Hitting Probabilities for Nonlinear Systems of Stochastic Waves

Download Hitting Probabilities for Nonlinear Systems of Stochastic Waves PDF Online Free

Author :
Publisher :
ISBN 13 : 9781470425074
Total Pages : 75 pages
Book Rating : 4.4/5 (25 download)

DOWNLOAD NOW!


Book Synopsis Hitting Probabilities for Nonlinear Systems of Stochastic Waves by : Robert C. Dalang

Download or read book Hitting Probabilities for Nonlinear Systems of Stochastic Waves written by Robert C. Dalang and published by . This book was released on 2015 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider a d-dimensional random field u={u(t,x)} that solves a nonlinear system of stochastic wave equations in spatial dimensions k∈{1,2,3}, driven by a spatially homogeneous Gaussian noise that is white in time. We mainly consider the case where the spatial covariance is given by a Riesz kernel with exponent β. Using Malliavin calculus, we establish upper and lower bounds on the probabilities that the random field visits a deterministic subset of Rd, in terms, respectively, of Hausdorff measure and Newtonian capacity of this set. The dimension that appears in the Hausdorff measure is close to optimal, and shows that when d(2−β)>2(k+1), points are polar for u. Conversely, in low dimensions d d, points are not polar. There is however an interval in which the question of polarity of points remains open.

Hitting Probabilities for Nonlinear Systems of Stochastic Waves

Download Hitting Probabilities for Nonlinear Systems of Stochastic Waves PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470414236
Total Pages : 75 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Hitting Probabilities for Nonlinear Systems of Stochastic Waves by : Robert C. Dalang

Download or read book Hitting Probabilities for Nonlinear Systems of Stochastic Waves written by Robert C. Dalang and published by American Mathematical Soc.. This book was released on 2015-08-21 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider a d-dimensional random field u={u(t,x)} that solves a non-linear system of stochastic wave equations in spatial dimensions k∈{1,2,3}, driven by a spatially homogeneous Gaussian noise that is white in time. They mainly consider the case where the spatial covariance is given by a Riesz kernel with exponent β. Using Malliavin calculus, they establish upper and lower bounds on the probabilities that the random field visits a deterministic subset of Rd, in terms, respectively, of Hausdorff measure and Newtonian capacity of this set. The dimension that appears in the Hausdorff measure is close to optimal, and shows that when d(2−β)>2(k+1), points are polar for u. Conversely, in low dimensions d, points are not polar. There is, however, an interval in which the question of polarity of points remains open.

Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations

Download Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470417057
Total Pages : 122 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations by : Volker Bach

Download or read book Diagonalizing Quadratic Bosonic Operators by Non-Autonomous Flow Equations written by Volker Bach and published by American Mathematical Soc.. This book was released on 2016-03-10 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study a non-autonomous, non-linear evolution equation on the space of operators on a complex Hilbert space. They specify assumptions that ensure the global existence of its solutions and allow them to derive its asymptotics at temporal infinity. They demonstrate that these assumptions are optimal in a suitable sense and more general than those used before. The evolution equation derives from the Brocket-Wegner flow that was proposed to diagonalize matrices and operators by a strongly continuous unitary flow. In fact, the solution of the non-linear flow equation leads to a diagonalization of Hamiltonian operators in boson quantum field theory which are quadratic in the field.

Stability of KAM Tori for Nonlinear Schrödinger Equation

Download Stability of KAM Tori for Nonlinear Schrödinger Equation PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470416573
Total Pages : 85 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Stability of KAM Tori for Nonlinear Schrödinger Equation by : Hongzi Cong

Download or read book Stability of KAM Tori for Nonlinear Schrödinger Equation written by Hongzi Cong and published by American Mathematical Soc.. This book was released on 2016-01-25 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors prove the long time stability of KAM tori (thus quasi-periodic solutions) for nonlinear Schrödinger equation subject to Dirichlet boundary conditions , where is a real Fourier multiplier. More precisely, they show that, for a typical Fourier multiplier , any solution with the initial datum in the -neighborhood of a KAM torus still stays in the -neighborhood of the KAM torus for a polynomial long time such as for any given with , where is a constant depending on and as .

On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation

Download On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470414341
Total Pages : 107 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation by : M. Escobedo

Download or read book On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation written by M. Escobedo and published by American Mathematical Soc.. This book was released on 2015-10-27 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study the Cauchy problem for a kinetic equation arising in the weak turbulence theory for the cubic nonlinear Schrödinger equation. They define suitable concepts of weak and mild solutions and prove local and global well posedness results. Several qualitative properties of the solutions, including long time asymptotics, blow up results and condensation in finite time are obtained. The authors also prove the existence of a family of solutions that exhibit pulsating behavior.

