Orthogonal Decompositions And Functional Limit Theorems For Random Graph Statistics
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Orthogonal Decompositions And Functional Limit Theorems For Random Graph Statistics
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Author : Svante Janson
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Orthogonal Decompositions And Functional Limit Theorems For Random Graph Statistics written by Svante Janson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
This book develops a method to obtain limit theorems for various functionals of random graphs. The method is based on a certain orthogonal decomposition. Janson's results include limit theorems for the two standard random graph models, $G_{n,p}$ and $G_{n,m}$, as well as functional limit theorems for the evolution of a random graph and results on the maximum of a function during the evolution. Janson obtains both normal and nonnormal limits, and the method provides an explanation for the appearance of nonnormal limits. Applications to subgraph counts and to vertex degrees are presented as examples.
Mathematics And Computer Science Iii
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Author : Michael Drmota
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Mathematics And Computer Science Iii written by Michael Drmota and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
Mathematics and Computer Science III contains invited and contributed papers on combinatorics, random graphs and networks, algorithms analysis and trees, branching processes, constituting the Proceedings of the Third International Colloquium on Mathematics and Computer Science, held in Vienna in September 2004. It addresses a large public in applied mathematics, discrete mathematics and computer science, including researchers, teachers, graduate students and engineers.
Gaussian Hilbert Spaces
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Author : Svante Janson
language : en
Publisher: Cambridge University Press
Release Date : 1997-06-12
Gaussian Hilbert Spaces written by Svante Janson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-12 with Mathematics categories.
This book treats the very special and fundamental mathematical properties that hold for a family of Gaussian (or normal) random variables. Such random variables have many applications in probability theory, other parts of mathematics, statistics and theoretical physics. The emphasis throughout this book is on the mathematical structures common to all these applications. This will be an excellent resource for all researchers whose work involves random variables.
Christoffel Functions And Orthogonal Polynomials For Exponential Weights On 1 1
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Author : A. L. Levin
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Christoffel Functions And Orthogonal Polynomials For Exponential Weights On 1 1 written by A. L. Levin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Bounds for orthogonal polynomials which hold on the whole interval of orthogonality are crucial to investigating mean convergence of orthogonal expansions, weighted approximation theory, and the structure of weighted spaces. This book focuses on a method of obtaining such bounds for orthogonal polynomials (and their Christoffel functions) associated with weights on $[-1,1]$. Levin and Lubinsky obtain such bounds for weights that vanish strongly at 1 and $-1$. They also present uniform estimates of spacing of zeros of orthogonal polynomials and applications to weighted approximation theory.
Degenerate Principal Series For Symplectic And Odd Orthogonal Groups
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Author : Chris Jantzen
language : en
Publisher: American Mathematical Soc.
Release Date : 1996-01-01
Degenerate Principal Series For Symplectic And Odd Orthogonal Groups written by Chris Jantzen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Mathematics categories.
This memoir studies reducibility in a certain class of induced representations for and , where is -adic. In particular, it is concerned with representations obtained by inducing a one-dimensional representation from a maximal parabolic subgroup (i.e., degenerate principal series representations). Using the Jacquet module techniques of Tadić, the reducibility points for such representations are determined. When reducible, the composition series is described, giving Langlands data and Jacquet modules for the irreducible composition factors.
The Index Theorem For Minimal Surfaces Of Higher Genus
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Author : Friedrich Tomi
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
The Index Theorem For Minimal Surfaces Of Higher Genus written by Friedrich Tomi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Index theorems categories.
In this paper we formulate and prove an index theorem for minimal surfaces of higher topological type spanning one boundary contour. Our techniques carry over to surfaces with several boundary contours as well as to unoriented surfaces.
On The Classification Of C Algebras Of Real Rank Zero Inductive Limits Of Matrix Algebras Over Non Hausdorff Graphs
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Author : Hongbing Su
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
On The Classification Of C Algebras Of Real Rank Zero Inductive Limits Of Matrix Algebras Over Non Hausdorff Graphs written by Hongbing Su and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
This work shows that $K$-theoretic data is a complete invariant for certain inductive limit $C^*$-algebras. $C^*$-algebras of this kind are useful in studying group actions. Su gives a $K$-theoretic classification of the real rank zero $C^*$-algebras that can be expressed as inductive limits of finite direct sums of matrix algebras over finite (possibly non-Hausdorff) graphs or Hausdorff one-dimensional spaces defined as inverse limits of finite graphs. In addition, Su establishes a characterization for an inductive limit of finite direct sums of matrix algebras over finite (possibly non-Hausdorff) graphs to be real rank zero.
Stable Networks And Product Graphs
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Author : Tomás Feder
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Stable Networks And Product Graphs written by Tomás Feder and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
The structural and algorithmic study of stability in nonexpansive networks is based on a representation of the possible assignments of Boolean values for a network as vertices in a Boolean hypercube under the associated Hamming metric. This global view takes advantage of the median properties of the hypercube, and extends to metric networks, where individual values are now chosen from the finite metric spaces and combined by means of an additive product operation. The relationship between products of metric spaces and products of graphs then establishes a connection between isometric representation in graphs and nonexpansiveness in metric networks.
Degree 16 Standard L Function Of Gsp 2 Xgsp 2
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Author : Dihua Jiang
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Degree 16 Standard L Function Of Gsp 2 Xgsp 2 written by Dihua Jiang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
Automorphic L-functions, introduced by Robert Langlands in the 1960s, are natural extensions of such classical L-functions as the Riemann zeta function, Hecke L-functions, etc. They form an important part of the Langlands Program, which seeks to establish connections among number theory, representation theory, and geometry. This book offers, via the Rankin-Selberg method, a thorough and comprehensive examination of the degree 16 standard L-function of the product of two rank two symplectic similitude groups, which includes the study of the global integral of Rankin-Selberg type and local integrals, analytic properties of certain Eisenstein series of symplectic groups, and the relevant residue representations.
Wavelet Methods For Pointwise Regularity And Local Oscillations Of Functions
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Author : Stéphane Jaffard
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Wavelet Methods For Pointwise Regularity And Local Oscillations Of Functions written by Stéphane Jaffard and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
Currently, new trends in mathematics are emerging from the fruitful interaction between signal processing, image processing, and classical analysis. One example is given by ``wavelets'', which incorporate both the know-how of the Calderon-Zygmund school and the efficiency of some fast algorithms developed in signal processing (quadrature mirror filters and pyramidal algorithms.) A second example is ``multi-fractal analysis''. The initial motivation was the study of fully developed turbulence and the introduction by Frisch and Parisi of the multi-fractal spectrum. Multi-fractal analysis provides a deeper insight into many classical functions in mathematics. A third example--``chirps''--is studied in this book. Chirps are used in modern radar or sonar technology. Once given a precise mathematical definition, chirps constitute a powerful tool in classical analysis. In this book, wavelet analysis is related to the 2-microlocal spaces discovered by J. M. Bony. The authors then prove that a wavelet based multi-fractal analysis leads to a remarkable improvement of Sobolev embedding theorem. In addition, they show that chirps were hidden in a celebrated Riemann series. Features: Provides the reader with some basic training in new lines of research. Clarifies the relationship between pointwise behavior and size properties of wavelet coefficents.