Concepedia

Laplace Principle

The Laplace Principle is a foundational theorem in large deviations theory that characterizes the exponential decay rate of integrals of the form $\int \exp(-n f(x)) \, d\mu_n(x)$ as $n \to \infty$, where the asymptotic behavior is determined by the infimum of a rate function associated with the sequence of measures $\mu_n$, thereby establishing a variational representation analogous to the Laplace method in asymptotic analysis.

55

Publications

2.7K

Citations

138

Authors

84

Institutions

Publications per year

2017–2026

12

Variants

Laplace's Principle

Parents

Publications

55

A Weak Convergence Approach to the Theory of Large Deviations

James Lynch, Paul Dupuis, Richard S. Ellis · Journal of the American Statistical Association · 1998 · 813 citations

, , +16

Supersymmetry constraints on type IIB supergravity

Michael Green, Savdeep Sethi · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1999 · 275 citations · Full text

, , +14

Automatic Control Systems

Saurab Verma, Vimal Singh · IEEE Transactions on Systems Man and Cybernetics · 1976 · 206 citations

, , +15

From the long jump random walk to the fractional Laplacian

Enrico Valdinoci · ArXiv.org · 2009 · 203 citations · Full text

, , +15

Explanationist Aid for the Theory of Inductive Logic

Michael Huemer · The British Journal for the Philosophy of Science · 2009 · 104 citations

, , +15

1–5 of 55

Authors

138

  1. MF
    Massimo Fornasier

    Technical University of Munich, Germany

    2 publications · 37 citations

    2

    h-index

  2. KR
    Konstantin Riedl

    Technical University of Munich, Germany

    2 publications · 37 citations

    2

    h-index

  3. TK
    Timo Klock

    Technical University of Munich, Germany

    2 publications · 37 citations

    2

    h-index

  4. PD
    Paul Dupuis

    Brown University, United States

    2 publications · 843 citations

    2

    h-index

  5. CD
    C. Delalondre

    Électricité de France (France), France

    1 publications · 14 citations

    1

    h-index

1–5 of 138

Institutions

84

  1. Simula Research Laboratory

    Oslo, Norway

    2 h-index

    2 publications

    37 citations

  2. Technical University of Munich

    Munich, Germany

    2 h-index

    4 publications

    74 citations

  3. Swansea University

    Swansea, United Kingdom

    2 h-index

    3 publications

    64 citations

  4. University of Cambridge

    Cambridge, United Kingdom

    2 h-index

    3 publications

    561 citations

  5. Lodz University of Technology

    Lodz, Poland

    2 h-index

    7 publications

    117 citations

  6. Office of Science

    Washington, United States

    1 h-index

    1 publications

    12 citations

  7. University of Palermo

    Palermo, Italy

    1 h-index

    1 publications

    19 citations

  8. Fermi National Accelerator Laboratory

    Batavia, United States

    1 h-index

    1 publications

    11 citations

1–8 of 84

Venues

  1. arXiv (Cornell University)

    Repository · 3 publications · 65 citations

    3

    h-index

  2. Fibres and Textiles in Eastern Europe

    2 publications · 39 citations

    2

    h-index

  3. 2

    h-index

  4. Computational Statistics & Data Analysis

    CSDA · 2 publications · 115 citations

    2

    h-index

  5. Statistics and Computing

    1 publications · 61 citations

    1

    h-index

1–5