Nonstationary Systems and Point Evaluation

1998 ◽  
pp. 363-382
Author(s):  
C. Foias ◽  
A. E. Frazho ◽  
I. Gohberg ◽  
M. A. Kaashoek
Keyword(s):  
Point Evaluation ◽  
Nonstationary Systems

scholarly journals Sampling rare events in nonequilibrium and nonstationary systems

2010 ◽  
Vol 133 (24) ◽  
pp. 244101 ◽  
Author(s):  
Joshua T. Berryman ◽  
Tanja Schilling
Keyword(s):  
Rare Events ◽  
Nonstationary Systems

scholarly journals Matrix integrals & finite holography

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Dionysios Anninos ◽  
Beatrix Mühlmann
Keyword(s):  
Critical Exponents ◽  
Continuum Theory ◽  
Point Of View ◽  
Leading Order ◽  
Minimal Models ◽  
Point Evaluation ◽  
Brst Cohomology ◽  
Matrix Integrals ◽  
The Matrix ◽  
The Continuum

Abstract We explore the conjectured duality between a class of large N matrix integrals, known as multicritical matrix integrals (MMI), and the series (2m − 1, 2) of non-unitary minimal models on a fluctuating background. We match the critical exponents of the leading order planar expansion of MMI, to those of the continuum theory on an S2 topology. From the MMI perspective this is done both through a multi-vertex diagrammatic expansion, thereby revealing novel combinatorial expressions, as well as through a systematic saddle point evaluation of the matrix integral as a function of its parameters. From the continuum point of view the corresponding critical exponents are obtained upon computing the partition function in the presence of a given conformal primary. Further to this, we elaborate on a Hilbert space of the continuum theory, and the putative finiteness thereof, on both an S2 and a T2 topology using BRST cohomology considerations. Matrix integrals support this finiteness.

Essential Norm and Weak Compactness of Composition Operators on Weighted Banach Spaces of Analytic Functions

1999 ◽  
Vol 42 (2) ◽  
pp. 139-148 ◽  
Author(s):  
José Bonet ◽  
Paweł Dománski ◽  
Mikael Lindström
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Analytic Functions ◽  
Composition Operators ◽  
Essential Norm ◽  
Weak Compactness ◽  
Weakly Compact ◽  
Point Evaluation ◽  
Weighted Banach Spaces ◽  
Spaces Of Analytic Functions

AbstractEvery weakly compact composition operator between weighted Banach spaces of analytic functions with weighted sup-norms is compact. Lower and upper estimates of the essential norm of continuous composition operators are obtained. The norms of the point evaluation functionals on the Banach space are also estimated, thus permitting to get new characterizations of compact composition operators between these spaces.

Quasidifferentiability and observability of linear nonstationary systems

2009 ◽  
Vol 45 (11) ◽  
pp. 1602-1611 ◽  
Author(s):  
A. I. Astrovskii ◽  
I. V. Gaishun
Keyword(s):  
Nonstationary Systems

scholarly journals Shape derivative of cost function for singular point: Evaluation by the generalized J integral

JSIAM Letters ◽  
2014 ◽  
Vol 6 (0) ◽  
pp. 29-32 ◽  
Author(s):  
Hideyuki Azegami ◽  
Kohji Ohtsuka ◽  
Masato Kimura
Keyword(s):  
Singular Point ◽  
Cost Function ◽  
Shape Derivative ◽  
J Integral ◽  
Point Evaluation

Surrogate modeling of nonstationary systems with uncertain properties

2015 ◽  
pp. 4079-4087 ◽  
Author(s):  
L Avendaño-Valencia ◽  
E Chatzi ◽  
M Spiridonakos
Keyword(s):  
Surrogate Modeling ◽  
Nonstationary Systems
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