127 research outputs found
A Counter Example to Cercignani’s Conjecture for the d Dimensional Kac Model
No full textKac’s d dimensional model gives a linear, many particle, binary collision model from which, under suitable conditions, the celebrated Boltzmann equation, in its spatially homogeneous form, arise as a mean field limit. The ergodicity of the evolution equation leads to questions about the relaxation rate, in hope that such a rate would pass on the Boltzmann equation as the number of particles goes to infinity. This program, starting with Kac and his one dimensional ‘Spectral Gap Conjecture’ at 1956, finally reached its conclusion in the Maxwellian case in a series of papers by authors such as Janvresse, Maslen, Carlen, Carvalho, Loss and Geronimo, but the hope to get a limiting relaxation rate for the Boltzmann equation with this linear method was already shown to be unrealistic (although the problem is still important and interesting due to its connection with the linearized Boltzmann operator). A less linear approach, via a many particle version of Cercignani’s conjecture, is the grounds for this paper. In our paper, we extend recent results by the author from the one dimensional Kac model to the d dimensional one, showing that the entropy-entropy production ratio, ΓN, still yields a very strong dependency in the number of particles of the problem when we consider the general case
The Benefits of Being Economics Professor A (and not Z)
No full textAlphabetic name ordering on multi-authored academic papers, which is the convention in the economics discipline and various other disciplines, is to the advantage of people whose last name initials are placed early in the alphabet. As it turns out, Professor A, who has been a first author more often than Professor Z, will have published more articles and experienced afaster growth rate over the course of her career as a result of reputation and visibility. Moreover, authors know that name ordering matters and indeed take ordering seriously: Several characteristics of an author group composition determine the decision to deviate from the default alphabetic name order to a significant extent.performance measurement, incentives, economists, name ordering
Correction to: Procalcitonin levels in candidemia versus bacteremia: a systematic review (Critical care (London, England) (2019) 23 1 (190))
No full textThe author wish to note there are three imprecisions in the article [1]
Dance as Embodied Ethics
No full textThis chapter, composed of three parts by three different authors, proposes that one of the many possible ways that dance might embody philosophic thought and discourse is via embodying ethical practice. Each author contributes a different perspective on the relationship between dance and ethical activity. The perspectives can be read both as separate ideas and as interrelated thoughts. Einav Katan-Schmid views dance as a metaphor for embodied ethics. She analyzes dance as an embodied activity of decision-making that regulates the tension between co-existing physical dynamics. Following from the idea of dancing, she suggests that one think of embodied ethics in performative terms – as a contemplative activity. Aili Bresnahan goes on to show how dance practice provides examples of applied ethics within the traditional western philosophical categories of both virtue ethics and consequentialist ethics. In the third section, Sara Houston argues that dance can encompass an ethics of care. She demonstrates how dance with an ethic of care involves attentiveness, putting person before form, and for the dance artists to give up a degree of control and autonomy over the work made.https://ecommons.udayton.edu/books/1064/thumbnail.jp
Recent advances in the study of convergence to equilibrium for the Becker-Doring equations
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The Entropic journey of Kac's Model
No full textThe goal of this paper is to review the advances that were made during the last few decades in the study of the entropy, and in particular the entropy method, for Kac’s many particle system
The Emergence of Order in Many Element Systems
No full textOur work is dedicated to the introduction and investigation of a new asymptotic correlation relation in the field of mean field models and limits. This new notion, order (as opposed to chaos), revolves around a tendency for self organisation in a given system and is expected to be observed in biological and societal models. Beyond the definition of this new notion, our work will show its applicability, and propagation, in the so-called choose the Leader model
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