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Dr Mauro Mobilia

Associate Professor
Applied Mathematics

Contact details

Room: Satellite 10.13
Tel: +44 (0)113 3431591
Email: M.Mobilia @ leeds.ac.uk

Keywords

Statistical Mechanics
Evolutionary & Nonlinear Dynamics
Complex Systems
Individual-based Models
Mathematical Biology
Evolutionary Game Theory
Opinion Dynamics
Interacting Particle Systems & Stochastic Processes

Research interests

My current research is chiefly concerned with multidisciplinary applications of nonequilibrium statistical mechanics to problems of evolutionary dynamics and to complex systems in the life and behavioural sciences. Some of the major challenges in these areas concern the emergence of cooperative behaviour, the maintenance of biodiversity, the dynamics of cultural changes, and the self-organisation of mobile populations. In my research, the mathematical formulation of the corresponding models is at the individual-based level and therefore naturally accounts for intrinsic fluctuations and spatial structure. This leads to deal with stochastic many-body problems that are studied using a combination of methods drawn from statistical physics, nonlinear dynamics and evolutionary game theory.

As examples of recent research outcomes, one can mention a series of works on "rock-paper-scissors" games to study the self-organisation and biodiversity in cyclically competing populations; another series of papers on the effects of heterogeneities ("zealots") in models of opinion dynamics; and some works on metastability and large fluctuations in social dilemmas and in models of population dynamics (including population genetics).

More details and links to all my research papers, as well as some movies, can be found on my personal web-page (see below).

Useful links

Personal web-page
Research web-page (with link to my list of publications)
List of publications and preprints on the arXiv
Teaching web-page

Current postgraduate students

Giacomo Baldo (2016)
Maria Nowicka (2012)
Fabio Peruzzo (2015)
Robert West (2016)

Publications

Sabsovich D, Mobilia M, Assaf M Large fluctuations in anti-coordination games on scale-free graphs Journal of Statistical Mechanics: Theory and Experiment, 2017
DOI:10.1088/1742-5468/aa6a21
View abstract

Mellor A, Mobilia M, Zia RKP Heterogeneous out-of-equilibrium nonlinear q -voter model with zealotry Physical Review E, 95, 2017
DOI:10.1103/PhysRevE.95.012104
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Widder S, Allen RJ, Pfeiffer T, Curtis TP, Wiuf C, Sloan WT, Cordero OX, Brown SP, Momeni B, Shou W, Kettle H, Flint HJ, Haas AF, Laroche B, Kreft J-U, Rainey PB, Freilich S, Schuster S, Milferstedt K, van der Meer JR, Groβkopf T, Huisman J, Free A, Picioreanu C, Quince C, Klapper I, Labarthe S, Smets BF, Wang H, Isaac Newton Institute Fellows, Soyer OS Challenges in microbial ecology: building predictive understanding of community function and dynamics. ISME J, 10, 2557-2568, 2016
DOI:10.1038/ismej.2016.45
View abstract

Mobilia M, Rucklidge AM, Szczesny B The influence of mobility rate on spiralwaves in spatial rock-paper-scissors games Games, 7, 2016
DOI:10.3390/g7030024
View abstract

Mellor A, Mobilia M, Zia RKP Characterization of the nonequilibrium steady state of a heterogeneous nonlinear q-voter model with zealotry EPL, 113, 2016
DOI:10.1209/0295-5075/113/48001
View abstract

Mobilia M Re-parametrizing the dilemmas: Comment on "Universal scaling for the dilemma strength in evolutionary games", by Z. Wang et al Physics of life reviews, 14, 47-48, 2015
DOI:10.1016/j.plrev.2015.06.008

