the graph minor theorem for trees
Đề tài " The local converse theorem for SO(2n+1) and applications " potx
Ngày tải lên :
22/03/2014, 15:21
... of the map follows from the local converse theorem for SO2n+1 (Theorem 1.2) The uniqueness of such a map follows from the local converse theorem for GLn (Theorem 1.1) It remains to show that the ... multiplicity-one theorem for irreducible cuspidal automorphic representations of GLn (A) ([Shl]), we see that the rigidity theorem implies the strong multiplicity-one theorem for GL(n) The rigidity theorem for ... to reduce the proof of Theorem 1.2 to the case where both σ and σ are supercuspidal (Theorem 5.1) To prove the local converse theorem for the case of supercuspidal representations (Theorem 4.1),...
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Báo cáo toán học: "The Gr¨tzsch Theorem for the hypergraph of o maximal cliques" pdf
Ngày tải lên :
07/08/2014, 06:20
... in the 4-coloring of G, and hence c uses both colors on K Therefore, c is a 2-coloring of H(G) For the skeptics of the proof of the 4-Color Theorem and since we not want to use this powerful theorem ... graph In this paper we extend the Gr¨tzsch Theorem by proving that the clique o hypergraph of every planar graph is 3-colorable (Theorem 2.6) In Section we extend Theorem 2.6 to list colorings ... observe that c is the required coloring of H(G) Planar graphs which differ the most” from triangle-free graphs contain triangles which cover all edges of the graph For these graphs we can save...
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Báo cáo toán học: "The spectral excess theorem for distance-regular graphs: a global (over)view" docx
Ngày tải lên :
07/08/2014, 21:20
... polynomials for any regular graph, using the spectrum of the graph, in an attempt to generalize the distance polynomials These othogonal polynomials will form the key component of the spectral excess theorem ... follows Now the proof of the spectral excess theorem is complete: if Ai = pi (A) for all i, then the three-term recurrence relation for the polynomials becomes the required recurrence for the adjacency ... pd−i+1 (A)], which provides the induction steps (for i = it gives the step from to because cd+1 = 0) The spectral excess theorem We are ready now for the spectral excess theorem We shall state and...
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Convergence rate in the central limit theorem for the curie weiss potts model
Ngày tải lên :
03/10/2015, 21:57
... we have for any l ∈ N E|W |l const.(l) In the following theorems, Theorem 3.4.3 is from [11], Theorem 3.4.4 is from [12], Theorem 3.4.5, Corollary 3.4.6 and Corollary 3.4.7 are from [3] Theorem ... ), and the theorem is proved , 30 Chapter Main Results In this chapter, we use the Stein’s method to bound the convergence rate in the central limit theorem for the total magnetization in the Curie-Weiss-Potts ... ]dx We now prove the central limit theorem, that is, Theorem 2.2.11 CHAPTER THE CURIE-WEISS-POTTS MODEL 16 Proof of Theorem 2.2.11: According to Lemma 2.2.13 with γ = 1/2, for each t ∈ Rq ,...
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A general form of the Second Main Theorem for hypersurfaces
Ngày tải lên :
14/10/2015, 08:23
... + Tf (r) So, we get (3.1) We now prove the theorem for the general case Denote by K the set of all K ∈ K such that K does not contain any other set in K For each K ∈ K , we choose hyperplanes ... position in V Then for every > 0, q (q − n − − )Tf (r) ≤ j=1 N (r, Dj ) dj We note that in Theorem B, the multiplicities of intersections are not truncated (all of them are taken in to the account ... where the positive integer M depends on , d, q, n, deg V This completes the proof of Theorem 1.1 References [1] G Dethloff and T V Tan and D D Thai, An extension of the CartanNochka second main theorem...
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Tài liệu Đề tài " A shape theorem for the spread of an infection " pdf
Ngày tải lên :
16/02/2014, 06:20
... t−K−2 k The estimate for Ek,4 comes from Theorem A, or rather Theorem in [KSb], which is the basis for the right-hand inclusion in Theorem A Indeed, we have, again by summing over the possible ... of the development of [KSb] for (1.1) The precise form of the shape theorem here is as follows: Theorem Consider the model described in the abstract If DA = DB , then there exists a nonrandom, ... θ(ρ) and therefore on the movement of all the other particles In the present case we can take πB = πA , which has the great advantage that the path of ρ does not depend on the paths of the other...
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Báo cáo " On the matheron theorem for topological spaces" doc
Ngày tải lên :
22/03/2014, 11:20
... n} Therefore F ∈ F Ki0 FGj1 FGjn The theorem is proved Remark The proofs of Theorem 2.1 and 2.2 are analogous as the proof of the Main theorem in [3] In [3], the authors showed that if E is a ... on the extending of Matheron theorem for topological space In Section we will show some examples about the spaces F which are unseparated or non-Hausdorff for the miss-and-hit topology On the ... Matheron theorem Theorem 2.1 If E is a separable and Hausdorff topological space, then the miss-and-hit topology on space F is separable K Proof Let A be a countable and dense subset in E For...
