2005

Blanchet, Adrien, Dolbeault, Jean and Monneau, Régis (2005) "On the one-dimensional parabolic obstacle problem with variable coefficients". Progress in Nonlinear Differential Equations and Their Applications, vol.63. pp. 59-66.

2006

Blanchet, Adrien (2006) On the singular set of the parabolic obstacle problem. Communication in Partial Differential Equations, 231 (2).

Blanchet, Adrien (2006) On the regularity of the free boundary in the parabolic obstacle problem. Application to American options. Nonlinear Analysis: Theory, Methods & Applications, 65 (7). pp. 1362-1378.

Blanchet, Adrien, Dolbeault, Jean and Perthame, Benoit (2006) Two-dimensional Keller-Segel model: optimal critical mass and qualitative properties of the solutions. Electronic Journal of Differential Equations, 2006 (44). pp. 1-33.

2007

Blanchet, Adrien, Bonforte, Matteo, Dolbeault, Jean, Grillo, Gabriele and Vazquez, Juan-Luis (2007) Hardy-Poincaré inequalities and applications to nonlinear diffusions. Comptes rendus. Mathématique, 344 (7). pp. 431-436.

2008

Blanchet, Adrien, Dolbeault, Jean and Kowalczyk, Michal (2008) Travelling fronts in stochastic Stokes' drifts. Physica A, 387 (23). pp. 5741-5751.

Blanchet, Adrien, Calvez, Vincent and Carrillo, José (2008) Convergence of the mass-transport steepest descent scheme for the sub-critical Keller-Segel model. SIAM Journal on Numerical Analysis (SINUM), vol.46 (n°2). pp. 691-721.

Blanchet, Adrien, Carrillo, José and Masmoudi, Nader (2008) Infinite time aggregation for the critical Patlak-Keller-Segel model in R2. Communications on Pure and Applied Mathematics, 61 (10). pp. 1449-1481.

2009

Blanchet, Adrien, Bonforte, Matteo, Dolbeault, Jean, Grillo, Gabriele and Vazquez, Juan-Luis (2009) Asymptotics of the fast diffusion equation via entropy estimates. Archive for Rational Mechanics and Analysis, 191 (2). pp. 347-385.

Blanchet, Adrien, Carrillo, José and Laurençot, Philippe (2009) Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions. Calculus of Variations and Partial Differential Equations, 35 (2). pp. 133-168.

Blanchet, Adrien, Dolbeault, Jean and Kowalczyk, Michal (2009) Stochastic Stokes' drift, homogenized functional inequalities, and large time behavior of Brownian ratchets. SIAM Journal on Mathematical Analysis, 41 (1). pp. 46-76.

2010

Blanchet, Adrien, Dolbeault, Jean, Escobedo, Miguel and Fernandez, Javier (2010) Asymptotic behaviour for small mass in the two-dimensional parabolic-elliptic Keller-Segel model. Journal of Mathematical Analysis and Applications, 361 (2). pp. 533-542.

Agueh, Martial, Blanchet, Adrien and Carrillo, José (2010) Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime. Journal of Evolution Equations, 10 (1). pp. 59-84.

2011

Bartier, Jean-Philippe, Blanchet, Adrien, Dolbeault, Jean and Escobedo, Miguel (2011) Improved intermediate asymptotics for the heat equation. Applied Mathematics Letters, vol. 24 (n° 1). pp. 76-81.

Blanchet, Adrien (2011) On the parabolic-elliptic Patlak-Keller-Segel system in dimension 2 and higher. Séminaire équations aux dérivées partielles - Séminaire Laurent Schwartz — (n°8).

2012

Blanchet, Adrien and Carlier, Guillaume (2012) Optimal Transport and Cournot-Nash Equilibria. TSE Working Paper, n. 12-321

Blanchet, Adrien and Laurençot, Philippe (2012) Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion. Communications on Pure and Applied Mathematics, 11 (1). pp. 47-60.

Blanchet, Adrien, Carlen, Eric and Carrillo, José (2012) Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model. Journal of Functional Analysis, 261 (5). pp. 2142-2230.

2013

Blanchet, Adrien (2013) A gradient flow approach to the Keller-Segel systems. RIMS Kokyuroku's lecture note, vol.1837. pp. 52-73.

Blanchet, Adrien and Laurençot, Philippe (2013) The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in R-d, d >= 3. Communication in Partial Differential Equations, 38 (4). pp. 658-686.

2014

Blanchet, Adrien and Carlier, Guillaume (2014) From Nash to Cournot–Nash equilibria via the Monge–Kantorovich problem. Philosophical Transactions of the Royal Society Series A, Physical sciences and engineering, vol.372 (n°2028).

