Jonathan Widom (1955–2011)

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منابع مشابه

On a Conjecture of Widom

i(α ± i +β ± i ) < ∞ and αi , β ± i ≤ const < 1 for all i ≥ 1, is real and lies between 0 and 1. This property of the operator T turns out to be useful in the asymptotic analysis of growing Toeplitz determinants with symbol φ = φ+φ− or, more generally, of the distribution functions of the largest parts of random partitions distributed according to the associated Schur measure. The statement was...

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Discrete Tracy–widom Operators

Abstract Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distribution of large self-adjoint random matrices from the generalized unitary ensembles. This paper considers discrete Tracy–Widom operators, and gives sufficient conditions for a discrete integrable operator to be the square of a Hankel matrix. Examples include the discrete Bessel kerne...

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On a conjecture of Widom

In 1969 Harold Widom published his seminal paper (Widom, 1969) which gave a complete description of orthogonal and Chebyshev polynomials on a system of smooth Jordan curves. When there were Jordan arcs present the theory of orthogonal polynomials turned out to be just the same, but for Chebyshev polynomials Widom’s approach proved only an upper estimate, which he conjectured to be the correct a...

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Goals and Applications Our overall goal is to successfully predict the offensive play-calling decisions of college football coaches. We will attempt to make such predictions on the basis of data from past games and from previous plays in the current game. While there is extensive literature on machine learning in some other sports such as baseball, football has been relatively neglected; furthe...

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ژورنال

عنوان ژورنال: Nature

سال: 2011

ISSN: 0028-0836,1476-4687

DOI: 10.1038/476400a