760 research outputs found
Extreme events and event size fluctuations in biased random walks on networks
Random walk on discrete lattice models is important to understand various
types of transport processes. The extreme events, defined as exceedences of the
flux of walkers above a prescribed threshold, have been studied recently in the
context of complex networks. This was motivated by the occurrence of rare
events such as traffic jams, floods, and power black-outs which take place on
networks. In this work, we study extreme events in a generalized random walk
model in which the walk is preferentially biased by the network topology. The
walkers preferentially choose to hop toward the hubs or small degree nodes. In
this setting, we show that extremely large fluctuations in event-sizes are
possible on small degree nodes when the walkers are biased toward the hubs. In
particular, we obtain the distribution of event-sizes on the network. Further,
the probability for the occurrence of extreme events on any node in the network
depends on its 'generalized strength', a measure of the ability of a node to
attract walkers. The 'generalized strength' is a function of the degree of the
node and that of its nearest neighbors. We obtain analytical and simulation
results for the probability of occurrence of extreme events on the nodes of a
network using a generalized random walk model. The result reveals that the
nodes with a larger value of 'generalized strength', on average, display lower
probability for the occurrence of extreme events compared to the nodes with
lower values of 'generalized strength'
Classical bifurcations and entanglement in smooth Hamiltonian system
We study entanglement in two coupled quartic oscillators. It is shown that
the entanglement, as measured by the von Neumann entropy, increases with the
classical chaos parameter for generic chaotic eigenstates. We consider certain
isolated periodic orbits whose bifurcation sequence affects a class of quantum
eigenstates, called the channel localized states. For these states, the
entanglement is a local minima in the vicinity of a pitchfork bifurcation but
is a local maxima near a anti-pitchfork bifurcation. We place these results in
the context of the close connections that may exist between entanglement
measures and conventional measures of localization that have been much studied
in quantum chaos and elsewhere. We also point to an interesting near-degeneracy
that arises in the spectrum of reduced density matrices of certain states as an
interplay of localization and symmetry.Comment: 7 pages, 6 figure
Case studies to enhance online student evaluation: Bond University – Surveying students online to improve learning and teaching
One of the most sensible ways of improving learning and teaching is to ask the students for feedback. At the end of each teaching period (i.e. semester or term) all universities and many schools survey their students. Usually these surveys are managed online. Questions ask for student perceptions about teaching, assessment and workload. The survey administrators report four common problems
Return interval distribution of extreme events and long term memory
The distribution of recurrence times or return intervals between extreme
events is important to characterize and understand the behavior of physical
systems and phenomena in many disciplines. It is well known that many physical
processes in nature and society display long range correlations. Hence, in the
last few years, considerable research effort has been directed towards studying
the distribution of return intervals for long range correlated time series.
Based on numerical simulations, it was shown that the return interval
distributions are of stretched exponential type. In this paper, we obtain an
analytical expression for the distribution of return intervals in long range
correlated time series which holds good when the average return intervals are
large. We show that the distribution is actually a product of power law and a
stretched exponential form. We also discuss the regimes of validity and perform
detailed studies on how the return interval distribution depends on the
threshold used to define extreme events.Comment: 8 pages, 6 figure
Cofibrantly generated model structures for functor calculus
Model structures for many different kinds of functor calculus can be obtained
by applying a theorem of Bousfield to a suitable category of functors. In this
paper, we give a general criterion for when model categories obtained via this
approach are cofibrantly generated. Our examples recover the homotopy functor
and -excisive model structures of Biedermann and R\"ondigs, with different
proofs, but also include a model structure for the discrete functor calculus of
Bauer, Johnson, and McCarthy.Comment: 52 pages. Comments welcome
Considerations in the planning of academic staff development activities: client views
Elizabeth Santhanam and Geoffrey Cris
Enriched functor categories for functor calculus
In this paper we present background results in enriched category theory and
enriched model category theory necessary for developing model categories of
enriched functors suitable for doing functor calculus.Comment: 31 pages. Comments welcom
Relating the Time Complexity of Optimization Problems in Light of the Exponential-Time Hypothesis
Obtaining lower bounds for NP-hard problems has for a long time been an
active area of research. Recent algebraic techniques introduced by Jonsson et
al. (SODA 2013) show that the time complexity of the parameterized SAT()
problem correlates to the lattice of strong partial clones. With this ordering
they isolated a relation such that SAT() can be solved at least as fast
as any other NP-hard SAT() problem. In this paper we extend this method
and show that such languages also exist for the max ones problem
(MaxOnes()) and the Boolean valued constraint satisfaction problem over
finite-valued constraint languages (VCSP()). With the help of these
languages we relate MaxOnes and VCSP to the exponential time hypothesis in
several different ways.Comment: This is an extended version of Relating the Time Complexity of
Optimization Problems in Light of the Exponential-Time Hypothesis, appearing
in Proceedings of the 39th International Symposium on Mathematical
Foundations of Computer Science MFCS 2014 Budapest, August 25-29, 201
A systematic approach to the evaluation of the student experience in work-integrated learning
The importance of work-integrated learning (WIL) experiences in the development of work ready graduates is well known. Despite the centrality of WIL to graduate employability, the vast majority of studies relating to student feedback tend to focus on the evaluation of learning and teaching in the classroom context. This article reports on the development and implementation of a university wide systematic approach to the collection of student feedback on learning in the workplace. It is anticipated that the approach and development of the summative survey tool described in this article will enhance the capacity of the tertiary sector to routinely capture student feedback on the experience of learning in the workplace and assist the development of models of best practice in work-integrated learning. We argue that ensuring quality in the student experience of work-integrated learning is core University business
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