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POWER LAWS FOR MONKEYS TYPINGS RANDOMLY: THE CASE OF UNEQUAL PROBABILITIES
TYPINGS RANDOMLY UNEQUAL PROBABILITIES
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2015/7/6
The case where letters are hit with unequal probability has been the subject of recent confusion, with
some suggesting that in this case the rank-frequency distribution follows a lognormal distributi...
Log laws or power laws: The scaling in the overlap region
overlap region power laws
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2014/12/30
The scaling in the overlap region of turbulent wall-bounded flows has long been the source of
controversy, and until recently this controversy could not be addressed because measurements
did n...
Some Critical Support for Power Laws and their variations
Some Critical Support Power Laws their variations Adaptation and Self-Organizing Systems
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2012/4/26
The paper "Critical Truths About Power Laws" (Science, 335, pp665-666) by MPH Stumpf MPH and MA Porter is commented.
Global Warming and the Power-Laws of Ecology
Global Warming Species Extinction Ecology Power-Laws Species Variability Model
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2013/2/26
A model based on Watson’s power law for the species-area relationship predicts that full global warming, projected up to the year 2050, could provoke the disappearance of roughly one-quarter of existi...
Fourier and Cauchy-Stieltjes transforms of power laws including stable distributions
Fourier transform Cauchy-Stieltjes transform stable distribution non-commutative probability Diophantine approximation
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2011/9/15
Abstract: The Pareto distribution is a basic probability distribution which shows power-law behaviour and has various kinds of applications. In this paper, we introduce a class of probability measures...
Beta processes, stick-breaking, and power laws
Beta processes stick-breaking power laws
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2011/7/5
The beta-Bernoulli process provides a Bayesian nonparametric prior for models involving collections of binary-valued features.
Inverse quantum Zeno effect and power laws in a model chiral molecule
Inverse quantum Zeno power laws model chiral molecule
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2010/11/8
We consider a chiral molecule modeled by two sets of rotational internal energy levels of different parity and degenerate ground states coupled by a constant interaction. By assuming that the collisio...
The effect of reported high-velocity small raindrops on inferred drop size distributions and derived power laws
reported high-velocity small raindrops inferred drop size distributions derived power laws
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2010/8/16
It has recently been shown that at high rainfall intensities, small raindrops may fall with much larger velocities than would be expected from their diameters. These were argued to be fragments of rec...
Notes on the occupancy problem with infinitely many boxes: General asymptotics and power laws
occupancy problem regular variation asymptotics poissonization species sampling
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2009/5/18
This paper collects facts about the number of occupied boxes in the classical balls-in-boxes occupancy scheme with infinitely many positive frequencies: equivalently, about the number of species repre...
Notes on the occupancy problem with infinitely many boxes:general asymptotics and power laws
occupancy problem regular variation asymptotics poissonization species sampling
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2010/4/26
This paper collects facts about the number of occupied boxes in
the classical balls-in-boxes occupancy scheme with infinitely many positive
frequencies: equivalently, about the number of species rep...