Publications by topic

Last updated August 2023. I am aware that the headings are different to those on the Research Interests page. Also, some of the papers would fit into more than one box. There are different ways of diagonalising this ...

Stochastic dynamics in discrete populations 

Systems with delay


Gaussian approximations for stochastic systems with delay: chemical Langevin equation and application to a Brusselator system

T Brett, T Galla

The Journal of Chemical Physics 140 (12)


Generating functionals and Gaussian approximations for interruptible delay reactions

T Brett, T Galla

Physical Review E 92 (4), 042105


Stochastic processes with distributed delays: chemical Langevin equation and linear-noise approximation

T Brett, T Galla

Physical Review Letters 110 (25), 250601


Intrinsic fluctuations in stochastic delay systems: Theoretical description and application to a simple model of gene regulation

T Galla

Physical Review E 80 (2), 021909 

Switching environments

Beyond the adiabatic limit in systems with fast environments: A -leaping algorithm

E Berríos-Caro, T Galla

Physical Review E 104 (1), 014122


How successful are mutants in multiplayer games with fluctuating environments? Sojourn times, fixation and optimal switching

JW Baron, T Galla

Royal Society Open Science 5 (3), 172176


Classical stochastic systems with fast-switching environments: Reduced master equations, their interpretation, and limits of validity

PG Hufton, YT Lin, T Galla

Physical Review E 99 (3), 032121


Model reduction methods for population dynamics with fast-switching environments: Reduced master equations, stochastic differential equations, and applications

PG Hufton, YT Lin, T Galla

Physical Review E 99 (3), 032122


Intrinsic noise in systems with switching environments

PG Hufton, YT Lin, T Galla, AJ McKane

Physical Review E 93 (5), 052119 


Fixation in finite populations evolving in fluctuating environments

P Ashcroft, PM Altrock, T Galla

Journal of The Royal Society Interface 11 (100), 20140663


Demographic noise and piecewise deterministic Markov processes

J Realpe-Gomez, T Galla, AJ McKane

Physical Review E 86 (1), 011137



Evolutionary dynamics


Liquid-hexatic-solid phases in active and passive Brownian particles determined by stochastic birth and death events

A Almodóvar, T Galla, C López

Physical Review E 106 (5), 054130


Motion, fixation probability and the choice of an evolutionary process

F Herrerías-Azcué, V Pérez-Muñuzuri, T Galla

PLoS computational biology 15 (8), e1007238


Effects of population growth on the success of invading mutants

P Ashcroft, CER Smith, M Garrod, T Galla

Journal of Theoretical Biology 420, 232-240


When the mean is not enough: Calculating fixation time distributions in birth-death processes

P Ashcroft, A Traulsen, T Galla

Physical Review E 92 (4), 042154


Fitness-based models and pairwise comparison models of evolutionary games are typically different—even in unstructured populations

B Wu, B Bauer, T Galla, A Traulsen

New Journal of Physics 17 (2), 023043


Mixing times in evolutionary game dynamics

AJ Black, A Traulsen, T Galla

Physical Review Letters 109 (2), 028101


 The mechanics of stochastic slowdown in evolutionary games

PM Altrock, A Traulsen, T Galla

Journal of Theoretical Biology 311, 94-106


Fixation and escape times in stochastic game learning

J Realpe-Gomez, B Szczesny, L Dall’Asta, T Galla

Journal of Statistical Mechanics: Theory and Experiment 2012 (10), P10022


Imitation, internal absorption and the reversal of local drift in stochastic evolutionary games

