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Mexican Mathematicians in the World : Trends and Recent Contributions
Mexican Mathematicians in the World : Trends and Recent Contributions
Autore Galaz-García Fernando
Edizione [1st ed.]
Pubbl/distr/stampa Providence : , : American Mathematical Society, , 2021
Descrizione fisica 1 online resource (336 pages)
Disciplina 510.972
Altri autori (Persone) González-TokmanCecilia
PardoJuan Carlos
Collana Contemporary Mathematics
Soggetto topico Mathematics - Mexico
Mathematicians - Mexico
Women mathematicians - Mexico
Differential geometry -- Global differential geometry
Relativity and gravitational theory -- General relativity
Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.)
Dynamical systems and ergodic theory -- Ergodic theory
Algebraic topology -- Homotopy theory
Partial differential equations -- Representations of solutions to partial differential equations
Operator theory -- General theory of linear operators
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras
Number theory -- Discontinuous groups and automorphic forms
Topological groups, Lie groups -- Lie groups
ISBN 9781470467289
1470467283
Classificazione 53Cxx83Cxx46Lxx37Axx55Pxx35Cxx47Axx17Bxx11Fxx22Exx
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Title page -- Contents -- Preface -- List of Talks and Speakers -- A survey on extensions of Riemannian manifolds and Bartnik mass estimates -- 1. Mathematical relativity -- 2. The Mantoulidis-Schoen construction -- 3. Collar extensions, gluing procedures, and Bartnik mass estimates -- 4. Recent results on Bartnik mass estimates -- 5. Conclusions and open problems -- Acknowledgments -- References -- Four-dimensional homogeneous Kähler Ricci solitons -- 1. Introduction -- 2. Preliminaries -- 3. Homogeneous Kähler surfaces. The proof of Theorem 1.1 -- 4. The proof of Corollary 1.2 -- References -- *-algebras and their nuclear dimension -- Introduction -- 1. Basics of *-algebras -- 2. Nuclear dimension -- 3. Zero dimensional objects -- 4. *-algebras associated to groups -- 5. *-algebras associated to dynamical systems -- 6. Cuntz algebras -- 7. General simple *-algebras -- 8. Nuclear dimension of commutative algebras -- Acknowledgments -- References -- Short survey on the existence of slices for the space of Riemannian metrics -- 1. Introduction -- 2. Preliminaries -- 3. Proofs of the Slice Theorem and Theorem B -- 4. Consequences of the Slice Theorem -- Acknowledgment -- References -- Model theory and metric convergence II: Averages of unitary polynomial actions -- Introduction -- 1. PET structures -- 2. Leibman sequences -- 3. An ergodic theorem for unitary polynomial actions of ℤ -- 4. A Mean Ergodic Theorem for unitary polynomial actions of abelian groups -- Appendix A. A Dominated Convergence Theorem for notions of integration in Banach spaces -- Acknowledgments -- References -- A survey on the blow-up method for fast-slow systems -- 1. Introduction -- Notation -- 2. Preliminaries -- 3. Survey -- 4. Summary and outlook -- Acknowledgments -- References -- Langlands program and Ramanujan Conjecture: A survey -- Introduction.
