Results 11 to 20 of about 953,566 (337)

The Riemann zeta function and Gaussian multiplicative chaos: Statistics on the critical line [PDF]

open access: yesAnnals of Probability, 2016
We prove that if $\omega$ is uniformly distributed on $[0,1]$, then as $T\to\infty$, $t\mapsto \zeta(i\omega T+it+1/2)$ converges to a non-trivial random generalized function, which in turn is identified as a product of a very well behaved random smooth ...
E. Saksman, Christian Webb
semanticscholar   +1 more source

An introduction to statistical learning with applications in R

open access: yesStatistical Theory and Related Fields, 2021
The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics.
Fariha Sohil   +2 more
semanticscholar   +1 more source

Entropic Projections and Dominating Points [PDF]

open access: yes, 2010
Generalized entropic projections and dominating points are solutions to convex minimization problems related to conditional laws of large numbers.
Borwein   +22 more
core   +5 more sources

The mathematics of Benford’s law: a primer [PDF]

open access: yesStatistical Methods & Applications, 2019
This article provides a concise overview of the main mathematical theory of Benford’s law in a form accessible to scientists and students who have had first courses in calculus and probability.
A. Berger, T. Hill
semanticscholar   +1 more source

R.A.Fisher, design theory, and the Indian connection [PDF]

open access: yes, 2009
Design Theory, a branch of mathematics, was born out of the experimental statistics research of the population geneticist R. A. Fisher and of Indian mathematical statisticians in the 1930s.
A R P Rau   +43 more
core   +3 more sources

Opinion Exchange Dynamics [PDF]

open access: yes, 2017
We survey a range of models of opinion exchange. From the introduction: "The exchange of opinions between individuals is a fundamental social interaction...
Mossel, Elchanan, Tamuz, Omer
core   +4 more sources

Probability and Statistics: Theory and Applications

open access: yes, 1990
This is a somewhat extended and modified translation of the third edition of the text, first published in 1969. The Swedish edition has been used for many years at the Royal Institute of Technology in Stockholm, and at the School of Engineering at ...
R. Lock, G. Blom
semanticscholar   +1 more source

On distribution formulas for complex and $\ell$-adic polylogarithms

open access: yes, 2020
We study an $\ell$-adic Galois analogue of the distribution formulas for polylogarithms with special emphasis on path dependency and arithmetic behaviors.
H Gangl   +6 more
core   +1 more source

Spin - or, actually: Spin and Quantum Statistics

open access: yes, 2008
The history of the discovery of electron spin and the Pauli principle and the mathematics of spin and quantum statistics are reviewed. Pauli's theory of the spinning electron and some of its many applications in mathematics and physics are considered in ...
A. Connes   +67 more
core   +3 more sources

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