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 …

Machine learning (ML) has emerged as a formidable force for identifying hidden but
pertinent patterns within a given data set with the objective of subsequent generation of …

A quantum many-body system whose dynamics includes local measurements at a nonzero
rate can be in distinct dynamical phases, with differing entanglement properties. We …

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 …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

Ecological communities in heterogeneous environments assemble through the combined
effect of species interaction and migration. Understanding the effect of these processes on …

BiFeO3 is perhaps the only material that is both magnetic and a strong ferroelectric at room
temperature. As a result, it has had an impact on the field of multiferroics that is comparable …

This review summarizes recent developments in the theory of spin glasses, as well as
pertinent experimental data. The most characteristic properties of spin glass systems are …

With the high-temperature superconductors a qualitatively new regime in the
phenomenology of type-II superconductivity can be accessed. The key elements governing …

Biomedical nanomagnetics is a multidisciplinary area of research in science, engineering
and medicine with broad applications in imaging, diagnostics and therapy. Recent …