Concepedia

Markov Spectrum

The Markov Spectrum is the set of real numbers that are the suprema of the values attained by the Markov constant of indefinite binary quadratic forms, distinguished by its role in characterizing the Lagrange numbers associated with Diophantine approximation.

36

Publications

1.7K

Citations

51

Authors

43

Institutions

Publications per year

2017–2026

5

Parents

Publications

36

Bounds on the 𝐿² spectrum for Markov chains and Markov processes: a generalization of Cheeger’s inequality

Gregory F. Lawler, Alan D. Sokal · Transactions of the American Mathematical Society · 1988 · 283 citations · Full text

, , +13

When does a Bernoulli convolution admit a spectrum?

Xin-Rong Dai · Advances in Mathematics · 2012 · 203 citations

, , +8

Bounds on the L 2 Spectrum for Markov Chains and Markov Processes: A Generalization of Cheeger's Inequality

Gregory F. Lawler, Alan D. Sokal · Transactions of the American Mathematical Society · 1988 · 107 citations

, , +8

Markov structures and decay of correlations for non-uniformly expanding dynamical systems

José F. Alves, Stefano Luzzatto, Vilton Pinheiro · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2005 · 99 citations · Full text

, , +14

On the integrability of zero-range chipping models with factorized steady states

Journal of Physics A Mathematical and Theoretical · 2013 · 85 citations · Full text

, , +15

1–5 of 36

Authors

51

  1. GF
    Gregory F. Lawler

    Duke University, United States

    2 publications · 390 citations

    2

    h-index

  2. JL
    Joseph Lehner

    National Institute of Standards and Technology, United States

    2 publications · 47 citations

    2

    h-index

  3. LY
    L. Ya. Vulakh

    Cooper Union, United States

    2 publications · 34 citations

    2

    h-index

  4. MS
    M. Sheingorn

    Institute for Advanced Study, United States

    2 publications · 47 citations

    2

    h-index

  5. LM
    Laurent Miclo

    Centre National de la Recherche Scientifique, France

    2 publications · 85 citations

    2

    h-index

1–5 of 51

Institutions

43

  1. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    2 publications

    95 citations

  2. Université Toulouse III - Paul Sabatier

    Toulouse, France

    2 h-index

    2 publications

    95 citations

  3. Lomonosov Moscow State University

    Moscow, Russia

    2 h-index

    2 publications

    25 citations

  4. Loughborough University

    Loughborough, United Kingdom

    2 h-index

    4 publications

    50 citations

  5. Università di Camerino

    Camerino, Italy

    2 h-index

    3 publications

    69 citations

  6. Institut de Mathématiques de Marseille

    Marseille, France

    2 h-index

    2 publications

    77 citations

  7. Cooper Union

    New York, United States

    2 h-index

    2 publications

    34 citations

  8. Université Fédérale de Toulouse Midi-Pyrénées

    Toulouse, France

    1 h-index

    1 publications

    65 citations

1–8 of 43

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 4 publications · 432 citations

    4

    h-index

  2. Advances in Mathematics

    2 publications · 237 citations

    2

    h-index

  3. arXiv (Cornell University)

    Repository · 2 publications · 77 citations

    2

    h-index

  4. IEEE Transactions on Information Theory

    2 publications · 140 citations

    2

    h-index

  5. Nonlinearity

    2 publications · 38 citations

    2

    h-index

1–5