T Galla

Journal of Theoretical Biology 269 (1), 46-56 


Evolutionary dynamics, intrinsic noise, and cycles of cooperation

AJ Bladon, T Galla, AJ McKane

Physical Review E 81 (6), 066122



General theory and stochastic processes


Analytical and numerical treatment of continuous ageing in the voter model

JW Baron, AF Peralta, T Galla, R Toral

Entropy 24 (10), 1331


Sampling rare trajectories using stochastic bridges

J Aguilar, JW Baron, T Galla, R Toral

Physical Review E 105 (6), 064138


The effects of heterogeneity on stochastic cycles in epidemics

F Herrerías-Azcué, T Galla

Scientific Reports 7 (1), 13008


Time scales and species coexistence in chaotic flows

T Galla, V Pérez-Munuzuri

Europhysics Letters 117 (6), 68001


Stochastic evolution in populations of ideas

R Nicole, P Sollich, T Galla

Scientific Reports 7 (1), 40580


Stochastic fluctuations and quasipattern formation in reaction-diffusion systems with anomalous transport

JW Baron, T Galla

Physical Review E 99 (5), 052124


Effective diffusion coefficients in reaction-diffusion systems with anomalous transport

JW Baron, T Galla

Physical Review E 99 (1), 012212


Stirring does not make populations well mixed

F Herrerías-Azcué, V Pérez-Munuzuri, T Galla

Scientific reports 8 (1), 4068


Stochastic transport in the presence of spatial disorder: Fluctuation-induced corrections to homogenization

MJ Russell, OE Jensen, T Galla

Physical Review E 94 (4), 042121


Stochastic oscillations of adaptive networks: application to epidemic modelling

T Rogers, W Clifford-Brown, C Mills, T Galla

Journal of Statistical Mechanics: Theory and Experiment 2012 (08), P08018


Fluctuations in meta-population exclusion processes

T Galla

Journal of Statistical Mechanics: Theory and Experiment 2012 (03), P03008


Stochastic waves in a Brusselator model with nonlocal interaction

T Biancalani, T Galla, AJ McKane

Physical Review E 84 (2), 026201 


Pattern formation in individual-based systems with time-varying parameters

P Ashcroft, T Galla

Physical Review E 88 (6), 062104


Demographic noise and resilience in a semi-arid ecosystem model

J Realpe-Gomez, M Baudena, T Galla, AJ McKane, M Rietkerk

Ecological Complexity 15, 97-108


How limit cycles and quasi-cycles are related in systems with intrinsic noise

RP Boland, T Galla, AJ McKane

Journal of Statistical Mechanics: Theory and Experiment 2008 (09), P09001 


 Limit cycles, complex Floquet multipliers, and intrinsic noise

RP Boland, T Galla, AJ McKane

Physical Review E 79 (5), 051131


Defect formation in the Swift-Hohenberg equation

T Galla, E Moro

Physical Review E 67 (3), 035101152003

Random replicator dynamics, random Lotka-Volterra systems and random matrices


Breakdown of random-matrix universality in persistent Lotka-Volterra communities

JW Baron, TJ Jewell, C Ryder, T Galla

Physical Review Letters 130 (13), 137401


Demographic noise in complex ecological communities

F Larroya, T Galla

Journal of Physics: Complexity 4 (2), 025012


Generalized Lotka-Volterra model with hierarchical interactions

L Poley, JW Baron, T Galla

Physical Review E 107 (2), 024313


Eigenvalues of random matrices with generalized correlations: A path integral approach

JW Baron, TJ Jewell, C Ryder, T Galla

Physical Review Letters 128 (12), 120601


Competitive exclusion and Hebbian couplings in random generalised Lotka-Volterra systems

E Rozas, MJ Crumpton, T Galla

arXiv preprint arXiv:2301.11703


Dispersal-induced instability in complex ecosystems

JW Baron, T Galla

Nature communications 11 (1), 6032


Ecological communities from random generalized Lotka-Volterra dynamics with nonlinear feedback

L Sidhom, T Galla

Physical Review E 101 (3), 032101


Dynamically evolved community size and stability of random Lotka-Volterra ecosystems (a)

T Galla

Europhysics Letters 123 (4), 48004


Relative population size, cooperation pressure and strategy correlation in two-population evolutionary dynamics

