Đề tài " Growth of the number of simple closed geodesics on hyperbolic surfaces " docx

... π γ (X, α)=X. The hyperbolic length function descends to the function : M γ g,n → R + Annals of Mathematics Growth of the number of simple closed geodesics on hyperbolic surfaces By ... growth of s X (L), the number of simple closed geodesics of length ≤ L on a complete hyperbolic surface X of finite area. We also study the freq...

Ngày tải lên: 06/03/2014, 08:21

... called essentially non-(n, γ) -simple. Let us return to the strategy of the proof of Theorem 1.3.9. At the n-th stage of the induction over the period we consider the family of polynomial perturbations { ˜ f ε <2n } ε <2n ∈HB N <2n (  r) of ... implies that the number of periodic points is bounded by an exponential function of the period. The not...

Ngày tải lên: 29/03/2014, 07:20

... data: (i) the intervals (I k ) 0≤k≤N/n 1  , (ii) the restriction of C to the union of the I k s, (iii) the values of C outside the I k s. Let us count in each case the number of possibilities: (i) There ... as (3.1.3) or (3.1.4), we see functions on M as functions on the cotangent bundle, depending only on the position. In other words, when we consider the...

Ngày tải lên: 06/03/2014, 08:21

... respectively, the conversion of carbon, the initial carbon content in the raw mixture and the carbon remaining after the composting. Nakasaki et al. (1998a) reported that the conversion of carbon during ... carbon during the composting process could be calculated based on the ratio of carbon loss as CO 2 to the carbon contained in the DF alone. In our investiga...

Ngày tải lên: 05/09/2013, 08:40

... bounds on the number of Galois extensions of Q with bounded discriminant. In combination with the lower bound in Theorem 1.1 for the total number of extensions, this yields the fact that “most number ... precisely, EXTENSIONS OF A NUMBER FIELD 737 one may count Galois S 3 -extensions by controlling the 3-class numbers of the quadratic subextensions; this can be...

Ngày tải lên: 06/03/2014, 08:21

... both of these methods, the estimate of the number of sources is that value of  N s which minimizes the criterion. In [9] there is a more thorough discussion concerning determining the number of degrees ... Decision Theoretic Approaches The methods that we term decision theoreticapproaches all relyonthe statistical theory of hypothesis testing to determine the num...

Ngày tải lên: 16/12/2013, 04:15

... 2002) Annals of Mathematics Hausdorff dimension of the set of nonergodic directions By Yitwah Cheung Annals of Mathematics, 158 (2003), 661–678 Hausdorff dimension of the set of nonergodic ... Roth’s theorem every algebraic integer satisfies the hypothesis of Theorem 1. Some generalizations of Theorem 1 are mentioned in Section 2. For the class of Veec...

Ngày tải lên: 14/02/2014, 17:20

... 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 ... 1.(2.93) Substitution into (2.82) yields the claim in (2.80). This completes the proof of Lemma 6. This completes the proof of Proposition 4 and hence of Theorem 1. 3....

Ngày tải lên: 14/02/2014, 17:20

... the exit boundary is nontrivial. Remark 4. In Lemma 4.2 we used only that the action satisfies the weak condition (∗). For Lemma 4.3 the assumption that the action satisfies the strong condition ... follows from (3) of Proposition 1. 6. Applications to growth of groups Theorem 2. Let G act on (0, 1] by LN maps and let the action satisfy the strong condition (∗). Assume t...

Ngày tải lên: 14/02/2014, 17:20

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Ngày tải lên: 18/02/2014, 11:20