Boundary Conditions And Subelliptic Estimates For Geometric Kramers Fokker Planck Operators On Manifolds With Boundaries

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Boundary Conditions and Subelliptic Estimates for Geometric Kramers-Fokker-Planck Operators on Manifolds with Boundaries

Author : Francis Nier
Publisher : American Mathematical Soc.
ISBN 13 : 1470428024
Total Pages : 142 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Boundary Conditions and Subelliptic Estimates for Geometric Kramers-Fokker-Planck Operators on Manifolds with Boundaries by : Francis Nier

Download or read book Boundary Conditions and Subelliptic Estimates for Geometric Kramers-Fokker-Planck Operators on Manifolds with Boundaries written by Francis Nier and published by American Mathematical Soc.. This book was released on 2018-03-19 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This article is concerned with the maximal accretive realizations of geometric Kramers-Fokker-Planck operators on manifolds with boundaries. A general class of boundary conditions is introduced which ensures the maximal accretivity and some global subelliptic estimates. Those estimates imply nice spectral properties as well as exponential decay properties for the associated semigroup. Admissible boundary conditions cover a wide range of applications for the usual scalar Kramer-Fokker-Planck equation or Bismut's hypoelliptic laplacian.

Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations

Author : T. Alazard
Publisher : American Mathematical Soc.
ISBN 13 : 147043203X
Total Pages : 108 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations by : T. Alazard

Download or read book Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations written by T. Alazard and published by American Mathematical Soc.. This book was released on 2019-01-08 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir is devoted to the proof of a well-posedness result for the gravity water waves equations, in arbitrary dimension and in fluid domains with general bottoms, when the initial velocity field is not necessarily Lipschitz. Moreover, for two-dimensional waves, the authors consider solutions such that the curvature of the initial free surface does not belong to L2. The proof is entirely based on the Eulerian formulation of the water waves equations, using microlocal analysis to obtain sharp Sobolev and Hölder estimates. The authors first prove tame estimates in Sobolev spaces depending linearly on Hölder norms and then use the dispersive properties of the water-waves system, namely Strichartz estimates, to control these Hölder norms.

From Vertex Operator Algebras to Conformal Nets and Back

Author : Sebastiano Carpi
Publisher : American Mathematical Soc.
ISBN 13 : 147042858X
Total Pages : 85 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis From Vertex Operator Algebras to Conformal Nets and Back by : Sebastiano Carpi

Download or read book From Vertex Operator Algebras to Conformal Nets and Back written by Sebastiano Carpi and published by American Mathematical Soc.. This book was released on 2018-08-09 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider unitary simple vertex operator algebras whose vertex operators satisfy certain energy bounds and a strong form of locality and call them strongly local. They present a general procedure which associates to every strongly local vertex operator algebra V a conformal net AV acting on the Hilbert space completion of V and prove that the isomorphism class of AV does not depend on the choice of the scalar product on V. They show that the class of strongly local vertex operator algebras is closed under taking tensor products and unitary subalgebras and that, for every strongly local vertex operator algebra V, the map W↦AW gives a one-to-one correspondence between the unitary subalgebras W of V and the covariant subnets of AV.

On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2

Author : Werner Hoffmann
Publisher : American Mathematical Soc.
ISBN 13 : 1470431025
Total Pages : 88 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2 by : Werner Hoffmann

Download or read book On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2 written by Werner Hoffmann and published by American Mathematical Soc.. This book was released on 2018-10-03 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank over any algebraic number field. In particular, they express the global coefficients of unipotent orbital integrals in terms of Dedekind zeta functions, Hecke -functions, and the Shintani zeta function for the space of binary quadratic forms.

Mathematical Study of Degenerate Boundary Layers: A Large Scale Ocean Circulation Problem

Author : Anne-Laure Dalibard
Publisher : American Mathematical Soc.
ISBN 13 : 1470428350
Total Pages : 111 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematical Study of Degenerate Boundary Layers: A Large Scale Ocean Circulation Problem by : Anne-Laure Dalibard

Download or read book Mathematical Study of Degenerate Boundary Layers: A Large Scale Ocean Circulation Problem written by Anne-Laure Dalibard and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Global Regularity for 2D Water Waves with Surface Tension

Author : Alexandru D. Ionescu
Publisher : American Mathematical Soc.
ISBN 13 : 1470431033
Total Pages : 123 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Global Regularity for 2D Water Waves with Surface Tension by : Alexandru D. Ionescu

Download or read book Global Regularity for 2D Water Waves with Surface Tension written by Alexandru D. Ionescu and published by American Mathematical Soc.. This book was released on 2019-01-08 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves system), and prove global regularity and modified scattering for suitably small and localized perturbations of a flat interface. An important point of the authors' analysis is to develop a sufficiently robust method (the “quasilinear I-method”) which allows the authors to deal with strong singularities arising from time resonances in the applications of the normal form method (the so-called “division problem”). As a result, they are able to consider a suitable class of perturbations with finite energy, but no other momentum conditions. Part of the authors' analysis relies on a new treatment of the Dirichlet-Neumann operator in dimension two which is of independent interest. As a consequence, the results in this paper are self-contained.

Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms

Author : Alexander Nagel
Publisher : American Mathematical Soc.
ISBN 13 : 1470434385
Total Pages : 141 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms by : Alexander Nagel

Download or read book Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms written by Alexander Nagel and published by American Mathematical Soc.. This book was released on 2019-01-08 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study algebras of singular integral operators on R and nilpotent Lie groups that arise when considering the composition of Calderón-Zygmund operators with different homogeneities, such as operators occuring in sub-elliptic problems and those arising in elliptic problems. These algebras are characterized in a number of different but equivalent ways: in terms of kernel estimates and cancellation conditions, in terms of estimates of the symbol, and in terms of decompositions into dyadic sums of dilates of bump functions. The resulting operators are pseudo-local and bounded on for . . While the usual class of Calderón-Zygmund operators is invariant under a one-parameter family of dilations, the operators studied here fall outside this class, and reflect a multi-parameter structure.

Diophantine Approximation and the Geometry of Limit Sets in Gromov Hyperbolic Metric Spaces

Author : Lior Fishman
Publisher : American Mathematical Soc.
ISBN 13 : 1470428865
Total Pages : 137 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Diophantine Approximation and the Geometry of Limit Sets in Gromov Hyperbolic Metric Spaces by : Lior Fishman

Download or read book Diophantine Approximation and the Geometry of Limit Sets in Gromov Hyperbolic Metric Spaces written by Lior Fishman and published by American Mathematical Soc.. This book was released on 2018-08-09 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the authors provide a complete theory of Diophantine approximation in the limit set of a group acting on a Gromov hyperbolic metric space. This summarizes and completes a long line of results by many authors, from Patterson's classic 1976 paper to more recent results of Hersonsky and Paulin (2002, 2004, 2007). The authors consider concrete examples of situations which have not been considered before. These include geometrically infinite Kleinian groups, geometrically finite Kleinian groups where the approximating point is not a fixed point of any element of the group, and groups acting on infinite-dimensional hyperbolic space. Moreover, in addition to providing much greater generality than any prior work of which the authors are aware, the results also give new insight into the nature of the connection between Diophantine approximation and the geometry of the limit set within which it takes place. Two results are also contained here which are purely geometric: a generalization of a theorem of Bishop and Jones (1997) to Gromov hyperbolic metric spaces, and a proof that the uniformly radial limit set of a group acting on a proper geodesic Gromov hyperbolic metric space has zero Patterson–Sullivan measure unless the group is quasiconvex-cocompact. The latter is an application of a Diophantine theorem.

Szegő Kernel Asymptotics for High Power of CR Line Bundles and Kodaira Embedding Theorems on CR Manifolds

Author : Chin-Yu Hsiao
Publisher : American Mathematical Soc.
ISBN 13 : 1470441012
Total Pages : 140 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Szegő Kernel Asymptotics for High Power of CR Line Bundles and Kodaira Embedding Theorems on CR Manifolds by : Chin-Yu Hsiao

Download or read book Szegő Kernel Asymptotics for High Power of CR Line Bundles and Kodaira Embedding Theorems on CR Manifolds written by Chin-Yu Hsiao and published by American Mathematical Soc.. This book was released on 2018-08-09 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let X be an abstract not necessarily compact orientable CR manifold of dimension 2n−1, n⩾2, and let Lk be the k-th tensor power of a CR complex line bundle L over X. Given q∈{0,1,…,n−1}, let □(q)b,k be the Gaffney extension of Kohn Laplacian for (0,q) forms with values in Lk. For λ≥0, let Π(q)k,≤λ:=E((−∞,λ]), where E denotes the spectral measure of □(q)b,k. In this work, the author proves that Π(q)k,≤k−N0F∗k, FkΠ(q)k,≤k−N0F∗k, N0≥1, admit asymptotic expansions with respect to k on the non-degenerate part of the characteristic manifold of □(q)b,k, where Fk is some kind of microlocal cut-off function. Moreover, we show that FkΠ(q)k,≤0F∗k admits a full asymptotic expansion with respect to k if □(q)b,k has small spectral gap property with respect to Fk and Π(q)k,≤0 is k-negligible away the diagonal with respect to Fk. By using these asymptotics, the authors establish almost Kodaira embedding theorems on CR manifolds and Kodaira embedding theorems on CR manifolds with transversal CR S1 action.

