## Touboul, Jonathan

Compute Distance To:
 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
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### 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.
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### 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
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### 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)

### 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 1322.60205
Baladron, Javier; Fasoli, Diego; Faugeras, Olivier; Touboul, Jonathan
2012
Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier
2012
Propagation of chaos in neural fields. Zbl 1305.60107
Touboul, Jonathan
2014
Bifurcation analysis of a general class of nonlinear integrate-and-fire neurons. Zbl 1149.34027
Touboul, Jonathan
2008
Spiking dynamics of bidimensional integrate-and-fire neurons. Zbl 1204.37019
Touboul, Jonathan; Brette, Romain
2009
On the dynamics of random neuronal networks. Zbl 1360.82071
Robert, Philippe; Touboul, Jonathan
2016
Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. Zbl 1161.92016
Touboul, Jonathan; Brette, Romain
2008
Importance of the cutoff value in the quadratic adaptive integrate-and-fire model. Zbl 1167.92008
Touboul, Jonathan
2009
Mean-field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions. Zbl 1317.92021
Touboul, Jonathan
2012
Limits and dynamics of stochastic neuronal networks with random heterogeneous delays. Zbl 1266.82049
Touboul, Jonathan
2012
A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1147.60027
Touboul, Jonathan; Faugeras, Olivier
2008
Index distribution of the Ginibre ensemble. Zbl 1290.82024
Allez, Romain; Touboul, Jonathan; Wainrib, Gilles
2014
Spatially extended networks with singular multi-scale connectivity patterns. Zbl 1310.82036
Touboul, Jonathan
2014
Dynamics and absorption properties of stochastic equations with Hölder diffusion coefficients. Zbl 1364.60076
Touboul, Jonathan; Wainrib, Gilles
2015
The heterogeneous gas with singular interaction: generalized circular law and heterogeneous renormalized energy. Zbl 1311.82044
del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan
2015
The real Ginibre ensemble with $$k=O(n)$$ real eigenvalues. Zbl 1343.15024
del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan; Wainrib, Gilles
2016
On the simulation of nonlinear bidimensional spiking neuron models. Zbl 1218.92024
Touboul, Jonathan
2011
Exact event-driven implementation for recurrent networks of stochastic perfect integrate-and-fire neurons. Zbl 1268.92052
Taillefumier, Thibaud; Touboul, Jonathan; Magnasco, Marcelo
2012
Erratum to: “Propagation of chaos in neural fields”. Zbl 1434.60304
Touboul, Jonathan
2018
Nonlinear and stochastic models in neuroscience. Zbl 1185.92027
Touboul, Jonathan
2008
A coupled-mode model for water wave scattering by vertically sheared currents in variable bathymetry regions. Zbl 07213191
Belibassakis, K. A.; Simon, B.; Touboul, J.; Rey, V.
2017
Correction: A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1165.60324
Touboul, J.; Faugeras, O.
2009
Pulsatile localized dynamics in delayed neural field equations in arbitrary dimension. Zbl 1345.92039
Faye, Grégory; Touboul, Jonathan
2014
On an explicit representation of the solution of linear stochastic partial differential equations with delays. Zbl 1237.60050
Galtier, Mathieu; Touboul, Jonathan
2012
Multiresolution Hilbert approach to multidimensional Gauss-Markov processes. Zbl 1259.60092
Taillefumier, Thibaud; Touboul, Jonathan
2011
Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain. Zbl 1262.35207
Touboul, Jonathan
2012
Erratum to: “Propagation of chaos in neural fields”. Zbl 1434.60304
Touboul, Jonathan
2018
A coupled-mode model for water wave scattering by vertically sheared currents in variable bathymetry regions. Zbl 07213191
Belibassakis, K. A.; Simon, B.; Touboul, J.; Rey, V.
2017
On the dynamics of random neuronal networks. Zbl 1360.82071
Robert, Philippe; Touboul, Jonathan
2016
The real Ginibre ensemble with $$k=O(n)$$ real eigenvalues. Zbl 1343.15024
del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan; Wainrib, Gilles
2016
Dynamics and absorption properties of stochastic equations with Hölder diffusion coefficients. Zbl 1364.60076
Touboul, Jonathan; Wainrib, Gilles
2015
The heterogeneous gas with singular interaction: generalized circular law and heterogeneous renormalized energy. Zbl 1311.82044
del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan
2015
Propagation of chaos in neural fields. Zbl 1305.60107
Touboul, Jonathan
2014
Index distribution of the Ginibre ensemble. Zbl 1290.82024
Allez, Romain; Touboul, Jonathan; Wainrib, Gilles
2014
Spatially extended networks with singular multi-scale connectivity patterns. Zbl 1310.82036
Touboul, Jonathan
2014
Pulsatile localized dynamics in delayed neural field equations in arbitrary dimension. Zbl 1345.92039
Faye, Grégory; Touboul, Jonathan
2014
Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons. Zbl 1322.60205
Baladron, Javier; Fasoli, Diego; Faugeras, Olivier; Touboul, Jonathan
2012
Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier
2012
Mean-field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions. Zbl 1317.92021
Touboul, Jonathan
2012
Limits and dynamics of stochastic neuronal networks with random heterogeneous delays. Zbl 1266.82049
Touboul, Jonathan
2012
Exact event-driven implementation for recurrent networks of stochastic perfect integrate-and-fire neurons. Zbl 1268.92052
Taillefumier, Thibaud; Touboul, Jonathan; Magnasco, Marcelo
2012
On an explicit representation of the solution of linear stochastic partial differential equations with delays. Zbl 1237.60050
Galtier, Mathieu; Touboul, Jonathan
2012
Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain. Zbl 1262.35207
Touboul, Jonathan
2012
On the simulation of nonlinear bidimensional spiking neuron models. Zbl 1218.92024
Touboul, Jonathan
2011
Multiresolution Hilbert approach to multidimensional Gauss-Markov processes. Zbl 1259.60092
Taillefumier, Thibaud; Touboul, Jonathan
2011
Spiking dynamics of bidimensional integrate-and-fire neurons. Zbl 1204.37019
Touboul, Jonathan; Brette, Romain
2009
Importance of the cutoff value in the quadratic adaptive integrate-and-fire model. Zbl 1167.92008
Touboul, Jonathan
2009
Correction: A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1165.60324
Touboul, J.; Faugeras, O.
2009
Bifurcation analysis of a general class of nonlinear integrate-and-fire neurons. Zbl 1149.34027
Touboul, Jonathan
2008
Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. Zbl 1161.92016
Touboul, Jonathan; Brette, Romain
2008
A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1147.60027
Touboul, Jonathan; Faugeras, Olivier
2008
Nonlinear and stochastic models in neuroscience. Zbl 1185.92027
Touboul, Jonathan
2008
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### 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.
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### 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
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### 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)