| Records |
| Author |
Arevalo, I.; Hernandez, R.; Martin, M.J.; Vukotic, D. |
| Title |
On weighted compositions preserving the Caratheodory class |
Type |
|
| Year |
2018 |
Publication |
Monatshefte Fur Mathematik |
Abbreviated Journal |
Mon.heft. Math. |
| Volume |
187 |
Issue |
3 |
Pages |
459-477 |
| Keywords |
Functions with positive real part (Caratheodory class); Weighted composition transformation; Angular derivative; Inner functions; Fixed points; 30C45; 47B33 |
| Abstract |
We characterize in various ways the weighted composition transformations which preserve the class P of normalized analytic functions in the disk with positive real part. We analyze the meaning of the criteria obtained for various special cases of symbols and identify the fixed points of such transformations. |
| Address |
[Arevalo, Irina; Vukotic, Dragan] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain, Email: irina.arevalo@uam.es; |
| Corporate Author |
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Thesis |
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| Publisher |
Springer Wien |
Place of Publication |
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Editor |
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| Language |
English |
Summary Language |
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Original Title |
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| Series Editor |
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Series Title |
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Abbreviated Series Title |
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| Series Volume |
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Series Issue |
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Edition |
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| ISSN |
0026-9255 |
ISBN |
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Medium |
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| Area |
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Expedition |
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Conference |
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| Notes |
WOS:000445654000004 |
Approved |
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| Call Number |
UAI @ eduardo.moreno @ |
Serial |
916 |
| Permanent link to this record |
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| Author |
Goles, E.; Ruz, G.A. |
| Title |
Dynamics of neural networks over undirected graphs |
Type |
|
| Year |
2015 |
Publication |
Neural Networks |
Abbreviated Journal |
Neural Netw. |
| Volume |
63 |
Issue |
|
Pages |
156-169 |
| Keywords |
Neural networks; Undirected graphs; Discrete updating schemes; Attractors; Fixed points; Cycles |
| Abstract |
In this paper we study the dynamical behavior of neural networks such that their interconnections are the incidence matrix of an undirected finite graph G = (V, E) (i.e., the weights belong to {0, 1}). The network may be updated synchronously (every node is updated at the same time), sequentially (nodes are updated one by one in a prescribed order) or in a block-sequential way (a mixture of the previous schemes). We characterize completely the attractors (fixed points or cycles). More precisely, we establish the convergence to fixed points related to a parameter alpha(G), taking into account the number of loops, edges, vertices as well as the minimum number of edges to remove from E in order to obtain a maximum bipartite graph. Roughly, alpha(G') < 0 for any G' subgraph of G implies the convergence to fixed points. Otherwise, cycles appear. Actually, for very simple networks (majority functions updated in a block-sequential scheme such that each block is of minimum cardinality two) we exhibit cycles with nonpolynomial periods. (C) 2014 Elsevier Ltd. All rights reserved. |
| Address |
[Goles, Eric; Ruz, Gonzalo A.] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Santiago, Chile, Email: eric.chacc@uai.cl; |
| Corporate Author |
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Thesis |
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| Publisher |
Pergamon-Elsevier Science Ltd |
Place of Publication |
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Editor |
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| Language |
English |
Summary Language |
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Original Title |
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| Series Editor |
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Series Title |
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Abbreviated Series Title |
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| Series Volume |
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Series Issue |
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Edition |
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| ISSN |
0893-6080 |
ISBN |
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Medium |
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| Area |
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Expedition |
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Conference |
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| Notes |
WOS:000349730800015 |
Approved |
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| Call Number |
UAI @ eduardo.moreno @ |
Serial |
460 |
| Permanent link to this record |
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| Author |
Goles, E.; Montealegre, P.; Vera, J. |
| Title |
Naming Game Automata Networks |
Type |
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| Year |
2016 |
Publication |
Journal Of Cellular Automata |
Abbreviated Journal |
J. Cell. Autom. |
| Volume |
11 |
Issue |
5-6 |
Pages |
497-521 |
| Keywords |
Automata networks; cellular automata; majority functions; energy operator; naming game; fixed points; limit cycles |
| Abstract |
In this paper we introduce automata networks to model some features of the emergence of a vocabulary related with the naming game model. We study the dynamical behaviour (attractors and convergence) of extremal and majority local functions. |
| Address |
[Goles, Eric; Vera, Javier] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Avda Diagonal Las Torres 2640, Santiago, Chile, Email: eric.chacc@uai.cl; |
| Corporate Author |
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Thesis |
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| Publisher |
Old City Publishing Inc |
Place of Publication |
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Editor |
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| Language |
English |
Summary Language |
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Original Title |
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| Series Editor |
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Series Title |
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Abbreviated Series Title |
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| Series Volume |
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Series Issue |
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Edition |
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| ISSN |
1557-5969 |
ISBN |
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Medium |
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| Area |
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Expedition |
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Conference |
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| Notes |
WOS:000382426500007 |
Approved |
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| Call Number |
UAI @ eduardo.moreno @ |
Serial |
649 |
| Permanent link to this record |