On Non-Topological Solutions of the $A_{2}$ and $B_{2}$ Chern-Simons System

Download On Non-Topological Solutions of the $A_{2}$ and $B_{2}$ Chern-Simons System PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470415437
Total Pages : 88 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis On Non-Topological Solutions of the $A_{2}$ and $B_{2}$ Chern-Simons System by : Weiwei Ao

Download or read book On Non-Topological Solutions of the $A_{2}$ and $B_{2}$ Chern-Simons System written by Weiwei Ao and published by American Mathematical Soc.. This book was released on 2016-01-25 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: Click here to view the abstract. IntroductionProof of Theorem 1.1 in the caseProof of Theorem 1.1 in the caseAppendixBibliography

Classification of $E_0$-Semigroups by Product Systems

Download Classification of $E_0$-Semigroups by Product Systems PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470417383
Total Pages : 126 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Classification of $E_0$-Semigroups by Product Systems by : Michael Skeide

Download or read book Classification of $E_0$-Semigroups by Product Systems written by Michael Skeide and published by American Mathematical Soc.. This book was released on 2016-03-10 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these notes the author presents a complete theory of classification of E0-semigroups by product systems of correspondences. As an application of his theory, he answers the fundamental question if a Markov semigroup admits a dilation by a cocycle perturbations of noise: It does if and only if it is spatial.

Igusa's $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities

Download Igusa's $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 147041841X
Total Pages : 131 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Igusa's $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities by : Bart Bories

Download or read book Igusa's $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities written by Bart Bories and published by American Mathematical Soc.. This book was released on 2016-06-21 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2011 Lemahieu and Van Proeyen proved the Monodromy Conjecture for the local topological zeta function of a non-degenerate surface singularity. The authors start from their work and obtain the same result for Igusa's p-adic and the motivic zeta function. In the p-adic case, this is, for a polynomial f∈Z[x,y,z] satisfying f(0,0,0)=0 and non-degenerate with respect to its Newton polyhedron, we show that every pole of the local p-adic zeta function of f induces an eigenvalue of the local monodromy of f at some point of f−1(0)⊂C3 close to the origin. Essentially the entire paper is dedicated to proving that, for f as above, certain candidate poles of Igusa's p-adic zeta function of f, arising from so-called B1-facets of the Newton polyhedron of f, are actually not poles. This turns out to be much harder than in the topological setting. The combinatorial proof is preceded by a study of the integral points in three-dimensional fundamental parallelepipeds. Together with the work of Lemahieu and Van Proeyen, this main result leads to the Monodromy Conjecture for the p-adic and motivic zeta function of a non-degenerate surface singularity.

Reduced Fusion Systems over 2-Groups of Sectional Rank at Most 4

Download Reduced Fusion Systems over 2-Groups of Sectional Rank at Most 4 PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470415488
Total Pages : 100 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Reduced Fusion Systems over 2-Groups of Sectional Rank at Most 4 by : Bob Oliver

Download or read book Reduced Fusion Systems over 2-Groups of Sectional Rank at Most 4 written by Bob Oliver and published by American Mathematical Soc.. This book was released on 2016-01-25 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author classifies all reduced, indecomposable fusion systems over finite -groups of sectional rank at most . The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional -rank at most . But this method of proof is very different from theirs, and is based on an analysis of the essential subgroups which can occur in the fusion systems.

The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup

Download The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470418770
Total Pages : 342 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup by : U. Meierfrankenfeld

Download or read book The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup written by U. Meierfrankenfeld and published by American Mathematical Soc.. This book was released on 2016-06-21 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let p be a prime, G a finite Kp-group S a Sylow p-subgroup of G and Q a large subgroup of G in S (i.e., CG(Q)≤Q and NG(U)≤NG(Q) for 1≠U≤CG(Q)). Let L be any subgroup of G with S≤L, Op(L)≠1 and Q⋬L. In this paper the authors determine the action of L on the largest elementary abelian normal p-reduced p-subgroup YL of L.

Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations

Download Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470419548
Total Pages : 83 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations by : Genni Fragnelli

Download or read book Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations written by Genni Fragnelli and published by American Mathematical Soc.. This book was released on 2016-06-21 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider a parabolic problem with degeneracy in the interior of the spatial domain, and they focus on observability results through Carleman estimates for the associated adjoint problem. The novelties of the present paper are two. First, the coefficient of the leading operator only belongs to a Sobolev space. Second, the degeneracy point is allowed to lie even in the interior of the control region, so that no previous result can be adapted to this situation; however, different cases can be handled, and new controllability results are established as a consequence.

