Annals of global analysis and geometry, ISSN 0232-704X, 1983

Journal

2016, Volume 680.

Quantum theory -- Quantum field theory; related classical field theories -- Topological field theories | Link theory | Quantum theory -- Quantum field theory; related classical field theories -- String and superstring theories; other extended objects (e.g., branes) | Homology theory | Knot theory | Manifolds and cell complexes -- Low-dimensional topology -- Invariants of knots and 3-manifolds | Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Quantum groups (quantized enveloping algebras) and related deformations | Manifolds and cell complexes -- Differential topology -- Floer homology | Curves

Conference Proceeding

2008, OXFORD MATHEMATICAL MONOGRAPHS., ISBN 0198564953

Sasakian manifolds were first introduced in 1962. This book's main focus is on the intricate relationship between Sasakian and Kähler geometries, especially...

Geometry | Contact structures | Algebraic varieties | Complex structures | Kähler geometry | Killing spinors | Orbibundles | Foliations | Orbifolds | Monge-ampère problem | Kähler-einstein metrics

Geometry | Contact structures | Algebraic varieties | Complex structures | Kähler geometry | Killing spinors | Orbibundles | Foliations | Orbifolds | Monge-ampère problem | Kähler-einstein metrics

Book

Journal of the European Mathematical Society, ISSN 1435-9855, 2018, Volume 20, Issue 12, pp. 3017 - 3071

We study the asymptotic properties of the conormal cycle of nodal sets associated to a random superposition of eigenfunctions of the Laplacian on a smooth...

Partial differential equations | Global analysis, analysis on manifolds | Probability theory and stochastic processes | Nodal sets | Conormal cycle | Eigenfunctions of the Laplacian | Gaussian measures | MATHEMATICS, APPLIED | VOLUME | EIGENFUNCTIONS | LINES | MATHEMATICS | nodal sets | BETTI NUMBERS | VALUATIONS | REAL | SPECTRAL-FUNCTION | MANIFOLDS | POINTS | conormal cycle | ZEROS | Probability | Mathematics | Spectral Theory | Differential Geometry | Mathematical Physics

Partial differential equations | Global analysis, analysis on manifolds | Probability theory and stochastic processes | Nodal sets | Conormal cycle | Eigenfunctions of the Laplacian | Gaussian measures | MATHEMATICS, APPLIED | VOLUME | EIGENFUNCTIONS | LINES | MATHEMATICS | nodal sets | BETTI NUMBERS | VALUATIONS | REAL | SPECTRAL-FUNCTION | MANIFOLDS | POINTS | conormal cycle | ZEROS | Probability | Mathematics | Spectral Theory | Differential Geometry | Mathematical Physics

Journal Article

The Annals of probability, ISSN 0091-1798, 2015, Volume 43, Issue 1, pp. 339 - 404

The aim of the present paper is to bridge the gap between the Bakry–Émery and the Lott–Sturm–Villani approaches to provide synthetic and abstract notions of...

Gamma calculus | Ricci curvature | Metric measure space | Dirichlet form | Barky-émery condition | METRIC-MEASURE-SPACES | EXISTENCE | CONVEXITY | metric measure space | INEQUALITY | STATISTICS & PROBABILITY | LIPSCHITZ FUNCTIONS | Barky-Emery condition | EULERIAN CALCULUS | DIRICHLET FORMS | MANIFOLDS | HEAT-FLOW | GEOMETRY | Probability | Mathematics | Functional Analysis | Metric Geometry | Analysis of PDEs | Barky–Émery condition | 30L99 | 49Q20 | 47D07

Gamma calculus | Ricci curvature | Metric measure space | Dirichlet form | Barky-émery condition | METRIC-MEASURE-SPACES | EXISTENCE | CONVEXITY | metric measure space | INEQUALITY | STATISTICS & PROBABILITY | LIPSCHITZ FUNCTIONS | Barky-Emery condition | EULERIAN CALCULUS | DIRICHLET FORMS | MANIFOLDS | HEAT-FLOW | GEOMETRY | Probability | Mathematics | Functional Analysis | Metric Geometry | Analysis of PDEs | Barky–Émery condition | 30L99 | 49Q20 | 47D07

Journal Article

Mathematische Annalen, ISSN 0025-5831, 8/2015, Volume 362, Issue 3, pp. 1327 - 1347

We prove an exponential estimate for the asymptotics of Bergman kernels of a positive line bundle under hypotheses of bounded geometry. Further, we give...

Mathematics, general | Mathematics | KAHLER-MANIFOLDS | BUNDLE | MATHEMATICS | OPERATOR | EQUATION

Mathematics, general | Mathematics | KAHLER-MANIFOLDS | BUNDLE | MATHEMATICS | OPERATOR | EQUATION

Journal Article

2011, ISBN 0521889723, Volume 9780521889728, xiii, 394

"Non-Hermitian quantum mechanics (NHQM) is an important alternative to the standard (Hermitian) formalism of quantum mechanics, enabling the solution of...

