Výsledky vyhledávání - "Walsh, Nathan P"

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Norms of polynomials of the Volterra operator

We compute the operator norm of real-quadratic polynomials of the Volterra operator. This is used to test whether the Crouzeix conjecture holds for the Volterra operator.
Comment: 14 pages, 8 figures

Externí odkaz: http://arxiv.org/abs/2206.09947

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A four-mean theorem and its application to pseudospectra

Autor: Ransford, Thomas, Walsh, Nathan

Let $N\ge 4$. We show that, if $x_1,\dots,x_N$ and $y_1,\dots,y_N$ are $N$-tuples of strictly positive numbers whose arithmetic, geometric and harmonic means agree, then \[ \max_j x_j <(N-2)\max_j y_j \quad\text{and}\quad \min_j x_j <(N-2)\min_j y_j.

Externí odkaz: http://arxiv.org/abs/2109.14472

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Akademický článek

Specificity and structural characterization of the PDZ domain from DegS, an extracytoplasmic E. coli protease

Autor: Walsh, Nathan P. (Nathan Peter), 1973

Thesis: Ph. D., Massachusetts Institute of Technology, Department of Biology, February 2002
Includes bibliographical references (p. 87-95).
DegS is a membrane-bound bacterial protease that is involved in the extracytoplasmic-stress response

Externí odkaz: https://hdl.handle.net/1721.1/157629

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Spectral sets, extremal functions and exceptional matrices

Autor: Ransford, Thomas, Walsh, Nathan

Let $A$ be a square matrix and let $\Omega$ be an open set in the plane containing the spectrum of $A$. We consider the problem of maximizing the operator norm $\|f(A)\|$ amongst all holomorphic functions $f$ from $\Omega$ into the closed unit disk.

Externí odkaz: http://arxiv.org/abs/2011.02845

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Real-time shape approximation and 5-D fingerprinting of single proteins

Autor: Yusko, Erik C., Bruhn, Brandon R., Eggenberger, Olivia, Houghtaling, Jared, Rollings, Ryan C., Walsh, Nathan C., Nandivada, Santoshi, Pindrus, Mariya, Hall, Adam R., Sept, David, Li, Jiali, Kalonia, Devendra S., Mayer, Michael

This work exploits the zeptoliter sensing volume of electrolyte-filled nanopores to determine, simultaneously and in real time, the approximate shape, volume, charge, rotational diffusion coefficient, and dipole moment of individual proteins. We have

Externí odkaz: http://arxiv.org/abs/1510.01935

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