11,916 research outputs found
A General Update Rule for Convex Capacities
A characterization of a general update rule for convex capacities, the G-updating rule, is investigated. We introduce a consistency property which bridges between unconditional and conditional preferences, and deduce an update rule for unconditional capacities. The axiomatic basis for the G-updating rule is established through consistent counterfactual acts, which take the form of trinary acts expressed in terms of G, an ordered tripartition of global states.ambiguous belief, Bayes' rule, update rule, convex capacity, Choquet ex- pected utility, conditional preference
Propagation of singularities for Schr\"odinger equations with modestly long range type potentials
In a previous paper by the second author, we discussed a characterization of
the microlocal singularities for solutions to Schr\"odinger equations with long
range type perturbations, using solutions to a Hamilton-Jacobi equation. In
this paper we show that we may use Dollard type approximate solutions to the
Hamilton-Jacobi equation if the perturbation satisfies somewhat stronger
conditions. As applications, we describe the propagation of microlocal
singularities for when the potential is asymptotically
homogeneous as , where is our Schr\"odinger operator, and
is the free Schr\"odinger operator, i.e., . We
show shifts the wave front set if the potential is
asymptotically homogeneous of order 1, whereas is smoothing
if is asymptotically homogenous of order
A unified representation of conditioning rules for convex capacities
This paper proposes a unified representation, called the G-updating rule, which includes three conditioning rules as special cases, the naïve Bayes rule, the Dempster-Shafer rule (Shafer(1976)), and the generalized Bayes' updating rule introduced by Dempster(1967) or Fagin and Halpern(1991). It is shown that the G-updating rule constitutes a three-step conditioning, where one of the three rules is applied in each step.
Superfield description of (4+2n)-dimensional SYM theories and their mixtures on magnetized tori
We provide a systematic way of dimensional reduction for -dimensional
supersymmetric Yang-Mills (SYM) theories () and their
mixtures compactified on two-dimensional tori with background magnetic fluxes,
which preserve a partial supersymmetry out of full or in the original SYM theories. It is formulated in an superspace respecting the unbroken supersymmetry, and the four-dimensional
effective action is written in terms of superfields representing
vector and chiral multiplets, those arise from the higher-dimensional SYM
theories. We also identify the dilaton and geometric moduli dependence of
matter K\"ahler metrics and superpotential couplings as well as of gauge
kinetic functions in the effective action. The results would be useful for
various phenomenological/cosmological model buildings with SYM theories or
D-branes wrapping magnetized tori, especially, with mixture configurations of
them with different dimensionalities from each other.Comment: 37page
Optimal Detection Strategies for an Established Invasive Forest Pest
When it comes to invasive species management, economists have focused on the trade-off between prevention of potential invasions and management of established populations. The intermediate step-detection of established populations on the landscape so that management can commence-has only recently received attention in the economics literature. A recent paper (Mehta et al., 2007) explores how biological and economic parameters affect optimal detection spending, recognizing that greater expenditures on detection can lead to smaller and more manageable population sizes upon detection because populations are discovered early. We build upon this framework by considering the optimal spatial allocation of detection effort when it is impossible to stop the advance of the main front of an invasive species, yet it is beneficial to detect and control sub-populations of the species that erupt ahead of the front. Our approach recognizes that the duration of management of sub-populations is constrained by the amount of time remaining before the main front arrives. Locations close to the front have less time remaining than locations that are more distant. These differences imply different levels of potential benefit from early detection; in particular, shorter management horizons translate into lower benefits from intervention. The optimal intensity of detection effort varies over space along with this variation in the benefits from management.Resource /Energy Economics and Policy,
Quantum Caustics for Systems with Quadratic Lagrangians in Multi-Dimensions
We study quantum caustics in -dimensional systems with quadratic
Lagrangians. Based on Schulman's procedure in the path-integral we derive the
transition amplitude on caustics in a closed form for generic multiplicity ,
and thereby complete the previous analysis carried out for the maximal
multiplicity case . Multiplicity dependence of the caustics phenomena is
illusrated by examples of a particle interacting with external electromagnetic
fields.Comment: TeX file, 27 pages, 2 figure
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