Theoretical perspective on the glass transition and amorphous materials

L Berthier, G Biroli - Reviews of modern physics, 2011 - APS
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 …

Challenges and opportunities in quantum optimization

A Abbas, A Ambainis, B Augustino, A Bärtschi… - Nature Reviews …, 2024 - nature.com
Quantum computers have demonstrable ability to solve problems at a scale beyond brute-
force classical simulation. Interest in quantum algorithms has developed in many areas …

Critical phenomena in complex networks

SN Dorogovtsev, AV Goltsev, JFF Mendes - Reviews of Modern Physics, 2008 - APS
The combination of the compactness of networks, featuring small diameters, and their
complex architectures results in a variety of critical effects dramatically different from those in …

Statistical physics of inference: Thresholds and algorithms

L Zdeborová, F Krzakala - Advances in Physics, 2016 - Taylor & Francis
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 …

Asymptotic analysis of the stochastic block model for modular networks and its algorithmic applications

A Decelle, F Krzakala, C Moore, L Zdeborová - Physical Review E—Statistical …, 2011 - APS
In this paper we extend our previous work on the stochastic block model, a commonly used
generative model for social and biological networks, and the problem of inferring functional …

The overlap gap property: A topological barrier to optimizing over random structures

D Gamarnik - Proceedings of the National Academy of …, 2021 - National Acad Sciences
The problem of optimizing over random structures emerges in many areas of science and
engineering, ranging from statistical physics to machine learning and artificial intelligence …

Quantum memory at nonzero temperature in a thermodynamically trivial system

Y Hong, J Guo, A Lucas - Nature Communications, 2025 - nature.com
Passive error correction protects logical information forever (in the thermodynamic limit) by
updating the system based only on local information and few-body interactions. A …

Mean-field theory of hard sphere glasses and jamming

G Parisi, F Zamponi - Reviews of Modern Physics, 2010 - APS
Hard spheres are ubiquitous in condensed matter: they have been used as models for
liquids, crystals, colloidal systems, granular systems, and powders. Packings of hard …

[BOOK][B] Spin Glass Theory and Far Beyond: Replica Symmetry Breaking after 40 Years

P Charbonneau, E Marinari, G Parisi, F Ricci-tersenghi… - 2023 - books.google.com
About sixty years ago, the anomalous magnetic response of certain magnetic alloys drew
the attention of theoretical physicists. It soon became clear that understanding these …

Sampling with flows, diffusion, and autoregressive neural networks from a spin-glass perspective

D Ghio, Y Dandi, F Krzakala, L Zdeborová - Proceedings of the National …, 2024 - pnas.org
Recent years witnessed the development of powerful generative models based on flows,
diffusion, or autoregressive neural networks, achieving remarkable success in generating …