A Probabilistic Deformation of Calculus of Variations with Constraints

被引:0
|
作者
Leonard, Christian [1 ]
Zambrini, Jean-Claude [2 ]
机构
[1] Univ Paris Ouest, Bat G,200 Av Republ, F-92001 Nanterre, France
[2] GFMUL, Lisbon, Portugal
关键词
Probabilistic calculus of variations; stochastic least action principle; conditional law of large numbers; relative entropy; Bernstein processes; MECHANICS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the framework of a probabilistic deformation of the classical calculus of variations, we consider the simplest problem of constraints, and solve it in two different ways. First by a pathwise argument in the line of Euclidean Quantum Mechanics. Second from an entropic (measure theoretic) perspective.
引用
收藏
页码:177 / +
页数:3
相关论文
共 50 条
  • [1] INEQUALITY CONSTRAINTS IN CALCULUS OF VARIATIONS
    CLARKE, FH
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1977, 29 (03): : 528 - 540
  • [2] ON THE GAUGE STRUCTURE OF THE CALCULUS OF VARIATIONS WITH CONSTRAINTS
    Bruno, Danilo
    Luria, Gianvittorio
    Pagani, Enrico
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2011, 8 (08) : 1723 - 1746
  • [3] Conjugate points for calculus of variations with inequality state constraints
    Kawasaki, H
    Zeidan, V
    [J]. PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 3552 - 3557
  • [4] Digital Filter Design with Time Constraints Based on Calculus of Variations
    Toledo, Karel
    Torres, Jorge
    Martinez, Liset
    [J]. PROGRESS IN PATTERN RECOGNITION, IMAGE ANALYSIS, COMPUTER VISION, AND APPLICATIONS, CIARP 2015, 2015, 9423 : 584 - 592
  • [5] ON SOLVING CALCULUS OF VARIATIONS PROBLEMS WITH CONSTRAINTS USING GRADIENT TECHNIQUES
    ODELL, PL
    MEEK, J
    [J]. OPERATIONS RESEARCH, 1965, S 13 : B170 - &
  • [6] Necessary Conditions of Optimality for Calculus of Variations Problems with Inequality Constraints
    Lopes, Sofia O.
    Fontes, Fernando A. C. C.
    [J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 : 1382 - +
  • [7] Normality of Necessary Optimality Conditions for Calculus of Variations Problems with State Constraints
    N. Khalil
    S. O. Lopes
    [J]. Set-Valued and Variational Analysis, 2019, 27 : 503 - 521
  • [8] Normality of Necessary Optimality Conditions for Calculus of Variations Problems with State Constraints
    Khalil, N.
    Lopes, S. O.
    [J]. SET-VALUED AND VARIATIONAL ANALYSIS, 2019, 27 (02) : 503 - 521
  • [9] CALCULUS OF VARIATIONS
    SNEDDON, IN
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1965, 40 (157P): : 190 - &
  • [10] Calculus of variations
    Schilling, Rene L.
    [J]. MATHEMATICAL GAZETTE, 2020, 104 (559): : 191 - 191