This is an extended version of my Nobel Lecture, delivered on December 8, 2021. I will
recall the genesis of the concept of multiple equilibria in natural sciences. I will then describe …

Although the atomic structure of amorphous alloys, which lacks long-range translational
symmetry, may appear homogeneous at the macroscopic scale, their local dynamic and/or …

Dynamic relaxation is an intrinsic and universal feature of glasses and enables fluctuation
and dissipation to occur, which induces plentiful behaviour, maintains equilibrium, and …

We combine the swap Monte Carlo algorithm to long multi-CPU molecular dynamics
simulations to analyze the equilibrium relaxation dynamics of model supercooled liquids …

The physics of the glass transition and amorphous materials continues to attract the attention
of a wide research community after decades of effort. Supercooled liquids and glasses have …

Complex materials are composed of basic units which invariably interact with anharmonic
potentials. It is well known that the dynamics of systems with anharmonic interaction are …

When cooled or pressurized, polymer melts exhibit a tremendous reduction in molecular
mobility. If the process is performed at a constant rate, the structural relaxation time of the …

Many questions of fundamental interest in today's science can be formulated as inference
problems: some partial, or noisy, observations are performed over a set of variables and the …

A theoretical perspective is provided on the glass transition in molecular liquids at thermal
equilibrium, on the spatially heterogeneous and aging dynamics of disordered materials …

A great success of solid state physics comes from the characterization of crystal structures in
the reciprocal (wave vector) space. The power of structural characterization in Fourier space …