1. Artin -functions and number theory -- 2. Reductive groups and representation theory -- 3. The Langlands-Shahidi method -- 4. Local Langlands -- 5. Global Langlands -- 6. Globalization methods -- 7. Ramanujan Conjecture -- Acknowledgments -- References -- The least quadratic non-residue -- 1. Introduction -- 2. History and heuristics -- 3. The Pólya-Vinogradov inequality -- 4. The Burgess inequality -- 5. Explicit results on the least quadratic non-residue -- 6. The large sieve and Linnik's theorem -- 7. Ankeny's Theorem -- 8. Conclusion -- Acknowledgments -- References -- Thin homotopy and the holonomy approach to gauge theories -- 1. Introduction -- 2. Brief survey -- 3. Thin homotopy and groups of based loops on a manifold -- 4. Results -- 5. Conclusion and further remarks -- Acknowledgments -- References -- On fractional higher-order Dirichlet boundary value problems: Between the Laplacian and the bilaplacian -- 1. Introduction -- 2. Pointwise evaluations -- 3. Variational framework -- 4. Positivity preserving properties -- 5. Explicit formulas for the inhomogeneous Dirichlet problem in balls -- 6. Asymptotic behavior of solutions -- Appendix A. On the composition of Green functions -- Acknowledgments -- References -- ¹ solutions on curve integrable spacetimes -- 1. Introduction -- 2. Preliminaries and notation -- 3. Curve integrable spacetimes -- Acknowledgments -- References -- On the pseudospectra of Schrödinger operators on Zoll manifolds -- 1. Introduction and statement of results -- 2. Proof of Theorem 1.2 -- 3. Proof of Theorem 1.3 -- 4. Proof of Theorem 1.4 -- 5. Examples on ² -- References -- On a conjecture of Naito-Sagaki: Littelmann paths and Littlewood-Richardson Sundaram tableaux -- Introduction -- 1. Notation for the Lie algebras -- 2. Tableaux, words and their paths -- 3. Restriction of paths that come from words.
4. The Naito-Sagaki conjecture -- 5. Littlewood-Richardson tableaux and n-symplectic Sundaram tableaux: branching -- 6. On the proof of the Naito-Sagaki conjecture -- 7. Symplectic combinatorics of King, Berele and Sundaram -- Acknowledgments -- References -- Back Cover.
Altri titoli varianti Mexican Mathematicians in the World
Record Nr. UNINA-9910958808603321
Galaz-García Fernando  
Providence : , : American Mathematical Society, , 2021
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits
Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits
Autore Candela Pablo
Edizione [1st ed.]
Pubbl/distr/stampa Providence : , : American Mathematical Society, , 2023
Descrizione fisica 1 online resource (114 pages)
Disciplina 512/.2505
512.2505
Altri autori (Persone) SzegedyBalázs
Collana Memoirs of the American Mathematical Society Series
Soggetto topico Nilpotent groups
Curves, Cubic
Ergodic theory
Measure-preserving transformations
Dynamical systems and ergodic theory -- Ergodic theory
Dynamical systems and ergodic theory -- Ergodic theory -- General groups of measure-preserving transformations
Probability theory and stochastic processes
Probability theory and stochastic processes -- Probability theory on algebraic and topological structures
Number theory -- Sequences and sets -- Arithmetic combinatorics; higher degree uniformity
ISBN 1-4704-7541-3
Classificazione 37Axx37A1560-XX60Bxx11B30
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Title page -- Chapter 1. Introduction -- Acknowledgments -- Chapter 2. Measure-theoretic preliminaries -- 2.1. Some basic notions -- 2.2. Couplings -- 2.3. Closed properties in a coupling space -- 2.4. Localization -- 2.5. Conditional independence in set lattices -- 2.6. Idempotent couplings -- Chapter 3. Cubic couplings -- 3.1. Conditional independence of simplicial sets -- 3.2. Tricubes -- 3.3. ^{ }-convolutions and ^{ }-seminorms associated with a cubic coupling -- 3.4. Fourier -algebras -- 3.5. Properties of ^{ }-convolutions -- 3.6. Topologization of cubic couplings -- 3.7. Continuous ⁿ-convolutions -- 3.8. Topological nilspace factors of \ns -- Chapter 4. The structure theorem for cubic couplings -- 4.1. Verifying the ergodicity and composition axioms -- 4.2. Complete dependence of corner couplings -- 4.3. Convolution neighbourhoods -- 4.4. Construction of the coupling Υ. -- 4.5. Verifying the corner-completion axiom -- Chapter 5. On characteristic factors associated with nilpotent group actions -- Chapter 6. On cubic exchangeability -- Chapter 7. Limits of functions on compact nilspaces -- Appendix A. Background results from measure theory -- Bibliography -- Back Cover.
Record Nr. UNINA-9910915792003321
Candela Pablo  
Providence : , : American Mathematical Society, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui