... = i≥1 U i , and therefore v ∈ P o . This completes the proof of Lemma A.1. A.3. The completion of the proof Let H beaseparable Hilbert space. Denote by L(H) the Banach algebra of bounded linear operators ... q)=1} area(Σ) . R 2R 2/Q α Figure 2. The parallelogram Σ(α, R, Q). The proof of Theorem 2 relies on the following fact: Theorem 3. Let Spec(α) be the sequence of heights formed by the convergents of α. There exist constants ... lowerbound on the Hausdorff dimension of E(λ)weneed to show there are lots of children and wide gaps between them. The number of children is exactly 2L δ / log L times the arithmetic density of the parallelogram Σ(α,...
Ngày tải lên: 14/02/2014, 17:20
Tài liệu Đề tài " Rough solutions of the Einstein-vacuum equations " docx
... a deeper analysis of the conormal properties of the null structure equations. Our work is divided in three parts. In this paper we give all the details in the proof of the Main Theorem with the ... the right-hand side of (14) vanishes identically. We make use of both the vanishing of the Ricci curvature of g and the wave coordinate condition (2). The other impor- tant new features are the ... be integrated along the null geodesic flow generated by L, the only terms which depend on the second derivatives of H appear in H αβ ∂ α ∂ β H and can therefore be eliminated with the help of the equations...
Ngày tải lên: 16/02/2014, 05:20
Tài liệu Đề tài " Asymptotic faithfulness of the quantum SU(n) representations of the mapping class groups " pdf
... ρ n,d k throughout the rest of the paper. Our key idea in the proof of Theorem 1 is the use of the endomorphism bundle End(V k ) and the construction of sections of this bundle via Toeplitz operators ... generator of the image of the integer cohomology Annals of Mathematics Asymptotic faithfulness of the quantum SU(n) representations of the mapping class groups By Jørgen Ellegaard Andersen ... Teichm¨uller space ˜ T p of Σ −p is also included in M, hence we get that φ acts by the identity on ˜ T p . But then the statement about φ follows by classical theory of the action of Γ on ˜ T p . Institut...
Ngày tải lên: 16/02/2014, 05:20
Tài liệu Đề tài " Logarithmic singularity of the Szeg¨o kernel and a global invariant of strictly pseudoconvex domains " docx
... formulate the Bergman and Szeg¨o kernels as microfunctions. We here include a quick review of the theory of microfunctions in order for the readers to grasp the arguments of this paper even if they ... ψ θ | ∂Ω is independent of the choice of ρ and is shown to gives a local invariant of the pseudo Hermitian structure θ. Theorem 1. (i) The integral L(∂Ω,θ)= ∂Ω ψ θ θ ∧(dθ) n−1 is independent of the choice ... that the invariant is un- changed under perturbations of the domain (Theorem 1). We also show that the same invariant appears as the coefficient of the logarithmic term of the volume expansion of the...
Ngày tải lên: 16/02/2014, 05:20
Tài liệu Bartholomew de Las Casas; his life, apostolate, and writings doc
... finding them. The descendants of the original founder of the family had multiplied and, by the close of the fifteenth century, were divided into many prolific branches, hence the difficulty of identifying ... ARRIVAL OF LAS CASAS. CONDITION OF THE COLONISTS The arrival of Don Nicholas de Ovando's fleet at Hispaniola was an event of the greatest importance to the colony. The first news that greeted the ... OFFERED TO LAS CASAS. HIS CONSECRATION. HIS DEPARTURE CHAPTER XV. 26 CHAPTER IV. - THE DOMINICANS IN HISPANIOLA. THE ORDINATION OF LAS CASAS. THE CONQUEST OF CUBA. In the month of September of...
Ngày tải lên: 18/02/2014, 06:20
Đề tài " Numerical characterization of the K¨ahler cone of a compact K¨ahler manifold " doc
... components of the open set P = {det(α) > 0} of hermitian forms of positive determinant (the other components, of course, are the sets of forms of signature (p, q), p + q = n, with q even). One of the ... consider the pseudo-effective cone E ⊂ H 1,1 ∂ ∂ (X, R), de ned as the set of ∂∂-cohomology classes of closed positive (1, 1)-currents. By the weak compactness of bounded sets in the space of currents, ... other words, the dual of the nef cone K is the closed convex cone generated by cohomology classes of currents of the form [Y ] ∧ ω p−1 in H n−1,n−1 (X, R), where Y runs over the collection of...
Ngày tải lên: 05/03/2014, 23:20
Đề tài " A resolution of the K(2)-local sphere at the prime 3 " pot
Ngày tải lên: 22/03/2014, 20:20
Tài liệu Đề tài " On the volume of the intersection of two Wiener sausages " ppt
... is the factor in the second term on the right-hand side of the analogue of (2.86). The integral on the right-hand side of (3.9) is of order 1/2 log(1/). Hence we get C 5/6 log(1/) for the ... 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 are ... 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. Proof of Theorem 2 In this section we indicate how the arguments...
