Bellman Function for Extremal Problems in BMO II: Evolution - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bellman Function for Extremal Problems in BMO II: Evolution write by Paata Ivanisvili. This book was released on 2018-10-03. Bellman Function for Extremal Problems in BMO II: Evolution available in PDF, EPUB and Kindle. 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.
The Bellman Function Technique in Harmonic Analysis
The Bellman Function Technique in Harmonic Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Bellman Function Technique in Harmonic Analysis write by Vasily Vasyunin. This book was released on 2020-08-06. The Bellman Function Technique in Harmonic Analysis available in PDF, EPUB and Kindle. The Bellman function, a powerful tool originating in control theory, can be used successfully in a large class of difficult harmonic analysis problems and has produced some notable results over the last thirty years. This book by two leading experts is the first devoted to the Bellman function method and its applications to various topics in probability and harmonic analysis. Beginning with basic concepts, the theory is introduced step-by-step starting with many examples of gradually increasing sophistication, culminating with Calderón–Zygmund operators and end-point estimates. All necessary techniques are explained in generality, making this book accessible to readers without specialized training in non-linear PDEs or stochastic optimal control. Graduate students and researchers in harmonic analysis, PDEs, functional analysis, and probability will find this to be an incisive reference, and can use it as the basis of a graduate course.
Flat Rank Two Vector Bundles on Genus Two Curves
Flat Rank Two Vector Bundles on Genus Two Curves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Flat Rank Two Vector Bundles on Genus Two Curves write by Viktoria Heu. This book was released on 2019-06-10. Flat Rank Two Vector Bundles on Genus Two Curves available in PDF, EPUB and Kindle. The authors study the moduli space of trace-free irreducible rank 2 connections over a curve of genus 2 and the forgetful map towards the moduli space of underlying vector bundles (including unstable bundles), for which they compute a natural Lagrangian rational section. As a particularity of the genus case, connections as above are invariant under the hyperelliptic involution: they descend as rank logarithmic connections over the Riemann sphere. The authors establish explicit links between the well-known moduli space of the underlying parabolic bundles with the classical approaches by Narasimhan-Ramanan, Tyurin and Bertram. This allows the authors to explain a certain number of geometric phenomena in the considered moduli spaces such as the classical -configuration of the Kummer surface. The authors also recover a Poincaré family due to Bolognesi on a degree 2 cover of the Narasimhan-Ramanan moduli space. They explicitly compute the Hitchin integrable system on the moduli space of Higgs bundles and compare the Hitchin Hamiltonians with those found by van Geemen-Previato. They explicitly describe the isomonodromic foliation in the moduli space of vector bundles with -connection over curves of genus 2 and prove the transversality of the induced flow with the locus of unstable bundles.
Covering Dimension of C*-Algebras and 2-Coloured Classification
Covering Dimension of C*-Algebras and 2-Coloured Classification - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Covering Dimension of C*-Algebras and 2-Coloured Classification write by Joan Bosa. This book was released on 2019-02-21. Covering Dimension of C*-Algebras and 2-Coloured Classification available in PDF, EPUB and Kindle. The authors introduce the concept of finitely coloured equivalence for unital -homomorphisms between -algebras, for which unitary equivalence is the -coloured case. They use this notion to classify -homomorphisms from separable, unital, nuclear -algebras into ultrapowers of simple, unital, nuclear, -stable -algebras with compact extremal trace space up to -coloured equivalence by their behaviour on traces; this is based on a -coloured classification theorem for certain order zero maps, also in terms of tracial data. As an application the authors calculate the nuclear dimension of non-AF, simple, separable, unital, nuclear, -stable -algebras with compact extremal trace space: it is 1. In the case that the extremal trace space also has finite topological covering dimension, this confirms the remaining open implication of the Toms-Winter conjecture. Inspired by homotopy-rigidity theorems in geometry and topology, the authors derive a “homotopy equivalence implies isomorphism” result for large classes of -algebras with finite nuclear dimension.
An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants
An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants write by Paul Feehan. This book was released on 2019-01-08. An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants available in PDF, EPUB and Kindle. The authors prove an analogue of the Kotschick–Morgan Conjecture in the context of monopoles, obtaining a formula relating the Donaldson and Seiberg–Witten invariants of smooth four-manifolds using the -monopole cobordism. The main technical difficulty in the -monopole program relating the Seiberg–Witten and Donaldson invariants has been to compute intersection pairings on links of strata of reducible monopoles, namely the moduli spaces of Seiberg–Witten monopoles lying in lower-level strata of the Uhlenbeck compactification of the moduli space of monopoles. In this monograph, the authors prove—modulo a gluing theorem which is an extension of their earlier work—that these intersection pairings can be expressed in terms of topological data and Seiberg–Witten invariants of the four-manifold. Their proofs that the -monopole cobordism yields both the Superconformal Simple Type Conjecture of Moore, Mariño, and Peradze and Witten's Conjecture in full generality for all closed, oriented, smooth four-manifolds with and odd appear in earlier works.
