Keyword

spectral gap

Description: A separation between eigenvalues, commonly the difference between the largest eigenvalue and the next largest in magnitude, studied in mathematics and physics.

Primary topic: Spectral Theory in Mathematical Physics (22%)

Wikidata ID: wiki/Q134487203

OpenAlex ID: keywords/spectral-gap

Análisis Comparativo y Refutación Determinista de la Incertidumbre Cuántica Óptica de Fluidos en la Variedad RP3 vs. Ortodoxia Probabilística

2002 · Perelman, Grisha · arXiv (Cornell University) · 2,245

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Logarithmic Sobolev Inequalities

1975 · Leonard Gross · American Journal of Mathematics · 1,771

Valence bond ground states in isotropic quantum antiferromagnets

1988 · Ian Affleck, Tom Kennedy, et al. · Communications in Mathematical Physics · 1,478

1992 · M. Fannes, B. Nachtergaele, et al. · Communications in Mathematical Physics · 1,422

Scaling Limits of Interacting Particle Systems

1999 · Claude Kipnis, Claudio Landim · Grundlehren der mathematischen Wissenschaften · 1,269

The Rotation of Eigenvectors by a Perturbation. III

1970 · Chandler Davis, W. M. Kahan · SIAM Journal on Numerical Analysis · 1,178

Exploratory Factor Analysis With Small Sample Sizes

2009 · J. C. F. de Winter*, D. Dodou*, et al. · Multivariate Behavioral Research · 1,172

Fractional Quantum Hall States at Zero Magnetic Field

2011 · Titus Neupert, Luiz Santos, et al. · Physical Review Letters · 1,091

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Markov Chains and Mixing Times

2017 · David Levin, Yuval Peres · American Mathematical Society eBooks · 1,000

Dual Averaging for Distributed Optimization: Convergence Analysis and Network Scaling

2011 · J. C. Duchi, A. Agarwal, et al. · IEEE Transactions on Automatic Control · 946

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Quantum Approximate Optimization Algorithm: Performance, Mechanism, and Implementation on Near-Term Devices

2020 · Leo Zhou, Sheng-Tao Wang, et al. · Physical Review X · 913

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Power Spectrum of Horizontal Wind Speed in the Frequency Range From 0.0007 to 900 Cycles Per Hour

1957 · Isaac Van der Hoven · Journal of Meteorology · 876

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Geometric Bounds for Eigenvalues of Markov Chains

1991 · Persi Diaconis, Daniel Stroock · The Annals of Applied Probability · 874

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Dual Averaging for Distributed Optimization: Convergence Analysis and Network Scaling

2010 · John C. Duchi, Alekh Agarwal, et al. · 826

Ricci curvature of Markov chains on metric spaces

2008 · Yann Ollivier · Journal of Functional Analysis · 712

Spectral Gap and Exponential Decay of Correlations

2006 · Matthew B. Hastings, Tohru Koma · Communications in Mathematical Physics · 583

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Level Set Methods for Optimization Problems Involving Geometry and Constraints

2001 · Stanley J. Osher, Fadil Santosa · Journal of Computational Physics · 559

Ground state solutions for some indefinite variational problems

2009 · Andrzej Szulkin, Tobias Weth · Journal of Functional Analysis · 486

Logarithmic Sobolev inequalities for finite Markov chains

1996 · P. Diaconis, L. Saloff-Coste · The Annals of Applied Probability · 479

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A note on the isoperimetric constant

1982 · Peter Buser · Annales Scientifiques de l École Normale Supérieure · 479

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Adiabatic Quantum Computation is Equivalent to Standard Quantum Computation

2007 · Dorit Aharonov, Wim van Dam, et al. · SIAM Journal on Computing · 456

Topological quantum order: Stability under local perturbations

2010 · Sergey Bravyi, Matthew B. Hastings, et al. · Journal of Mathematical Physics · 448

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Almost periodic Schrödinger operators: A Review

1982 · Barry Simon · Advances in Applied Mathematics · 426

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Comparison Theorems for Reversible Markov Chains

1993 · Persi Diaconis, Laurent Saloff-Coste · The Annals of Applied Probability · 423

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Spectral theory of Liouvillians for dissipative phase transitions

2018 · Fabrizio Minganti, Alberto Biella, et al. · Physical Review A · 409

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Works count: 9,522

Citation count: 114,200