2,883 research outputs found
The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations
We obtain isomonodromic transformations for Heun's equation by generalizing
Darboux transformation, and we find pairs and triplets of Heun's equation which
have the same monodromy structure. By composing generalized Darboux
transformations, we establish a new construction of the commuting operator
which ensures finite-gap property. As an application, we prove conjectures in
part III.Comment: 24 page
Capital process and optimality properties of a Bayesian Skeptic in coin-tossing games
We study capital process behavior in the fair-coin game and biased-coin games
in the framework of the game-theoretic probability of Shafer and Vovk (2001).
We show that if Skeptic uses a Bayesian strategy with a beta prior, the capital
process is lucidly expressed in terms of the past average of Reality's moves.
From this it is proved that the Skeptic's Bayesian strategy weakly forces the
strong law of large numbers (SLLN) with the convergence rate of O(\sqrt{\log
n/n})$ and if Reality violates SLLN then the exponential growth rate of the
capital process is very accurately described in terms of the Kullback
divergence between the average of Reality's moves when she violates SLLN and
the average when she observes SLLN. We also investigate optimality properties
associated with Bayesian strategy
Global dust model intercomparison in AeroCom phase I
This study presents the results of a broad intercomparison of a total of 15 global aerosol models within the AeroCom project. Each model is compared to observations related to desert dust aerosols, their direct radiative effect, and their impact on the biogeochemical cycle, i.e., aerosol optical depth (AOD) and dust deposition. Additional comparisons to Angström exponent (AE), coarse mode AOD and dust surface concentrations are included to extend the assessment of model performance and to identify common biases present in models. These data comprise a benchmark dataset that is proposed for model inspection and future dust model development. There are large differences among the global models that simulate the dust cycle and its impact on climate. In general, models simulate the climatology of vertically integrated parameters (AOD and AE) within a factor of two whereas the total deposition and surface concentration are reproduced within a factor of 10. In addition, smaller mean normalized bias and root mean square errors are obtained for the climatology of AOD and AE than for total deposition and surface concentration. Characteristics of the datasets used and their uncertainties may influence these differences. Large uncertainties still exist with respect to the deposition fluxes in the southern oceans. Further measurements and model studies are necessary to assess the general model performance to reproduce dust deposition in ocean regions sensible to iron contributions. Models overestimate the wet deposition in regions dominated by dry deposition. They generally simulate more realistic surface concentration at stations downwind of the main sources than at remote ones. Most models simulate the gradient in AOD and AE between the different dusty regions. However the seasonality and magnitude of both variables is better simulated at African stations than Middle East ones. The models simulate the offshore transport of West Africa throughout the year but they overestimate the AOD and they transport too fine particles. The models also reproduce the dust transport across the Atlantic in the summer in terms of both AOD and AE but not so well in winter-spring nor the southward displacement of the dust cloud that is responsible of the dust transport into South America. Based on the dependency of AOD on aerosol burden and size distribution we use model bias with respect to AOD and AE to infer the bias of the dust emissions in Africa and the Middle East. According to this analysis we suggest that a range of possible emissions for North Africa is 400 to 2200 Tg yr-1 and in the Middle East 26 to 526 Tg yr-1
The decomposition of level-1 irreducible highest weight modules with respect to the level-0 actions of the quantum affine algebra
We decompose the level-1 irreducible highest weight modules of the quantum
affine algebra with respect to the level-0 --action defined in q-alg/9702024. The decomposition is
parameterized by the skew Young diagrams of the border strip type.Comment: 22 pages, AMSLaTe
Probing the Ginzburg-Landau potential for lasers using higher-order photon correlations
Lasing transition is known to be analogous to the second-order phase
transition. Furthermore, for some cases, it is possible to define the
Ginzburg-Landau (GL) potential, and the GL theory predicts the photon
statistical properties of lasers. However, the GL potential for lasers is
surprising, because lasers are operating in far-from-equilibrium . In this
paper, we theoretically examine the validity of the GL theory for lasers in
terms of various parameters, particularly, the ratio between photon and carrier
lifetimes. For this purpose, we use stochastic rate equations and higher-order
photon correlation functions. With higher-order photon correlation
measurements, we can check whether or not laser dynamics are described by the
GL theory. We demonstrate that, for low- lasers, the GL theory is
applicable even when the photon lifetime is comparable to the carrier lifetime.