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Báo cáo toán học: " A note on the almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction of the normal law" pptx
Ngày tải lên :
20/06/2014, 21:20
... the other hand, by the Theorem of Schatte [3], Equation (3) fails for weight dk = The optimal weight sequence remains unknown The purpose of this article is to study and establish the ASCLT for ... also removed the condition nP(|X1 | > ηn ) ≤ c(log n)ε0 , < ε0 < in theorem 1.1 of [12] Remark 1.4 If EX < ∞, then X is in the domain of attraction of the normal law Therefore, the class of random ... completes the proof of Theorem 1.1 Competing interests The author declares that she has no competing interests Acknowledgments The author was very grateful to the referees and the Editors for their...
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Báo cáo toán học: " Weak convergence theorem for the three-step iterations of non-Lipschitzian nonself mappings in Banach spaces" pptx
Ngày tải lên :
20/06/2014, 21:20
... associate the set J(x) = {x∗ ∈ X∗ : x, x∗ = ||x||2 = ||x∗ ||2 } It follows from the Hahn-Banach theorem that J(x) ≠ ∅ for any x Î X Then the multi-valued operator J : X ↦ X* is called the normalized ... ||f - g||(h(l) + ε) Therefore ||f - g|| ≤ h(l) This completes the proof Now we can prove the weak convergence theorem of the iterative sequence (3.1) Zhu et al Fixed Point Theory and Applications ... convergence theorem for uniformly continuous nonself mapping which is asymptotically nonexpansive in the intermediate sense in uniformly convex Banach space whose dual space has the Kadec-Klee...
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Báo cáo hóa học: " Research Article The Theory of Reich’s Fixed Point Theorem for Multivalued Operators" pptx
Ngày tải lên :
21/06/2014, 11:20
... —Programul IDEI1239” for the provided financial support The authors are grateful for the reviewer s for the careful reading of the paper and for the suggestions which improved the quality of this ... and Rus introduced the concept of “theory of a metric fixed ¸ point theorem and used this theory for the case of multivalued contraction see For the singlevalued case, see The purpose of this ... and Theorem 3.2 vi we have that FT conclusion follows by Theorem 3.2 vii A∗ The T Fixed Point Theory and Applications xiv Let x ∈ FT be an arbitrary Then x ∈ T x , and thus FT ⊂ T x On the other...
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báo cáo hóa học:" Weak convergence theorem for the three-step iterations of non-Lipschitzian nonself mappings in Banach spaces" doc
Ngày tải lên :
21/06/2014, 17:20
... associate the set J(x) = {x∗ ∈ X∗ : x, x∗ = ||x||2 = ||x∗ ||2 } It follows from the Hahn-Banach theorem that J(x) ≠ ∅ for any x Î X Then the multi-valued operator J : X ↦ X* is called the normalized ... ||f - g||(h(l) + ε) Therefore ||f - g|| ≤ h(l) This completes the proof Now we can prove the weak convergence theorem of the iterative sequence (3.1) Zhu et al Fixed Point Theory and Applications ... convergence theorem for uniformly continuous nonself mapping which is asymptotically nonexpansive in the intermediate sense in uniformly convex Banach space whose dual space has the Kadec-Klee...
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Báo cáo hóa học: "THE ANOSOV THEOREM FOR INFRANILMANIFOLDS WITH AN ODD-ORDER ABELIAN HOLONOMY GROUP" doc
Ngày tải lên :
22/06/2014, 22:20
... 2 The Anosov theorem for infranilmanifolds In this article we will work on the class of infranilmanifolds After the preliminaries we will first describe a class of maps for which the Anosov theorem ... x∈F (2.22) A class of maps for which the Anosov theorem holds With Theorem 2.10 in mind, we can describe a class of maps on infranilmanifolds, for which the Anosov theorem always holds Note that ... eigenvalues So the dimension of the eigenspace of λ is and therefore the multiplicity of λ must be Suppose the lemma holds for r × r matrices with r even and r < n We then have to show that the lemma...
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Báo cáo hóa học: " THE LEFSCHETZ-HOPF THEOREM AND AXIOMS FOR THE LEFSCHETZ NUMBER" pot
Ngày tải lên :
23/06/2014, 00:20
... the characterization of the reduced Lefschetz number in Theorem 1.1 to prove the Lefschetz-Hopf theorem in a quite natural manner by showing that the fixed-point index satisfies the axioms of Theorem ... satisfies the hypotheses of the Lefschetz-Hopf theorem Thus, the homotopy and additivity properties of the fixed-point index imply that the normalization property follows from the Lefschetz-Hopf theorem ... prove the following theorem Theorem 1.3 (normalization property) If f : X → X is any map of a finite polyhedron, then L( f ) = i(X, f ,X), the fixed-point index of f on all of X The Lefschetz-Hopf theorem...
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