Moderate Deviations for the Range of Planar Random Walks

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Publisher : American Mathematical Soc.
ISBN 13 : 0821842870
Total Pages : 98 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Moderate Deviations for the Range of Planar Random Walks by : Richard F. Bass

Download or read book Moderate Deviations for the Range of Planar Random Walks written by Richard F. Bass and published by American Mathematical Soc.. This book was released on 2009-03-06 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given a symmetric random walk in ${\mathbb Z}^2$ with finite second moments, let $R_n$ be the range of the random walk up to time $n$. The authors study moderate deviations for $R_n -{\mathbb E}R_n$ and ${\mathbb E}R_n -R_n$. They also derive the corresponding laws of the iterated logarithm.

Moderate Deviations for the Range of Planar Random Walks

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Publisher :
ISBN 13 : 9781470405359
Total Pages : 82 pages
Book Rating : 4.4/5 (53 download)

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Book Synopsis Moderate Deviations for the Range of Planar Random Walks by : Richard F. Bass

Download or read book Moderate Deviations for the Range of Planar Random Walks written by Richard F. Bass and published by . This book was released on 2009 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Random Walk Intersections

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848208
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Random Walk Intersections by : Xia Chen

Download or read book Random Walk Intersections written by Xia Chen and published by American Mathematical Soc.. This book was released on 2010 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Involves important and non-trivial results in contemporary probability theory motivated by polymer models, as well as other topics of importance in physics and chemistry.

Moderate Deviations for the Range of Planar Random Walks

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821866702
Total Pages : 101 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Moderate Deviations for the Range of Planar Random Walks by : Richard F. Bass

Download or read book Moderate Deviations for the Range of Planar Random Walks written by Richard F. Bass and published by American Mathematical Soc.. This book was released on 2009-01-01 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846531
Total Pages : 84 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models by : Pierre Magal

Download or read book Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models written by Pierre Magal and published by American Mathematical Soc.. This book was released on 2009 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several types of differential equations, such as delay differential equations, age-structure models in population dynamics, evolution equations with boundary conditions, can be written as semilinear Cauchy problems with an operator which is not densely defined in its domain. The goal of this paper is to develop a center manifold theory for semilinear Cauchy problems with non-dense domain. Using Liapunov-Perron method and following the techniques of Vanderbauwhede et al. in treating infinite dimensional systems, the authors study the existence and smoothness of center manifolds for semilinear Cauchy problems with non-dense domain. As an application, they use the center manifold theorem to establish a Hopf bifurcation theorem for age structured models.

Affine Insertion and Pieri Rules for the Affine Grassmannian

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846582
Total Pages : 103 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Affine Insertion and Pieri Rules for the Affine Grassmannian by : Thomas Lam

Download or read book Affine Insertion and Pieri Rules for the Affine Grassmannian written by Thomas Lam and published by American Mathematical Soc.. This book was released on 2010 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study combinatorial aspects of the Schubert calculus of the affine Grassmannian ${\rm Gr}$ associated with $SL(n,\mathbb{C})$.Their main results are: Pieri rules for the Schubert bases of $H^*({\rm Gr})$ and $H_*({\rm Gr})$, which expresses the product of a special Schubert class and an arbitrary Schubert class in terms of Schubert classes. A new combinatorial definition for $k$-Schur functions, which represent the Schubert basis of $H_*({\rm Gr})$. A combinatorial interpretation of the pairing $H^*({\rm Gr})\times H_*({\rm Gr}) \rightarrow\mathbb Z$ induced by the cap product.

Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821844903
Total Pages : 176 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups by : Drew Armstrong

Download or read book Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups written by Drew Armstrong and published by American Mathematical Soc.. This book was released on 2009-10-08 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir is a refinement of the author's PhD thesis -- written at Cornell University (2006). It is primarily a desription of new research but also includes a substantial amount of background material. At the heart of the memoir the author introduces and studies a poset $NC^{(k)}(W)$ for each finite Coxeter group $W$ and each positive integer $k$. When $k=1$, his definition coincides with the generalized noncrossing partitions introduced by Brady and Watt in $K(\pi, 1)$'s for Artin groups of finite type and Bessis in The dual braid monoid. When $W$ is the symmetric group, the author obtains the poset of classical $k$-divisible noncrossing partitions, first studied by Edelman in Chain enumeration and non-crossing partitions.

Robin Functions for Complex Manifolds and Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849654
Total Pages : 126 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Robin Functions for Complex Manifolds and Applications by : Kang-Tae Kim

Download or read book Robin Functions for Complex Manifolds and Applications written by Kang-Tae Kim and published by American Mathematical Soc.. This book was released on 2011 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 209, number 984 (third of 5 numbers)."

