The KCL Disordered Systems Group

The KCL Disordered Systems Group

Department of Mathematics

King's College London

The Disordered Systems group at King’s is at the forefront of research in statistical mechanics of disordered and complex systems. The research of the group concentrates on the development of new methods to tackle both fundamental issues, for example in non-equilibrium systems, and a broad range of applications to complex systems of many interacting units. The latter include mathematical systems biology and quantitative medicine (protein, metabolic and immune networks & network ensembles) as well as links with statistics and informatics in the area of Bayesian statistical inference and machine learning. The group also has a strong profile in soft condensed matter physics (rheology, polydispersity), glasses and driven non-equilibrium systems. Recent work has led to the development of new models to describe natural and social phenomena, such as systemic risk and catastrophic breakdown in complex systems, with applications to finance and the prediction of power outages. Random matrix theory has become an increasingly important area, studied using extensions of methods for sparse networks.

Education

The CANES seminar series

The CANES seminar series

The seminar page of the EPSRC Centre for Doctoral Training in Cross-Disciplinary Approaches to Non-Equilibrium Systems (CANES).

MSc Complex System Modelling

MSc Complex System Modelling

The Complex Systems Modelling MSc – from Biomedical & Natural to Economic & Social Sciences course will teach you to apply mathematical techniques in the rapidly developing and exciting interdisciplinary field of complex systems and examine how they apply to a variety of areas including biomedicine, nature, economics and social sciences. This research-led course is suitable for graduates who wish to work in research and development in an academic or industrial environment.

Apply to the KCL MPhil/PhD Mathematics Program

Apply to the KCL MPhil/PhD Mathematics Program

KCL Mathematics department produces excellent or world-leading research in terms of originality, significance and rigour. Join KCL for your postgraduate studies!

News & Events

Last news from the group: conferences, workshops and publications

Welcoming the 2021 Nobel Prize for Physics to Giorgio Parisi

Welcoming the 2021 Nobel Prize for Physics to Giorgio Parisi

Giorgio Parisi has been awarded the 2021 Physics Nobel Prize for the discovery of the interplay of disorder and fluctuations in physical systems from atomic to planetary scales.

Random Matrix Theory and Networks Workshop

Random Matrix Theory and Networks Workshop

Izaak Neri will be a scientific coordinator of the virtual workshop organized at MPI, that aims to bring together researchers working on random matrix theory and complex systems. 7-18 June 2021. Apply!

Gioia Boschi awarded Bronze for Disordered Systems presentation at STEM for Britain

Gioia Boschi awarded Bronze for Disordered Systems presentation at STEM for Britain

Gioia, a CANES PhD student in the Disordered Systems group, has been awarded a Bronze medal at STEM for Britain in recognition of the excellence of her research on modelling the emergence of collective memory in societies.

Meet the group

Faculty

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Yan Fyodorov

Chair in Disordered Systems

Statistical Mechanics of Disordered Systems, Statistical Topology of Random Landscapes and Fields, Extremes of Random Processes, Anderson Localization, Quantum Chaotic Scattering

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Reimer Kühn

Professor of Statistical Physics

Low Temperature Properties of Glasses, Phase Transitions in Disordered Systems, Neural Networks, Risk Modeling, Random Matrices, Networks

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Benjamin Doyon

Professor of Theoretical Physics

Integrable quantum field theory, Conformal field theory, Entanglement entropy and out-of-equilibrium quantum systems

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Peter Sollich

Professor of Statistical Mechanics

Non-equilibrium statistical mechanics, Soft matter, Systems biology, Bayesian inference, Random Matrices, Econophysics

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Tiziana di Matteo

Professor of Econophysics

Econophysics, Application of methods from Statistical Physics to Finance, Data Analytics, Complex Systems, Science of Networks

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Pierpaolo Vivo

Reader in Disordered Systems

Random matrix theory, Applications of statistical physics to socio-economical sciences

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Alessia Annibale

Senior Lecturer in Disordered Systems

Theory of spin glasses, Out of equilibrium dynamics, Real world networks, Graph dynamics, Stochastic processes

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Izaak Neri

Lecturer in Disordered Systems

Non-equilibrium thermodynamics, Sparse non-Hermitian random matrices, Sequential hypothesis testing, Dynamics of receptors on membranes, Transport processes through networks, Dynamics of spin models on graphs, Neural networks

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Gabriele Sicuro

Lecturer in Disordered Systems

Random combinatorial problems, Inference, Assignment and transportation problems

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Paola Ruggiero

Lecturer in Disordered Systems

Entanglement measures in many-body systems, QFT methods, Disordered many-body systems

