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Exploring Random Geometry with the Gaussian Free Field
(University of CambridgeDPMMSPeterhouse, 2016-10-01)
This thesis studies the geometry of objects from 2-dimensional statistical physics in the continuum.
Chapter 1 is an introduction to Schramm-Loewner evolutions (SLE). SLEs are the canonical family of non-self-intersecting, ...
Pairwise Markov properties for regression graphs
(WileyStat, 2016-11-13)
With a sequence of regressions, one may generate joint probability distributions. One starts with a joint, marginal distribution of context variables having possibly a concentration graph structure and continues with an ...
Non-relativistic twistor theory and Newton-Cartan geometry
(SpringerCommunications in Mathematical Physics, 2016-01-14)
We develop a non-relativistic twistor theory, in which Newton-Cartan structures of Newtonian gravity correspond to complex three-manifolds with a four-parameter family of rational curves with normal bundle O ⊕ O(2). We ...
Geniculo-Cortical Projection Diversity Revealed within the Mouse Visual Thalamus
(PLOSPLOS ONE, 2016-01-04)
The mouse dorsal lateral geniculate nucleus (dLGN) is an intermediary between retina and primary visual cortex (V1). Recent investigations are beginning to reveal regional complexity in mouse dLGN. Using local injections ...
Convective mass transfer from a submerged drop in a thin falling film
(Cambridge University PressJournal of Fluid Mechanics, 2016-01-25)
We study the fluid mechanics of removing a passive tracer contained in small, viscous drops attached to a flat inclined substrate using thin gravity-driven film flows. A convective mass transfer establishes across the ...
Periodization, translation, prescription and the emergence of Classical French
(WileyTransactions of the Philological Society, 2016-03-17)
In this article we demonstrate how fine-grained analysis of salient features of linguistic change over a relatively short, but significant period can help refine our notions of periodization. As our case study, we consider ...
Motility of Colonial Choanoflagellates and the Statistics of Aggregate Random Walkers
(American Physical SocietyPhysical Review Letters, 2016-01-22)
We illuminate the nature of the three-dimensional random walks of microorganisms composed of individual organisms adhered together. Such aggregate random walkers are typified by choanoflagellates, eukaryotes that are the ...
Gravity-dominated unequal-mass black hole collisions
(APSPhysical Review D, 2016-02-04)
We continue our series of studies of high-energy collisions of black holes investigating unequalmass, boosted head-on collisions in four dimensions. We show that the fraction of the center-of-mass energy radiated as ...
Exploiting the Feller Coupling for the Ewens Sampling Formula
(Institute of Mathematical StatisticsStatistical Science, 2016-02-10)
Homeostatic Activity-Dependent Tuning of Recurrent Networks for Robust Propagation of Activity
(Society for NeuroscienceJournal of Neuroscience, 2016-03-30)
Developing neuronal networks display spontaneous bursts of action potentials that are necessary for circuit organization and tuning. While spontaneous activity has been shown to instruct map formation in sensory circuits, ...