J. Bao

O. Foda

 Y. He

E. Hirst

J. Read

Y. Xiao

F. Yagi 

Links between special bipartite graphs, dessins d’enfants, and a particular supersymmetric Yang-Mills theory extend also to conformal field theory.

Dessins d’enfants, Seiberg-Witten curves and conformal blocks

Drawing conformal field theory

P. Barucca

T. Mahmood

L. Silvestri

Fire sales of common asset holdings can whip through a channel of contagion between banks, insurance companies and investments funds.

Common asset holdings and systemic vulnerability across multiple types of financial institution

Channels of contagion

S. M. Krause

H. Štefančić

G. Caldarelli

V. Zlatić

Networks where risky banks are mostly exposed to other risky banks have higher levels of systemic risk than those with stable bank interactions.

Controlling systemic risk: Network structures that minimize it and node properties to calculate it

Risky bank interactions

S. A. Jawad

L. Baú

T. Alaguthurai

I. del Molino del Barrio

A. G. Laing

T. S. Hayday

L. Monin

M. Muneoz-Ruiz

L. McDonald

I. F. Quijorna

D. McKenzie

R. Davis

A. Lorenc

J. Nuo En Chan

S. Ryan

E. Bugallo-Blanco

R. Yorke

S. Kamdar

M. Fish

I. Zlatareva

P. Vantourout

A. Jennings

S. Gee

K. Doores

K. Bailey

S. Hazell

J. De Naurois

Ch. Moss

B. Russell

A. A. Khan

M. Rowley

R. Benjamin

D. Enting

D. Alrifai

Y. Wu

Y. Zhou

Cancer patients who contract and recover from Coronavirus-2 exhibit long-term immune system weaknesses, depending on the type of cancer.

Acute immune signatures and their legacies in severe acute respiratory syndrome coronavirus-2 infected cancer patients

Cancer and coronavirus

T. Fink

M. Kotter

As the maximum age of a population decreases, it grows slower but converges faster, favouring programmed death in a changing environment.

Aging is favored by natural selection in a changing environment

I want to be forever young

The fraction of logics that are biologically permitted can be bounded and shown to be tiny, which makes inferring them from experiments easier.

On the number of biologically valid logics

Biological logics are restricted

R. Hannam

The bipartite nature of genetic regulatory networks means their logics are composed, which severely restricts which ones can show up in life.

Composition of Boolean functions restricts biologically permitted logics

In life, there are few rules

M. Bardoscia

S. Battiston

F. Caccioli

G. Cimini

D. Garlaschelli

F. Saracco

T. Squartini

Statistical physics contributes to new models and metrics for the study of financial network structure, dynamics, stability and instability.

The physics of financial networks

M.Serafinoa

A. Maritan

A. Rinaldo

S.Suweis

J. R. Banavar

Naturally occurring networks have an underlying scale-free structure that is often clouded by finite-size effects in the sample data.

True scale-free networks hidden by finite size effects

True scale-free networks

F. Aguirre López

A. Coolen

The generation of large graphs with a controllable number of short loops paves the way for building more realistic random networks.

Transitions in loopy random graphs with fixed degrees and arbitrary degree distributions

Transitions in loopy graphs

A. Mozeika

F. Aguirre Lopez

 M. Sheikh

 F. Antenucci

Exact methods supersede approximations used in high-dimensional linear regression to find correlations in statistical physics problems.

Exact results on high-dimensional linear regression via statistical physics

Exact linear regression

R. Farr

Rapid temperature cycling from one extreme to another affects the rate at which the mean particle size in solid or liquid solutions changes.

Coarsening without interfacial energy

Microstructural coarsening

Parallels between the perfect and abundant numbers and their recursive analogs point to deeper structure in the recursive divisor function.

Recursively abundant and recursively perfect numbers

Ample and pristine numbers

M. D’Errico

G. Visentin

Consistent valuation of interbank claims within an interconnected financial system can be found with a recursive update of banks' equities.

