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Phase transition creates the geometry of the continuum from discrete space

RFR. FarrTFT. Fink Physical Review E

Geometry of discrete space

A phase transition creates the geometry of the continuum from discrete space, but it needs disorder if it is to have the right metric.

Maximum one-shot dissipated work from Rényi divergences

ODO. DahlstenNHAGVV Physical Review E

One-shot statistic

One-shot analogs of fluctuation-theorem results help unify these two approaches for small-scale, nonequilibrium statistical physics.

Enhanced capital-asset pricing model for bipartite financial networks reconstruction

GCG. CaldarelliTSGC Physical Review E

Enhanced capital-asset pricing model for bipartite financial networks reconstruction

The challenge of statistical reconstruction is using the limited available information to predict stock holdings.

Grand canonical validation of the bipartite international trade network

GCG. CaldarelliMSFS Physical Review E

Bipartite trade network

A new algorithm unveils complicated structures in the bipartite mapping between countries and products of the international trade network.

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1 Physical Review E

Spectral partitioning

The spectral density of graph ensembles provides an exact solution to the graph partitioning problem and helps detect community structure.

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3 Physical Review E

Dynamics of memristors

Exact equations of motion provide an analytical description of the evolution and relaxation properties of complex memristive circuits.

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2 Physical Review E

Optimal counter-current exchange networks

A general analysis of exchange devices links their efficiency to the geometry of the exchange surface and supply network.

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4 Physical Review E

Optimal growth rates

An extension of the Kelly criterion maximises the growth rate of multiplicative stochastic processes when limited resources are available.

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3 Physical Review E

Communities in networks

A new tool derived from information theory quantitatively identifies trees, hierarchies and community structures within complex networks.

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3 Physical Review E

Structural imperfections

Fractal structures need very little mass to support a load; but for current designs, this makes them vulnerable to manufacturing errors.

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3 Physical Review E

Hierarchical structures

We show that self-similar fractal structures exhibit new strength-to-mass scaling relations, offering unprecedented mechanical efficiency.

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4 Physical Review E

Weighted network evolution

A statistical procedure identifies dominant edges within weighted networks to determine whether a network has reached its steady state.

2 Physical Review E

Unbiased randomization

Unbiased randomisation processes generate sophisticated synthetic networks for modelling and testing the properties of real-world networks.

5 Physical Review E

Assessing self-assembly

The information needed to self-assemble a structure quantifies its modularity and explains the prevalence of certain structures over others.

2 Physical Review E

Ever-shrinking spheres

Techniques from random sphere packing predict the dimension of the Apollonian gasket, a fractal made up of non-overlapping hyperspheres.