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The largest magnitudes of earthquakes associated with some historical volcanic eruptions and their volcanological significance
Earthquake magnitudes distance of perceptibility 1815 eruption of Tambora 1883 eruption of Krakatau magmatotectonic earthquakes
2015/9/28
We know several reports of earthquake swarms associated with volcanic eruptions in the 19th century or older periods when seismographs were not yet available. Even if we have no seismographs, the larg...
ON THE DISTRIBUTION OF THE LARGEST EIGENVALUE IN PRINCIPAL COMPONENTS ANALYSIS
LARGEST EIGENVALUE PRINCIPAL COMPONENTS
2015/8/20
Let x1 denote the square of the largest singular value of an n × p
matrix X, all of whose entries are independent standard Gaussian varates. Equivalently, x1 is the largest principal component vari...
A Simple Model of Unbounded Evolutionary Versatility as a Largest-Scale Trend in Organismal Evolution
Largest-Scale Trend Organismal Evolution
2015/7/31
The idea that there are any large-scale trends in the evolution of biological organisms is
highly controversial. It is commonly believed, for example, that there is a large-scale trend in
evolution ...
Salt Lake City’s Urban Growth and Kennecot Utah Copper: A Geographical Analysis of Urban Expansion onto a Previously Proposed Superfund Site Adjacent to the World’s Largest Copper Mine
Salt Lake City’s Urban Growth Kennecott Utah Copper Urban Expansion Adjacent to the World’s Largest Copper Mine
2014/10/20
Kennecott copper mine is one of the largest producers of pollution in the United States: it has contaminated over 72 square miles in the Salt Lake Valley. In 1998 alone, Kennecott, which is located on...
On the Ratio of Circumference to Diameter for the Largest Observable Circles: An Empirical Approach
On the Ratio of Circumference Diameter the Largest Observable Circles Empirical Approach Instrumentation and Methods for Astrophysics
2012/4/19
I present here a measurement of pi as determined for the largest observable circles. Intriguingly, the value of 16/5 asserted by the House of Representatives of the State of Indiana in 1897 is still v...
Avoiding bias in reconstructing the largest observable scales from partial-sky data
Avoiding bias reconstructing largest observable partial-sky data
2011/10/18
Obscuration due to Galactic emission complicates the extraction of information from cosmological surveys, and requires some combination of the (typically imperfect) modeling and subtraction of foregro...
The Size of the Largest Part of Random Weighted Partitions of Large Integers
Random Weighted Partitions Large Integers Probability
2011/9/20
Abstract: For a given sequence of weights (non-negative numbers), we consider partitions of the positive integer n. Each n-partition is selected uniformly at random from the set of all such partitions...
The largest eigenvalue of real symmetric, Hermitian and Hermitian self-dual random matrix models with rank one external source, part I
largest eigenvalue of real symmetric Hermitian and Hermitian self-dual random matrix rank one external source
2011/2/22
We consider the limiting location and limiting distribution of the largest eigenvalue in real
symmetric (β = 1), Hermitian (β = 2), and Hermitian self-dual (β = 4) random matrix models
with rank 1 e...
Asymptotic Behaviors of The Size of The Largest Cluster in One Dimensional Percolation
The Largest Cluster One Dimensional Percolation
2010/11/23
This paper focuses on the asymptotic behaviors of the length of the largest $1$-cluster in a finite iid Bernoulli sequence. We first reveal a critical phenomenon on the length and then study its limit...
On Jiang's asymptotic distribution of the largest entry of a sample correlation matrix
On Jiang's asymptotic distribution correlation matrix
2010/11/19
Let $ \{X, X_{k,i}; i \geq 1, k \geq 1 \}$ be a double array of nondegenerate i.i.d. random variables and let $\{p_{n}; n \geq 1 \}$ be a sequence of positive integers such that $n/p_{n}$ is bounded a...
Modelling the shapes of the largest gravitationally bound objects
Cosmology and Extragalactic Astrophysics (astro-ph.CO)
2011/1/4
We combine the physics of the ellipsoidal collapse model with the excursion set theory to study the shapes of dark matter halos. In particular, we develop an analytic approximation to the nonlinear ev...
Largest Schmidt eigenvalue of entangled random pure states and conductance distribution in chaotic cavities
Largest Schmidt eigenvalue entangled random pure states conductance distribution chaotic cavities
2010/10/21
A strategy to evaluate the distribution of the largest Schmidt eigenvalue for entangled random pure states of bipartite systems is proposed. We point out that the multiple integral defining the sought...
Largest Schmidt eigenvalue of entangled random pure states and conductance distribution in chaotic cavities
Largest Schmidt eigenvalue entangled random pure states conductance distribution
2010/12/15
A strategy to evaluate the distribution of the largest Schmidt eigenvalue for entangled random pure states of bipartite systems is proposed. We point out that the multiple integral defining the sought...
Bounding an index by the largest character degree of a solvable group
Index Character Degree p-radical
2010/12/14
In this paper, we show that if p is a prime and G is a p-solvable group, then |G: Op(G)|p (b(G)p/p)1/(p−1) where b(G) is the largest character degree of G. If p is an odd prime that is not a M...
Wet scavenging of SO2 emissions around India's largest lignite based power plant
Wet scavenging SO2 emissions India's largest lignite based power plant
2010/9/10
The Neyveli Lignite Corporation (NLC) is among the largest lignite based power plants in South East Asia. The four elevated stacks from this power plant emanate a substantial amount of sulphur dioxide...