We prove distributional convergence for a family of random processes on $\mathbb{Z}$, which describe a type of random walk with dependent delay. The model generalizes the "totally asymmetric lazy hipster random walk" studied by Addario-Berry et al [PTRF, '20]. We introduce a novel approach which relies on convergence results for finite difference schemes of Hamilton-Jacobi equations. This talk is based on joint work with Louigi Addario-Berry and Erin Beckman.

https://cornell.zoom.us/j/98133950852?pwd=R1BtUzg3MXk0NFFiNnQrTWZ6aGVSQT09

Meeting ID: 981 3395 0852
Passcode: prob