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CIRM – Centre International de Rencontres Mathématiques

Ergodic optimization is a general framework in dynamical system where an observable is understood through its minimum over the set of invariant probability measures. A measure that attained that minimum is called minimizing. The general question is to understand the set of minimizing measures and more generally the set of minimizing orbits. One possible approach is to see minimizing measures as ground states, that is as limits of Gibbs measures at zero temperature. Gibbs measures are eigensolutions of the Ruelle operator or the transfer operator. We intend to study such questions in the framework of skew products of dynamical systems where the base dynamics is random (ergodic and invertible) and the fiber dynamics is a composition of maps indexed by a random environment. The problem of optimizing an observable in a random environment is new and has not yet been studied.

The MIP European Workshop 2025 is supported by the Mixed Integer Programming Society (MIPS), a section of the Mathematical Optimization Society (MOS).

The Mixed Integer Programming (MIP) Workshop is a single-track workshop highlighting the latest trends in integer programming and discrete optimization, with speakers chosen by invitation. It brings together researchers, students, and industry actors from around the globe, fostering collaboration and providing a showcase for students, early career academics, and developments in industry and novel applications. In this edition, we are putting a special focus on bringing a considerable number of speakers based in different countries of South America.

The MIP European Workshop is part of the MIP International Workshop series, held in addition to the classical MIP Workshop.

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