18.325 Topics in Applied Mathematics
Problem Sets for Spring 2001
Download latex template for solutions
- Problem Set 1a (ps).
Due Tu Feb 27. Kramers-Moyal expansion, galvanostatic electrodeposition,
arcsine law (for fraction of time spent on one side of the origin),
geometrically decaying Pearson walk.
(Complete solutions by K. Dorfman: ps,pdf, Solutions to 1+2 by S. Yang:
- Problem Set 1b (ps).
Due Th Mar 1. Similarity solution for electrodeposition,
Gram-Charlier expansion with non-zero skewness. (Solutions by S. Yang: ps, Solutions by E. Silva: ps)
- Problem Set 2a (ps). Due Tu Mar 20.
Inelastic diffusion, normal diffusion with fat tails (student-t),
anomalous diffusion with very fat tails (Cauchy). (Solutions by E. Silva:
ps, solutions by B. White: ps)
- Problem Set 2b (stated in "2a" above). Non-reversing
self-trapping random walk, self-avoiding random walk. (Solutions by D.
Harmon: ps, Solutions by E. Silva: ps)
- Problem Set 3. (ps)
Percentile order statistics, saddle-point asymptotics, diffusing-void model for
sand draining out of a container,
sorption/desorption from a lattice with excluded volume interactions.
(Solutions to #3,4 by G.-S. Kim:
ps, Solutions by D. Harmon:ps)
Note: solutions are no longer accessible as of August 2002.