T Galla

Philosophical Magazine 92 (1-3), 324-340


 Statistical mechanics and stability of a model eco-system

Y Yoshino, T Galla, K Tokita

Journal of Statistical Mechanics: Theory and Experiment 2007 (09), P09003 


Rank abundance relations in evolutionary dynamics of random replicators

Y Yoshino, T Galla, K Tokita

Physical Review E 78 (3), 031924 


Two-population replicator dynamics and number of nash equilibria in matrix games

T Galla

Europhysics Letters 78 (2), 20005


Random replicators with asymmetric couplings

T Galla

Journal of Physics A: Mathematical and General 39 (15), 3853


Dynamics of random replicators with Hebbian interactions

T Galla

Journal of Statistical Mechanics: Theory and Experiment 2005 (11), P11005 


Other complex systems theory and applications


Measuring the pitch control of professional football players using spatiotemporal tracking data

L Higgins, T Galla, B Prestidge, T Wyatt

Journal of Physics: Complexity 4 (2), 025008


Lyapunov exponents for temporal networks

A Caligiuri, VM Eguíluz, L Di Gaetano, T Galla, L Lacasa

Physical Review E 107 (4), 044305



Computing complexity measures for quantum states based on exponential families

S Niekamp, T Galla, M Kleinmann, O Gühne

Journal of Physics A: Mathematical and Theoretical 46 (12), 125301


Complexity measures, emergence, and multiparticle correlations

T Galla, O Gühne

Physical Review E 85 (4), 046209


Effects of communication and utility-based decision making in a simple model of evacuation

M Smyrnakis, T Galla

The European Physical Journal B 85, 1-952012


Optimizing evacuation flow in a two-channel exclusion process

T Galla

Journal of Statistical Mechanics: Theory and Experiment 2011 (09), P09004 


Stability and dynamical properties of material flow systems on random networks

K Anand, T Galla

The European Physical Journal B 68 (4), 587-600 

Applications in biology

 Mutators can drive the evolution of multi-resistance to antibiotics

DR Gifford, E Berríos-Caro, C Joerres, M Suñé, JH Forsyth, ...

PLoS Genetics 19 (6), e1010791


Switching environments, synchronous sex, and the evolution of mating types

E Berríos-Caro, T Galla, GWA Constable

Theoretical population biology 138, 28-42


Competition delays multi-drug resistance evolution during combination therapy

E Berríos-Caro, DR Gifford, T Galla

Journal of Theoretical Biology 509, 110524


Intrinsic noise, Delta-Notch signalling and delayed reactions promote sustained, coherent, synchronized oscillations in the presomitic mesoderm

JW Baron, T Galla

Journal of the Royal Society Interface 16 (160), 20190436


Bursting noise in gene expression dynamics: linking microscopic and mesoscopic models

YT Lin, T Galla

Journal of The Royal Society Interface 13 (114), 20150772


Stochasticity in the miR-9/Hes1 oscillatory network can account for clonal heterogeneity in the timing of differentiation

NE Phillips, CS Manning, T Pettini, V Biga, E Marinopoulou, P Stanley, ...

Elife 5, e16118


Quantitative single-cell live imaging links HES5 dynamics with cell-state and fate in murine neurogenesis

CS Manning, V Biga, J Boyd, J Kursawe, B Ymisson, DG Spiller, ...

Nature communications 10 (1), 2835


Stochastic tunneling and metastable states during the somatic evolution of cancer

P Ashcroft, F Michor, T Galla

Genetics 199 (4), 1213-1228


Phenotypic switching of populations of cells in a stochastic environment

PG Hufton, YT Lin, T Galla

Journal of Statistical Mechanics: Theory and Experiment 2018 (2), 023501


microRNA input into a neural ultradian oscillator controls emergence and timing of alternative cell states

M Goodfellow, NE Phillips, C Manning, T Galla, N Papalopulu

Nature Communications 5 (1), 3399


Competition for resources can explain patterns of social and individual learning in nature

M Smolla, RT Gilman, T Galla, S Shultz

Proceedings of the Royal Society B: Biological Sciences 282 (1815), 20151405


Independence and interdependence in the nest-site choice by honeybee swarms: agent-based models, analytical approaches and pattern formation

