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Statistical analysis of neuronal data: Development of quantitative frameworks and application to microelectrode array analysis and cell type classification
(University of CambridgeDAMTPTrinity, 2017-10-01)
With increasing amounts of data being collected in various fields of neuroscience, there is a growing need for robust techniques for the analysis of this information. This thesis focuses on the evaluation and development ...
Spatiotemporal Self-Organization of Fluctuating Bacterial Colonies.
(APSPhysical review letters, 2017-11-03)
We model an enclosed system of bacteria, whose motility-induced phase separation is coupled to slow population
dynamics. Without noise, the system shows both static phase separation and a limit cycle, in which a
rising ...
Mode Selection in Compressible Active Flow Networks.
(Physical review letters, 2017-07-14)
Coherent, large-scale dynamics in many nonequilibrium physical, biological, or information transport networks are driven by small-scale local energy input. Here, we introduce and explore an analytically tractable nonlinear ...
Linear Waves in the Interior of Extremal Black Holes II
(Springer NatureAnnales Henri Poincare, 2017-12-01)
We consider solutions to the linear wave equation in the interior region of extremal Kerr black holes. We show that axisymmetric solutions can be extended continuously beyond the Cauchy horizon and moreover that, if we ...
Does a Growing Static Length Scale Control the Glass Transition?
(Physical review letters, 2017-11-09)
Several theories of the glass transition propose that the structural relaxation time is controlled
by a growing static length scale that is determined by the free energy landscape but not by
the local dynamical rules ...
Inferring condition specific regulatory networks with small sample sizes: a case study in bacillus subtilis and infection of mus musculus by the parasite Toxoplasma gondii
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsDowning College, 2017-10-23)
Modelling interactions between genes and their regulators is fundamental to understanding how, for example a disease progresses, or the impact of inserting a synthetic circuit into a cell. We use an existing method to infer ...
Quantum Stochastic Processes and Quantum Many-Body Physics
(University of CambridgeDAMTPSt John's College, 2017-10-04)
This dissertation investigates the theory of quantum stochastic processes and its applications in quantum many-body physics.
The main goal is to analyse complexity-theoretic aspects of both static and dynamic properties ...
Evolution of cyclic mixmaster universes with noncomoving radiation
(American Physical SocietyPhysical Review D, 2017-12-15)
We study a model of a cyclic, spatially homogeneous, anisotropic mixmaster universe of Bianchi type IX 'mixmaster' universe, containing the a radiation field with non-comoving ('tilted' with respect to the tetrad frame of ...
Cosmological models in energy-momentum-squared gravity
(American Physical SocietyPhysical Review D, 2017-12-15)
We study the cosmological effects of adding terms of higher-order in the usual energy-momentum tensor to the matter lagrangian of general relativity. This is in contrast to most studies of higher-order gravity which focus ...
On the hyperbolicity of the most general Horndeski theory
(American Physical SocietyPHYSICAL REVIEW D, 2017-12-27)
In this paper we study the hyperbolicity of the equations of motion for the
most general Horndeski theory of gravity in a generic "weak field" background.
We first show that a special case of this theory, namely
Einstein ...