Mellor A, Mobilia M, Redner S, Rucklidge AM, Ward JA Influence of Luddism on innovation diffusion Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 92, 2015
DOI:10.1103/PhysRevE.92.012806
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Mobilia M Nonlinear q-voter model with inflexible zealots Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 92, 2015
DOI:10.1103/PhysRevE.92.012803
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Califano F; Mobilia M; Longobardi A Heavy rainfall temporal characterization in the peri-urban Solofrana river basin, Southern ItalyProcedia Engineering, 1129-1138 2015
DOI:10.1016/j.proeng.2015.08.957
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Szolnoki A, Mobilia M, Jiang LL, Szczesny B, Rucklidge AM, Perc M Cyclic dominance in evolutionary games: A review Journal of the Royal Society Interface, 11, 2014
DOI:10.1098/rsif.2014.0735
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Szczesny B, Mobilia M, Rucklidge AM Characterization of spiraling patterns in spatial rock-paper-scissors games Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 90, 2014
DOI:10.1103/PhysRevE.90.032704
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Szolnoki A, Perc M, Mobilia M Facilitators on networks reveal optimal interplay between information exchange and reciprocity Physical Review E, 89, 2014
DOI:10.1103/PhysRevE.89.042802
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Mobilia M Evolutionary games with facilitators: When does selection favor cooperation? Chaos, Solitons and Fractals, 56, 113-123, 2013
DOI:10.1016/j.chaos.2013.07.011
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Mobilia M Reply to "comment on 'Stochastic dynamics of the prisoner's dilemma with cooperation facilitators' " Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 88, 2013
DOI:10.1103/PhysRevE.88.046102
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Mobilia M Reply to "Comment on 'Stochastic dynamics of the prisoner's dilemma with cooperation facilitators' ". Phys Rev E Stat Nonlin Soft Matter Phys, 88, 046102, 2013
DOI:10.1103/PhysRevE.88.046102
View abstract

Assaf M; Mobilia M Anomalous Metastability and Fixation Properties of Evolutionary Games on Scale-Free GraphsProceedings of the European Conference on Complex Systems 2012, 713-721 2013
DOI:10.1007/978-3-319-00395-5_88
View abstract

Mobilia M Commitment Versus Persuasion in the Three-Party Constrained Voter Model Journal of Statistical Physics, 151, 69-91, 2013
DOI:10.1007/s10955-012-0656-x
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Assaf, M, Mobilia M, Roberts E Cooperation dilemma in finite populations under fluctuating environments Physical Review Letters, 111, 1-5, 2013
DOI:10.1103/PhysRevLett.111.238101
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Szczesny B, Mobilia M, Rucklidge AM When does cyclic dominance lead to stable spiral waves? EPL (Europhysics Letters) Vol. 102, 28012 (2013), 2012
DOI:10.1209/0295-5075/102/28012
View abstract

Assaf M, Mobilia M Metastability and anomalous fixation in evolutionary games on scale-free networks Physical Review Letters, 109, 2012
DOI:10.1103/PhysRevLett.109.188701
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Mobilia M Stochastic dynamics of the prisoner's dilemma with cooperation facilitators. Physical Review E, 86, 1-9, 2012
DOI:10.1103/PhysRevE.86.011134
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Mobilia M Fixation and polarization in a three-species opinion dynamics model EPL-EUROPHYS LETT, 95, 2011
DOI:10.1209/0295-5075/95/50002
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He Q, Mobilia M, Tauber UC Coexistence in the two-dimensional May-Leonard model with random rates EUR PHYS J B, 82, 97-105, 2011
DOI:10.1140/epjb/e2011-20259-x
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Assaf M, Mobilia M Fixation of a deleterious allele under mutation pressure and finite selection intensity. Journal of Theoretical Biology, 275, 93-103, 2011
DOI:10.1016/j.jtbi.2011.01.025
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He QA, Mobilia M, Tauber UC Spatial rock-paper-scissors models with inhomogeneous reaction rates PHYS REV E, 82, 1-11, 2010
DOI:10.1103/PhysRevE.82.051909
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Assaf M, Mobilia M Large fluctuations and fixation in evolutionary games Journal of Statistical Mechanics: Theory and Experiment, 2010
DOI:10.1088/1742-5468/2010/09/P09009
View abstract

