Theses  Cambridge Centre for Analysis (CCA)
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Relaxation to equilibrium for kinetic FokkerPlanck equation
(20190201)We want to study longtime behaviour of solutions $f_t$ of kinetic FokkerPlanck equation in $\mathbb{R}^d$, namely their convergence towards equilibrium $f_\infty$ in the form \[ \textrm{d}(f_t,f_\infty)\leq C_1 e^{C_2 ... 
Deterministic and Stochastic Approaches to Relaxation to Equilibrium for Particle Systems
(20190126)This work is about convergence to equilibrium problems for equations coming from kinetic theory. The bulk of the work is about Hypocoercivity. Hypocoercivity is the phenomenon when a semigroup shows exponentially relaxation ... 
On fundamental computational barriers in the mathematics of information
(20181020)This thesis is about computational theory in the setting of the mathematics of information. The first goal is to demonstrate that many commonly considered problems in optimisation theory cannot be solved with an algorithm ... 
Asymptotic theory for Bayesian nonparametric procedures in inverse problems
(20150718)The main goal of this thesis is to investigate the frequentist asymptotic properties of nonparametric Bayesian procedures in inverse problems and the Gaussian white noise model. In the first part, we study the frequentist ...