M.V. Tamm, E. Heinsalu, S. Scialla, M. Patriarca,
Learning thresholds lead to stable language coexistence,
Phys. Rev. E 111, 024304 (2025)
https://doi.org/10.1103/PhysRevE.111.024304    arXiv:2406.14522

S. Scialla, M. Patriarca, E. Heinsalu,  M.E. Yamakou, J.H. E. Cartwright,
Effect of diversity distribution symmetry on global oscillations of networks of excitable units,
Phys. Rev. E 112, 054201 (2025)
https://doi.org/10.1103/lvb3-dc11   arXiv:2507.09804

M. Patriarca, S. Scialla, E. Heinsalu, M.E. Yamakou, J.H. E. Cartwright,
Dynamical equivalence between resonant translocation of a polymer chain and diversity-induced resonance,
Chaos 35, 073115 (2025)
https://doi.org/10.1063/5.0262633   https://arxiv.org/abs/2502.00900

E. Heinsalu, Marco Patriarca, David Sanchez,
Language Dynamics: Complex Systems Approaches,
in: Reference Collection in Social Sciences,
International Encyclopedia of Language and Linguistics, 3rd edition, Elsevier 2025
doi:10.1016/B978-0-323-95504-1.00991-1   [online preprint allowed starting in November 2026]

V. Dornelas, C. Anteneodo, R. Nunes, E. Heinsalu, M. Patriarca,
Role of zealots in the spread of linguistic traits,
Phys. Rev. E 112, 044303 (2025)
doi:10.1103/t4pt-zdc3   arxiv:2508.01500  

C. Zankoc, E. Heinsalu, and M. Patriarca
Language dynamics model with finite-range interactions influencing the diffusion of linguistic traits and human dispersal
European Physical Journal B 97, 66 (2024)  
https://doi.org/10.1140/epjb/s10051-024-00706-3

E. Heinsalu, M. Patriarca, and D. Sanchez
Complexity in Language Variation and Change (Research Topic Editorial)
Frontiers in Complex Systems, Vol. 2 (2024)
doi: 10.3389/fcpxs.2024.1497038 🔓   Article collection: Complexity in Language Variation and Change 🔓

S. Scialla, J.-K. Liivand, M. Patriarca, and E. Heinsalu,
A three-state language competition model including language learning and attrition,
Front. Complex Syst. 1-1266733 (2023)
doi:10.3389/fcpxs.2023.1266733 🔓

M. Patriarca, E. Heinsalu, and D. Sánchez
The Physics of Languages
Physics World, 13 June 2023
https://physicsworld.com/a/the-physics-of-languages/

M.E. Yamakou, E. Heinsalu, M. Patriarca, and S. Scialla,
Diversity-induced decoherence
Phys. Rev. E 106, L032401 (2022)
doi: 10.1103/PhysRevE.106.L032401   arxiv:2206.08064

D. Navidad Maeso, M. Patriarca, E. Heinsalu,
Influence of invasion on natural selection in dispersal-structured populations,
Physica A 547, 124427 (2022),
doi: 0.1016/j.physa.2022.127389   arxiv.org/abs/2204.11899

S. Scialla, M. Patriarca, and E. Heinsalu.
The interplay between diversity and noise in an excitable cell network model,
Europhysics Letters 137, 51001 (2022)
doi: 10.1209/0295-5075/ac5cdb   arXiv:2203.12506

S. Scialla, A. Loppini, M. Patriarca, and E. Heinsalu. 
Hubs, diversity, and synchronization in FitzHugh-Nagumo oscillator networks: Resonance effects and biophysical implications,
Phys. Rev. E 103, 052211 (2021) 
doi:10.1103/PhysRevE.103.052211   arXiv:2105.05652

G. Marchetti, M. Patriarca, and E. Heinsalu.
The role of bilinguals in the Bayesian naming game,
Physica D 428, 133062 (2021)  
doi:10.1016/j.physd.2021.133062   arXiv:2106.00069

M. Patriarca, E. Heinsalu, and J.L. Leonard,
"Languages in Space and Time: Models and Methods from Complex Systems Theory"
Series Physics of Society: Econophysics and Sociophysics
Cambridge University Press (2020) ISBN 978-1-108-48065-9

E. Heinsalu, D.N. Maeso, and M. Patriarca
The dynamics of natural selection in dispersal-structured populations
Physica A 547, 124427 (2020)
doi:10.1016/j.physa.2020.124427   arxiv.:2004.14689 

G. Marchetti, M. Patriarca, and E. Heinsalu,
A Bird’s-Eye View of Naming Game Dynamics: From Trait Competition to Bayesian Inference,
Chaos 30, 063119 (2020)  
doi:10.1063/5.0009569   arXiv:2004.01994