Overgroups of Root Groups in Classical Groups

Download Overgroups of Root Groups in Classical Groups PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470418452
Total Pages : 1840 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Overgroups of Root Groups in Classical Groups by : Michael Aschbacher

Download or read book Overgroups of Root Groups in Classical Groups written by Michael Aschbacher and published by American Mathematical Soc.. This book was released on 2016-04-26 with total page 1840 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author extends results of McLaughlin and Kantor on overgroups of long root subgroups and long root elements in finite classical groups. In particular he determines the maximal subgroups of this form. He also determines the maximal overgroups of short root subgroups in finite classical groups and the maximal overgroups in finite orthogonal groups of c-root subgroups.

Nil Bohr-Sets and Almost Automorphy of Higher Order

Download Nil Bohr-Sets and Almost Automorphy of Higher Order PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 147041872X
Total Pages : 86 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Nil Bohr-Sets and Almost Automorphy of Higher Order by : Wen Huang

Download or read book Nil Bohr-Sets and Almost Automorphy of Higher Order written by Wen Huang and published by American Mathematical Soc.. This book was released on 2016-04-26 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two closely related topics, higher order Bohr sets and higher order almost automorphy, are investigated in this paper. Both of them are related to nilsystems. In the first part, the problem which can be viewed as the higher order version of an old question concerning Bohr sets is studied: for any d∈N does the collection of {n∈Z:S∩(S−n)∩…∩(S−dn)≠∅} with S syndetic coincide with that of Nild Bohr0 -sets? In the second part, the notion of d -step almost automorphic systems with d∈N∪{∞} is introduced and investigated, which is the generalization of the classical almost automorphic ones.

Higher Moments of Banach Space Valued Random Variables

Download Higher Moments of Banach Space Valued Random Variables PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470414651
Total Pages : 110 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Higher Moments of Banach Space Valued Random Variables by : Svante Janson

Download or read book Higher Moments of Banach Space Valued Random Variables written by Svante Janson and published by American Mathematical Soc.. This book was released on 2015-10-27 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors define the :th moment of a Banach space valued random variable as the expectation of its :th tensor power; thus the moment (if it exists) is an element of a tensor power of the original Banach space. The authors study both the projective and injective tensor products, and their relation. Moreover, in order to be general and flexible, we study three different types of expectations: Bochner integrals, Pettis integrals and Dunford integrals.

Moduli of Double EPW-Sextics

Download Moduli of Double EPW-Sextics PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470416964
Total Pages : 172 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Moduli of Double EPW-Sextics by : Kieran G. O'Grady

Download or read book Moduli of Double EPW-Sextics written by Kieran G. O'Grady and published by American Mathematical Soc.. This book was released on 2016-03-10 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author studies the GIT quotient of the symplectic grassmannian parametrizing lagrangian subspaces of ⋀3C6 modulo the natural action of SL6, call it M. This is a compactification of the moduli space of smooth double EPW-sextics and hence birational to the moduli space of HK 4-folds of Type K3[2] polarized by a divisor of square 2 for the Beauville-Bogomolov quadratic form. The author will determine the stable points. His work bears a strong analogy with the work of Voisin, Laza and Looijenga on moduli and periods of cubic 4-folds.

Classes of Polish Spaces Under Effective Borel Isomorphism

Download Classes of Polish Spaces Under Effective Borel Isomorphism PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470415631
Total Pages : 87 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Classes of Polish Spaces Under Effective Borel Isomorphism by : Vassilios Gregoriades

Download or read book Classes of Polish Spaces Under Effective Borel Isomorphism written by Vassilios Gregoriades and published by American Mathematical Soc.. This book was released on 2016-03-10 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author studies the equivalence classes under Δ11 isomorphism, otherwise effective Borel isomorphism, between complete separable metric spaces which admit a recursive presentation and he shows the existence of strictly increasing and strictly decreasing sequences as well as of infinite antichains under the natural notion of Δ11-reduction, as opposed to the non-effective case, where only two such classes exist, the one of the Baire space and the one of the naturals.

The Fourier Transform for Certain HyperKahler Fourfolds

Download The Fourier Transform for Certain HyperKahler Fourfolds PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470417405
Total Pages : 161 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis The Fourier Transform for Certain HyperKahler Fourfolds by : Mingmin Shen

Download or read book The Fourier Transform for Certain HyperKahler Fourfolds written by Mingmin Shen and published by American Mathematical Soc.. This book was released on 2016-03-10 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using a codimension-1 algebraic cycle obtained from the Poincaré line bundle, Beauville defined the Fourier transform on the Chow groups of an abelian variety A and showed that the Fourier transform induces a decomposition of the Chow ring CH∗(A). By using a codimension-2 algebraic cycle representing the Beauville-Bogomolov class, the authors give evidence for the existence of a similar decomposition for the Chow ring of Hyperkähler varieties deformation equivalent to the Hilbert scheme of length-2 subschemes on a K3 surface. They indeed establish the existence of such a decomposition for the Hilbert scheme of length-2 subschemes on a K3 surface and for the variety of lines on a very general cubic fourfold.