Cambridge Centre for Analysis (CCA)
Recent Submissions
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Asymptotically cylindrical Calabi–Yau and special Lagrangian geometry
(2017-04-13)We study asymptotically cylindrical Calabi–Yau manifolds and their asymptotically cylindrical special Lagrangian submanifolds. As a prototype problem, we also consider an extension of Hodge theory to general asymptotically ... -
Simulation of Diffusion Limited Aggregation Models and Related Results
This thesis is in three parts. All parts are motivated by a desire to gain a better understanding of models of the phenomenon of two-dimensional diffusion limited aggregation, henceforth DLA. The first part proves ... -
Consistency of nonparametric Bayesian methods for two statistical inverse problems arising from partial differential equations
(2020-07-17)Partial differential equations (PDEs) govern many natural phenomena. When trying to understand the parameters driving these phenomena, we must be aware of the inevitable errors in our measurements; in statistical inverse ... -
On Gaussian Multiplicative Chaos
(2019-07-20)Gaussian multiplicative chaos was first constructed in Kahane's seminal paper in 1985 in an attempt to provide a mathematical foundation for Kolmogorov-Obukhov-Mandelbrot theory of energy dissipation in developed turbulence. ...
