦA ĐỀ TÀI ? Mô hình nghiên cứu của đề tài là nghiên cứu giải tích 2.1 Tóm lược và phân tích các đề tài nghiên cứu trước đây: Tác giả nghiên cứu Nội dung Vấn đề cần n...

Ngày tải lên: 06/01/2014, 14:53

... R k and R  k,j ≥ R k,j . Similarly, each r x can be replaced by any r  x ≤ r x . This will be used freely in the proof of Theorem 0.1 below. Proof of Theorem 0.1. Let x k ,g k ,R k ,R k,j and ... curvature and area of stable sectors. A stable sector in the sense of [CM3], [CM4] is a stable subset of a minimal surface given as half of a normal tubular neighborhood (in the s...

Ngày tải lên: 14/02/2014, 17:20

... C  u 2 (2.17) and the estimate (2.11), which completes the proof of Theorem 1.1. It remains to prove Proposition 2.5, which will be done at the end of Section 7. The proof involves the construction of a ... construction of a multiplier b w T , and it will occupy most of the remaining part of the paper. In the following, we let u(t) be the L 2 norm of x → u(t, x)inR n f...

Ngày tải lên: 16/02/2014, 05:20