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標(biāo)題: Titlebook: Large Random Matrices: Lectures on Macroscopic Asymptotics; école d‘été de Proba Alice Guionnet Book 2009 Springer-Verlag Berlin Heidelberg [打印本頁(yè)]

作者: AMUSE    時(shí)間: 2025-3-21 16:45
書(shū)目名稱Large Random Matrices: Lectures on Macroscopic Asymptotics影響因子(影響力)




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作者: 搖晃    時(shí)間: 2025-3-21 23:53

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作者: 案發(fā)地點(diǎn)    時(shí)間: 2025-3-22 11:18
Alice Guionnetd the serum recovered by the routine procedures was maintained at -20°C in the laboratory until its use..In the slaughterhouse these killed animals were studied in order to determine the presence of hydatid cysts, their localization, their fertility and viability, and the presence of some other para
作者: 左右連貫    時(shí)間: 2025-3-22 12:53
Alice GuionnetJane Caplan has held up the chaos of the Nazi administration to be one of the few absolute truths known about the Third Reich.. Yet debate about the significance of this is far from finished. For example, Caplan has asked whether the civil service was to blame for or a victim of the Hitler State’s t
作者: liaison    時(shí)間: 2025-3-22 17:15
Alice GuionnetJane Caplan has held up the chaos of the Nazi administration to be one of the few absolute truths known about the Third Reich.. Yet debate about the significance of this is far from finished. For example, Caplan has asked whether the civil service was to blame for or a victim of the Hitler State’s t
作者: 生存環(huán)境    時(shí)間: 2025-3-22 22:34

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作者: MOAN    時(shí)間: 2025-3-23 16:56
Alice Guionnet political and economic context. Both the Camp David peace accord of autumn 1978 between Egypt and Israel, negotiated with the help of President Carter, and the ousting of the regime of the Shah of Iran by the followers of Ayatollah Khomeini triggered a second wave of increases in oil prices. Questi
作者: AVERT    時(shí)間: 2025-3-23 19:14
political and economic context. Both the Camp David peace accord of autumn 1978 between Egypt and Israel, negotiated with the help of President Carter, and the ousting of the regime of the Shah of Iran by the followers of Ayatollah Khomeini triggered a second wave of increases in oil prices. Questi
作者: Sedative    時(shí)間: 2025-3-23 23:40

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作者: Coronary    時(shí)間: 2025-3-24 18:30
Wigner’s theorem. Actually, Catalan numbers count many other combinatorial objects. In a first part, we shall see that they also enumerate non-crossing partitions as well as Dick paths, a fact which we shall use later. As a warm-up to matrix models, we will also state the bijection with planar maps with one star. T
作者: CRAMP    時(shí)間: 2025-3-24 22:50

作者: 不透氣    時(shí)間: 2025-3-24 23:27
Words in several independent Wigner matrices independent entries . above the diagonal that are centered and with variance one. Moreover, the . are independent. We shall generalize Theorem 3.3 to the case where one considers words in several matrices, that is show that . converges for all choices of . and give a combinatorial interpretation of
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作者: 滔滔不絕地講    時(shí)間: 2025-3-25 13:07
Concentration inequalities for random matricesf random matrices. To this end, we shall first study the regularity of the eigenvalues of matrices as a function of their entries (since the idea will be to apply concentration inequalities to the entries of the random matrices and then see the eigenvalues as nice functions of these entries).
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作者: 手勢(shì)    時(shí)間: 2025-3-26 02:55
Large deviations for the law of the spectral measure of Gaussian Wigner’s matricesumber ?. Here, ?(?) = ?.(?. ? ?. )..When .(x) = 4.?x., we have seen in Lemma IV that . is the law of the eigenvalues of an . ×. GOE (resp. GUE, resp GSE) matrix when ? = 1 (resp. ? = 2, resp. ? = 4). The case ? = 4 corresponds to another matrix ensemble, namely the GSE. In view of these remarks and
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作者: FELON    時(shí)間: 2025-3-26 17:09
Maps and Gaussian calculusWe start this chapter by introducing non-commutative polynomials and their relations with special vertices called stars. We then relate the enumeration of the maps buildt upon such vertices with the formal expansion of Gaussian matrix integrals.
作者: lactic    時(shí)間: 2025-3-27 00:58
https://doi.org/10.1007/978-3-540-69897-5Eigenvalue; Graph; Matrix; Matrix Theory; Measure; Probability theory; algebra; combinatorics
作者: probate    時(shí)間: 2025-3-27 03:55
978-3-540-69896-8Springer-Verlag Berlin Heidelberg 2009
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Book 2009 asymptotic distribution of matrices, which is naturally defined in the context of free probability and operator algebra..The material of this volume is based on a series of nine lectures given at the Saint-Flour Probability Summer School 2006. Lectures were also given by Maury Bramson and Steffen Lauritzen..
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作者: Hyperalgesia    時(shí)間: 2025-3-29 18:14
Generalizationsequality. In this section, we keep the notations of the previous section. Let us recall that a probability measure ? on R. satisfies Poincaré’s inequality with coefficient m > 0 iff for any test function .
作者: nurture    時(shí)間: 2025-3-29 21:11
Large deviations for the law of the spectral measure of Gaussian Wigner’s matricesother applications discussed in Part III, we consider in this section the slightly more general model with a potential V . We emphasize, however, that the distribution (10.1) precludes us from considering random matrices with independent non-Gaussian entries.
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First-order expansionson equation. The limit points of . will therefore satisfy this equation. We will then show that this equation has a unique solution in some small range of the parameters. As a consequence, . will converge to this unique solution. Showing that an appropriate generating function of maps also satisfie
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