Báo cáo toán học: "AC functions on the circle and spectral families" ppsx
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
... note on the almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction of the normal lawQunying Wu1,21College of Science, Guilin University of ... sequence of independent and identically distributed random variables in the domain of attraction of a normal distribution. A universal result in almost sure limit theorem for the self-normalized partial ... establish the ASCLT for self-normalized partial sums of random variables in the domain of attraction of the normal law, we will show that the ASCLT holds under a fairly general growthcondition on dk=...
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Báo cáo toán học: "A note on the space of pseudodifferential projections with the same principal symbol " pptx
... class="bi x0 y1 w2 h 2" alt ="" ...
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Báo cáo toán học: "Some Results on the Properties D3 (f ) and D4 (f )" ppsx
... ∈D4 (f) then the sequence splits.Proof. Since E ∈ D4 (f) andLf(α, ) ∈ D3 (f) (see Proposition 2.11 in [1 ]) then (E,Lf(α, )) ∈ S (see Proposition 2.9 in [1 ]). Then by Lemma 1.7 in [1]there ... ν( 2) = max((k, j),m( 2)) . Next we apply ( 4) to k =2,j = ν( 2) and chooseν( 3) = max((k, j),m( 3)) . Continuing this way and by putting ank= anν(k)we get the followingxi,n,k an,k( 5) and 2an,kUk⊂ ... has D3 (f) property then (E,F) ∈ S.From now on, to be brief, whenever E has D3 (f) property (resp. D4 (f) ) we write E ∈ D3 (f) (resp.E ∈ D4 (f) ). 3. Some Auxiliary Results Proposition 3.1....
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Báo cáo toán học: "Some Results on the Relation Between Pluripolarity of Graphs and Holomorphicity" ppt
... type of Shcherbina on the relation between pluriporlarity of graphs and holomorphicity of complex-valued functionsdefined on a domain in Cn. In particular we establish the relation between the ... of graphs and holomorphicity of complex-valued functions. In particular,we investigate the relation between the pluripolarity of graphs and the holomorphicity of Hartogs type and of Forelli ... Journal of Mathematics 34:3 (2006) 275–284Some Results on the Relation Between Pluripolarity of Graphs and HolomorphicityLe Mau Hai and Phung Van ManhDeparment of Mathematics, Hanoi University of...
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Báo cáo toán học: "A Remark on the Dirichlet Problem" pdf
... vanishes on pluripolar sets. The function U (μ, h) plays a crucial role in solving the Dirichlet problem.3. The Comparison Principle forEp+ BalocIn order to prove the main theorem, in ... Pluripotential Theory, Oxford, 1990.13. Y. Xing, Complex Monge-Ampere measures of pluriharmonic functions withbounded values near the boundary, Cand. J. Math. 52 (2000) 1085–1100. A Remark o n the Dirichlet ... [5]. The key element in the proof of our main theorem is a comparison principle(Theorem 3.1), which is an extension of Lemma 4.4, Theorem 4.5 in [5].2. PreliminariesIn this section we recall some...
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Báo cáo toán học: "Threshold Functions for the Bipartite Tur´n Property a" potx
... =0|z=n2p)≤P(X=0|z≤n2p)≤3P(X=0)→0by the theorem, where the last inequality above follows due to the observation thatP(A|B) ≤ P(A)/P(B) and the fact that the central limit theorem [or the approxi-mate and ... if the exact form of (7) is used for , then = o(1)i à2/ i t = o(n1/5), so that even the extended Janson inequality will not lead toan improvement in the results of [9]. We need, therefore, ... = o(n1/3); in the last two lines of the above calculation, the notation f g means thatf ≥ Kg for some positive constant K. This proves the theorem; as in [9], the use of the second moment...
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Báo cáo toán học: "A Note on the Symmetric Powers of the Standard Representation of Sn" ppt
... the reflection representation of a finite Coxetergroup. This is essentially what we are looking at. (The defining representation of Snconsists of the direct sum of the reflection representation ... have:Proposition 1.2. dim Fn= D(n).Proof. Consider the table of the characters χN; we are interested in the dimension of the row-span of this table. Since the dimension of the row-span of a matrix ... 2000AbstractIn this paper, we prove that the dimension of the space spanned by the characters of the symmetric powers of the standard n-dimensional representa-tion of Snis asymptotic to n2/2. This...
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Báo cáo toán học: "HARMONIC FUNCTIONS ON MULTIPLICATIVE GRAPHS AND INTERPOLATION POLYNOMIALS" docx
... harmonic functions on certaingraded graphs: the Young lattice and its generalizations. Such functions first emergedin harmonic analysis on the infinite symmetric group. Our method relies on multi-variate ... this section, we deal with an abstract graph G satisfying certain conditionslisted below. In the next sections, concrete examples of G will be considered.Our assumptions and conventions concerning ... applications.Concrete examples of nonextreme functions ϕ first emerged in [KOV] in connec-tion with a problem of harmonic analysis on the infinite symmetric group S(∞).These functions, denoted...