G. Marchetti, M. Patriarca, and E. Heinsalu,
A Bayesian Approach to the Naming Game Model,
Frontiers in Physics 8, 10 (2020)  
doi:10.3389/fphy.2020.00010 🔓   arXiv:1911.13012

M. Patriarca, E. Heinsalu, and J.L. Léonard
Applicazioni alla linguistica dei metodi e modelli della teoria dei sistemi complessi
In: "Mutamento Linguistico e Biodiversità", Il Calamo, Roma, 2018, p. 103–143
Atti del XLI Convegno Società Italiana di Glottologia, Perugia, 1-3 dicembre 2016;
L. Costamagna et al. editors,  ISBN: 9788898640317,
Biblioteca della Società Italiana di Glottologia 41 p. 103–143 🔓 

E. Heinsalu, D. Navidad Maeso, and M. Patriarca
The role of dispersal in competition success and in the emerging diversity
The European Physical Journal B  91, 255 (2017)
doi:10.1140/epjb/e2018-90372-5   arxiv:2004.06088 

H. Veermäe and M. Patriarca
Diffusion in the presence of a local attracting factor: Theory and interdisciplinary applications
Physical Review E 95 (6), 062116 (2017)
doi:10.1103/PhysRevE.95.062116   arxiv:1603.07102

J.-L. Léonard, E. Heinsalu, and M. Patriarca, 
Patterns of Linguistic Diffusion in Space&Time: The Case of Mazatec
in: Econophysics and Sociophysics: Recent Progress and Future Directions
F. Abergel et al. editors, Spriger (2017), p.227-251.
doi:10.1007/978-3-319-47705-3_17   arXiv:1612.02994

M. Patriarca, E. Heinsalu, A. Chakraborti, and K. Kaski
The microscopic origin of the Pareto law and other power-law distributions
in: Econophysics and Sociophysics: Recent Progress and Future Directions
F. Abergel et al. editors, Springer (2017), p. 159-176.
doi:10.1007/978-3-319-47705-3_12   

M. Patriarca, E Heinsalu, A Singh, A Chakraborti
Kinetic Exchange Models as D Dimensional Systems: A Comparison of Different Approaches
in: Econophysics and Sociophysics: Recent Progress and Future Directions
F. Abergel et al. editors, Springer (2017), p 147-158.
doi:10.1007/978-3-319-47705-3_11   arxiv.org:1610.03367(this is a preprint version titled Thermal Equilibrium in D-dimensions: From Fluids and Polymers to Kinetic Wealth Exchange Models)

M. Patriarca and P. Sodano
Classical and quantum Brownian motion in an electromagnetic field
Fortschritte der Physik 65 (6-8), 1600058 (2017)
doi:10.1002/prop.201600058   arxiv:1605.04698

M. Patriarca, E. Heinsalu, L. Marzola, A. Chakraborti, and K. Kaski
Power-laws as statistical mixtures
In: Proceedings of ECCS 2014. European Conference on Complex Systems.
S.Battiston, F. De Pellegrini, G.Caldarelli, E. Merelli, editors.
p. 271-282.  Springer 2016.
doi:10.1007/978-3-319-29228-1_23      

M. Patriarca, E. Hernández-García, and R. Toral
Constructive effects of diversity in a multi-neuron model of the homeostatic regulation of the sleep–wake cycle
Chaos, Solitons & Fractals 81, 567-574 (2015)
doi:10.1016/j.chaos.2015.09.010    

J.L. Léonard, E. Heinsalu, M. Patriarca, and P. Darlu
Modeling Regional Variation from EAS: Complexity and Communal Aggregates
Linguistic variation in the basque and education-1 (2015), Servicio Editorial de la Universidad del País Vasco, ISBN: 978-84-9082-278-4, p. 145-172 🔓 

E. Heinsalu and M. Patriarca
Uni-vs. bi-directional kinetic exchange models
International Journal of Computational Economics and Econometrics 5 (3), 213-219 (2015)
doi:10.1140/epjb/e2014-50270-6   RePEc:ids:ijcome:v:5:y:2015:i:3:p:213-219

M. Patriarca, S. Postnova, H.A. Braun, E. Hernández-García, R. Toral
Modelling the homeostatic regulation of the sleep-wake cycle: role of diversity
NOLTA2012, International Symposium on Nonlinear Theory and its Applications, Majorca, Spain, October 22-26, 2012
IEICE Proceeding Series, Vol. 1 (2014), p. 365-368  🔓 

