Đề tài " Duality of metric entropy " potx

... 2003) Annals of Mathematics Duality of metric entropy By S. Artstein, V. Milman, and S. J. Szarek Annals of Mathematics, 159 (2004), 1313–1328 Duality of metric entropy By S. ... deviations of stable processes via metric entropy, J. Theor. Probab. 17 (2004), 261–284. [MS1] V. D. Milman and S. J. Szarek, A geometric lemma and duality of entropy nu...

Ngày tải lên: 14/03/2014, 22:20

... clearly unaffected by the removal of D from Z d . 5. Proofs of main results Proof of Theorem 1.1. Denote m =  d−1 4 . By applying Corollary 3.4 to m + 1 independent copies of the USF relation, and invoking ... allow for future applications. The bulk of the paper is devoted to the proof of the upper bound on max N(x, y) in (1.1). We now present an overview of this proof. Let U (...

Ngày tải lên: 14/02/2014, 17:20

... classification of Q-systems up to equivalence when a system of endomorphisms is given and ρ is a direct sum of endomorphisms in the system. 2.5. Classification of local extensions of the SU(2) k net. ... desired. Remark 2.5. The proof of uniqueness for the E 8 case in [41, Sec. 6] uses vertex operator algebras. Izumi has recently given a direct proof of uniquenss of the Q-system...

Ngày tải lên: 14/02/2014, 17:20

... make use of this fact in the proof of Lemma 4.1. 4. Proof of the Main Lemma For any n ≥ n 0 , let k be such that c s n ∈ I m(k) −I m(k+1) , and let b n be an endpoint of I m(k+1)−1 . Recall that A n = |b n |  −|c s n+1 |  |b n |  −|c s n |  ,B n =  |c s n | |c s n+1 |  /2 . The ... an alternative proof of this result, using the method of “asymptotically conformal extension”...

Ngày tải lên: 16/02/2014, 05:20

... the action of SL 2 (R)uponit. Geometry of holomorphic 1-forms. Let ω be a holomorphic 1-form on a compact Riemann surface X of genus g. The g-dimensional vector space of all DYNAMICS OF SL 2 ( R ) ... described as the foliation of X by parallel geodesics of constant slope ∞. Similarly, F Re(x+iy)ω gives the foliation of X by geodesics of slope x/y. The spine. The union of...

Ngày tải lên: 16/02/2014, 06:20

... The sheaf π ∗ (D  X ) T,η of sec- tions of π ∗ (D  X ) which transform by the character η under the action of T carries the structure of such a module. 3. Localization of g-modules to D-modules ... such a category). This property of D b (mod c λ (  D)) will be derived from the triviality of the canonical class of  g ∗ . Remark 3. One can give another proof of Theorem 3.2...

Ngày tải lên: 16/02/2014, 06:20

... Ca dao đề tài gia đình( 21) 1. Chồng già vợ trẻ là xinh Vợ già chồng trẻ như hình chị em 2. Chồng già

Ngày tải lên: 24/02/2014, 23:20

... tiêu đề ra, con người đã không ngừng khai thác và sử dụng quá mức các nguồn tài nguyên dẫn đến nguy cơ cạn kiệt nguồn tài nguyên này trong tương lai gần. Bản chất của sự cạn kiệt các nguồn tài ... http://wedo.com.vn/Y-Tuong-bai354.html 9. http://www.vuonnhaxinh.com/detail-news.aspx?id=28 18 BÀI TIỂU LUẬN Đề Tài : Nhà Ở Sinh Thái Người Thực Hiện : Phạm Văn Thương _k20 động vật...

Ngày tải lên: 05/03/2014, 15:21

... OF ANTICYCLOTOMIC L-FUNCTIONS 783 and a compatible action of G(L r, a )onΓ(E a , L r, a ). It is then clear that the set of points of finite order of G(L r, a ) over O is the same as the set of ... the first part of the proof. We assume now that all prime divisors of d are inert or ramified in K. Let S be the set of prime divisors of dD, and assume we are given a partition o...

Ngày tải lên: 06/03/2014, 08:21

... exactly 2 t h K of them (t = the number of primes dividing N , h K = class number of K), that 910 KARTIK PRASANNA split up into 2 t conjugacy classes under the action of the class group of K. (See ... E i i.e. a generator of the rank−1 Z-module H 0 (E i , Ω 1 ) where E i denotes the Neron model of E i over spec Z.IfA 2 is the INTEGRALITY OF A RATIO OF PETERSSON NORMS 911 ker...

Ngày tải lên: 06/03/2014, 08:21