Stochastic Geometric Mechanics

Develops a synergistic framework of relationships among the key mathematical fields in the new science of stochastic geometric mechanics

 Provides multiple pathways of communication and learning that lead from stochastic analysis to fluid dynamics, to coadjoint motion in geometric mechanics, including nonholonomic constraints and gauge theory, and to invariant probability measures for stochastic dynamics on Lie groups

 Communicates key ideas in the context of simple, well-chosen examples in each of the components of stochastic geometric mechanics that were presented at the CIB program