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---
layout: archive
author_profile: true
---
<h3>Research </h3>
<font size='3'><p align='justify'>My research interest lies in understanding and explaining how the structure of complex networks shapes the dynamics on top of them. In particular, my research currently focuses on the study of collective dynamics of nonlinear coupled oscillators (mainly Kuramoto model); analysis of spectral properties of complex networks; and statistical characterisation of real-world networks.</p>
<h2> Publications </h2>
(<a href="https://scholar.google.com.br/citations?user=JxuhjCYAAAAJ&hl=en&oi=ao" target="_blank">Google Scholar</a>)
(<a href="https://arxiv.org/search/?query=Thomas+Peron&searchtype=all&source=header" target="_blank">Arxiv</a>)
<h3> New preprints </h3>
<ol reversed>
<li> <p> <a href="https://arxiv.org/abs/2102.02259" target="_blank">Interspecific competition shapes the structural stability of mutualistic networks</a></br>
Xiangrong Wang, Thomas Peron, Johan L. A. Dubbeldam, Sonia Kefi, Yamir Moreno. arXiv (2021).</br>
</p>
</li>
<li> <p> <a href="https://arxiv.org/abs/1910.00544" target="_blank">A machine learning approach to predicting dynamical observables from network structure</a></br>
Francisco A. Rodrigues, Thomas Peron, Colm Connaughton, Jurgen Kurths, Yamir Moreno. arXiv (2019).</br>
</p>
</li>
<li> <p> <a href="https://arxiv.org/abs/1808.02848" target="_blank">Pattern Recognition Approach to Violin Shapes of MIMO database</a></br>
Thomas Peron, Francisco A. Rodrigues, Luciano da F. Costa. arXiv (2018).</br>
</p>
</li>
</ol>
<h3> Journal articles</h3>
<ol reversed>
<li> <p> <a href="https://iopscience.iop.org/article/10.1088/2632-072X/ac4bed/meta" target="_blank">Mean-field theory of vector spin models on networks with arbitrary degree distributions</a></br>
Fernando L. Metz, and Thomas Peron. Journal of Physics: Complexity 3 (1), 015008 (2022).</br>
</p>
</li>
<li> <p> <a href="https://www.sciencedirect.com/science/article/pii/S0960077921008584" target="_blank">Statistical properties of mutualistic-competitive random networks</a></br>
C.T.Martínez-Martínez, J.A.Méndez-Bermúdez, Thomas Peron, and Yamir Moreno. Chaos, Solitons and Fractals 153, 111504 (2021).</br>
</p>
</li>
<li> <p> <a href="https://iopscience.iop.org/article/10.1088/2632-072X/ac35b7/meta" target="_blank">Network processes on clique-networks with high average degree: the limited effect of higher-order structure
</a></br>
Clara Stegehuis, Thomas Peron. Journal of Physics: Complexity 2 (4), 045011 (2021).</br>
</p>
</li>
<li> <p> <a href="https://link.springer.com/article/10.1140/epjs/s11734-021-00269-9" target="_blank">Evolving climate network perspectives on global surface air temperature effects of ENSO and strong volcanic eruptions</a></br>
Tim Kittel, Catrin Ciemer, Nastaran Lotfi, Thomas Peron, Francisco Rodrigues, Jürgen Kurths, and Reik V. Donner. 230, 3075–3100 (2021).</br>
</p>
</li>
<li> <p> <a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.103.042210" target="_blank">Discordant synchronization patterns on directed networks of identical phase oscillators with attractive and repulsive couplings</a></br>
Thomas Peron. Phys. Rev. E 103, 042210 (2021).</br>
</p>
</li>
<li> <p> <a href="https://www.sciencedirect.com/science/article/abs/pii/S1007570421000381" target="_blank">Performance measures after perturbations in the presence of inertia</a></br>
Jiachen Ye, Thomas Peron, Wei Lin, Jürgen Kurths, and Peng Ji</br>
Communications in Nonlinear Science and Numerical Simulation, 97, 105727 (2021).
</p>
</li>
<li> <p> <a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.102.062305" target="_blank">Spacing ratio characterization of the spectra of directed random networks</a></br>
Thomas Peron, Bruno Messias F. de Resende, Francisco A. Rodrigues, Luciano da F. Costa, and J. A. Méndez-Bermúdez</br>
Phys. Rev. E 102, 062305 (2020).
</p>
</li>
<li> <p> <a href="https://www.sciencedirect.com/science/article/abs/pii/S0370157320301071" target="_blank">Complex systems: Features, similarity and connectivity</a></br>
César H. Comin, Thomas Peron, Filipi N. Silva, Diego R. Amancio, Francisco A. Rodrigues, Luciano da F. Costa</br>
Physics Reports, 861:1-41 (2020).
