Geometric Bounds for Eigenvalues of Markov Chains

Article Properties
Cite
Diaconis, Persi, and Daniel Stroock. “Geometric Bounds for Eigenvalues of Markov Chains”. The Annals of Applied Probability, vol. 1, no. 1, 1991, https://doi.org/10.1214/aoap/1177005980.
Diaconis, P., & Stroock, D. (1991). Geometric Bounds for Eigenvalues of Markov Chains. The Annals of Applied Probability, 1(1). https://doi.org/10.1214/aoap/1177005980
Diaconis, Persi, and Daniel Stroock. “Geometric Bounds for Eigenvalues of Markov Chains”. The Annals of Applied Probability 1, no. 1 (1991). https://doi.org/10.1214/aoap/1177005980.
Diaconis P, Stroock D. Geometric Bounds for Eigenvalues of Markov Chains. The Annals of Applied Probability. 1991;1(1).
Citations
Title Journal Journal Categories Citations Publication Date
On the Local Linear Rate of Consensus on the Stiefel Manifold IEEE Transactions on Automatic Control
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Engineering (General). Civil engineering (General)
1 2024
Age-Dependent Differential Privacy IEEE Transactions on Information Theory
  • Science: Science (General): Cybernetics: Information theory
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Technology: Technology (General): Industrial engineering. Management engineering: Information technology
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
2024
Latent uniform samplers on multivariate binary spaces Statistics and Computing
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
2023
Sharp bounds on eigenvalues via spectral embedding based on signless Laplacians Journal of Functional Analysis
  • Science: Mathematics
2023
Rates of convergence for Gibbs sampling in the analysis of almost exchangeable data Stochastic Processes and their Applications
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
1 2023
Citations Analysis
Category Category Repetition
Science: Mathematics244
Science: Mathematics: Probabilities. Mathematical statistics133
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods72
Science: Mathematics: Instruments and machines: Electronic computers. Computer science57
Technology: Engineering (General). Civil engineering (General)38
Science: Physics29
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software29
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks25
Technology: Mechanical engineering and machinery23
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics21
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware19
Science: Science (General): Cybernetics: Information theory15
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication15
Technology: Technology (General): Industrial engineering. Management engineering: Information technology15
Technology: Manufactures: Production management. Operations management12
Social Sciences: Economic theory. Demography: Economics as a science8
Social Sciences: Commerce: Business6
Science: Chemistry: Physical and theoretical chemistry5
Science: Science (General)4
Technology: Technology (General): Industrial engineering. Management engineering4
Science: Physics: Atomic physics. Constitution and properties of matter4
Social Sciences: Statistics4
Social Sciences3
Science: Biology (General)3
Medicine: Medicine (General): Computer applications to medicine. Medical informatics3
Science2
Science: Physics: Optics. Light2
Political science: Political institutions and public administration (General)1
Political science1
Technology: Electrical engineering. Electronics. Nuclear engineering1
Medicine1
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics1
Science: Chemistry: Organic chemistry: Biochemistry1
Medicine: Internal medicine: Special situations and conditions: Industrial medicine. Industrial hygiene1
Medicine: Medicine (General)1
Medicine: Medicine (General): Medical technology1
Science: Chemistry: General. Including alchemy1
Science: Chemistry1
Social Sciences: Commerce: Business: Personnel management. Employment management1
Technology1
Social Sciences: Sociology (General)1
Science: Biology (General): Genetics1
Medicine: Internal medicine: Neurosciences. Biological psychiatry. Neuropsychiatry: Neurology. Diseases of the nervous system: Psychiatry1
Technology: Photography1
The category Science: Mathematics 244 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Efficient simulated annealing on fractal energy landscapes and was published in 1991. The most recent citation comes from a 2024 study titled Age-Dependent Differential Privacy. This article reached its peak citation in 2012, with 21 citations. It has been cited in 167 different journals, 5% of which are open access. Among related journals, the Journal of Applied Probability cited this research the most, with 21 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year