T Galla

Journal of Theoretical Biology 262 (1), 186-196 

Medical statistics, and mechanistic modelling in healthcare

Network meta-analysis: a statistical physics perspective

AL Davies, T Galla

Journal of Statistical Mechanics: Theory and Experiment 2022 (11), 11R001


Network meta‐analysis and random walks

AL Davies, T Papakonstantinou, A Nikolakopoulou, G Rücker, T Galla

Statistics in Medicine 41 (12), 2091-2114


Degree irregularity and rank probability bias in network meta‐analysis

AL Davies, T Galla

Research Synthesis Methods 12 (3), 316-332


Retarded kernels for longitudinal survival analysis and dynamic prediction

AL Davies, ACC Coolen, T Galla

arXiv preprint arXiv:2110.11196


Progress of the attractiveness of Rheumatology among medical speciality training candidates (MIR) in Spain

JL Andréu, L Silva-Fernández, T Galla

Reumatología Clínica (English Edition) 14 (3), 150-154


First-passage times and normal tissue complication probabilities in the limit of large populations

PG Hufton, E Buckingham-Jeffery, T Galla

Scientific Reports 10 (1), 1-12


Mechanisms of stochastic onset and termination of atrial fibrillation studied with a cellular automaton model

YT Lin, ETY Chang, J Eatock, T Galla, RH Clayton

Journal of The Royal Society Interface 14 (128), 20160968


A stochastic individual-based model of the progression of atrial fibrillation in individuals and populations

ETY Chang, YT Lin, T Galla, RH Clayton, J Eatock

PLoS One 11 (4), e0152349


Computational model of progression to multiple myeloma identifies optimum screening strategies

PM Altrock, J Ferlic, T Galla, MH Tomasson, F Michor

JCO Clinical Cancer Informatics 2, 1-12

Topics in game theory and economics



Towards a taxonomy of learning dynamics in 2× 2 games

M Pangallo, JBT Sanders, T Galla, JD Farmer

Games and Economic Behavior 132, 1-21


The prevalence of chaotic dynamics in games with many players

JBT Sanders, JD Farmer, T Galla

Scientific reports 8 (1), 4902


Emergence of cooperative long-term market loyalty in double auction markets

A Alorić, P Sollich, P McBurney, T Galla

PloS One 11 (4), e0154606 


Complex dynamics in learning complicated games

T Galla, JD Farmer

Proceedings of the National Academy of Sciences 110 (4), 1232-1236


Effects of noise on convergent game-learning dynamics

JBT Sanders, T Galla, JL Shapiro

Journal of Physics A: Mathematical and Theoretical 45 (10), 105001


 Learning dynamics in public goods games

AJ Bladon, T Galla

Physical Review E 84 (4), 041132112011


Cycles of cooperation and defection in imperfect learning

T Galla

Journal of Statistical Mechanics: Theory and Experiment 2011 (08), P08007 


Intrinsic noise in game dynamical learning

T Galla

Physical Review Letters 103 (19), 198702 


Agent-specific impact of single trades in financial markets

AJ Bladon, E Moro, T Galla

Physical Review E 85 (3), 036103


Effects of Tobin taxes in minority game markets

G Bianconi, T Galla, M Marsili, P Pin

Journal of Economic Behavior & Organization 70 (1-2), 231-240 


Statistical mechanics of combinatorial auctions

T Galla, M Leone, M Marsili, M Sellitto, M Weigt, R Zecchina

Physical Review Letters 97 (12), 128701 

Statistical physics of models of opinion dynamics and language evolution

Noisy voter models in switching environments

A Caligiuri, T Galla

arXiv preprint arXiv:2305.19096


Local and global ordering dynamics in multistate voter models

L Ramirez, M San Miguel, T Galla

Physical Review E 106 (5), 054307


Geospatial distributions reflect temperatures of linguistic features

H Kauhanen, D Gopal, T Galla, R Bermúdez-Otero

Science advances 7 (1), eabe6540


Zealots in multistate noisy voter models

N Khalil, T Galla

Physical Review E 103 (1), 012311


Consensus and diversity in multistate noisy voter models

F Herrerías-Azcué, T Galla

Physical Review E 100 (2), 022304


 Voter models with conserved dynamics

F Caccioli, L Dall’Asta, T Galla, T Rogers

Physical Review E 87 (5), 052114


 Effects of noise and confidence thresholds in nominal and metric Axelrod dynamics of social influence

