**Are you an EPFL student looking for a semester project?**

Work with us on data science and visualisation projects, and deploy your project as an app on top of GraphSearch.

Person# Katharine Felicity Turner

This person is no longer with EPFL

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Related publications (4)

We consider a natural subclass of harmonic maps from a surface into G/T, namely cyclic primitive maps. Here G is any simple real Lie group (not necessarily compact), T is a Cartan subgroup and both are chosen so that there is a Coxeter automorphism on G(C)/T-C which restricts to give a k-symmetric space structure on G/T. When G is compact, any Coxeter automorphism restricts to the real form. It was shown in [3] that cyclic primitive immersions into compact G/T correspond to solutions of the affine Toda field equations and all those of a genus one surface can be constructed by integrating a pair of commuting vector fields on a finite dimensional vector subspace of a Lie algebra. We generalise these results, removing the assumption that G is compact. The first major obstacle is that a Coxeter automorphism may not restrict to a non-compact real form. We characterise, in terms of extended Dynkin diagrams, those simple real Lie groups G and Cartan subgroups T such that G/T has a k-symmetric space structure induced from a Coxeter automorphism. A Coxeter automorphism preserves the real Lie algebra g if and only if any corresponding Cartan involution defines a permutation of the extended Dynkin diagram for g(C) = g circle times C; we show that every involution of the extended Dynkin diagram for a simple complex Lie algebra g(C) is induced by a Cartan involution of a real form of sf. (C) 2017 Published by Elsevier B.V.

Henry Markram, Kathryn Hess Bellwald, Michael Reimann, Rodrigo de Campos Perin, Giuseppe Chindemi, Martina Scolamiero, Ran Levi, Max Christian Nolte, Katharine Felicity Turner, Pawel Tadeusz Dlotko

The lack of a formal link between neural network structure and its emergent function has hampered our understanding of how the brain processes information. We have now come closer to describing such a link by taking the direction of synaptic transmission into account, constructing graphs of a network that reflect the direction of information flow, and analyzing these directed graphs using algebraic topology. Applying this approach to a local network of neurons in the neocortex revealed a remarkably intricate and previously unseen topology of synaptic connectivity. The synaptic network contains an abundance of cliques of neurons bound into cavities that guide the emergence of correlated activity. In response to stimuli, correlated activity binds synaptically connected neurons into functional cliques and cavities that evolve in a stereotypical sequence toward peak complexity. We propose that the brain processes stimuli by forming increasingly complex functional cliques and cavities.

,

We consider a class of continuous-time branching processes called Markovian binary trees (MBTs), in which the individuals lifetime and reproduction epochs are modelled using a transient Markovian arrival process (TMAP). We develop methods for estimating the parameters of the TMAP by using either age-specific averages of reproduction and mortality rates, or age-specific individual demographic data. Depending on the degree of detail of the available information, we follow a weighted non-linear regression or a maximum likelihood approach. We discuss several criteria to determine the optimal number of states in the underlying TMAP. Our results improve the fit of an existing MBT model for human demography, and provide insights for the future conservation management of the threatened Chatham Island black robin population. (C) 2019 Elsevier Inc. All rights reserved.