Network valuation in financial systems

B. Li

D. Saad

The ability of deep neural networks to generalize can be unraveled using path integral methods to compute their typical Boolean functions.

The space of functions computed by deep layered machines

Deep layered machines

M. Sheikh

F. Aguirre-Lopez

F. Antenucci

Statistical methods that normally fail for very high-dimensional data can be rescued via mathematical tools from statistical physics.

Replica analysis of overfitting in generalized linear models

Replica analysis of overfitting

S. E. Ahnert

The structural properties of a network motif predict its functional versatility and relate to gene regulatory networks.

Form and function in gene regulatory networks

Form and function in gene networks

M. Reeves

S. Levin

A. Levina

Insights from biology, physics and business shed light on the nature and costs of complexity and how to manage it in business organizations.

Taming complexity

Recursively divisible numbers are a new kind of number that are highly divisible, whose quotients are highly divisible, and so on.

Recursively divisible numbers

T. Coolen

We optimize Bayesian data clustering by mapping the problem to the statistical physics of a gas and calculating the lowest entropy state.

Replica analysis of Bayesian data clustering

Replica clustering

I. Teimouri

A theoretical model of recursive innovation suggests that new technologies are recursively built up from new combinations of existing ones.

The mathematical structure of innovation

Recursive structure of innovation

F. Vanni

A mathematical model captures the temporal and steady state behaviour of  networks whose two sets of nodes either generate or destroy links.

Degree-correlations in a bursting dynamic network model

Bursting dynamic networks

A. Scala

A. Facchini

U. Perna

R. Basosi

Modern portfolio theory inspires a strategy for allocating renewable energy sources which minimises the impact of production fluctuations.

Portfolio analysis and geographical allocation of renewable sources: A stochastic approach

Renewable resource management

F. Liu

Y. Zhang

O. Dahlsten

F. Wang

Machine learning techniques enhance the efficiency of energy harvesters by implementing reversible energy-conserving operations.

Intelligently chosen interventions have potential to outperform the diode bridge in power conditioning

Energy harvesting with AI

J. Balogh

B. Bollobas

B. Narayanan

A random analogue of the Erdős-Ko-Rado theorem sheds light on its stability in an area of parameter space which has not yet been explored.

Transference for the Erdős-Ko-Rado theorem

Erdős-Ko-Rado theorem analogue

S. Talaganis

The number of particles in a higher derivative theory of gravity relates to its effective mass scale, which signals the theory’s viability.

Scale of non-locality for a system of n particles

Scale of non-locality

Y. Mao

The topological structure of tie knots categorises them by shape, size and aesthetic appeal and defines the sequence of knots to produce them.

Tie knots, random walks and topology

Tie knots and topology

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

Phase transition creates the geometry of the continuum from discrete space

Geometry of discrete space

A. Zegarac

F. Caravelli

A simple solvable model of memristive networks suggests a correspondence between the asymptotic states of memristors and the Ising model.

Memristive networks: from graph theory to statistical physics

Memristive networks

A. Gabrielli

Statistical physics harnesses links between maximum entropy and information theory to capture null model and real-world network features. 

The statistical physics of real-world networks

Physics of networks

The distribution of product complexity helps explain why some technology sectors tend to exhibit faster innovation rates than others.

How much can we influence the rate of innovation?

The rate of innovation

N. Halpern

A. Garner

V. Vedral

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

Maximum one-shot dissipated work from Rényi divergences

One-shot statistic

Network users who have access to the network’s most informative node, as quantified by a novel index, the InfoRank, have a competitive edge.

Tackling information asymmetry in networks: a new entropy-based ranking index

Information asymmetry

D. Branford

An explicit recipe for defining the Hamiltonian in general probabilistic theories, which have the potential to generalise quantum theory.

On defining the Hamiltonian beyond quantum theory

A Hamiltonian recipe

Acute immune signatures and their legacies in severe acute respiratory syndrome coronavirus-2 infected cancer patients

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Multitasking immune networks

Multi-tasking in immune networks