Operator Algebras for Multivariable Dynamics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821853023
Total Pages : 68 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Operator Algebras for Multivariable Dynamics by : Kenneth R. Davidson

Download or read book Operator Algebras for Multivariable Dynamics written by Kenneth R. Davidson and published by American Mathematical Soc.. This book was released on 2011 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $X$ be a locally compact Hausdorff space with $n$ proper continuous self maps $\sigma_i:X \to X$ for $1 \le i \le n$. To this the authors associate two conjugacy operator algebras which emerge as the natural candidates for the universal algebra of the system, the tensor algebra $\mathcal{A}(X,\tau)$ and the semicrossed product $\mathrm{C}_0(X)\times_\tau\mathbb{F}_n^+$. They develop the necessary dilation theory for both models. In particular, they exhibit an explicit family of boundary representations which determine the C*-envelope of the tensor algebra.|Let $X$ be a locally compact Hausdorff space with $n$ proper continuous self maps $\sigma_i:X \to X$ for $1 \le i \le n$. To this the authors associate two conjugacy operator algebras which emerge as the natural candidates for the universal algebra of the system, the tensor algebra $\mathcal{A}(X,\tau)$ and the semicrossed product $\mathrm{C}_0(X)\times_\tau\mathbb{F}_n^+$. They develop the necessary dilation theory for both models. In particular, they exhibit an explicit family of boundary representations which determine the C*-envelope of the tensor algebra.

Hypocoercivity

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Publisher : American Mathematical Soc.
ISBN 13 : 0821844989
Total Pages : 154 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Hypocoercivity by : CŽdric Villani

Download or read book Hypocoercivity written by CŽdric Villani and published by American Mathematical Soc.. This book was released on 2009-10-08 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir attempts at a systematic study of convergence to stationary state for certain classes of degenerate diffusive equations, taking the general form ${\frac{\partial f}{\partial t}}+ L f =0$. The question is whether and how one can overcome the degeneracy by exploiting commutators.

Points and Curves in the Monster Tower

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848186
Total Pages : 154 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Points and Curves in the Monster Tower by : Richard Montgomery

Download or read book Points and Curves in the Monster Tower written by Richard Montgomery and published by American Mathematical Soc.. This book was released on 2010-01-15 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cartan introduced the method of prolongation which can be applied either to manifolds with distributions (Pfaffian systems) or integral curves to these distributions. Repeated application of prolongation to the plane endowed with its tangent bundle yields the Monster tower, a sequence of manifolds, each a circle bundle over the previous one, each endowed with a rank $2$ distribution. In an earlier paper (2001), the authors proved that the problem of classifying points in the Monster tower up to symmetry is the same as the problem of classifying Goursat distribution flags up to local diffeomorphism. The first level of the Monster tower is a three-dimensional contact manifold and its integral curves are Legendrian curves. The philosophy driving the current work is that all questions regarding the Monster tower (and hence regarding Goursat distribution germs) can be reduced to problems regarding Legendrian curve singularities.

Regular Subgroups of Primitive Permutation Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 082184654X
Total Pages : 87 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Regular Subgroups of Primitive Permutation Groups by : Martin W. Liebeck

Download or read book Regular Subgroups of Primitive Permutation Groups written by Martin W. Liebeck and published by American Mathematical Soc.. This book was released on 2010 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addresses the classical problem of determining finite primitive permutation groups G with a regular subgroup B.

Mixed-Norm Inequalities and Operator Space $L_p$ Embedding Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846558
Total Pages : 168 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mixed-Norm Inequalities and Operator Space $L_p$ Embedding Theory by : Marius Junge

Download or read book Mixed-Norm Inequalities and Operator Space $L_p$ Embedding Theory written by Marius Junge and published by American Mathematical Soc.. This book was released on 2010 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proof of a noncommutative analogue of the inequality for sums of free random variables over a given von Neumann subalgebra.

Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium or No Flux at the Boundary

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847260
Total Pages : 87 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium or No Flux at the Boundary by : Alfonso Castro

Download or read book Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium or No Flux at the Boundary written by Alfonso Castro and published by American Mathematical Soc.. This book was released on 2010 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors provide a complete classification of the radial solutions to a class of reaction diffusion equations arising in the study of thermal structures such as plasmas with thermal equilibrium or no flux at the boundary. In particular, their study includes rapidly growing nonlinearities, that is, those where an exponent exceeds the critical exponent. They describe the corresponding bifurcation diagrams and determine existence and uniqueness of ground states, which play a central role in characterizing those diagrams. They also provide information on the stability-unstability of the radial steady states.

Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I

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Publisher : American Mathematical Soc.
ISBN 13 : 082185304X
Total Pages : 105 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I by : Mark P. Walsh

Download or read book Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I written by Mark P. Walsh and published by American Mathematical Soc.. This book was released on 2011 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that isotopic metrics of positive scalar curvature are concordant. Whether or not the converse holds is an open question, at least in dimensions greater than four. The author shows that for a particular type of concordance, constructed using the surgery techniques of Gromov and Lawson, this converse holds in the case of closed simply connected manifolds of dimension at least five.

The Moduli Space of Cubic Threefolds as a Ball Quotient

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847511
Total Pages : 89 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Moduli Space of Cubic Threefolds as a Ball Quotient by : Daniel Allcock

Download or read book The Moduli Space of Cubic Threefolds as a Ball Quotient written by Daniel Allcock and published by American Mathematical Soc.. This book was released on 2011 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 209, number 985 (fourth of 5 numbers)."

Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of Finite Order

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846590
Total Pages : 120 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of Finite Order by : Volker Mayer

Download or read book Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of Finite Order written by Volker Mayer and published by American Mathematical Soc.. This book was released on 2010 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 203, number 954 (third of 5 numbers)."