# Monte Carlo Methods: Assignment 11 *Assigned 2023-11-21, due 2023-12-05 on Gradescope* ## Written The written portion of this assignment is [here](https://geometrycollective.github.io/monte-carlo/assignments/Assignment11.pdf). ## Coding Download this Jupyter notebook: [download here](walk-on-x.ipynb). In this week's coding assignment, you will implement walk on spheres algorithms for Dirichlet-Laplace-type problems, and apply them to a few example applications. All instructions are contained within text cells in the notebook. When you're done implementing all the specified functions in the notebook, submit your completed notebook on Gradescope **with all output left visible in the notebook**. The questions are described on [this page](walk-on-x.html). To help you, here are the expected outputs of the notebook.
Sampling from a 2D ball and 1D sphere.
Vector field interpolation.
Cross field interpolation.
Heat diffusion.
Curve inflation.