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Book
Curvature and Betti Numbers. (AM-32), Volume 32
Authors: ---
ISBN: 1400882206 Year: 2016 Publisher: Princeton, NJ : Princeton University Press,

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Abstract

The description for this book, Curvature and Betti Numbers. (AM-32), Volume 32, will be forthcoming.

Keywords

Curvature. --- Geometry, Differential. --- Abelian integral. --- Affine connection. --- Algebraic operation. --- Almost periodic function. --- Analytic function. --- Arc length. --- Betti number. --- Coefficient. --- Compact space. --- Complex analysis. --- Complex conjugate. --- Complex dimension. --- Complex manifold. --- Conservative vector field. --- Constant curvature. --- Constant function. --- Continuous function. --- Convex set. --- Coordinate system. --- Covariance and contravariance of vectors. --- Covariant derivative. --- Derivative. --- Differential form. --- Differential geometry. --- Dimension (vector space). --- Dimension. --- Einstein manifold. --- Equation. --- Euclidean domain. --- Euclidean geometry. --- Euclidean space. --- Existential quantification. --- Geometry. --- Hausdorff space. --- Hypersphere. --- Killing vector field. --- Kähler manifold. --- Lie group. --- Manifold. --- Metric tensor (general relativity). --- Metric tensor. --- Mixed tensor. --- One-parameter group. --- Orientability. --- Partial derivative. --- Periodic function. --- Permutation. --- Quantity. --- Ricci curvature. --- Riemannian manifold. --- Scalar (physics). --- Sectional curvature. --- Self-adjoint. --- Special case. --- Subset. --- Summation. --- Symmetric tensor. --- Symmetrization. --- Tensor algebra. --- Tensor calculus. --- Tensor field. --- Tensor. --- Theorem. --- Torsion tensor. --- Two-dimensional space. --- Uniform convergence. --- Uniform space. --- Unit circle. --- Unit sphere. --- Unit vector. --- Vector field.


Book
The Einstein-Klein-Gordon coupled system : global stability of the Minkowski solution
Authors: ---
ISBN: 0691233039 Year: 2023 Publisher: Princeton : Princeton University Press,

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Abstract

This text provides a definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equations of general relativity. Along the way, a novel robust analytical framework is developed, which extends to more general matter models.

Keywords

General relativity (Physics). --- Klein-Gordon equation. --- Mathematical physics. --- Quantum field theory. --- SCIENCE / Physics / Mathematical & Computational. --- Addition. --- Algebraic structure. --- Antiderivative. --- Approximation. --- Asymptote. --- Asymptotic analysis. --- Bending. --- Big O notation. --- Bootstrapping (statistics). --- Calculation. --- Cauchy distribution. --- Coefficient. --- Combination. --- Compact space. --- Complex number. --- Computation. --- Conserved quantity. --- Coordinate system. --- Coordinate-free. --- Covariant derivative. --- Derivative. --- Differential operator. --- Dispersion relation. --- Einstein field equations. --- Energy functional. --- Equation. --- Estimation. --- Exponential growth. --- Foliation. --- Fourier analysis. --- Fourier transform. --- Function (mathematics). --- Function space. --- General relativity. --- Geodesic. --- Geodesics in general relativity. --- Geographic coordinate system. --- Geometry. --- Global analysis. --- Globality. --- High frequency. --- Hyperboloid. --- Hypersurface. --- Hypothesis. --- Implementation. --- Ingredient. --- Integration by parts. --- Interpolation inequality. --- Klein–Gordon equation. --- Light cone. --- Local coordinates. --- Mathematical optimization. --- Metric tensor (general relativity). --- Metric tensor. --- Minkowski space. --- Momentum. --- Monograph. --- Monotonic function. --- Nonlinear system. --- Optics. --- Parametrization. --- Partial differential equation. --- Pointwise. --- Poisson bracket. --- Quantity. --- Remainder. --- Result. --- Riemann curvature tensor. --- Scalar field. --- Scattering. --- Schwarzschild metric. --- Scientific notation. --- Second fundamental form. --- Simultaneous equations. --- Small data. --- Small number. --- Sobolev space. --- Soliton. --- Space. --- Stability theory. --- Stress–energy tensor. --- Support (mathematics). --- Symmetrization. --- Theorem. --- Time derivative. --- Timelike Infinity. --- Trace (linear algebra). --- Two-dimensional space. --- Vacuum. --- Vector field. --- Very low frequency. --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Physical mathematics --- Physics --- Schrödinger-Klein-Gordon equation --- Quantum field theory --- Wave equation --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Mathematics --- General relativity (Physics) --- Science. --- Physics.


