Disjoint Optimizers and the Directed Landscape

Duncan Dauvergne, University of Toronto, Canada. Lingfu Zhuang, California Institute of Technology, Pasadena, CA.

Chapters 1. Introduction 2. Last passage percolation across lines 3. Tightness 4. Last passage percolation across the parabolic Airy line ensemble 5. Limits of Melon Optimizers and the Extended Airy Sheet 6. The Scaling Limit of Multi-point Brownian LPP 7. Paths in the Extended Landscape 8. Disjointness of Optimizers 9. Convergence of Optimizers A. Appendix