Blanchet, Adrien and Carlier, Guillaume (2014) Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case. Mathematics and Financial Economics, vol. 8 (n° 4). pp. 417-433.

Blanchet, Adrien, Mossay, Pascal and Santambrogio, Filippo (2014) Existence and uniqueness of equilibrium for a spatial model of social interactions. TSE Working Paper, n. 14-489

2015

Blanchet, Adrien, Carrillo, José, Kinderlehrer, David, Kowalczyk, Michal, Laurençot, Philippe and Lisini, Stefano (2015) A hybrid variational principle for the Keller–Segel system in R2. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 49 (n° 6). pp. 1553-1576.

Blanchet, Adrien and Carlier, Guillaume (2015) Optimal Transport and Cournot-Nash Equilibria. Mathematics of Operations Research, vol. 41 (n° 1). pp. 125-145.

Amblard, Fréderic, Miguel, J. Francisco, Blanchet, Adrien and Gaudou, Benoit, eds. (2015) Advances in Artificial Economics. Collection « Lecture Notes in Economics and Mathematical Systems », 676. Springer International Publishing ISBN 978-3319095776

Amblard, Frédéric, Blanchet, Adrien, Gaudou, Benoit and Miguel, F.J. (2015) Advances in Artificial Economics. Springer ISBN 978-3-319-09578-3

2016

Blanchet, Adrien and Degond, Pierre (2016) Topological Interactions in a Boltzmann-Type Framework. Journal of Statistical Physics, vol. 163 (n° 1). pp. 41-60.

Blanchet, Adrien, Mossay, Pascal and Santambrogio, Filippo (2016) Existence and uniqueness of equilibrium for a spatial model of social interactions. International Economic Review, vol. 57 (n° 1). pp. 31-60.

2017

Blanchet, Adrien, Cezera, Stéphane, Escobedo, Ramon, Jayles, Bertrand, Kameda, Tatsuya, Kim, H.-R., Sire, Clément and Théraulaz, Guy (2017) How social information can improve estimation accuracy in human groups. Proceedings of the National Academy of Sciences of the United States of America (PNAS), vol. 114 (n° 47).

Blanchet, Adrien and Degond, Pierre (2017) Kinetic models for topological nearest-neighbor interactions. Journal of Statistical Physics, 169 (5). pp. 929-950.

Blanchet, Adrien, Carlier, Guillaume and Nenna, Luca (2017) Computation of Cournot-Nash equilibria by entropic regularization. TSE Working Paper, n. 17-785, Toulouse

Blanchet, Adrien and Degond, Pierre (2017) Kinetic models for topological nearest-neighbor interactions. TSE Working Paper, n. 17-786, Toulouse

Blanchet, Adrien and Degond, Pierre (2017) Kinetic models for topological nearest-neighbor interactions. IAST Working Paper, n. 17-65, Toulouse

Blanchet, Adrien and Bolte, Jérôme (2017) A family of functional inequalities: lojasiewicz inequalities and displacement convex functions. TSE Working Paper, n. 17-787, Toulouse

Blanchet, Adrien and Bolte, Jérôme (2017) A family of functional inequalities: lojasiewicz inequalities and displacement convex functions. IAST Working Paper, n. 17-66, Toulouse

2018

Blanchet, Adrien and Bolte, Jérôme (2018) A family of functional inequalities: Lojasiewicz inequalities and displacement convex functions. Journal of Functional Analysis, vol. 25 (n° 7). pp. 1650-1673.

2020

Jayles, Bertrand, Escobedo, Ramon, Pasqua, Roberto, Zanon, Christophe, Blanchet, Adrien, Roy, Matthieu, Tredan, Gilles, Théraulaz, Guy and Sire, Clément (2020) Collective Information Processing in Human Phase Separation. Philosophical Transactions of the Royal Society B: Biological Sciences, vol.375 (n°1807).

Jayles, Bertrand, Escobedo, Ramon, Cezera, Stéphane, Blanchet, Adrien, Kameda, Tatsuya, Sire, Clément and Théraulaz, Guy (2020) The impact of incorrect social information on collective wisdom in human groups. Journal of the Royal Society Interface, vol. 17 (170).

Jayles, Bertrand, Escobedo, Ramon, Cezera, Stéphane, Blanchet, Adrien, Kameda, Tatsuya, Sire, Clément and Théraulaz, Guy (2020) The impact of incorrect social information on collective wisdom in human groups. TSE Working Paper, n. 1101, Toulouse