Communications in Mathematical Sciences

Volume 13 (2015)

Number 3

Special Issue in Honor of George Papanicolaou’s 70th Birthday

Guest Editors: Liliana Borcea, Jean-Pierre Fouque, Shi Jin, Lenya Ryzhik, and Jack Xin

Contents

Preface

Liliana Borcea, Jean-Pierre Fouque, Jin Shi, Lenya Ryzhik, and Jack Xin

Data assimilation for hyperbolic conservation laws: A Luenberger observer approach based on a kinetic description

Anne-Celine Boulanger, Philippe Moireau, Benoît Perthame, and Jacques Sainte-Marie

pp. 587-622

On a system of PDEs associated to a game with a varying number of players

Alain Bensoussan, Jens Frehse, and Christine Grün

pp. 623-639

The diffusion approximation for the linear Boltzmann equation with vanishing scattering coefficient

Claude Bardos, Etienne Bernard, François Golse, and Rémi Sentis

pp. 641-671

Sparse time frequency representations and dynamical systems

Thomas Y. Hou, Zuoqiang Shi, and Peyman Tavallali

pp. 673-694

Martingales and upper bounds for American-style options

Yang Wang and Russel Caflisch

pp. 695-705

Transmission and reflection of electromagnetic waves in randomly layered media

Josselin Garnier and Knut Sølna

pp. 707-728

Limiting models for equations with large random potential: A review

Guillaume Bal and Yu Gu

pp. 729-748

A quantitative study of source imaging in random waveguides

Liliana Borcea, Josselin Garnier, and Chrysoula Tsogka

pp. 749-776

Homogenized description of defect modes in periodic structures with localized defects

Vincent Duchêne, Iva Vukićević, and Michael I. Weinstein

pp. 777-823