Ngày tải lên: 14/02/2014, 17:20
Tài liệu Đề tài " Geometry of the uniform spanning forest: Transitions in dimensions 4, 8, 12, . . . " pptx
... this is not the same as the tail triviality of the relation U. Indeed, if the underlying graph G is a regular tree of degree greater than 2, then the relation U determined by the (wired) USF in G ... occurrence of S, then we should also contract the edges in K 1 and delete the edges in K 2 . Therefore, conditionally on Υ R and the occurrence of S, the path γ R has the distribution of the loop-erasure ... be the USF on Z d , and denote by Γ D the event that there are no oriented edges in F from D c to D. Then the distribution of F ∩ D c conditioned on Γ D , is the same as the distribution of the...
Ngày tải lên: 14/02/2014, 17:20
Tài liệu Đề tài " Statistical properties of unimodal maps: the quadratic family " pptx
... Sketch of the proof of the phase-parameter relation The proof of the phase-parameter relation uses ideas from complex anal- ysis. We will provide a sketch of the proof assuming familiarity with the ... description of the long term behavior of a typical system. For instance, the de nition of physical measure is related to the validity of the Law of Large Numbers. Are other theorems still valid, like the ... regularity of Ξ i for the spe- cial class of simple maps f: one of the good properties of the class of simple maps is better control of the phase-parameter relation. Even for simple maps, however, the...
Ngày tải lên: 16/02/2014, 05:20
Tài liệu Đề tài " The resolution of the Nirenberg-Treves conjecture " docx
... gradient of the imagi- nary part is nonvanishing, so that the zeroes form a smooth submanifold. The estimate uses a new type of weight, which measures the changes of the distance to the zeroes of the ... simplifica- tions of the proof. 2. The multiplier estimate In this section we shall microlocalize and reduce the proof of Theorem 1.1 to the semiclassical multiplier estimate of Proposition 2.5 ... imaginary part along the bicharacteristics of the real part between the minima of the curvature of the zeroes. By using condition (Ψ) and the weight, we can construct a multiplier giving the estimate. 1....
Ngày tải lên: 16/02/2014, 05:20
Tài liệu Báo cáo khoa học: Control analysis as a tool to understand the formation of the las operon in Lactococcus lactis doc
... show that the data fit well with the indi- vidual determination of flux control coefficients by PFK, PK and LDH. The role of the las operon is dis- cussed on the basis of the distribution of flux control for ... analysis of the las operon been shown to take place at the transcriptional level [15]. Deletion of the entire pyk gene from the las operon resulted in a slight disturbance in the relative levels of ... analysis of the las operon FEBS Journal 272 (2005) 2292–2303 ª 2005 FEBS 2293 minute. The relative values of simultaneous modulation of the three las enzymes are calculated as the average of the three...
Ngày tải lên: 19/02/2014, 17:20
Đề tài " Norm preserving extensions of holomorphic functions from subvarieties of the bidisk " potx
... submitted, Pascal Thomas devised an elegant func- tion theoretic proof of Theorem 1.19. We include his proof in an appendix at the end of the paper. 292 JIM AGLER AND JOHN E. M C CARTHY De nition 1.11. ... commence the proof of Theorem 1.20 from the introduction. Accordingly, fix a nonempty relatively polynomially convex subset V of 2 .IfV has one of the forms (i)–(iv) of Theorem 1.20 then V is ... function theory [13], but in the model theory for Hilbert space contractions [12] and in the mathematical theory of control [15]. Now, let us consider the associated extremal problem on the bidisk....
Ngày tải lên: 05/03/2014, 23:20
Đề tài " A stable trace formula III. Proof of the main theorems" pptx
... formula. In the second paper [II], we established a key reduction in the proof of one of the global theorems. In this paper, we shall complete the proof of the theorems. We shall combine the global ... formulas for endoscopic groups. Various reductions of the proof have been carried out in other papers, by methods that are gen- erally independent of the trace formula. The rest of the proof will ... M = G, there is nothing to prove. The assertions of the theorem in this case follow immediately from the de nitions in [I, §6]. In the case of archimedean F ,weshall prove the general theorem...
Ngày tải lên: 05/03/2014, 23:20
Đề tài " Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations " doc
... Formulation 1 of predictability seems unnatural from the point of view of both physics and the theory of partial differential equations. The blow-up of the curvature or even of the C 1 norm of the metric ... relatively high, the other for relatively low regularity, and discuss the status of each in the context of the initial value problem of this paper and in the light of the results of Sections 6 and ... turn implies that the above constant is independent of the radius of the spheres. Since the initial data described in the next section will satisfy (8) F AB =0, by integration of (7) it follows...
Ngày tải lên: 05/03/2014, 23:20