Quantum Markov Semigroups in Analysis, Physics and Probability (15w5086)


(Politecnico di Milano)

Roberto Quezada (Universidad Autónoma Metropolitana, Iztapalapa Campus)

Stephen Sontz (CIMAT)

Aurel Stan (Ohio State University at Marion)


The Casa Matemática Oaxaca (CMO) will host the "Quantum Markov Semigroups in Analysis, Physics and Probability" workshop from August 23rd to August 28th, 2015.

Quantum Markov semigroups, also called quantum dynamical semigroups, were introduced in the seventies to model the non-unitary evolution of quantum systems interacting with the external environment. From the mathematical point of view they are semigroups of positive (or completely positive) maps on an operator algebra continuous in the time variable with respect to some natural topology. They have been studied also as mathematical generalization of classical Markov semigroups, namely, semigroups on commutative algebras of continuous functions.

Nowadays their applications to quantum open systems, non-equilibrium phenomena (entropy methods), decoherence, quantization and orthogonal polynomials, (interacting) Fock spaces, and other related topics, play a key role and they will serve as a focal point for the present workshop.

The Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry.

The research station in Banff is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT). The research station in Oaxaca is funded by CONACYT.