</p>
</li>
<li> <p> <a href="https://www.mitpressjournals.org/doi/abs/10.1162/neco_a_01277" target="_blank">Comparison of different spike train synchrony measures regarding their robustness to erroneous data from bicuculline induced epileptiform activity</a></br>
Manuel Ciba, Robert Bestel, Crhistoph Nick,Guilherme F. de Arruda, Thomas Peron, César Comin, Luciano da F. Costa, Francisco A. Rodrigues, Cristiane Thielemann</br>
Neural Computation, 32, 5 (2020).
</p>
</li>
<li> <p> <a href="https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.013255" target="_blank">Collective dynamics of random Janus oscillator networks</a></br>
Thomas Peron, Deniz Eroglu, Francisco A. Rodrigues, and Yamir Moreno</br>
Phys. Rev. Research, 2, 013255 (2020).
</p>
</li>
<li> <p> <a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.042302" target="_blank">Onset of synchronization of Kuramoto oscillators in scale-free networks</a></br>
Thomas Peron, Bruno Messias, Angélica S. Mata, Francisco A. Rodrigues, and Yamir Moreno</br>
Phys. Rev. E, 100, 042302 (2019).
</p>
</li>
<li> <p> <a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.052218" target="_blank">Interplay among inertia, time delay, and frustrationon synchronization dynamics</a></br>
Fuli Dai, Shijie Zhou, Thomas Peron, Wei Lin, and Peng Ji</br>
Phys. Rev. E, 98, 5, 052218 (2018).</br>
</p>
</li>
<li> <p><a href="https://iopscience.iop.org/article/10.1209/0295-5075/121/68001/meta" target="_blank">Spectra of random networks in the weak clustering regime</a></br>
Thomas K. DM. Peron, Peng Ji, Jürgen Kurths, and Francisco A. Rodrigues</br>
Europhysics Letter (EPL), 121, 68001 (2018).</br>
</p>
</li>
<li> <p><a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.94.042210" target="_blank">Traveling phase waves in asymmetric networks of noisy chaotic attractors</a></br>
Thomas K. DM. Peron, Jürgen Kurths, Francisco A. Rodrigues, Lutz Schimansky-Geier, and Bernard Sonnenschein</br>
Phys. Rev. E 94, 4, 042210 (2016).</br>
</p>
</li>
<li> <p><a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.93.062211" target="_blank">Tweaking synchronization by connectivity modifications</a></br>
Paul Schultz, Thomas Peron, Deniz Eroglu, Thomas Stemler, G. Marcelo R. Ávila, Francisco A. Rodrigues, and Jürgen Kurths</br>
Phys. Rev. E 93, 6, 062211 (2016).</br>
</p>
</li>
<li> <p><a href="https://www.sciencedirect.com/science/article/abs/pii/S0370157315004408" target="_blank">The Kuramoto model in complex networks</a></br>
Francisco A. Rodrigues, Thomas K. DM. Peron, Peng Ji, and Jürgen Kurths</br>
Physics Reports, 610:1-98 (2016).</br>
</p>
</li>
<li> <p><a href="https://www.sciencedirect.com/science/article/pii/S0020025515008245" target="_blank">Concentric network symmetry</a></br>
Filipi N. Silva, Cesar Comin, Thomas K. DM. Peron, Francisco A. Rodrigues, Cheng Ye, Richard C. Wilson, Edwin Hancock, and Luciano da F. Costa</br>
Information Sciences, 333:61–80 (2016).</br>
</p>
</li>
<li> <p><a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.91.062910" target="_blank">Collective dynamics in two populations of noisy oscillators with asymmetric interactions</a></br>
Bernard Sonnenschein, Thomas K. DM. Peron, Francisco A. Rodrigues, and Lutz Schimansky-Geier</br>
Phys. Rev. E 91, 6, 062910 (2015).</br>
</p>
</li>
<li> <p><a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.91.052805" target="_blank">Effects of assortative mixing in the second-order Kuramoto model</a></br>
Thomas K. DM. Peron, Peng Ji, Francisco A. Rodrigues, and Jürgen Kurths</br>
Phys. Rev. E 91, 5, 052805 (2015).</br>
</p>
</li>
<li> <p><a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.032810" target="_blank">Thermodynamic characterization of networks using graph polynomials</a></br>
Cheng Ye, César H. Comin, Thomas K. DM. Peron, Filipi N. Silva, Francisco A. Rodrigues, Luciano da F. Costa, Andrea Torsello, and Edwin R. Hancock</br>
Phys. Rev. E 92, 3, 032810 (2015).</br>
</p>
</li>
<li> <p><a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.91.032122" target="_blank">Universality in the spectral and eigenfunction properties of random networks</a></br>
