Mathematical Neuroscience Lab, CIRB – Collège de France and Laboratoire de Probabilités et Modèles Aléatoires – Université Pierre et Marie Curie
11, Place Marcelin Berthelot
75005 Paris, FRANCE
office: B 120
phone: (+33) 1 44 27 14 23
email: tanguy.cabana (at) college-de-france (dot) fr
I am a mathematician specialized in probabilities and stochastic analysis, and am currently pursuing a PhD degree in the Laboratoire de Probabilités et Modèles Aléatoires of the Université Pierre et Marie Curie in Paris. I have also been an active member of the Mathematical Neuroscience Team of the Center for Interdisciplinary Research in Biology – Collège de France since fall 2012.
My investigations are involved with the derivation of mean-field results for a large class of neural networks displaying random interactions. These systems undergo a complex – and yet to be explained – transition from stationary solutions toward chaotic ones as the level of heterogeneity is increased. My research interests include stochastic analysis, large deviations, disordered systems, interacting particles, and mean-field theory.
Publication and preprint:
- Large deviations for randomly connected neural networks: II. State-dependent interactions (with J. Touboul) [arXiv preprint]
Large deviations for randomly connected neural networks: I. Spatially extended systems (with J. Touboul) [arXiv preprint]
- Large deviations, dynamics and phase transitions in large stochastic heterogeneous neural networks (with J. Touboul) Journal of Statistical Physics vol 153, issue 2, pages 211-269 (2013) [arXiv preprint].
Posters & Presentations