1,781 research outputs found
Extensive divergence of transcription factor binding in Drosophila embryos with highly conserved gene expression
Extensive divergence of transcription factor binding in Drosophila embryos
with highly conserved gene expressionComment: 7 figures, 20 supplementary figures, 6 supplementary tables Paris M,
Kaplan T, Li XY, Villalta JE, Lott SE, et al. (2013) Extensive Divergence of
Transcription Factor Binding in Drosophila Embryos with Highly Conserved Gene
Expression. PLoS Genet 9(9): e1003748. doi:10.1371/journal.pgen.100374
Mean curvature flow in a Ricci flow background
Following work of Ecker, we consider a weighted Gibbons-Hawking-York
functional on a Riemannian manifold-with-boundary. We compute its variational
properties and its time derivative under Perelman's modified Ricci flow. The
answer has a boundary term which involves an extension of Hamilton's Harnack
expression for the mean curvature flow in Euclidean space. We also derive the
evolution equations for the second fundamental form and the mean curvature,
under a mean curvature flow in a Ricci flow background. In the case of a
gradient Ricci soliton background, we discuss mean curvature solitons and
Huisken monotonicity.Comment: final versio
An Experiment in Visual Ethnography
This paper is an output from my attendance at an ESRC-funded ‘Live Sociology’ course at
Goldsmiths College, London in 2006. The material here is based on a photography exercise and
on discussions that took place during the workshop sessions.This paper discusses a one-day exercise in
visual ethnography using a digital camera
to take photographs of Deptford in South
East London. For me, this represented an
experiment in using photography in social
research.ESR
A network-based ranking system for American college football
American college football faces a conflict created by the desire to stage
national championship games between the best teams of a season when there is no
conventional playoff system to decide which those teams are. Instead, ranking
of teams is based on their record of wins and losses during the season, but
each team plays only a small fraction of eligible opponents, making the system
underdetermined or contradictory or both. It is an interesting challenge to
create a ranking system that at once is mathematically well-founded, gives
results in general accord with received wisdom concerning the relative
strengths of the teams, and is based upon intuitive principles, allowing it to
be accepted readily by fans and experts alike. Here we introduce a
one-parameter ranking method that satisfies all of these requirements and is
based on a network representation of college football schedules.Comment: 15 pages, 3 figure
UC-240 Gone Fishin\u27 VR
Gone Fishing is a VR game that allows the player to fish from the comfort of their own home. This take on a fishing simulator has creative and playful designs that are sure to surprise the players. With this game, we intend to invoke different comedic aspects found in other games such as designs, descriptions, and possible voiceovers in order to give the players a good time. This isn’t the average fishing simulator
Mean Curvature Flow on Ricci Solitons
We study monotonic quantities in the context of combined geometric flows. In
particular, focusing on Ricci solitons as the ambient space, we consider
solutions of the heat type equation integrated over embedded submanifolds
evolving by mean curvature flow and we study their monotonicity properties.
This is part of an ongoing project with Magni and Mantegazzawhich will treat
the case of non-solitonic backgrounds \cite{a_14}.Comment: 19 page
The Sum over Topologies in Three-Dimensional Euclidean Quantum Gravity
In Hawking's Euclidean path integral approach to quantum gravity, the
partition function is computed by summing contributions from all possible
topologies. The behavior such a sum can be estimated in three spacetime
dimensions in the limit of small cosmological constant. The sum over topologies
diverges for either sign of , but for dramatically different reasons:
for , the divergent behavior comes from the contributions of very
low volume, topologically complex manifolds, while for it is a
consequence of the existence of infinite sequences of relatively high volume
manifolds with converging geometries. Possible implications for
four-dimensional quantum gravity are discussed.Comment: 12 pages (LaTeX), UCD-92-1
Upper bounds on the first eigenvalue for a diffusion operator via Bakry-\'{E}mery Ricci curvature II
Let be a symmetric diffusion operator
with an invariant measure on a complete Riemannian
manifold. In this paper we prove Li-Yau gradient estimates for weighted
elliptic equations on the complete manifold with
and -dimensional Bakry-\'{E}mery Ricci curvature bounded below by some
negative constant. Based on this, we give an upper bound on the first
eigenvalue of the diffusion operator on this kind manifold, and thereby
generalize a Cheng's result on the Laplacian case (Math. Z., 143 (1975)
289-297).Comment: Final version. The original proof of Theorem 2.1 using Li-Yau
gradient estimate method has been moved to the appendix. The new proof is
simple and direc
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