Hermitian symmetric spaces | Resonance | Mathematics | Hermitian structures | Quantum theory

Hermitian symmetric spaces | Resonance | Mathematics | Hermitian structures | Quantum theory

Book

Duke mathematical journal, ISSN 0012-7094, 2014, Volume 163, Issue 7, pp. 1405 - 1490

In this paper, we introduce a synthetic notion of Riemannian Ricci bounds from below for metric measure spaces (X, d, m) which is stable under measured...

MATHEMATICS | SOBOLEV SPACES | TRANSPORT | INEQUALITIES | STABILITY | COMPACT ALEXANDROV SPACES | FINSLER MANIFOLDS | WASSERSTEIN SPACES | HEAT-FLOW | GRADIENT FLOWS | GEOMETRY | 60J65 | 35K05

MATHEMATICS | SOBOLEV SPACES | TRANSPORT | INEQUALITIES | STABILITY | COMPACT ALEXANDROV SPACES | FINSLER MANIFOLDS | WASSERSTEIN SPACES | HEAT-FLOW | GRADIENT FLOWS | GEOMETRY | 60J65 | 35K05

Journal Article

1980, ISBN 9780387905198, vi, 151

Book

2013, Annals of mathematics studies, ISBN 0691157766, Volume no. 186, [8], 184

Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized...

Piecewise linear topology | Mappings (Mathematics) | Mathematics

Piecewise linear topology | Mappings (Mathematics) | Mathematics

Book

1991, 1, Studies in advanced mathematics., ISBN 084937152X, Volume 1, xvii, 364

CR Manifolds and the Tangential Cauchy Riemann Complex provides an elementary introduction to CR manifolds and the tangential Cauchy-Riemann Complex and...

CR submanifolds | Cauchy-Riemann equations | Mathematical Physics | Differential Equations

CR submanifolds | Cauchy-Riemann equations | Mathematical Physics | Differential Equations

Book

1990, ISBN 0198563329, xiii, 304

Book

13.
Full Text
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces

Revista matemática iberoamericana, ISSN 0213-2230, 2013, Volume 29, Issue 3, pp. 969 - 996

We compare several notions of weak (modulus of) gradients in metric measure spaces and prove their equivalence. Using tools from optimal transportation theory...

Sobolev functions | Optimal transport | Weak upper gradients | MATHEMATICS | optimal transport

Sobolev functions | Optimal transport | Weak upper gradients | MATHEMATICS | optimal transport

Journal Article

2015, 2015, Progress in mathematics, ISBN 3034809026, Volume 309, xi, 428

... of aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties to a surprising variety of branches of mathematics and physics...

Aperiodic tilings | Aperiodicity | Mathematics | Differentiable dynamical systems | Discrete groups | Number theory | Operator theory | Global analysis | Global Analysis and Analysis on Manifolds | Operator Theory | Number Theory | Dynamical Systems and Ergodic Theory | Convex and Discrete Geometry

Aperiodic tilings | Aperiodicity | Mathematics | Differentiable dynamical systems | Discrete groups | Number theory | Operator theory | Global analysis | Global Analysis and Analysis on Manifolds | Operator Theory | Number Theory | Dynamical Systems and Ergodic Theory | Convex and Discrete Geometry

Book

International Journal of Modern Physics A, ISSN 0217-751X, 01/2015, Volume 30, Issue 3, p. 1530018

We survey some of the basic mathematical ideas and techniques which are used in string phenomenology, such as constructions of Calabi–Yau manifolds,...

PHYSICS, NUCLEAR | MANIFOLDS | PHYSICS, PARTICLES & FIELDS

PHYSICS, NUCLEAR | MANIFOLDS | PHYSICS, PARTICLES & FIELDS

Journal Article

Foundations of computational mathematics, ISSN 1615-3383, 2018, Volume 19, Issue 1, pp. 159 - 204

The main goal of this paper is to extend the so-called Dirac–Frenkel variational principle in the framework of tensor Banach spaces. To this end we observe...

Banach manifolds | 46A32 | Linear and Multilinear Algebras, Matrix Theory | Mathematics | Tensor formats | 15A69 | 46B28 | Tensor spaces | Tensor rank | Numerical Analysis | Applications of Mathematics | Math Applications in Computer Science | Computer Science, general | Economics, general | MATHEMATICS | MATHEMATICS, APPLIED | COMPUTER SCIENCE, THEORY & METHODS | Banach spaces | Variational principles | Analysis | Tensors (Mathematics) | Tensors | Partial differential equations | Mathematical analysis | Charts | Banach space | Manifolds (mathematics) | Differential Geometry | Analysis of PDEs | Computer Science

