Variational Principles Part 1 A Mathematics Tripos

Tripos Part 1 a ( 50 % Option )

Permutation Models for Set Theory An essay submitted for Part III of the Mathematical Tripos

Notes for a course of lectures for students of Part 1 B of the Computer Science Tripos

8 Variational Principles on Triangulated Surfaces

We give a brief introduction to some of the recent works on finding geometric structures on triangulated surfaces using variational principles. 2000 Mathematics Subject Classification: 52B10, 57Q15, and 32G15

Minimal Points, Variational Principles, and Variable Preferences in Set Optimization

The paper is devoted to variational analysis of set-valued mappings acting from quasimetric spaces into topological spaces with variable ordering structures. Besides the mathematical novelty, our motivation comes from applications to adaptive dynamical models of behavioral sciences. We develop a unified dynamical approach to variational principles in such settings based on the new minimal point...