L De Sanctis, T Galla

Physical Review E 79 (4), 046108 


Algebraic coarsening in voter models with intermediate states

L Dall'Asta, T Galla

Journal of Physics A: Mathematical and Theoretical 41 (43), 435003 

Minority Games and related models (prior to approx. 2009)

On non-ergodic phases in Minority Games

A De Martino, T Galla

New Mathematics and Natural Computation 7 (02), 249-265 


Minority games, evolving capitals and replicator dynamics

T Galla, YC Zhang

Journal of Statistical Mechanics: Theory and Experiment 2009 (11), P11012 


Spherical grand-canonical minority games with and without score discounting

A Bladon, T Richardson, T Galla

Journal of Physics A: Mathematical and Theoretical 42 (9), 095007 


Adapting to heterogeneous comfort levels

L De Sanctis, T Galla

Journal of Statistical Mechanics: Theory and Experiment 2006 (12), P12004 


The transition to efficiency in minority games

T Galla, A De Martino

Journal of Physics A: Mathematical and Theoretical 41 (32), 324003 


Anomalous fluctuations in Minority Games and related multi-agent models of financial markets

T Galla, G Mosetti, YC Zhang

arXiv preprint physics/0608091 


Price return autocorrelation and predictability in agent-based models of financial markets

D Challet, T Galla

Quantitative Finance 5 (6), 569-576  


Stationary states of a spherical Minority Game with ergodicity breaking

T Galla, D Sherrington

Journal of Statistical Mechanics: Theory and Experiment 2005 (10), P10009 


Dynamics of adaptive agents with asymmetric information

A De Martino, T Galla

Journal of Statistical Mechanics: Theory and Experiment 2005 (08), P08008 


Strategy correlations and timing of adaptation in Minority Games

T Galla, D Sherrington

The European Physical Journal B-Condensed Matter and Complex Systems 46, 153-168152005


Statistical mechanics of dilute batch minority games with random external information

T Galla

Journal of Statistical Mechanics: Theory and Experiment 2005 (01), P01002 


Dynamics of a spherical minority game

T Galla, ACC Coolen, D Sherrington

Journal of Physics A: Mathematical and General 36 (43), 11159


The minority game: effects of strategy correlations and timing of adaptation

D Sherrington, T Galla

Physica A: Statistical Mechanics and its Applications 324 (1-2), 25-29


Supersymmetry on the lattice (prior to 2002)

The supersymmetric Ward identities on the lattice

DESY-Münster-Roma Collaboration, F Farchioni, C Gebert, R Kirchner, ...

The European Physical Journal C-Particles and Fields 23 (4), 719-734


Lattice supersymmetric Ward identities

F Farchioni, A Feo, T Galla, C Gebert, R Kirchner, I Montvay, G Münster, ...

Nuclear Physics B-Proceedings Supplements 106, 938-940


SUSY Ward identities in 1-loop perturbation theory

F Farchioni, A Feo, T Galla, C Gebert, R Kirchner, I Montvay, G Münster, ...

Nuclear Physics B-Proceedings Supplements 106, 941-943



On the 1-loop lattice perturbation theory of the supersymmetric Ward identities

F Farchioni, A Feo, T Galla, C Gebert, R Kirchner, I Montvay, G Münster

Nuclear Physics B-Proceedings Supplements 94 (1-3), 791-79


SUSY Ward identities in N= 1 SYM theory on the lattice

F Farchioni, A Feo, T Galla, C Gebert, R Kirchner, I Montvay, G Münster, ...

Nuclear Physics B-Proceedings Supplements 94 (1-3), 787-790