Papers and preprints


  1. Branching random walks on binary strings and application to adaptive immunity
    I. Balelli, V. Milisic and G. Wainrib, submitted. [arxiv]

  2. Network modeling of Crohn's disease
    Jean-Marc Victor, Gaëlle Debret, Annick Lesne, Leigh Pascoe, Pascal Carrivain, Gilles Wainrib, Jean-Pierre Hugot, submitted.

  3. Mathematical modeling of lymphocytes selection in the germinal center
    V.Milisic and G.Wainrib, submitted [arxiv]

  4. The real Ginibre ensemble with k=0(n) real eigenvalues
    L.C. Garcia del Molino, K. Pakdaman, J.Touboul and G. Wainrib, submitted [arxiv]

  5. Regular graphs maximize the variability of random neural networks 
    G. Wainrib and M.Galtier,  submitted [arxiv]

  6. A local Echo State Property through the largest Lyapunov exponent
    M. Galtier and G.Wainrib, submitted [arxiv]

  7. Index Distribution of the Ginibre Ensemble, 
    Journal of Physics A: Mathematical and Theoretical
    47 042001 (2014) 
    [arxiv]
    R.Allez, J.Touboul and G.Wainrib

  8. Absorption properties of stochastic equations with Hölder diffusion coefficients,
    J.Touboul and G.Wainrib, submitted [arxiv]

  9. Relative entropy minimizing noisy non-linear neural network to approximate stochastic processes,
    Neural Networks (2014)
    M. Galtier, C. Marini, G. Wainrib, H. Jaeger. [arxiv]

  10. Chaos 23, 043134 (2013) [pdf]
    G.Wainrib and L.C. Garcia del Molino

  11. Synchronization in random balanced networks,
    Physical Review E 88 Issue 4 (2013)
    L.C. Garcia del Molino, K. Pakdaman, J. Touboul and G. Wainrib 
    [arxiv]

  12. A biological gradient descent for prediction through a combination of STDP and homeostatic plasticity, 
    Neural Computation25, 2815–2832 (2013) 
    M.Galtier and G.Wainrib  
    [pdf]

  13. Double averaging principle for periodically forced slow-fast stochastic systems,
    Electronic Communications in Probability, vol18 (2013)
    G.Wainrib  [pdf]


  14. Topological and dynamical complexity of random neural networks,
    Physical Review Letters, 110, 118101 (2013)
    G.Wainrib and J.Touboul  [arxiv]


  15. Multiscale analysis of neuronal learning models with noise,
    The Journal of Mathematical Neuroscience, 2 (1) 13 (2012)
    M.Galtier and G.Wainrib


  16. A brief introduction to large deviations theory,
    Stochastic biomathematical models. Vol. 2058 of the Lecture Notes in Mathematics series (Biosciences subseries)(2012)
    G.Wainrib

  17. Some numerical methods for rare events simulation and analysis,
    Stochastic biomathematical models. Vol. 2058 of the Lecture Notes in Mathematics series (Biosciences subseries), (2012)
    G.Wainrib

  18. Limit theorems for infinite-dimensional piecewise deterministic processes. Applications to stochastic excitable membrane models,
    Electronic Journal of Probability, vol 17 (2012)
    M.Riedler, M.Thieullen and G.Wainrib


  19. Asymptotic expansion and central limit theorem for multiscale piecewise-deterministic Markov processes
    Stochastic Processes and their Applications, 122(6) (2012)
    M.Thieullen, K.Pakdaman, G.Wainrib  [pdf]


  20. Noise-controlled dynamics through the averaging principle for stochastic slow-fast systems,
    Physical Review E84, 051113 (2011)
    G.Wainrib [pdf]


  21. Reduction of stochastic conductance-based neuron models with time-scales separation,
    Journal of Computational Neurosciences (2011)
    G.Wainrib, M.Thieullen, K.Pakdaman. [pdf]


  22. Intrinsic variability of latency to first-spike,
    Biological Cybernetics (2010)
     G.Wainrib, M.Thieullen, K.Pakdaman. [pdf]


  23. Diffusion approximation of birth-death processes : comparison in terms of large deviations and exit point,
    Statistics and Probability Letters (2010)
    M.Thieullen, K.Pakdaman, G.Wainrib. [pdf]


  24. Fluid limit theorems for stochastic hybrid systems and applications to neuron models,
    Advances in Applied Probability (2010)
    M.Thieullen, K.Pakdaman, G.Wainrib. [pdf]





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Gilles Wainrib,
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chaos.pdf
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Gilles Wainrib,
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Gilles Wainrib,
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Gilles Wainrib,
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Gilles Wainrib,
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Gilles Wainrib,
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Gilles Wainrib,
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Gilles Wainrib,
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Gilles Wainrib,
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Gilles Wainrib,
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Gilles Wainrib,
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Gilles Wainrib,
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