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I work at the intersection of probability, analysis and geometry. My research to date has focused on the theory of multiplicative chaos and their applications in mathematical physics and probabilistic number theory. Below you can find further information about my various research topics and related simulations/visualisations.
Random multiplicative functions
Random multiplicative functions
(Under construction) The simulation below demonstrates the asymptotic behaviour of partial sums of Steinhaus random multiplicative function α. See also this case study written by my collaborator Ofir Gorodetsky for some background and discussion of earlier results, and our most recent work which resolves the distributional convergence at criticality.
Spectral geometry of Liouville quantum gravity
Spectral geometry of Liouville quantum gravity
(Under construction...)
For general audience
For general audience
Here are some slides from a talk about my interest in Gaussian multiplicative chaos as a universal random multifractal measure, aimed at a general non-mathematical audience.
Mo_Dick_Wong_Croucher_16-6-2018.pdfGoogle Sites
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