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Graph C*-algebras, branching systems and the Perron-Frobenius operator
[article]

2014
*
arXiv
*
pre-print

We also show how to describe some

arXiv:0908.1055v2
fatcat:yh6abee5rza47c22nfogtep3fu
*Perron*-Frobenius operators in L^1(X,μ), in terms of the representations we associate to a graph. ... explicitly describes the*Perron*-Frobenius operator P F for a large number of functions. ... In particular, each nonsingular map gives rise to a*Perron*-Frobenius operator on L 1 (X, µ). ...##
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Perron-Frobenius operators and representations of the Cuntz-Krieger algebras for infinite matrices
[article]

2008
*
arXiv
*
pre-print

We use these representations to describe the

arXiv:0808.0835v1
fatcat:nozh75lj5raztklf5okyo6nogm
*Perron*-Frobenius operator, associated to an nonsingular transformation, as an infinite sum and under some hypothesis we find a matrix representation for the ... The*Perron*-Frobenious Operator We now describe the*Perron*-Frobenious operator using the representations introduced in the previous section. ... Then the*Perron*-Frobenius operator restricted to W , P F | W : W → W , has a matrix representation given by A T B, where B is the diagonal infinite matrix with nonzero entries B i,i = b i . ...##
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Paths of matrices with the strong Perron-Frobenius property converging to a given matrix with the Perron-Frobenius property

2009
*
The Electronic Journal of Linear Algebra
*

.; and Szyld,

doi:10.13001/1081-3810.1349
fatcat:4yumob2lprh3nmltcq76eefa4m
*Daniel*B.. (2009), "Paths of matrices with the strong*Perron*-Frobenius property converging to a given matrix with the*Perron*-Frobenius property", Abstract. ... It is known that a matrix A with the*Perron*-Frobenius property can always be the limit of a sequence of matrices A(ε) with the strong*Perron*-Frobenius property such that A − A(ε) ≤ ε. ... Rothblum, and*Daniel*B. ...##
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The Perron method for p-harmonic functions in unbounded sets in R^n and metric spaces
[article]

2016
*
arXiv
*
pre-print

., that their upper and lower

arXiv:1504.06714v2
fatcat:2q46awagabasvoko4y2shobb4q
*Perron*solutions coincide) and that the*Perron*solution coincides with the p-harmonic extension. ... The upper and lower (p-harmonic)*Perron*solutions are studied for p-parabolic open sets. ... The*Perron*method for solving the Dirichlet problem for harmonic functions (on R 2 ) was introduced in 1923 by*Perron*[29] (and independently by Remak [30] ). ...##
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On general matrices having the Perron-Frobenius Property

2008
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The Electronic Journal of Linear Algebra
*

A matrix is said to have the

doi:10.13001/1081-3810.1271
fatcat:dranimce6bc5dhavv2tlrgoaca
*Perron*-Frobenius property if its spectral radius is an eigenvalue with a corresponding nonnegative eigenvector. ... Similarity transformations leaving such sets invariant are completely described, and it is shown that a nonnilpotent matrix eventually capturing the*Perron*-Frobenius property is in fact a matrix that already ... ELA 392 Abed Elhashash and*Daniel*B. Szyld the*Perron*-Frobenius property (section 4). ...##
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Éditorial / Editorial

2015
*
Aporia
*

Éditorial / Editorial

doi:10.18192/aporia.v7i1.3483
fatcat:7uo7e4adkfg7tcfk7lbcc5ruyi
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A Clearer Picture of Blind Deconvolution
[article]

2014
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arXiv
*
pre-print

Blind deconvolution is the problem of recovering a sharp image and a blur kernel from a noisy blurry image. Recently, there has been a significant effort on understanding the basic mechanisms to solve blind deconvolution. While this effort resulted in the deployment of effective algorithms, the theoretical findings generated contrasting views on why these approaches worked. On the one hand, one could observe experimentally that alternating energy minimization algorithms converge to the desired

arXiv:1412.0251v1
fatcat:u4vgx4q44rgprnsjzztcwk5fhm
## more »

... olution. On the other hand, it has been shown that such alternating minimization algorithms should fail to converge and one should instead use a so-called Variational Bayes approach. To clarify this conundrum, recent work showed that a good image and blur prior is instead what makes a blind deconvolution algorithm work. Unfortunately, this analysis did not apply to algorithms based on total variation regularization. In this manuscript, we provide both analysis and experiments to get a clearer picture of blind deconvolution. Our analysis reveals the very reason why an algorithm based on total variation works. We also introduce an implementation of this algorithm and show that, in spite of its extreme simplicity, it is very robust and achieves a performance comparable to the state of the art.##
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Two characterizations of matrices with the Perron-Frobenius property

2009
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Numerical Linear Algebra with Applications
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If A ∈ R n×n has a basic and final class β for which A[β] has a left

doi:10.1002/nla.658
fatcat:xsmvmp2qdrc4ri4cjuolntefgq
*Perron*-Frobenius eigenvector, then A T has the*Perron*-Frobenius property. Corollary 3.8. ... If A ∈ R n×n has two classes α and β, not necessarily distinct, such that: α is basic, initial, and A[α] has a right*Perron*-Frobenius eigenvector β is basic, final, and A[β] has a left*Perron*-Frobenius ... Often the right (or left)*Perron*-Frobenius eigenvector is called a*Perron*eigenvector, or simply a*Perron*vector. ...##
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Reply to F. Perrone et al

2012
*
Journal of Clinical Oncology
*

*Daniel*Mullins Center for Medical Technology Policy; and University of Maryland Baltimore, MD Amy P. ...

