On transients, Lyapunov functions and Turing instabilities
United Kingdom
Bayesian learning of forest and tree graphical models
United Kingdom
A classification of toral and planar attractors and substitution tiling spaces
United Kingdom
From differential to difference : the variational bicomplex and invariant Noether's theorems
United Kingdom
Correlations of zeros of families of L-functions with orthogonal or symplectic symmetry
United Kingdom
From differential to difference : the variational bicomplex and invariant Noether's theorems
A solution of a differential system can be interpreted as a maximal submanifold determined by the Cartan distribution on jet bundle. By using an exact couple, we obtain the spectral sequence associated with the bigraded structure or equivalently the differential variational bicomplex on the jet bundle, that tremendously simplifies Vinogradov's appr...
Applications of Reimann-Hilbert theory to random matrix models and quantum entanglement
Riemann-Hilbert analysis has become an essential tool in integrability for handling the most difficult asymptotic problems. This thesis demonstrates exactly this, by applying techniques in Riemann-Hilbert analysis to problems in random matrix theory and quantum information. Using an orthogonal polynomial approach, we generate the asymptotics of a. ...
A Grounded Theory of emergent benefit in pervasive game experiences
United Kingdom
Bayesian learning of forest and tree graphical models
Frequentist methods for learning Gaussian graphical model structure are unsuccessful at identifying hubs when n
Contributions to the Bayesian analysis of mixture models
Mixture models can be used to approximate irregular densities or to model heterogeneity. ·When a density estimate is needed, then we can approximate any distribution on the real line using an infinite number of normals (Ferguson (1983)). On the other hand, when a mLxture model is used to model heterogeneity, there is a proper interpretation for eac...
