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The limits of scale.

Harvard business review, 2014
The value of many products and services rises or falls with the number of customers using them; the fewer fax machines in use, the less important it is to have one. These network effects influence consumer decisions and affect companies' ability to compete.
Hanna, Halaburda, Felix, Oberholzer-Gee
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On scale-limited extrapolation

Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers, 2002
We propose a scale-limited signal model based on wavelet representation and study the reconstructability of scale-limited signals via extrapolation in this research. In analogy with the band-limited case, we define a scale-limited time-concentrated operator, and examine various vector spaces associated with such an operator. It is proved that the scale-
null Li-Chien Lin, C.-C.J. Kuo
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Large Deviations and Scaling Limit

Letters in Mathematical Physics, 2009
The behavior of large systems is investigated under scaling limits, by employing methods from the theory of large deviations. Scaling limits deal with large systems whose evolution is modeled at a microscopic level by suitable stochastic differential equations and which are amenable to a statistical description in terms of (macroscopic) partial ...
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Transistor Scaling to the Limit

2009
The steady miniaturization of the metal-oxide-semiconductor field-effect transistor (MOSFET) with each new generation of complementary-MOS (CMOS) technology has yielded continual improvements in integrated-circuit performance and cost per function for more than 40 years. Until recently, transistor scaling generally followed simple rules [1] with slight
T. -J. K. Liu, L. Chang
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The Limitations of Pain Scales—Reply

JAMA Pediatrics, 2020
Vito, Giordano   +2 more
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Scaling in the Diffusion Limited Aggregation Model

Physical Review Letters, 2012
We present a self-consistent picture of diffusion limited aggregation (DLA) growth based on the assumption that the probability density P(r,N) for the next particle to be attached within the distance r to the center of the cluster is expressible in the scale-invariant form P[r/R{dep}(N)].
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Scaling Limits

2007
Jean-Pierre Fouque   +3 more
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The double scaling limit

2016
AbstractThis chapter presents the double scaling limit of quartic tensor models. In the first part of this chapter it is shown show that the melonic family in the quartic melonic tensor model can be analytically resumed and that this resummation is encoded in a translation of the intermediate matrix fields to a nontrivial vacuum.
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