Large deviations for stochastic processes on Riemannian manifolds

Research output: ThesisDissertation (TU Delft)

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Abstract

This thesis is concerned with large deviations for processes in Riemannian manifolds. In particular, we study the extensions of large deviations for random walks and Brownian motion to the geometric setting. Furthermore, we also consider large deviations for random walks in Lie groups. The additional group structure allows for improvements over the general case. Finally, we also study large deviations for Brownian motion in evolving Riemannian manifolds. For this, we use the so-called 'rolling without slipping' construction of Riemannian Brownian motion, adepted to the time-inhomogeneous setting.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • Delft University of Technology
Supervisors/Advisors
  • Redig, F.H.J., Supervisor
  • van Neerven, J.M.A.M., Supervisor
Thesis sponsors
Award date25 Sep 2020
DOIs
Publication statusPublished - 2020

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