Edit Profile (opens in new tab) Touboul, Jonathan Compute Distance To: Compute Author ID: touboul.jonathan Published as: Touboul, Jonathan; Touboul, J. External Links: MGP Documents Indexed: 31 Publications since 2008, including 1 Book Co-Authors: 4 Co-Authors with 7 Joint Publications 95 Co-Co-Authors all top 5 Co-Authors 11 single-authored 4 Faugeras, Olivier D. 3 Wainrib, Gilles 2 Belibassakis, Konstadinos A. 2 Brette, Romain 2 del Molino, Luis Carlos García 2 Pakdaman, Khashayar 2 Taillefumier, Thibaud 1 Allez, Romain 1 Baladron, Javier 1 Fasoli, Diego 1 Faye, Grégory 1 Galtier, Mathieu N. 1 Hermann, Geoffroy 1 Kraenkel, Roberto A. 1 Magnasco, Marcelo O. 1 Manna, Miguel A. 1 Noubissié, Samuel 1 Robert, Philippe 1 Romagnoni, Alberto 1 Schwartz, Robert N. all top 5 Serials 4 Journal of Statistical Physics 4 Wave Motion 4 Neural Computation 2 Advances in Applied Probability 2 Physica D 2 The Annals of Applied Probability 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Applied Dynamical Systems 2 Journal of Physics A: Mathematical and Theoretical 2 Mathematical Control and Related Fields 1 Biological Cybernetics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Stochastic Analysis 1 The Journal of Mathematical Neuroscience all top 5 Fields 15 Biology and other natural sciences (92-XX) 13 Probability theory and stochastic processes (60-XX) 8 Partial differential equations (35-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Ordinary differential equations (34-XX) 5 Numerical analysis (65-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Fluid mechanics (76-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 Difference and functional equations (39-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 288 times in 40 Documents Cited by ▼ Year ▼ Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons. Zbl 1322.60205Baladron, Javier; Fasoli, Diego; Faugeras, Olivier; Touboul, Jonathan 56 2012 Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier 34 2012 Propagation of chaos in neural fields. Zbl 1305.60107Touboul, Jonathan 29 2014 Bifurcation analysis of a general class of nonlinear integrate-and-fire neurons. Zbl 1149.34027Touboul, Jonathan 27 2008 Spiking dynamics of bidimensional integrate-and-fire neurons. Zbl 1204.37019Touboul, Jonathan; Brette, Romain 21 2009 On the dynamics of random neuronal networks. Zbl 1360.82071Robert, Philippe; Touboul, Jonathan 19 2016 Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. Zbl 1161.92016Touboul, Jonathan; Brette, Romain 17 2008 Importance of the cutoff value in the quadratic adaptive integrate-and-fire model. Zbl 1167.92008Touboul, Jonathan 15 2009 Mean-field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions. Zbl 1317.92021Touboul, Jonathan 12 2012 Limits and dynamics of stochastic neuronal networks with random heterogeneous delays. Zbl 1266.82049Touboul, Jonathan 10 2012 A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1147.60027Touboul, Jonathan; Faugeras, Olivier 9 2008 Index distribution of the Ginibre ensemble. Zbl 1290.82024Allez, Romain; Touboul, Jonathan; Wainrib, Gilles 7 2014 Spatially extended networks with singular multi-scale connectivity patterns. Zbl 1310.82036Touboul, Jonathan 7 2014 Dynamics and absorption properties of stochastic equations with Hölder diffusion coefficients. Zbl 1364.60076Touboul, Jonathan; Wainrib, Gilles 5 2015 The heterogeneous gas with singular interaction: generalized circular law and heterogeneous renormalized energy. Zbl 1311.82044del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan 3 2015 The real Ginibre ensemble with \(k=O(n)\) real eigenvalues. Zbl 1343.15024del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan; Wainrib, Gilles 2 2016 On the simulation of nonlinear bidimensional spiking neuron models. Zbl 1218.92024Touboul, Jonathan 2 2011 Exact event-driven implementation for recurrent networks of stochastic perfect integrate-and-fire neurons. Zbl 1268.92052Taillefumier, Thibaud; Touboul, Jonathan; Magnasco, Marcelo 2 2012 Erratum to: “Propagation of chaos in neural fields”. Zbl 1434.60304Touboul, Jonathan 2 2018 Nonlinear and stochastic models in neuroscience. Zbl 1185.92027Touboul, Jonathan 2 2008 A coupled-mode model for water wave scattering by vertically sheared currents in variable bathymetry regions. Zbl 07213191Belibassakis, K. A.; Simon, B.; Touboul, J.; Rey, V. 2 2017 Correction: A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1165.60324Touboul, J.; Faugeras, O. 1 2009 Pulsatile localized dynamics in delayed neural field equations in arbitrary dimension. Zbl 1345.92039Faye, Grégory; Touboul, Jonathan 1 2014 On an explicit representation of the solution of linear stochastic partial differential equations with delays. Zbl 1237.60050Galtier, Mathieu; Touboul, Jonathan 1 2012 Multiresolution Hilbert approach to multidimensional Gauss-Markov processes. Zbl 1259.60092Taillefumier, Thibaud; Touboul, Jonathan 1 2011 Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain. Zbl 1262.35207Touboul, Jonathan 1 2012 Erratum to: “Propagation of chaos in neural fields”. Zbl 1434.60304Touboul, Jonathan 2 2018 A coupled-mode model for water wave scattering by vertically sheared currents in variable bathymetry regions. Zbl 07213191Belibassakis, K. A.; Simon, B.; Touboul, J.; Rey, V. 2 2017 On the dynamics of random neuronal networks. Zbl 1360.82071Robert, Philippe; Touboul, Jonathan 19 2016 The real Ginibre ensemble with \(k=O(n)\) real eigenvalues. Zbl 1343.15024del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan; Wainrib, Gilles 2 2016 Dynamics and absorption properties of stochastic equations with Hölder diffusion coefficients. Zbl 1364.60076Touboul, Jonathan; Wainrib, Gilles 5 2015 The heterogeneous gas with singular interaction: generalized circular law and heterogeneous renormalized energy. Zbl 1311.82044del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan 3 2015 Propagation of chaos in neural fields. Zbl 1305.60107Touboul, Jonathan 29 2014 Index distribution of the Ginibre ensemble. Zbl 1290.82024Allez, Romain; Touboul, Jonathan; Wainrib, Gilles 7 2014 Spatially extended networks with singular multi-scale connectivity patterns. Zbl 1310.82036Touboul, Jonathan 7 2014 Pulsatile localized dynamics in delayed neural field equations in arbitrary dimension. Zbl 1345.92039Faye, Grégory; Touboul, Jonathan 1 2014 Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons. Zbl 1322.60205Baladron, Javier; Fasoli, Diego; Faugeras, Olivier; Touboul, Jonathan 56 2012 Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier 34 2012 Mean-field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions. Zbl 1317.92021Touboul, Jonathan 12 2012 Limits and dynamics of stochastic neuronal networks with random heterogeneous delays. Zbl 1266.82049Touboul, Jonathan 10 2012 Exact event-driven implementation for recurrent networks of stochastic perfect integrate-and-fire neurons. Zbl 1268.92052Taillefumier, Thibaud; Touboul, Jonathan; Magnasco, Marcelo 2 2012 On an explicit representation of the solution of linear stochastic partial differential equations with delays. Zbl 1237.60050Galtier, Mathieu; Touboul, Jonathan 1 2012 Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain. Zbl 