179,419 research outputs found
Path-space moderate deviations for a class of Curie–Weiss models with dissipation
No full textWe modify the spin-flip dynamics of the Curie–Weiss model with dissipation in Dai Pra, Fischer and Regoli (2013) by considering arbitrary transition rates and we analyze the phase-portrait as well as the dynamics of moderate fluctuations for macroscopic observables. We obtain path-space moderate deviation principles via a general analytic approach based on the convergence of non-linear generators and uniqueness of viscosity solutions for associated Hamilton–Jacobi equations. The moderate asymptotics depend crucially on the phase we are considering and, moreover, their behavior may be influenced by the choice of the rates
Dynamical moderate deviations for the Curie-Weiss model
No full textWe derive moderate deviation principles for the trajectory of the empirical magnetization of the standard Curie–Weiss model via a general analytic approach based on convergence of generators and uniqueness of viscosity solutions for associated Hamilton–Jacobi equations. The moderate asymptotics depend crucially on the phase under consideration.Applied Probabilit
Path-space moderate deviation principles for the random field curie-weiss model
No full textWe analyze the dynamics of moderate fluctuations for macroscopic observables of the random field Curie-Weiss model (i.e., standard Curie-Weiss model embedded in a site-dependent, i.i.d. random environment). We obtain path-space moderate deviation principles via a general analytic approach based on convergence of nonlinear generators and uniqueness of viscosity solutions for associated Hamilton-Jacobi equations. The moderate asymptotics depend crucially on the phase we consider and moreover, the space-time scale range for which fluctuations can be proven is restricted by the addition of the disorder.</p
Collet (Georges-Paul). George Moore et la France.
No full textBreugelmans R. Collet (Georges-Paul). George Moore et la France. . In: Revue belge de philologie et d'histoire, tome 38, fasc. 2, 1960. Histoire (depuis la fin de l'Antiquité) — Geschiedenis (sedert de Oudheid) pp. 479-484
Collet (Georges-Paul). George Moore et la France.
No full textBreugelmans R. Collet (Georges-Paul). George Moore et la France. . In: Revue belge de philologie et d'histoire, tome 38, fasc. 2, 1960. Histoire (depuis la fin de l'Antiquité) — Geschiedenis (sedert de Oudheid) pp. 479-484
Path-space moderate deviations for a Curie-Weiss model of self-organized criticality
No full textThe dynamical Curie-Weiss model of self-organized criticality (SOC) was introduced in (Ann. Inst. Henri Poincaré Probab. Stat. 53 (2017) 658-678) and it is derived from the classical generalized Curie-Weiss by imposing a microscopic Markovian evolution having the distribution of the Curie-Weiss model of SOC (Ann. Probab. 44 (2016) 444-478) as unique invariant measure. In the case of Gaussian single-spin distribution, we analyze the dynamics of moderate fluctuations for the magnetization. We obtain a path-space moderate deviation principle via a general analytic approach based on convergence of non-linear generators and uniqueness of viscosity solutions for associated Hamilton-Jacobi equations. Our result shows that, under a peculiar moderate space-time scaling and without tuning external parameters, the typical behavior of the magnetization is critical
Botanical Fabrication: A research project at the intersection of design, botany and horticulture
No full text‘Botanical Fabrication’ is an on-going research initiative which investigates how an understanding of botany and horticultural techniques can challenge the design process and lead to alternative sustainable manufacturing or ‘eco-facturing’ tools. This paper presents different phases of the project, from an initial research workshop (2012), to an exhibition-based experiment (Botanical Factory, 2013) and includes current work in progress (Solar Gourd, 2015) so as to articulate a critical analysis of the work to date. In a context where we urgently need to devise new principles to live, manufacture and consume within the ecological capacity of our finite planet, the paper argues for the development of a new framework for slow manufacturing with plant systems. From Darwin’s research into plant movements to our current understanding of plant physics and biomechanics, designers can begin to integrate botanical and horticultural knowledge to play with the environment of plant growth and envision production chains of a new type
Concentration inequalities for random fields via coupling
No full textWe present a new and simple approach to concentration inequalities in the context of dependent random processes and random fields. Our method is based on coupling and does not use information inequalities. In case one has a uniform control on the coupling, one obtains exponential concentration inequalities. If such a uniform control is no more possible, then one obtains polynomial or stretched-exponential concentration inequalities. Our abstract results apply to Gibbs random fields, both at high and low temperatures and in particular to the low-temperature Ising model which is a concrete example of non-uniformity of the coupling.
Appropriate Similarity Measures for Author Cocitation Analysis
No full textWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Estimates of Kolmogorov complexity in approximating Cantor sets
No full textOur aim is to quantify how complex a Cantor set is as we approximate it better and better. We formalize this by asking what is the shortest program, running on a universal Turing machine, which produces this set at the precision in the sense of Hausdorff distance. This is the Kolmogorov complexity of the approximated Cantor set, which we call the "-distortion complexity". How does this quantity behave as tends to 0? And, moreover, how this behaviour relates to other characteristics of the Cantor set? This is the subject of this work: we estimate this quantity for several types of Cantor sets on the line generated by iterated function systems and exhibit very different behaviours. For instance, the -distortion complexity of most Cantor sets is proven to behave as , where D is its box counting dimension
- …