G. Polian, J.L. Léonard, E. Heinsalu, M. Patriarca
Variation dialectal del Tseltal Maya (Maya occidental) en los ámbitos morfológico, fonológico y léxico: un enfoque holístico del diasistema
in: Patterns in Mesoamerican Morphology,
J.L. Léonard and A. Kihm editors, Michel Houdiard Éditeur (2014), p.  280 

M. Patriarca and E. Heinsalu
Kinetic Wealth Exchange Models: A short review
ICCSA20024 - The 4th International Conference on Complex Systems and Applications, 
Normandie University, Le Havre, France - June 23-26 (2014)
Proceedings of ICCSA 2014, p.129-136 🔓 

E. Heinsalu and M. Patriarca
Kinetic models of immediate exchange
The European Physical Journal B 87, 170 (2014)
doi:10.1140/epjb/e2014-50270-6    arxiv:1505.01274 

E. Heinsalu, M. Patriarca, and J.L. Léonard
The role of bilinguals in language competition
Advances in Complex Systems 17 (01), 1450003 (2014)
doi:10.1142/S0219525914500039 

M. Patriarca and A. Chakraborti
Kinetic exchange models: From molecular physics to social science
Am. J. Phys. 81, 618 (2013)  
doi:10.1119/1.4807852   arXiv:1305.0768

M. Patriarca, S. Postnova, H.A. Braun, E. Hernandez-Garcia, and R. Toral
Diversity and Noise Effects in a Model of Homeostatic Regulation of the Sleep-Wake Cycle
PLoS Comput. Biol. 8(8) (2012) e1002650
doi:10.1371/journal.pcbi.1002650   arXiv:1209.5046

M. Patriarca, X. Castelló, J.R. Uriarte, V.M. Eguı́luz, and M. San Miguel
Modeling two-language competition dynamics
Advances in Complex Systems 15 (2012) 1250048  
doi:10.1142/S0219525912500488   arXiv:1206.2960

A. Chakraborti, I.M. Toke, M. Patriarca, and F. Abergel
Econophysics review:
I. Empirical facts, Quantitative Finance 11 (2011) 991-1012 doi:10.1080/14697688.2010.539248
II. Agent-based models, Quantitative Finance 11 (2011) 1013-1041  doi:10.1080/14697688.2010.539249
arXiv:0909.1974 (preprint version titled Econophysics: Empirical facts and agent-based models)

E. Heinsalu, M. Patriarca, and Fabio Marchesoni
Stochastic Resonance in a surface dipole
Chem. Phys. 375 (2010) 410  
doi:10.1016/j.chemphys.2010.03.013    

M. Patriarca, E. Heinsalu, R. Kitt, and J. Kalda
Econophysics studies in Estonia
Journal of Science and Culture (Indian Science News Association) 76(9-10) (2010) 374
Special issue Sep.-Oct. “Econophysics”
http://www.scienceandculture-isna.org/sep-oct-2010.htm   arXiv:1006.3708

M. Patriarca, E. Heinsalu, and A. Chakraborti
Basic kinetic wealth-exchange models: common features and open problems
Eur. Phys. J. B 73, (2010) 145 
doi:10.1140/epjb/e2009-00418-6   arXiv:physics/06112452

M. Patriarca and E. Heinsalu
Influence of geography on language competition
Physica A 388 (2009) 174
doi:10.1016/j.physa.2008.09.034   arxiv.org:0807.3100

A. Chakraborti and M. Patriarca
A variational principle for the Pareto power law
Phys. Rev. Lett. 103 (2009) 228701  
doi:10.1103/PhysRevLett.103.228701   arXiv:cond-mat/0605325

E. Heinsalu, M. Patriarca, and F. Marchesoni
Stochastic resonance in bistable confining potentials. On the role of confinement
Eur. J. Phys. B 69 1 (2009) 19  
doi:10.1140/epjb/e2009-00050-6   arXiv:0901.2523

E. Heinsalu, M. Patriarca, I. Goychuk, and P. Hänggi
Fractional Fokker-Planck subdiffusion in alternating force fields
Phys. Rev. E 79 (2009) 041137  
doi:10.1103/PhysRevE.79.041137  arXiv.org:0902.3878

E. Heinsalu, M. Patriarca, and F. Marchesoni
Dimer diffusion in a washboard potential
Phys. Rev. E 77, 021129 (2008)  
doi:10.1103/PhysRevE.77.021129   arXiv:0708.2858

A. Chakraborty and M. Patriarca
Gamma-distribution and wealth inequality
Pramana J. Phys. 71(2) (2008) 233
Special Issue: Statistical Physics Approaches to Multidisciplinary Problems
doi:10.1007/s12043-008-0156-3  www.ias.ac.in/describe/article/pram/071/02/0233-0243🔓 arXiv.org:0802.4410