1262.35207Touboul, Jonathan 1 2012 On the simulation of nonlinear bidimensional spiking neuron models. Zbl 1218.92024Touboul, Jonathan 2 2011 Multiresolution Hilbert approach to multidimensional Gauss-Markov processes. Zbl 1259.60092Taillefumier, Thibaud; Touboul, Jonathan 1 2011 Spiking dynamics of bidimensional integrate-and-fire neurons. Zbl 1204.37019Touboul, Jonathan; Brette, Romain 21 2009 Importance of the cutoff value in the quadratic adaptive integrate-and-fire model. Zbl 1167.92008Touboul, Jonathan 15 2009 Correction: A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1165.60324Touboul, J.; Faugeras, O. 1 2009 Bifurcation analysis of a general class of nonlinear integrate-and-fire neurons. Zbl 1149.34027Touboul, Jonathan 27 2008 Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. Zbl 1161.92016Touboul, Jonathan; Brette, Romain 17 2008 A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1147.60027Touboul, Jonathan; Faugeras, Olivier 9 2008 Nonlinear and stochastic models in neuroscience. Zbl 1185.92027Touboul, Jonathan 2 2008 all cited Publications top 5 cited Publications all top 5 Cited by 67 Authors 5 Campbell, Sue Ann 5 Nicola, Wilten 5 Touboul, Jonathan David 4 Cáceres, María-José 3 Cessac, Bruno 3 Rubin, Jonathan E. 3 Signerska-Rynkowska, Justyna 2 Chen, Shyan-Shiou 2 Cheng, Chang-Yuan 2 Luçon, Eric 2 Perthame, Benoît 2 Quiñinao, Cristobal 2 Schneider, Ricarda 2 Skinner, Frances K. 2 Stannat, Wilhelm 2 Vidal, Alexandre 1 Ascione, Giacomo 1 Brette, Romain 1 Carrillo de la Plata, José Antonio 1 Chen, Qiaoling 1 Chen, Rui-Hua 1 Clopath, Claudia 1 Doelman, Arjen 1 D’Onofrio, Giuseppe 1 Dur-e-Ahmad, Muhammad 1 Ferguson, Katie A. 1 Galtier, Mathieu N. 1 Gerstner, Wulfram 1 Holmes, Philip J. 1 Jiang, Haijun 1 Kaabi, Mohamed Ghaith 1 Kostal, Lubomir 1 Kothare, Mayuresh V. 1 Krupa, Maciej 1 Kumar, Gautam 1 Lin, Yi-Ru 1 Longtin, André 1 Ly, Cheng 1 MacLaurin, James N. 1 Magnasco, Marcelo O. 1 Marcille, Nicolas 1 Martinez, Dominique 1 Mehri, Sima 1 Mihalaş, Ştefan 1 Naud, Richard 1 Niebur, Ernst 1 Njap, Felix 1 Pirozzi, Enrica 1 Prasolov, Timofeĭ Vycheslavovich 1 René, Alexandre 1 Rodriguez, Roger 1 Rostro, H. 1 Salhi, Jamil 1 Scheutzow, Michael K. R. 1 Shlizerman, Eli 1 Taillefumier, Thibaud 1 Teng, Zhi-dong 1 Tonnelier, Arnaud 1 Toumi, Salwa 1 Truccolo, Wilson A. 1 Tuckwell, Henry C. 1 van der Scheer, H. T. 1 Vasquez, J. C. 1 Viéville, Thierry 1 Wainrib, Gilles 1 Y. Ho, Ernest C. 1 Zangeneh, Bian Z. all top 5 Cited in 21 Serials 6 Neural Computation 4 Journal of Computational Neuroscience 3 Biological Cybernetics 3 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Statistical Physics 2 Acta Applicandae Mathematicae 2 The Annals of Applied Probability 2 Stochastic Processes and their Applications 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 SIAM Journal on Applied Dynamical Systems 2 The Journal of Mathematical Neuroscience 1 Journal of Mathematical Biology 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Nonlinear Dynamics 1 Chaos 1 Stochastics and Dynamics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Kinetic and Related Models 1 Journal of Theoretical Biology all top 5 Cited in 11 Fields 31 Biology and other natural sciences (92-XX) 14 Dynamical systems and ergodic theory (37-XX) 11 Ordinary differential equations (34-XX) 9 Probability theory and stochastic processes (60-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Partial differential equations (35-XX) 4 Numerical analysis (65-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Integral equations (45-XX) Citations by Year