*Perrone*et al We appreciate the favorable comments of

*Perrone*et al' and their interest in our article.? We also appreciate the extent of their previous research in related areas. ...

##
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Examples on Perron effects in autonomous discrete systems

2014
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ESAIM Proceedings and Surveys
*

Such examples complete some results from Demir and Koçak for one dimensional systems and prove the appearance of

doi:10.1051/proc/201446001
fatcat:p5gh7kbqcracpccqbfom4pq2ya
*Perron*effects in such systems. ... Ces examples complétent des résultats de Demir et Koçak pour systèmes de dimension un et démontrent l'apparition des effets de*Perron*dans les systèmes. ... In fact the contributions of this paper are examples in discrete dynamical systems of the well known*Perron*effect. ...##
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Graph C⁎-algebras, branching systems and the Perron–Frobenius operator

2012
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Journal of Mathematical Analysis and Applications
*

We also show how to describe the

doi:10.1016/j.jmaa.2012.02.051
fatcat:fedhkvwkbzcpboinyv3yh2qm6a
*Perron*-Frobenius operator of ergodic theory in terms of the representations we associate to a graph. ... In particular, each nonsingular map gives rise to a*Perron*-Frobenius operator on L 1 (X, μ). ... The next theorem shows a relation between this representation and the*Perron*-Frobenius operator P F . Theorem 4.4. ...##
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Motion Deblurring for Plenoptic Images
[article]

2016
*
arXiv
*
pre-print

Motion Deblurring for Plenoptic Images Paramanand Chandramouli, Paolo Favaro and

arXiv:1408.3686v2
fatcat:lm5hjn4eeza6tbn2psy4iorfby
*Daniele**Perrone*Abstract-We address for the first time the issue of motion blur in light field images captured from plenoptic ... E-mail: chandra@iam.unibe.ch, paolo.favaro@iam.unibe.ch,*perrone*@iam.unibe.ch. ...##
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Perron–Frobenius operators and representations of the Cuntz–Krieger algebras for infinite matrices

2009
*
Journal of Mathematical Analysis and Applications
*

Kawamura, The

doi:10.1016/j.jmaa.2008.11.018
fatcat:xx2giq7qvrgrrksowpluuxm3ky
*Perron*-Frobenius operators, invariant measures and representations of the Cuntz-Krieger algebras, J. Math. Phys. 46 (2005) ], for Cuntz-Krieger algebras O A for infinite matrices A. ... We use these representations to describe the*Perron*-Frobenius operator, associated to a nonsingular transformation, as an infinite sum and under some hypothesis we find a matrix representation for the ... The*Perron*-Frobenius operator We now describe the*Perron*-Frobenius operator using the representations introduced in the previous section. Theorem 4.1. ...##
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The Perron method for $$\varvec{p}$$ p -harmonic functions in unbounded sets in $$\mathbf {R}^n$$ R n and metric spaces

2017
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Mathematische Zeitschrift
*

., that their upper and lower

doi:10.1007/s00209-017-1877-0
fatcat:fby6prs7pjaypbfrtxuzi4rsqm
*Perron*solutions coincide), that the*Perron*solution agrees with the p-harmonic extension, and that*Perron*solutions are invariant under perturbation of the function on a ... The*Perron*method for solving the Dirichlet problem for harmonic functions (on R 2 ) was introduced in 1923 by*Perron*[29] (and independently by Remak [30]). ... In order to define*Perron*solutions, we need superharmonic functions. ...##
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L'ISOLAMENTO COME FORMA D'IMPEGNO NEL TEATRO CIVILE DI DANIELE TIMPANO

2020
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Studii si Cercetari Filolgice: Seria Limbi Romanice
*

Nell'ambito di questa produzione, il "narrattore"

doaj:adcc64ef8e914f07a78b797f7aedb0bd
fatcat:rc5img75i5hi3new5enm5ijlxm
*Daniele*Timpano si è fatto artefice di un'operazione unica nel suo genere: nella primavera 2013, quando ricorreva il trentacinquesimo anniversario della ... Dans le cadre de cette production, la démarche artistique de l'acteur-narrateur*Daniele*Timpano s'avère unique en son genre : au printemps 2013, lors du trente-cinquième anniversaire de la mort de Moro ... L'isolamento come strumento di denuncia Nel monologo di*Daniele*Timpano Aldo morto/Tragedia la vicenda dello statista democristiano è affrontata con animo dissacrante, come suggerisce d'emblée il titolo ...
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