Postdoctoral researchers

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Bertrand Lacroix-A-Chez-Toine

Postdoctoral researcher

Extreme value statistics, Rare events, Large deviations, RMT, Coulomb gas, Random landscapes, Random walks, Brownian motion, Branching processes, Active processes, Fluctuations in non-equilibrium systems

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Evangelos Tzanis

Postdoctoral researcher

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Tim Würfel

Postdoctoral researcher

Quantum chromodynamics and Lattice gauge theory, Statistical Mechanics of Disordered Systems, Quantum Chaos and Scattering, Random Landscapes and Fields, Anderson Localisation

PhD Students

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Giorgio Carugno

PhD Student

Working with Izaak Neri and Pierpaolo Vivo

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Christian Hurry

PhD Student

Working with Alessia Annibale

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Friedrich Hübner

PhD Student

Working with Benjamin Doyon and Paola Ruggero

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Giuseppe Torrisi

PhD Student

Working with Alessia Annibale and Reimer Kühn

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Gyeong-Gyun Ha

PhD Student

Working with Izaak Neri

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Luca Gamberi

PhD Student

Working with Pierpaolo Vivo

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Mark Crumpton

PhD Student

Working with Yan Fyodorov and Pierpaolo Vivo

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Mohammed Osman

PhD Student

Working with Yan Fyodorov

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Rashel Tublin

PhD Student

Working with Yan Fyodorov

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Urtė Adomaitytė

PhD Student

Working with Gabriele Sicuro and Pierpaolo Vivo

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Yanik-Pascal Förster

PhD Student

Working with Pierpaolo Vivo and Alessia Annibale

Projects

Quantitative and Digital Law Lab

Quantitative and Digital Law Lab

Dr. Pierpaolo Vivo’s team aims at measuring and taming the complexity of the UK legal system advocating a new digital, network-based approach to the visualisation and quantitative analysis of legal provisions.

Disordered systems

Disordered systems

The research activities of the group concentrate on the analysis and development of mathematical theories and models with which to describe the statics and dynamics of disordered (or “complex”) systems in physics, biology, financial markets, and computer science.

Physical Systems

Physical Systems

In the domain of physical systems, the question of how to pack spheres optimally is familiar from everyday examples such as a greengrocer’s stack of oranges. But what if the spheres have a range of sizes, as happens for example in colloidal suspensions?

Protein interaction network

Protein interaction network

The definition and generation of good null models to assess the statistical relevance of observed features in protein interaction networks (PIN) is a well known problem in systems biology, where the aim is to understand how the structure of PINs relates to their biological functionality.

Sparse Symmetric Random Matrices

Sparse Symmetric Random Matrices

A collaboration between group members prof. Reimer Kuehn and Dr. Perez Castillo and international collaborators also led to a breakthrough in the spectral problem for sparse symmetric random matrices, allowing to efficiently compute spectral densities of such systems in the limit of large matrix size to any desired accuracy – more than 20 years after a solution to this problem was first attempted.

Universal Glassy Low-Temperature Anomalies

Universal Glassy Low-Temperature Anomalies

Prof. Reimer Kühn has provided the first formulation of a microscopic model to describe the emergence of the universal glassy low-temperature anomalies, including an understanding of the origin of the mysterious so-called quantitative universality – a problem that had been open since its formulation in the late 80s.

Minicourses

A collection of minicourses given by members of the group on our fundamental research topics

Generalized hydrodynamics

Generalized hydrodynamics

Benjamin Doyon covers the fundamentals of Generalized Hydrodynamics in a mini-course at ICTS, Bangalore.

Counting equilibria in complex systems via random matrices

Counting equilibria in complex systems via random matrices

Yan Fyodorov discuss the number and stability properties of equilibria in large complex systems in a series of lectures given at the Park City Mathematics Institute.

Random matrices: Theory and Practice

Random matrices: Theory and Practice

Pierpaolo Vivo gives brief course on random matrix theory given at ICTP Trieste, from the theoretical foundations to applications to complex systems.

Talks and Colloquia

The Group Research

The Group Research

Seminars given by members of the group on their research in institutions and events around the world.

The Disordered Systems Group Journal Club

The Disordered Systems Group Journal Club

Our meetings in which we discuss our research, look at new results, and invite guest speakers from around the world.

The Statistics seminar series

The Statistics seminar series

The seminar page of the Statistics group at King’s College.