Rolando Rebolledo Berroeta

Universidad de Valparaiso, Instituto de Ingeniería Maítemática, Faculty Member

Pontificia Universidad Catolica de Chile, Engineering, Faculty Member

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Mathematical Engineer by the Universidad de Chile, got his “Doctorat d’État ès-Sciences” at the University Pierre et Marie Curie (Paris VI). He has been a Professor at the University Paris-Sud and Full Professor at the Universidad Católica de Chile in Santiago from 1981 until 2016. He is at present Full Professor at the Universidad de Valparaíso. He has been Visiting Professor at many foreign universities, including Copenhagen, Lundt, Rome, Genoa, Messina, Lisbon, Dresden, Weierstrass Institute, Steklov Institute of the Russian Academy of Sciences, Australian National University, Louisiana State University, Simon Bolivar, IMPA (Rio de Janeiro), Saõ-Paulo, Reims, Max Planck Institute. Rebolledo is a founding member of the Mathematical Society of Chile and has presided over it frequently. He is also a member of several international scientific societies: the Bernoulli Society, of which he was a member of its Board of Directors
Address: Santiago, Region Metropolitana, Chile

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University of Wollongong

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The University of Texas at Austin

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University of Memphis

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UNL - New University of Lisbon

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Università di Bologna

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Universidad Complutense de Madrid

José Santos-Herceg

Universidad de Santiago de Chile

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Universidad de Santiago de Chile

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Papers by Rolando Rebolledo Berroeta

Teoría de la medida e integración

La innovación: ¿fetiche económico o sinónimo de creatividad?

El diccionario de la RAE indica que “innovar’’ es “mudar o alterar algo, introduciendo novedades’... more El diccionario de la RAE indica que “innovar’’ es “mudar o alterar algo, introduciendo novedades’’. Entonces, ?cual es el sentido de la novedad, de la emergencia de un nuevo conocimiento? ?Como distinguir cuando una nueva idea constituye una innovacion? La especie humana conoce y genera ideas en un sostenido proceso de mutua transformacion con la naturaleza, no exento de discontinuidades que marcan rupturas de equilibrio, negando los obstaculos epistemologicos de las viejas teorias, o puntos de “no retorno” (Bachelard 1938). Desde esa perspectiva, planteando el acto creativo como propio de la dinamica de un sistema abierto, se puede buscar un sentido mas amplio a la innovacion.

What Is the Species Richness Distribution?

Unsolved Problems in Ecology, 2020

Propiedades Limites De Los Procesos Markovianos Cuanticos

Entropy Functionals in Quantum Probability

La innovación, ¿fetiche económico o sinónimo de creatividad?

Entropy Production for Quantum Markov Semigroups

An invariant state of a quantum Markov semigroup is an equilibrium state if it satisfies a quantu... more An invariant state of a quantum Markov semigroup is an equilibrium state if it satisfies a quantum detailed balance condition. In this paper, we introduce a notion of entropy production for faithful normal invariant states of a quantum Markov semigroup on B(h) as a numerical index measuring "how much far" they are from equilibrium. The entropy production is defined as the derivative of the relative entropy of the one-step forward and backward evolution in analogy with the classical probabilistic concept. We prove an explicit trace formula expressing the entropy production in terms of the completely positive part of the generator of a norm continuous quantum Markov semigroup showing that it turns out to be zero if and only if a standard quantum detailed balance condition holds.

Rolando Rebolledo Berroeta

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