A. Chakraborti, M. Patriarca, and M.S. Santhanam
Financial time-series analysis: A brief overview
in: Econophysics and Sociophysics of Markets and Networks,
A. Chatterjee and B.K. Chakrabarti editors, Springer (2007)
doi:10.1007/978-88-470-0665-2_4   arXiv:0704.1738

M. Patriarca, A. Kuronen, M. Robles, and K. Kaski
3D interactive Molecular Dynamics program for the study of defect dynamics in crystals
Comp. Phys. Comm. 176 (2007) 383  
doi:10.1016/j.cpc.2006.07.019  arxiv:cond-mat/0212318 (Preprint version titled Microscopic Method for Dislocation Tracking)

E. Heinsalu, M. Patriarca, I. Goychuk, and P. Hänggi
Use and abuse of a fractional Fokker-Planck dynamics for time-dependent driving
Phys. Rev. Lett. 99 (2007) 120602  
doi:10.1103/PhysRevLett.99.120602   arXiv:cond-mat/0703420

M. Patriarca, A. Chakraborti, E. Heinsalu, and G. Germano
Relaxation in Statistical Many-agent Economy Models
Eur. Phys. J. B 57 (2007) 219  
doi:10.1140/epjb/e2007-00122-7   arXiv:physics/0608174

E. Heinsalu, M. Patriarca, I. Goychuk, and P. Hänggi
Fractional diffusion in periodic potentials
J. Phys.: Condensed Matter 19 (2007) 065114  
doi:10.1088/0953-8984/19/6/065114   arXiv:cond-mat/0604269

M. Patriarca, A. Chakraborti, and G. Germano
Influence of saving propensity on the power-law tail of wealth distribution
Physica A 369 (2006) 723  
doi:10.1016/j.physa.2006.01.091   arXiv:physics/0506028

E. Heinsalu, M. Patriarca, I. Goychuk, G. Schmid, and P. Hänggi
Fractional Fokker-Planck dynamics: Numerical algorithm and simulations
Phys. Rev. E 73 (2006) 020101  
doi:10.1103/PhysRevE.73.046133   arXiv:cond-mat/0603516

I. Goychuk, E. Heinsalu, M. Patriarca, G. Schmid, and P. Hänggi
Current and universal scaling in anomalous transport
Phys. Rev. E 73 (2006) 020101  
doi:10.1103/PhysRevE.73.020101   arXiv:cond-mat/0509172

A. Kuronen and M. Patriarca
Atomistic modeling of strain relaxation in hetero-structures
in: Handbook of Theoretical and Computational Nanotechnology,
M. Rieth and W. Schommers editors, American Scientific Publishers, 2005, p. 589–635

M. Patriarca, A. Chakraborti, K. Kaski, and G. Germano
Kinetic theory models for the distribution of wealth: power law from overlap of exponentials
in: Econophysics of Wealth Distributions, Econophys-Kolkata 1,
A. Chatterjee, S.Yarlagadda, B.K. Chakrabarti, Eds., Springer, 2005, p.93-110
doi:10.1007/88-470-0389-X_10   arXiv:physics/0504153

P. Szelestey, M. Patriarca, and K. Kaski
Computational study of a screw dislocation interacting with a stacking fault tetrahedron in Ni
Modelling Simul. Mater. Sci. Eng. 13 (2005) 541  
doi:10.1088/0965-0393/13/4/005

M. Patriarca, P. Szelestey, and E. Heinsalu
Brownian Model of Dissociated Dislocations
Acta Physica Polonica B 36(5) (2005) 1745  
http://www.actaphys.uj.edu.pl/ cur/store/vol36/pdf/v36p1745.pdf 🔓

P. Szelestey, M. Patriarca, and K. Kaski
Dissociated dislocations in Ni: A computational study
Mater. Sci. Eng. A 390 (2005) 393  
doi:10.1016/j.msea.2004.08.014

M. Patriarca
Feynman-Vernon model for a moving thermal environment
Physica E 29 (2005) 243  
doi:10.1016/j.physe.2005.05.021    https://arxiv.org/abs/1803.10300

M. Patriarca and T. Leppänen
Modelling language competition
Physica A 338 (2004) 296  
doi:10.1016/j.physa.2004.02.056

M. Patriarca, A. Chakraborti, and K. Kaski
Gibb’s versus non-Gibb’s distributions in money dynamics
Physica A 340 (2004) 334  
doi:10.1016/j.physa.2004.04.024   arXiv:cond-mat/0312167

