Neocortical dynamics of macroscopic-scale EEG measurements

1998 ◽  
Vol 17 (5) ◽  
pp. 110-117 ◽  
Author(s):  
P.L. Nunez
Author(s):  
Jochen Rau

Statistical mechanics concerns the transition from the microscopic to the macroscopic realm. On a macroscopic scale new phenomena arise that have no counterpart in the microscopic world. For example, macroscopic systems have a temperature; they might undergo phase transitions; and their dynamics may involve dissipation. How can such phenomena be explained? This chapter discusses the characteristic differences between the microscopic and macroscopic realms and lays out the basic challenge of statistical mechanics. It suggests how, in principle, this challenge can be tackled with the help of conservation laws and statistics. The chapter reviews some basic notions of classical probability theory. In particular, it discusses the law of large numbers and illustrates how, despite the indeterminacy of individual events, statistics can make highly accurate predictions about totals and averages.


Author(s):  
Kyoung-Tak Kim ◽  
Mohana Sundar Manoharan ◽  
Mohamed atef Tawfik ◽  
Chungu Lee ◽  
Junghwan Park ◽  
...  

2021 ◽  
Vol 171 ◽  
pp. 109638
Author(s):  
Tara Gray ◽  
Nema Bassiri ◽  
Shaquan David ◽  
Devanshi Yogeshkumar Patel ◽  
Sotirios Stathakis ◽  
...  

1986 ◽  
Vol 480 (1 New Technique) ◽  
pp. 25-35 ◽  
Author(s):  
SUDIP CHAKRAVARTY

2016 ◽  
Vol 792 ◽  
pp. 5-35 ◽  
Author(s):  
Giuseppe A. Zampogna ◽  
Alessandro Bottaro

The interaction between a fluid flow and a transversely isotropic porous medium is described. A homogenized model is used to treat the flow field in the porous region, and different interface conditions, needed to match solutions at the boundary between the pure fluid and the porous regions, are evaluated. Two problems in different flow regimes (laminar and turbulent) are considered to validate the system, which includes inertia in the leading-order equations for the permeability tensor through a Oseen approximation. The components of the permeability, which characterize microscopically the porous medium and determine the flow field at the macroscopic scale, are reasonably well estimated by the theory, both in the laminar and the turbulent case. This is demonstrated by comparing the model’s results to both experimental measurements and direct numerical simulations of the Navier–Stokes equations which resolve the flow also through the pores of the medium.


2021 ◽  
Vol 11 (11) ◽  
pp. 4817
Author(s):  
Filippos Vallianatos ◽  
Vassilis Sakkas

In the present work, a multiscale post-seismic relaxation mechanism, based on the existence of a distribution in relaxation time, is presented. Assuming an Arrhenius dependence of the relaxation time with uniform distributed activation energy in a mesoscopic scale, a generic logarithmic-type relaxation in a macroscopic scale results. The model was applied in the case of the strong 2015 Lefkas Mw6.5 (W. Greece) earthquake, where continuous GNSS (cGNSS) time series were recorded in a station located in the near vicinity of the epicentral area. The application of the present approach to the Lefkas event fits the observed displacements implied by a distribution of relaxation times in the range τmin ≈3.5 days to τmax ≈350 days.


2015 ◽  
Vol 48 (1) ◽  
pp. 640-644
Author(s):  
Carlo Bianca ◽  
Annie Lemarchand

2019 ◽  
Vol 2019 ◽  
pp. 36-52
Author(s):  
Bryan Casey

More than a quarter century after civil rights activists pioneered America’s first ridesharing network, the connections between transportation, innovation, and discrimination are again on full display. Industry leaders such as Uber, Amazon, and Waze have garnered widespread acclaim for successfully combatting stubbornly persistent barriers to transportation. But alongside this well-deserved praise has come a new set of concerns. Indeed, a growing number of studies have uncovered troubling racial disparities in wait times, ride cancellation rates, and service availability in companies including Uber, Lyft, Task Rabbit, Grubhub, and Amazon Delivery. Surveying the methodologies employed by these studies reveals a subtle, but vitally important, commonality. All of them measure discrimination at a statistical level, not an individual one. As a structural matter, this isn’t coincidental. As America transitions to an increasingly algorithmic society, all signs now suggest we are leaving traditional brick and-mortar establishments behind for a new breed of data-driven ones. Discrimination, in other words, is going digital. And when it does, it will manifest itself—almost by definition—at a macroscopic scale. Why does this matter? Because not all of our civil rights laws cognize statistically-based discrimination claims. And as it so happens, Title II could be among them. This piece discusses the implications of this doctrinal uncertainty in a world where statistically-based claims are likely to be pressed against data-driven establishments with increasing regularity. Its goals are twofold. First, it seeks to build upon adjacent scholarship by fleshing out the specific structural features of emerging business models that will make Title II’s cognizance of “disparate effect” claims so urgent. In doing so, it argues that it is not the “platform economy,” per se, that poses an existential threat to the statute but something deeper. The true threat, to borrow Lawrence Lessig’s framing, is architectural in nature. It is the algorithms underlying “platform economy businesses” that are of greatest doctrinal concern—regardless of whether such businesses operate inside the platform economy or outside it. Second, this essay joins others in calling for policy reforms focused on modernizing our civil rights canon. It argues that our transition from the “Internet Society” to the “Algorithmic Society” will demand that Title II receive a doctrinal update. If it is to remain relevant in the years and decades ahead, Title II must become Title 2.0.


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