On Non-Generic Finite Subgroups of Exceptional Algebraic Groups

Author : Alastair J. Litterick
Publisher : American Mathematical Soc.
ISBN 13 : 1470428377
Total Pages : 156 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis On Non-Generic Finite Subgroups of Exceptional Algebraic Groups by : Alastair J. Litterick

Download or read book On Non-Generic Finite Subgroups of Exceptional Algebraic Groups written by Alastair J. Litterick and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Holomorphic Automorphic Forms and Cohomology

Author : Roelof Bruggeman
Publisher : American Mathematical Soc.
ISBN 13 : 1470428555
Total Pages : 167 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Holomorphic Automorphic Forms and Cohomology by : Roelof Bruggeman

Download or read book Holomorphic Automorphic Forms and Cohomology written by Roelof Bruggeman and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elliptic PDEs on Compact Ricci Limit Spaces and Applications

Author : Shouhei Honda
Publisher : American Mathematical Soc.
ISBN 13 : 1470428547
Total Pages : 92 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Elliptic PDEs on Compact Ricci Limit Spaces and Applications by : Shouhei Honda

Download or read book Elliptic PDEs on Compact Ricci Limit Spaces and Applications written by Shouhei Honda and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the author studies elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular the author establishes continuities of geometric quantities, which include solutions of Poisson's equations, eigenvalues of Schrödinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology. The author applies these to the study of second-order differential calculus on such limit spaces.

Globally Generated Vector Bundles with Small C1 on Projective Spaces

Author : Cristian Anghel
Publisher : American Mathematical Soc.
ISBN 13 : 1470428385
Total Pages : 107 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Globally Generated Vector Bundles with Small C1 on Projective Spaces by : Cristian Anghel

Download or read book Globally Generated Vector Bundles with Small C1 on Projective Spaces written by Cristian Anghel and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow

Author : Zhou Gang
Publisher : American Mathematical Soc.
ISBN 13 : 1470428407
Total Pages : 78 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow by : Zhou Gang

Download or read book Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow written by Zhou Gang and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Degree Spectra of Relations on a Cone

Author : Matthew Harrison-Trainor
Publisher : American Mathematical Soc.
ISBN 13 : 1470428393
Total Pages : 107 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Degree Spectra of Relations on a Cone by : Matthew Harrison-Trainor

Download or read book Degree Spectra of Relations on a Cone written by Matthew Harrison-Trainor and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bellman Function for Extremal Problems in BMO II: Evolution

Author : Paata Ivanisvili
Publisher : American Mathematical Soc.
ISBN 13 : 1470429543
Total Pages : 136 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Bellman Function for Extremal Problems in BMO II: Evolution by : Paata Ivanisvili

Download or read book Bellman Function for Extremal Problems in BMO II: Evolution written by Paata Ivanisvili and published by American Mathematical Soc.. This book was released on 2018-10-03 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a previous study, the authors built the Bellman function for integral functionals on the space. The present paper provides a development of the subject. They abandon the majority of unwanted restrictions on the function that generates the functional. It is the new evolutional approach that allows the authors to treat the problem in its natural setting. What is more, these new considerations lighten dynamical aspects of the Bellman function, in particular, the evolution of its picture.

On Mesoscopic Equilibrium for Linear Statistics in Dyson’s Brownian Motion

Author : Maurice Duits
Publisher : American Mathematical Soc.
ISBN 13 : 1470429640
Total Pages : 118 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis On Mesoscopic Equilibrium for Linear Statistics in Dyson’s Brownian Motion by : Maurice Duits

Download or read book On Mesoscopic Equilibrium for Linear Statistics in Dyson’s Brownian Motion written by Maurice Duits and published by American Mathematical Soc.. This book was released on 2018-10-03 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the authors study mesoscopic fluctuations for Dyson's Brownian motion with β=2 . Dyson showed that the Gaussian Unitary Ensemble (GUE) is the invariant measure for this stochastic evolution and conjectured that, when starting from a generic configuration of initial points, the time that is needed for the GUE statistics to become dominant depends on the scale we look at: The microscopic correlations arrive at the equilibrium regime sooner than the macrosopic correlations. The authors investigate the transition on the intermediate, i.e. mesoscopic, scales. The time scales that they consider are such that the system is already in microscopic equilibrium (sine-universality for the local correlations), but have not yet reached equilibrium at the macrosopic scale. The authors describe the transition to equilibrium on all mesoscopic scales by means of Central Limit Theorems for linear statistics with sufficiently smooth test functions. They consider two situations: deterministic initial points and randomly chosen initial points. In the random situation, they obtain a transition from the classical Central Limit Theorem for independent random variables to the one for the GUE.