Assaf M, Mobilia M Large fluctuations and fixation in evolutionary games J STAT MECH-THEORY AND EXPERIMENT, 1-24, 2010
DOI:10.1088/1742-5468/2010/09/P09009
View abstract

Mobilia M, Assaf M Fixation in evolutionary games under non-vanishing selection EPL-EUROPHYS LETT, 91, 1-6, 2010
DOI:10.1209/0295-5075/91/10002
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Mobilia M Oscillatory dynamics in rock-paper-scissors games with mutations. J Theor Biol, 264, 1-10, 2010
DOI:10.1016/j.jtbi.2010.01.008
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Volovik D, Mobilia M, Redner S Dynamics of Strategic Three-Choice Voting EPL, 85, 48003-p1-48003-p6, 2009
DOI:10.1209/0295-5075/85/48003
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Reichenbach T, Mobilia M, Frey E Self-organization of mobile populations in cyclic competition J THEOR BIOL, 254, 368-383, 2008
DOI:10.1016/j.jtbi.2008.05.014

Reichenbach T; Mobilia M; Frey E Stochastic effects on biodiversity in cyclic coevolutionary dynamicsBanach Center Publications, 259-264 2008
DOI:10.4064/bc80
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Mobilia M; Reichenbach T; Hinsch H; Franosch T; Frey E Generic principles of active transportBanach Center Publications, 101-120 2008
DOI:10.4064/bc80
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Mobilia M; Georgiev IT; Tauber UC Spatial stochastic predator-prey modelsBanach Center Publications, 253-257 2008
DOI:10.4064/bc80
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Reichenbach T; Mobilia M; Frey E Stochastic effects on biodiversity in cyclic coevolutionary dynamicsBanach Center Publications, 259-264 2008
DOI:10.4064/bc80
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Reichenbach T, Mobilia M, Frey E Noise and correlations in a spatial population model with cyclic competition PHYS REV LETT, 99, 2007
DOI:10.1103/PhysRevLett.99.238105

Reichenbach T, Mobilia M, Frey E Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games NATURE, 448, 1046-1049, 2007
DOI:10.1038/nature06095

Mobilia M, Petersen A, Redner S On the role of zealotry in the voter model J STAT MECH-THEORY E, 2007
DOI:10.1088/1742-5468/2007/08/P08029

Mobilia M, Georgiev IT, Tauber UC Phase transitions and spatio-temporal fluctuations in stochastic lattice Lotka-Volterra models JOURNAL OF STATISTICAL PHYSICS, 128, 447-483, 2007
DOI:10.1007/s10955-006-9146-3

Washenberger MJ, Mobilia M, Tauber UC Influence of local carrying capacity restrictions on stochastic predator-prey models J PHYS-CONDENS MAT, 19, 2007
DOI:10.1088/0953-8984/19/6/065139

Reichenbach T, Mobilia M, Frey E Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model PHYS REV E, 74, 2006
DOI:10.1103/PhysRevE.74.051907

Reichenbach T, Mobilia M, Frey E Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model. Physical review. E, Statistical, nonlinear, and soft matter physics, 74, 051907, 2006
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Pierobon P, Mobilia M, Kouyos R, Frey E Bottleneck-induced transitions in a minimal model for intracellular transport. Physical review. E, Statistical, nonlinear, and soft matter physics, 74, 031906, 2006
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Pierobon P, Mobilia M, Kouyos R, Frey E Bottleneck-induced transitions in a minimal model for intracellular transport PHYS REV E, 74, 2006
DOI:10.1103/PhysRevE.74.031906

Mobilia M, Georgiev IT, Tauber UC Fluctuations and correlations in lattice models for predator-prey interaction PHYS REV E, 73, 2006
DOI:10.1103/PhysRevE.73.040903

