We open the first CUWB probability workshop integrating the University of Warwick probability group, as well as recognising the new probability group at the Universidad del Mar that has formed in Mexico. A diverse range of themes from probability will be delivered and the event will be hosted at Huatulco on the Pacific coast in the state of Oaxaca.

Recent progress in quantitative analysis of multiscale media

The meeting will focus on recent progress in analytical techniques for the analysis of composite media, where the presence of a contrast in either geometric or material features of the problem leads to "non-classical" effective descriptions. In particular the meeting will feature a discussion of the behaviour of fluid-solid structures, where one additionally faces a change in the momentum balance equations as well as the interface conditions between different components within the composite.

BUC Probability is Back! (CIMAT)

This meeting will take place at CIMAT, in Guanajuato, from the 16th to the 20th of January 2023. The focus will be on common interests between researchers in the BUC communit. The meeting consists of three graduate minicourses, some talks by researchers from Latin America and Europe, as well as shorter talks by students from all participating countries.

Explicitly solvable models and their applications to current challenges in mechanics and wave propagation

The meeting focuses on modelling the behaviour of highly heterogeneous media using "explicitly solvable" formulations. The related approximation error and the implications of such formulations on spectral properties and wave propagation will span the range of the discussion topics.

Threshold phenomena in spectral analysis and their applications to waves and tectonics (UMAR & IIMAS-UNAM)

The event consist of two parts: the school in UMAR, Huatulco on 12-15 July 2022 and the workshop in IIMAS, UNAM, Mexico City on 18-22 July 2022. The meeting will focus on new mathematical approaches to the threshold phenomena in spectral analysis and scattering theory, as well as their applications to wave propagation. These include the behaviour under perturbations of eigenvalues embedded in continuous spectra of operators, homogenisation of differential equations with periodic coefficients (describing composite media with moderate as well as high contrast between components), and the spectral analysis of thin and laminated structures. Throughout the workshop, analytical techniques will be discussed in the context of modelling seismic phenomena, through the analysis of tectonic plate motion in the vicinity of contact discontinuities and its effect on the displacement of the earth's surface.