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Báo cáo toán học: "A note on the non-colorability threshold of a random graph" pot
... sharp estimates obtained by Kamath et al. of the probability that no bin is empty after the random placement of the ballsand exploiting the relationship between the placement of balls and the rigid ... A note on the non-colorability threshold of a random graphAlexis C. Kaporis, Lefteris M. Kirousis, and Yannis C. StamatiouUniversity of PatrasDepartment of Computer Engineering and InformaticsRio ... special colorings that satisfy a maximality condition that, however, is a weaker form of maximality than the oneconsidered in [10]. This has as an effect a smaller right-hand side in (1) that resultsin...
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Báo cáo toán học: "A note on the number of (k, )-sum-free sets" potx
... is (k, )-sum-free for k, ∈ N, k>,ifthereare no solutions to the equation x1+ ···+ xk= y1+ ···+ yin A. Denoteby SFnk, the number of (k, )-sum-free subsets of [1,n]. Since the ... ρ). The main result of this note says that if (k − )/ is small in terms of ρ, then the number of (k, )-sum-free subsets of [1,n]isequalto(ϕ(ρ)+ϕr(ρ)+o(1))2n/ρ,where ϕr(x) denotes the ... com-ments. Due to their suggestions we were able to prove the main result of the note in its present sharp form. the electronic journal of combinatorics 7 (2000), #R30 2odd numbers is (2, 1)-sum-free...
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Báo cáo toán học: "A Note on the Asymptotic Behavior of the Heights in b-Tries for b Large" ppt
... with b fixed, for < /b> various ranges of < /b> k. For < /b> purposes of< /b> comparison, we repeat these results below.Theorem 1 The < /b> distribution of < /b> the < /b> height of < /b> b- tries < /b> has the < /b> following asymptotic < /b> expan-sions for < /b> ... u − 1=O (b −1/2). We thus set u =1+x/√ b and obtainI =e b b b+ 1 b! B −√ b exp b log1+x√ b −x√ b dx√ b (3.2)= b b√be b b! B −∞e−x2/21+x33√ b +1 b −x44+x618+ ... =e b b b+ 1 b! B −√ b exp b log1+x√ b −x√ b dx√ b (3.2)= b b√be b b! B −∞e−x2/21+x33√ b +1 b −x44+x618+ O (b −3/2)dx.Evaluating explicitly the < /b> integrals in < /b> (3.2) and using Stirling’s formula in < /b> the < /b> form b! =√2πbb b e b (1 + (1 2b) −1+ O (b −2)), we obtain part (iii) of < /b> the < /b> Lemma.We...
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Báo cáo toán học: " A Note on the Asymptotics and Computational Complexity of Graph Distinguishability" docx
... Noga Alon and Joel H. Spencer. The Probabilistic Method. John Wiley & Sons,Inc., 1992.[3] L´aszl´o Babai and Shlomo Moran. Arthur-merlin games: a randomized proofsystem, and a hierarchy of ... introduction.One naturally wonders at the relationship of Dist to more familiar classes such asNP and coNP. In this direction, applying the machinery of [6], we can argue that it isunlikely that ... a random coin and only modest (polynomial-time bounded) computingpower and Merlin, who is computationally unbounded. Both Arthur and Merlin aresupplied with a word x, and the goal of the game...
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Báo cáo toán học: "A character on the quasi-symmetric functions coming from multiple zeta values" doc
... is given by the monomial quasi-symmetric functions, which are indexed by compositions (ordered partitions). The monomial quasi-symmetric function MIcorresponding to the composition I = (i1, ... homomorphism ζ from the algebra of quasi-symmetric functions to the reals which involves the Euler constant and multiple zeta values. Besides advanc-ing the study of multiple zeta values, the homomorphism ... compute ζ on elementary and complete symmetric functions bycomputing ζ+and ζ−separately. Next we consider the values of the three characters on the monomial symmetric functions mλ. While there...
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Báo cáo toán học: "A Note on the First Occurrence of Strings" ppsx
... bit of one string is the complement bit of the corresponding bit of the otherstring. In this note, we further study the property of complement strings for three-persongames. We prove that if the ... isclearly the complement string of σ2= 11 . . . 10. the electronic journal of combinatorics 17 (2010), #N5 2 A Note on the First Occurrence of StringsYing-Chao HungDepartment of StatisticsNational ... choosing the pair of strings 11 . . . 10and 00 . . . 01. We call these two strings “complement strings”, since each bit of one string is the complement bit of the corresponding bit of the other...
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