22 citations · 69 across the 21 of their papers we have counts for
29 papers
A lower bound on the quantitative version of the transversality theorem
Andrew Murdza, Khai T. Nguyen
The present paper studies a quantitative version of the transversality theorem. More precisely, given a continuous function and a manifold…
Generic Properties of First Order Mean Field Games
Alberto Bressan, Khai T. Nguyen
We consider a class of deterministic mean field games, where the state associated with each player evolves according to an ODE which is linear w.r.t. the control. Existence, unique…
Shock interactions for the Burgers-Hilbert Equation
Alberto Bressan, Sondre T. Galtung, Katrin Grunert +1
This paper provides an asymptotic description of a solution to the Burgers-Hilbert equation in a neighborhood of a point where two shocks interact. The solution is obtained as the…
A quantitative version of the transversality theorem
Andrew Murdza, Khai T. Nguyen
The present paper studies a quantitative version of the transversality theorem. More precisely, given a continuous function and a global sm…
Diffusion Approximations of Markovian Solutions to Discontinuous ODEs
Alberto Bressan, Marco Mazzola, Khai T. Nguyen
In a companion paper, the authors have characterized all deterministic semigroups, and all Markov semigroups, whose trajectories are Carathe'odory solutions to a given ODE x'=f(x),…
Solutions to a system of first order H-J equations related to a debt management problem
Antonio Marigonda, Khai T. Nguyen
The paper studies a system of first order Hamilton-Jacobi equations with discontinuous coefficients, arising from a model of deterministic optimal debt management in infinite time…