4 papers
Frequency spreading of internal wave energy by balanced flows in two dimensions
Nicholas DeFilippis, Oliver Bühler, K. Shafer Smith
Interactions between inertia-gravity waves and balanced flows lead to a spectral diffusion of wave action. Prior work has established that this diffusion is weak across constant fr…
Procurement Auctions with Predictions: Improved Frugality for Facility Location
Eric Balkanski, Nicholas DeFilippis, Vasilis Gkatzelis +1
We study the problem of designing procurement auctions for the strategic uncapacitated facility location problem: a company needs to procure a set of facility locations in order to…
Nonlinearity helps the convergence of the inverse Born series
Nicholas Defilippis, Shari Moskow, John C. Schotland
In previous work of the authors, we investigated the Born and inverse Born series for a scalar wave equation with linear and nonlinear terms, the nonlinearity being cubic of Kerr t…
Born and inverse Born series for scattering problems with Kerr nonlinearities
Nicholas Defilippis, Shari Moskow, John C. Schotland
We consider the Born and inverse Born series for scalar waves with a cubic nonlinearity of Kerr type. We find a recursive formula for the operators in the Born series and prove the…