M. Patriarca, A. Chakraborti, and K. Kaski
A statistical model with a standard Γ-distribution
Phys. Rev. E 70, (2004) 016104  
doi:10.1103/PhysRevE.70.016104    arXiv:cond-mat/0402200

P. Szelestey, M. Patriarca, and K. Kaski
Computational study of core structure and Peierls stress of dissociated dislocations in Ni
Modelling Simul. Mater. Sci. Eng. 11 (2003) 883  
doi:10.1088/0965-0393/11/6/006

M. Patra, M. Patriarca, and M. Karttunen
Stability of charge inversion, Thomson problem, and application to electrophoresis
Phys. Rev. E 67 (2003) 031402  
doi:10.1103/PhysRevE.67.031402   arXiv:physics/0211006

P. Szelestey, M. Patriarca, L.F. Perondi, and K. Kaski
Modified EAM potentials for modelling stacking fault behavior in Cu, Al, Au, and Ni
Int. J. Mod. Phys. B 16(19) (2002) 2823  
doi:10.1142/S0217979202011226

M. Robles , V. Mustonen, K. Kaski, and M. Patriarca
The influence of many body interactions in the stress-velocity relation for one dislocation in a 2D lattice
2001 MRS Fall Meeting Proc. vol. 701 Symposium T4.10,
MRS-Material Research Society (2002)
doi:10.1557/PROC-701-T4.10.1

M. Patriarca, A. Kuronen, and K. Kaski
Nucleation and dynamics of dislocations in mismatched heterostructures
2001 MRS Fall Meeting Proc. vol. 696 Symposium N4.4,
MRS-Material Research Society (2002)
doi:10.1557/PROC-696-N4.4    arxiv:1804.07105

B.L. Altschuler, C. Biagini, and M. Patriarca
Quantum chaos and transport in mesoscopic systems
in: Field Theories for low dimensional systems, G. Morandi et al. editors,
Springer Series in Solid-State Sciences, vol 131, Springer, Berlin (2000),  p. 235-269
doi:10.1007/978-3-662-04273-1_7 

M. Patriarca
Quantum mechanical versus stochastic processes in path integration
in: Path Integrals from peV to TeV: 50 years after Feynman’s Paper
R. Casalbuoni et al. editors, World Scientific, Singapore, 1999, p.589
arxiv:1801.00510

C. Presilla, R. Onofrio, and M. Patriarca
Classical and quantum measurements of position
J. Phys. A 30(21) (1997) 7385  
doi:10.1088/0305-4470/30/21/014    arXiv:hep-th/9406024

M. Patriarca
Statistical correlations in the oscillator model of quantum dissipative systems
Il Nuovo Cimento B 111 (1996) 61  
doi:10.1007/BF02726201   arxiv:1801.02429

F. Illuminati, M. Patriarca, and P. Sodano
Quantum dissipation in non-homogeneous environments
in: Fluctuation Phenomena: Disorder and Nonlinearity
A.R. Bishop, S. Jimenez and L. Vazquez editors, World Scientific, Singapore (1995), p.53.
doi:10.1142/9789814503877_0012

F. Illuminati, M. Patriarca, and P. Sodano
Classical and quantum dissipation in nonhomogeneous environments
Physica A 211 (1994) 449  
doi:10.1016/0378-4371(94)00171-5   arXiv:hep-th/9406024

F. Marchesoni and M. Patriarca
Self-organized criticality in dislocation networks
Phys. Rev. Lett. 72 (1994) 4101  
doi:10.1103/PhysRevLett.72.4101    

M. Patriarca
Boundary conditions for the Schrödinger equation in the simulation of quantum systems
Phys. Rev. E 50 (1994) 1616 
doi:10.1103/PhysRevE.50.1616 (+ Erratum doi:10.1103/b6qb-59f6)    

M. Patriarca
Quantum Systems in Dissipative Environments, Phd Thesis - English translation
Sistemi Quantistici in Ambienti Dissipativi, Tesi di Dottorato
University of Perugia (1993) 

F. A. Gianturco, M. Patriarca, and O. Roncero
Resonant states and photodissociation cross sections in protonated rare gases
Molecular Physics 67 (1989) 281  
doi:10.1080/00268978900101081  

F. A. Gianturco and M. Patriarca
Accurate Ne-H+ and Ar-H+ interactions from spectroscopic and scattering states
Il Nuovo Cimento 11 D (1989) 1287  
doi:10.1007/BF02450546  

M. Patriarca
Simple Molecular Ions, Master Thesis - English translation
Ioni Molecolari semplici, Tesi di Laurea
La Sapienza University, Rome (1986)