Banach manifolds | 46A32 | Linear and Multilinear Algebras, Matrix Theory | Mathematics | Tensor formats | 15A69 | 46B28 | Tensor spaces | Tensor rank | Numerical Analysis | Applications of Mathematics | Math Applications in Computer Science | Computer Science, general | Economics, general | MATHEMATICS | MATHEMATICS, APPLIED | COMPUTER SCIENCE, THEORY & METHODS | Banach spaces | Variational principles | Analysis | Tensors (Mathematics) | Tensors | Partial differential equations | Mathematical analysis | Charts | Banach space | Manifolds (mathematics) | Differential Geometry | Analysis of PDEs | Computer Science

Journal Article

Proceedings of the London Mathematical Society, ISSN 0024-6115, 11/2015, Volume 111, Issue 5, pp. 1071 - 1129

The aim of this paper is to discuss convergence of pointed metric measure spaces in the absence of any compactness condition. We propose various definitions,...

EXISTENCE | MATHEMATICS | TANGENT-CONES | RIEMANNIAN-MANIFOLDS | UNIQUENESS | GEOMETRY | Equivalence | Mathematical analysis | Heat transmission | Spectra | Formulas (mathematics) | Curvature | Heat transfer | Convergence

EXISTENCE | MATHEMATICS | TANGENT-CONES | RIEMANNIAN-MANIFOLDS | UNIQUENESS | GEOMETRY | Equivalence | Mathematical analysis | Heat transmission | Spectra | Formulas (mathematics) | Curvature | Heat transfer | Convergence

Journal Article

Mathematical Programming, ISSN 0025-5610, 12/2014, Volume 148, Issue 1, pp. 111 - 142

For
$$\Omega $$
Ω
varying among open bounded sets in
$$\mathbb R ^n$$
R
n
, we consider shape functionals
$$J (\Omega )$$
J
(
Ω
)
defined as the infimum over a...

Theoretical, Mathematical and Computational Physics | Domain derivative | Mathematics | Duality | 49J45 | Mathematical Methods in Physics | 49K10 | Shape functionals | Infimum problems | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 49M29 | Combinatorics | 49Q10 | MATHEMATICS, APPLIED | DOMAIN | CALCULUS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | BOUNDED SLOPE CONDITION | CONVERGENCE | OPTIMIZATION | VALIDITY | Computer science | Studies | Topological manifolds | Integrals | Analysis | Mathematical programming | Functionals | Infimum | Dirichlet problem | Texts | Derivatives | Boundaries | Optimization | Mathematics - Optimization and Control

Theoretical, Mathematical and Computational Physics | Domain derivative | Mathematics | Duality | 49J45 | Mathematical Methods in Physics | 49K10 | Shape functionals | Infimum problems | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 49M29 | Combinatorics | 49Q10 | MATHEMATICS, APPLIED | DOMAIN | CALCULUS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | BOUNDED SLOPE CONDITION | CONVERGENCE | OPTIMIZATION | VALIDITY | Computer science | Studies | Topological manifolds | Integrals | Analysis | Mathematical programming | Functionals | Infimum | Dirichlet problem | Texts | Derivatives | Boundaries | Optimization | Mathematics - Optimization and Control

Journal Article

2006, 2nd ed., Applied mathematical sciences, ISBN 0387322000, Volume 147., xxxi, 377

Book

20.
Full Text
Betti numbers of random real hypersurfaces and determinants of random symmetric matrices

Journal of the European Mathematical Society, ISSN 1435-9855, 2016, Volume 18, Issue 4, pp. 733 - 772

We asymptotically estimate from above the expected Betti numbers of random real hypersurfaces in smooth real projective manifolds. Our upper bounds grow as the...

Several complex variables and analytic spaces | Algebraic geometry | Probability theory and stochastic processes | Ample line bundle | Random matrix | Random polynomial | Real projective manifold | random matrix | TOPOLOGY | MATHEMATICS, APPLIED | ample line bundle | CRITICAL-POINTS | QUADRICS | SUPERSYMMETRIC VACUA | MATHEMATICS | random polynomial | RANDOM POLYNOMIALS | SUBMANIFOLDS | INTERSECTION | COMPLEXITY | MANIFOLDS | PROBABILITIES | Complex Variables | Probability | Algebraic Geometry | Mathematics

Several complex variables and analytic spaces | Algebraic geometry | Probability theory and stochastic processes | Ample line bundle | Random matrix | Random polynomial | Real projective manifold | random matrix | TOPOLOGY | MATHEMATICS, APPLIED | ample line bundle | CRITICAL-POINTS | QUADRICS | SUPERSYMMETRIC VACUA | MATHEMATICS | random polynomial | RANDOM POLYNOMIALS | SUBMANIFOLDS | INTERSECTION | COMPLEXITY | MANIFOLDS | PROBABILITIES | Complex Variables | Probability | Algebraic Geometry | Mathematics

Journal Article

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