Mobilia M, Schmittmann B, Zia RKP Exact dynamics of a reaction-diffusion model with spatially alternating rates PHYS REV E, 71, 2005
DOI:10.1103/PhysRevE.71.056129

Mobilia M, Georgiev IT Voting and catalytic processes with inhomogeneities PHYS REV E, 71, 2005
DOI:10.1103/PhysRevE.71.046102

Mobilia M Competition between homogeneous and local processes in a diffusive many-body system J STAT MECH-THEORY E, 2005
DOI:10.1088/1742-5468/2005/04/P04003

Mobilia M, Zia RKP, Schmittmann B Complete solution of the kinetics in a far-from-equilibrium Ising chain J PHYS A-MATH GEN, 37, L407-L413, 2004
DOI:10.1088/0305-4470/37/32/L03

Mobilia M, Redner S Majority versus minority dynamics: Phase transition in an interacting two-state spin system PHYS REV E, 68, 2003
DOI:10.1103/PhysRevE.68.046106

Mobilia M, Redner S Majority versus minority dynamics: Phase transition in an interacting two-state spin system Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 68, 461061-4610611, 2003
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Mobilia M Does a single zealot affect an infinite group of voters? PHYS REV LETT, 91, 2003
DOI:10.1103/PhysRevLett.91.028701

Mobilia M, Krapivsky PL, Redner S Kinetic anomalies in addition-aggregation processes J PHYS A-MATH GEN, 36, 4533-4542, 2003

Mobilia M Exact multipoint and multitime correlation functions of a one-dimensional model of adsorption and evaporation of dimers PHYS REV E, 65, 2002
DOI:10.1103/PhysRevE.65.046127

Mobilia M, Bares PA Two-species d-dimensional diffusive model and its mapping onto a growth model PHYS REV E, 65, 2002
DOI:10.1103/PhysRevE.65.016117

Mobilia M, Bares PA Generalized empty-interval method applied to a class of one-dimensional stochastic models PHYS REV E, 64, 2001
DOI:10.1106/PhysRevE.64.066123

Mobilia M, Bares PA Generalized empty-interval method applied to a class of one-dimensional stochastic models Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 64, 2001
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Mobilia M, Bares PA Solution of a one-dimensional stochastic model with branching and coagulation reactions Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 64, 451011-451014, 2001
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Mobilia M, Bares PA Solution of a one-dimensional stochastic model with branching and coagulation reactions PHYS REV E, 6404, 2001

Mobilia M, Bares PA Solution of a class of one-dimensional reaction-diffusion models in disordered media PHYS REV B, 6406, 2001

Mobilia M, Bares PA Exact solution of a class of one-dimensional nonequilibrium stochastic models PHYS REV E, 6305, 2001

Mobilia M, Bares PA Exact solution of a class of one-dimensional nonequilibrium stochastic models Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 63, 561121-5611212, 2001
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Mobilia M, Bares PA Soluble two-species diffusion-limited models in arbitrary dimensions PHYS REV E, 6303, 2001

Mobilia M, Bares PA Soluble two-species diffusion-limited models in arbitrary dimensions Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 63, 361211-361225, 2001
DOI:10.1103/PhysRevE.63.036121
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Bares P, Mobilia M Bares and mobilia reply: Phys Rev Lett, 85, 893, 2000
DOI:10.1103/PhysRevLett.85.893

Bares PA, Mobilia M Comment on "Solution of classical stochastic one-dimensional many-body systems" - Bares and Mobilia reply PHYS REV LETT, 85, 893-893, 2000

Bares PA, Mobilia M Solution of classical stochastic one-dimensional many-body systems PHYS REV LETT, 83, 5214-5217, 1999

Bares PA, Mobilia M Diffusion-limited reactions of hard-core particles in one dimension PHYS REV E, 59, 1996-2009, 1999

Wienand K, Frey E, Mobilia M Evolution of a fluctuating population in randomly switching environment Physical Review Letters