24 citations · 61 across the 11 of their papers we have counts for
12 papers
Lepage Equivalents and the Variational Bicomplex
David Saunders
We show how to construct, for a Lagrangian of arbitrary order, a Lepage equivalent satisfying the closure property: that the Lepage equivalent vanishes precisely when the Lagrangia…
Linear connections and shape maps for second order ODEs with and without constraints
G. E. Prince, M. Farré Puiggalí, D. J. Saunders +1
We deal with the construction of linear connections associated with second order ordinary differential equations with and without first order constraints. We use a novel method all…
Maximum Spectral Measures of Risk with given Risk Factor Marginal Distributions
Mario Ghossoub, Jesse Hall, David Saunders
We consider the problem of determining an upper bound for the value of a spectral risk measure of a loss that is a general nonlinear function of two factors whose marginal distribu…
On the Continuity of the Feasible Set Mapping in Optimal Transport
Mario Ghossoub, David Saunders
Consider the set of probability measures with given marginal distributions on the product of two complete, separable metric spaces, seen as a correspondence when the marginal distr…
On Lagrangians with Reduced-Order Euler-Lagrange Equations
David Saunders
If a Lagrangian defining a variational problem has order then its Euler-Lagrange equations generically have order . This paper considers the case where the Euler-Lagrange e…
Hilbert forms for a Finsler metrizable projective class of sprays
M. Crampin, T. Mestdag, D. J. Saunders
The projective Finsler metrizability problem deals with the question whether a projective-equivalence class of sprays is the geodesic class of a (locally or globally defined) Finsl…