Furthermore, this can be understand in the framework of center manifold
reduction
Detecting Drowsy Learners at the Wheel of e-Learning Platforms with Multimodal Learning Analytics
Learners are expected to stay wakeful and focused while interacting with e-learning platforms. Although wakefulness of learners strongly relates to educational outcomes, detecting drowsy learning behaviors only from log data is not an easy task. In this study, we describe the results of our research to model learners’ wakefulness based on multimodal data generated from heart rate, seat pressure, and face recognition. We collected multimodal data from learners in a blended course of informatics and conducted two types of analysis on them. First, we clustered features based on learners’ wakefulness labels as generated by human raters and ran a statistical analysis. This analysis helped us generate insights from multimodal data that can be used to inform learner and teacher feedback in multimodal learning analytics. Second, we trained machine learning models with multiclass-Support Vector Machine (SVM), Random Forest (RF) and CatBoost Classifier (CatBoost) algorithms to recognize learners’ wakefulness states automatically. We achieved an average macro-F1 score of 0.82 in automated user-dependent models with CatBoost. We also showed that compared to unimodal data from each sensor, the multimodal sensor data can improve the accuracy of models predicting the wakefulness states of learners while they are interacting with e-learning platforms
Comparative study of macroscopic quantum tunneling in Bi_2Sr_2CaCu_2O_y intrinsic Josephson junctions with different device structures
We investigated macroscopic quantum tunneling (MQT) of
BiSrCaCuO intrinsic Josephson junctions (IJJs) with two device
structures. One is a nanometer-thick small mesa structure with only two or
three IJJs and the other is a stack of a few hundreds of IJJs on a narrow
bridge structure. Experimental results of switching current distribution for
the first switching events from zero-voltage state showed a good agreement with
the conventional theory for a single Josephson junction, indicating that a
crossover temperature from thermal activation to MQT regime for the former
device structure was as high as that for the latter device structure. Together
with the observation of multiphoton transitions between quantized energy levels
in MQT regime, these results strongly suggest that the observed MQT behavior is
intrinsic to a single IJJ in high- cuprates, independent of device
structures. The switching current distribution for the second switching events
from the first resistive state, which were carefully distinguished from the
first switchings, was also compared between two device structures. In spite of
the difference in the heat transfer environment, the second switching events
for both devices were found to show a similar temperature-independent behavior
up to a much higher temperature than the crossover temperature for the first
switching. We argue that it cannot be explained in terms of the self-heating
owing to dissipative currents after the first switching. As possible
candidates, the MQT process for the second switching and the effective increase
of electronic temperature due to quasiparticle injection are discussed.Comment: 10pages, 7figures, submitted to Phys. Rev.
Studying agile organizational design to sustain innovation.
Innovation is a core part of software development companies, frequently determined by organizational design variables including structure, capacity for learning, for change and adaptation. Agile software methods have evolved as approaches to promote agility and innovativeness in software development organizations. However, little research has examined organizational innovativeness and its relationship with organizational design and adoption of agile methods. In this work, we propose a conceptual framework to characterize innovation?s prone and averse patterns on organizational design in agile companies by measuring diffusion and integration of technologies and practices within individual, team, organizational, and environmental levels
Out-of-plane dielectric constant and insulator-superconductor transition in Bi_2Sr_2Dy_{1-x}Er_xCu_2O_8 single crystals
The out-of-plane dielectric constant of the parent insulator of the
high-temperature superconductor Bi_2Sr_2(Dy,Er)Cu_2O_8 was measured and
analysed from 80 to 300 K in the frequency range of 10^6-10^9 Hz. All the
samples were found to show a fairly large value of 10-60, implying some kind of
charge inhomogeneity in the CuO_2 plane. Considering that the superconducting
sample Bi_2Sr_2(Ca,Pr)Cu_2O_8 also shows a similar dielectric constant, the
charge inhomogeneity plays an important role in the insulator-superconductor
transition.Comment: RevTex4 format, 5 pages, 3 figures, submitted to J. Phys. Condens.
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