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 …

Lattice glass models

G Biroli, M Mézard - Physical review letters, 2001 - APS
Motivated by the concept of geometrical frustration, we introduce a class of statistical
mechanics lattice models for the glass transition. Monte Carlo simulations in three …

Gibbs measures and phase transitions on sparse random graphs

A Dembo, A Montanari - 2010 - projecteuclid.org
Many problems of interest in computer science and information theory can be phrased in
terms of a probability distribution over discrete variables associated to the vertices of a large …

Optimizing searches via rare events

A Montanari, R Zecchina - Physical review letters, 2002 - APS
Randomized search algorithms for hard combinatorial problems exhibit a large variability of
performances. We study the different types of rare events which occur in such out-of …

Quantum sampling algorithms for near-term devices

DS Wild, D Sels, H Pichler, C Zanoci, MD Lukin - Physical Review Letters, 2021 - APS
Efficient sampling from a classical Gibbs distribution is an important computational problem
with applications ranging from statistical physics over Monte Carlo and optimization …

Glass models on Bethe lattices

O Rivoire, G Biroli, OC Martin, M Mézard - The European Physical Journal …, 2004 - Springer
We consider “lattice glass models” in which each site can be occupied by at most one
particle, and any particle may have at most ℓ occupied nearest neighbors. Using the cavity …

Core percolation in random graphs: a critical phenomena analysis

M Bauer, O Golinelli - The European Physical Journal B-Condensed …, 2001 - Springer
We study both numerically and analytically what happens to a random graph of average
connectivity α when its leaves and their neighbors are removed iteratively up to the point …

Quantum sampling algorithms, phase transitions, and computational complexity

DS Wild, D Sels, H Pichler, C Zanoci, MD Lukin - Physical Review A, 2021 - APS
Drawing independent samples from a probability distribution is an important computational
problem with applications in Monte Carlo algorithms, machine learning, and statistical …

[SÁCH][B] Computational complexity and statistical physics

A Percus, G Istrate, C Moore - 2006 - books.google.com
Computer science and physics have been closely linked since the birth of modern
computing. In recent years, an interdisciplinary area has blossomed at the junction of these …

Edge orientation for optimizing controllability of complex networks

YD **ao, SY Lao, LL Hou, L Bai - Physical Review E, 2014 - APS
Recently, as the controllability of complex networks attracts much attention, how to design
and optimize the controllability of networks has become a common and urgent problem in …