Book
Fixing social security : the politics of reform in a polarized age
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ISBN: 0691224447 Year: 2022 Publisher: Princeton, New Jersey : Princeton University Press,

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How Social Security has shaped American politics—and why it faces insolvencySince its establishment, Social Security has become the financial linchpin of American retirement. Yet demographic trends—longer lifespans and declining birthrates—mean that this popular program now pays more in benefits than it collects in revenue. Without reforms, 83 million Americans will face an immediate benefit cut of 20 percent in 2034. How did we get here and what is the solution? In Fixing Social Security, R. Douglas Arnold explores the historical role that Social Security has played in American politics, why Congress has done nothing to fix its insolvency problem for three decades, and what legislators can do to save it.What options do legislators have as the program nears the precipice? They can raise taxes, as they did in 1977, cut benefits, as they did in 1983, or reinvent the program, as they attempted in 2005. Unfortunately, every option would impose costs, and legislators are reluctant to act, fearing electoral retribution. Arnold investigates why politicians designed the system as they did and how between 1935 and 1983 they allocated—and reallocated—costs and benefits among workers, employers, and beneficiaries. He also examines public support for the program, and why Democratic and Republican representatives, once political allies in expanding Social Security, have become so deeply polarized about fixing it.As Social Security edges closer to crisis, Fixing Social Security offers a comprehensive analysis of the political fault lines and a fresh look at what can be done—before it is too late.

Keywords

Social security. --- Social security --- United States. --- Actuary. --- Affirmative action. --- Amendment. --- Amplitude. --- Awareness. --- Baby boomers. --- Beneficiary (trust). --- Beneficiary. --- Bipartisan Policy Center. --- Cartesian coordinate system. --- Clean Air Act (United States). --- Committee. --- Compton wavelength. --- Consideration. --- Constant term. --- Determinant. --- Donor. --- Economic equilibrium. --- Edward Gramlich. --- Einstein–Hilbert action. --- Electromagnetic field. --- Employment. --- Environmental movement. --- Equations of motion. --- Federal Insurance Contributions Act tax. --- Financial market. --- G.I. Bill. --- Gauge theory. --- General relativity. --- Gradualism. --- Hilbert space. --- Homeland security. --- Income. --- Infant. --- Insolvency. --- Institution. --- Interview. --- Karl Rove. --- Legislation. --- Legislator. --- Life expectancy. --- Longevity. --- Magnetostatics. --- Mass–energy equivalence. --- Medicare Part B. --- Metric tensor (general relativity). --- Momentum operator. --- New Course. --- News conference. --- Optical fiber. --- Otto Kerner Jr. --- Path length. --- Pension. --- Percentage. --- Physicist. --- Point particle. --- Policy. --- Politician. --- Private sector. --- Privatization. --- Provision (accounting). --- Quantity. --- Real number. --- Reproductive rights. --- Retirement age. --- Retirement. --- Running mate. --- Scalar field. --- Severity (video game). --- Sexism. --- Social Security Administration. --- Social Security Benefits. --- Solvency. --- Special relativity. --- Spinor field. --- Supermajority. --- Tax rate. --- Tax. --- Taxable Wage Base. --- Taxpayer. --- Thomas precession. --- Time derivative. --- Tom Daschle. --- Total revenue. --- Transverse mode. --- Voting methods in deliberative assemblies. --- Wage. --- Welfare.

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