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Critical phenomena in complex networks
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 …
complex architectures results in a variety of critical effects dramatically different from those in …
Lattice glass models
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 …
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 …
terms of a probability distribution over discrete variables associated to the vertices of a large …
Optimizing searches via rare events
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 …
performances. We study the different types of rare events which occur in such out-of …
Quantum sampling algorithms for near-term devices
Efficient sampling from a classical Gibbs distribution is an important computational problem
with applications ranging from statistical physics over Monte Carlo and optimization …
with applications ranging from statistical physics over Monte Carlo and optimization …
Glass models on Bethe lattices
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 …
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 …
connectivity α when its leaves and their neighbors are removed iteratively up to the point …
Quantum sampling algorithms, phase transitions, and computational complexity
Drawing independent samples from a probability distribution is an important computational
problem with applications in Monte Carlo algorithms, machine learning, and statistical …
problem with applications in Monte Carlo algorithms, machine learning, and statistical …
[SÁCH][B] Computational complexity and statistical physics
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 …
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 …
and optimize the controllability of networks has become a common and urgent problem in …