J. A. Méndez-Bermúdez, A. Alcazar-López, A. J. Martínez-Mendoza, Francisco A. Rodrigues and Thomas K. DM. Peron</br>
Phys. Rev. E 91, 3, 032122 (2015).</br>
</p>
</li>
<li> <p><a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.90.042919" target="_blank">Entropy of weighted recurrence plots</a></br>
Deniz Eroglu, Thomas K. DM. Peron, Norbert Marwan, Francisco A. Rodrigues, Luciano da F. Costa, Michael Sebek, Istvan Kiss, and Jürgen Kurths</br>
Phys. Rev. E 90, 4, 042919 (2014).</br>
</p>
</li>
<li> <p><a href="https://www.nonlin-processes-geophys.net/21/1127/2014/" target="_blank">Correlations Between Climate Network and Relief Data</a></br>
Thomas K. DM. Peron, Cesar Comin, Diego Amancio, Luciano da F. Costa, Francisco A. Rodrigues, and Jürgen Kurths</br>
Nonlinear Processes in Geophysics, 21: 1127–1132 (2014).</br>
</p>
</li>
<li> <p><a href="https://link.springer.com/article/10.1140/epjb/e2014-50274-2" target="_blank">Cooperative behavior between oscillatory and excitable units: the peculiar role of positive coupling-frequency correlations</a></br>
Bernard Sonnenschein, Thomas K. DM. Peron, Francisco A. Rodrigues, Jürgen Kurths, and Lutz SchimanskyGeier</br>
European Physical Journal B, 87:182 (2014).</br>
</p>
</li>
<li> <p><a href="https://www.nature.com/articles/srep04783" target="_blank">Low-dimensional behavior of Kuramoto model with inertia in complex networks</a></br>
Peng Ji, Thomas K. DM. Peron, Francisco A. Rodrigues, and Jürgen Kurths</br>
Scientific Reports, 4:4783 (2014).</br>
</p>
</li>
<li> <p><a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.90.062810" target="_blank">Analysis of cluster explosive synchronization in complex networks</a></br>
Peng Ji, Thomas K. DM. Peron, Francisco A. Rodrigues, and Jürgen Kurths</br>
Phys. Rev. E 90, 6, 062810 (2014).</br>
</p>
</li>
<li> <p><a href="https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.218701" target="_blank">Cluster explosive synchronization in complex networks</a></br>
Peng Ji, Thomas K. DM. Peron, Peter J. Menck, Francisco A. Rodrigues, and Jürgen Kurths</br>
Phys. Rev. Lett. 110, 21, 218701 (2013).</br>
</p>
</li>
<li> <p><a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.87.032807" target="_blank">Synchronization of clustered random networks</a></br>
Thomas K. DM. Peron, Francisco A. Rodrigues, and Jürgen Kurths</br>
Phys. Rev. E 87, 3, 032807 (2013).</br>
</p>
</li>
<li> <p><a href="https://link.springer.com/article/10.1007/s10955-013-0775-z" target="_blank">The influence of network properties on the synchronization of Kuramoto oscillators quantified by a Bayesian regression analysis</a></br>
Guilherme F. de Arruda, Thomas K. DM. Peron, Marinho G. de Andrade, Jorge A. Achcar, and Francisco A. Rodrigues</br>
Journal of Statistical Physics, 152, 3, 519–533 (2013).</br>
</p>
</li>
<li> <p><a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.86.056108" target="_blank">Determination of the critical coupling of explosive synchronization transitions in scale-free networks by mean-field approximations</a></br>
Thomas K. DM. Peron and Francisco A. Rodrigues</br>
Phys. Rev. E 86, 5, 056108 (2012).</br>
</p>
</li>
<li> <p><a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.86.016102" target="_blank">Explosive synchronization enhanced by time-delayed coupling</a></br>
Thomas K. DM. Peron and Francisco A. Rodrigues</br>
Phys. Rev. E 86, 1, 016102 (2012).</br>
</p>
</li>
<li> <p><a href="https://aip.scitation.org/doi/abs/10.1063/1.3683467" target="_blank">The structure and resilience of financial market networks</a></br>
Thomas K. DM. Peron, Luciano da F. Costa and Francisco A. Rodrigues</br>
Chaos, 22, 01311 (2012).</br>
</p>
</li>
<li> <p><a href="https://iopscience.iop.org/article/10.1209/0295-5075/96/48004/meta" target="_blank">Collective behavior in financial markets</a></br>
Thomas K. DM. Peron and and Francisco A. Rodrigues</br>
Europhysics Letters (EPL) 96, 4 (2011).</br>
</p>
</li>
</ol>
<h3> Thesis </h3>
Thomas K. DM. Peron, <a href="http://www.teses.usp.br/teses/disponiveis/76/76132/tde-21092017-100820/publico/ThomasKaueDalMasoPeron_DO_corrigida.pdf" target="_blank">Dynamics of Kuramoto oscillators in complex networks</a>, 2017.