Papers related very specifically to my current work on the continuity of the argmax of a stochastic process. I’ve only listed here things that (1) probably ought to be directly cited or (2) I ought to read, and I probably double-list a lot.

Topics really should include:

• Stochastic processes
  • Absolute continuity of the maximum
  • Karhunen-Loeve expansion
• RKHS and kernel methods
• Variational analysis and nonsmooth optimization

list of papers/textbooks/course notes

promising things ive yet to go over/understand carefully

• [ ] on inner calmness*, generalized calculus, and derivatives of the normal cone mapping
• [ ] On the Aubin property of solution maps to parameterized variational systems with implicit constraints
• [ ] "Second-Order Variational Analysis in Optimization, Variational Stability, and Control"
• implicit function theorem

convex business

• [ ] Set-Valued Analysis — Aubin
• [ ] Nonlinear Optimization Lecture Notes — Stephen Wright
• [ ] "Variational Analysis" - Rockafellar & Wets
• [ ] Variational Analysis & Generalized Differentiation — Mordukhovich
• [ ] "Introduction to Nonsmooth Analysis & Optimization" - Christian Clason, Tuomo Valkonen
• [ ] Convex Analysis and Monotone Operator Theory in Hilbert Spaces — Bauschke, Combettes
• Derivatives of convex conjugate

analysis