Articles parus

- S. Assoulamani, M. Quincampoix, S. Sorin,
Repeated games and qualitative differential games : approachability and comparison of strategies,
SIAM J. on Control and Optimization, 48, 2461-2479, 2009.

- H. Attouch, J. Bolte,
On the Convergence of the Proximal Algorithm for Nonsmooth Functions Involving Analytic Features,
Mathematical Programming, 116, pp. 5-16, 2009.

- H. Attouch, M. Soueycatt,
Augmented Lagrangian and proximal alternating direction methods of multipliers in Hilbert spaces. Applications to games, PDE's and control,
Pacific Journal of Optimization, 5, pp. 17-37, 2009.

- H. Attouch, L. M. Briceño-Arias, and P. L. Combettes,
A parallel splitting method for coupled monotone inclusions,
SIAM J. on Control and Optimization, 48, pp 3246-3270, 2010.

- H. Attouch and M.-O. Czarnecki,
Asymptotic behavior of coupled dynamical systems with mutiscale aspects,
J. Differential Equations, 248, pp. 1315-1344, 2010.

- H. Attouch, J. Bolte, P. Redont, and A. Soubeyran,
Proximal alternating minimization and projection methods for nonconvex problems. An approach based on the Kurdyka-Lojasiewicz inequality,
Mathematics of Operations Research, 35, pp 438-457, 2010.

- H. Attouch and A. Soubeyran,
Local search proximal algorithms as decision dynamics with costs to move,
Set-Valued Analysis, 19, pp. 157-177, 2011.

- H. Attouch, M.-O. Czarnecki, and J. Peypouquet,
Prox-penalization and splitting methods for constrained variational problems,
SIAM J. Optimization, 21, pp. 149-173, 2011.

- H. Attouch and B. Svaiter,
A continuous dynamical Newton-like approach to solving monotone inclusions,
SIAM J. on Control and Optimization, 49, pp. 574-598, 2011.

- B. Baji, A. Cabot, On some curvature-dependent steplength for the gradient method,
Journal of Convex Analysis, 17, 765-780, 2010.

- H. H. Bauschke and P. L. Combettes,
The Baillon-Haddad theorem revisited,
Journal of Convex Analysis, 17, pp. 781-787, 2010.

- H. H. Bauschke, R. S. Burachik, P. L. Combettes, V. Elser, D. R. Luke, and H. Wolkowicz (Editors),
Fixed-Point Algorithms for Inverse Problems in Science and Engineering.
Springer-Verlag, New York, 2011.

- H. H. Bauschke and P. L. Combettes,
Convex Analysis and Monotone Operator Theory in Hilbert Spaces.
Springer, New York, 2011.

- J. Bolte, A. Daniilidis, A. Lewis,
Tame Functions are Semismooth,
Mathematical Programming, 117, pp. 5-19, 2009.

- J. Bolte, A. Daniilidis, O. Ley et L. Mazet,
Characterizations of Lojasiewicz inequalities and applications: subgradient flows, talweg, convexity,
Transactions of the AMS, 362, 3319-3363, 2010.

- J. Bolte, P. L. Combettes, and J.-C. Pesquet,
Alternating proximal algorithm for blind image recovery,
Proceedings of the IEEE International Conference on Image Processing. Hong-Kong, September 26-29, 2010.

- J. Bolte, A. Daniilidis, A. Lewis,
Generic identifiability and second-order sufficiency in tame convex optimization,
Mathematics of Operations Research, 36, pp 55-70, 2011.

- L. M. Briceño -Arias and P. L. Combettes,
Convex variational formulation with smooth coupling for multicomponent signal decomposition and recovery,
Numerical Mathematics: Theory, Methods, and Applications, 2, pp. 485-508, 2009.

- L. M. Briceño -Arias, P. L. Combettes, J.-C. Pesquet, and N. Pustelnik,
Proximal method for geometry and texture image decomposition,
Proceedings of the IEEE International Conference on Image Processing. Hong-Kong, September 26-29, 2010.

- L. M. Briceño-Arias, P. L. Combettes, J.-C. Pesquet, and N. Pustelnik,
Proximal algorithms for multicomponent image recovery problems,
Journal of Mathematical Imaging and Vision, 2011.

- A. Cabot, H. Engler, S. Gadat,
Second-order differential equations with asymptotically small dissipation and piecewise flat potentials,
Electronic Journal of Differential Equations, 17, 33-38, 2009.

- A. Cabot,
Asymptotics for a gradient system with memory term,
Proceedings of the American Mathematical Society, 137, 3013-3024, 2009.

- A. Cabot, H. Engler, S. Gadat, On the long time behavior of second order differential equations with asymptotically small dissipation,
Transactions of the American Mathematical Society, 361, 5983-6017, 2009.

- A. Cabot, P. Frankel,
Asymptotics for some proximal-like method involving inertia and memory aspects,
Set Valued and Variational Analysis, 19, 59-74, 2011.

- Y. Censor, W. Chen, P. L. Combettes, R. Davidi, and G. T. Herman,
On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints,
Computational Optimization and Applications, 2011.

- P. L. Combettes,
Iterative construction of the resolvent of a sum of maximal monotone operators,
Journal of Convex Analysis, 16, pp. 727-748, 2009.

- P. L. Combettes and N. N. Reyes,
Functions with prescribed best linear approximations,
Journal of Approximation Theory, 162, pp. 1095-1116, 2010.

- P. L. Combettes, Dinh Dung, and B. C. Vu,
Dualization of signal recovery problems,
Set-Valued and Variational Analysis, 18, pp. 373-404, 2010.

- P. L. Combettes and J.-C. Pesquet,
Proximal splitting methods in signal processing, in: Fixed-Point Algorithms for Inverse Problems in Science and Engineering, (H. H. Bauschke, R. S. Burachik, P. L. Combettes, V. Elser, D. R. Luke, and H. Wolkowicz, Editors), pp. 185-212.
Springer-Verlag, New York, 2011.

- P. L. Combettes, Dinh Dung, and B. C. Vu,
Proximity for sums of composite functions,
Journal of Mathematical Analysis and Applications, 380, pp. 680-688, 2011.

- R. Cominetti, E. Melo, S. Sorin,
A payoff-based learning procedure and its application to traffic games,
Games and Economic Behavior, 70, 71-83, 2010.

- J. Hofbauer, S. Sorin, Y. Viossat,
Time average replicator and best reply dynamics,
Mathematics of Operations Research, 34, 263-269, 2009.

- A. Neyman, S. Sorin,
Repeated games with public uncertain duration process,
International Journal of Game Theory, 39, 29-52, 2010.

- J. Peypouquet, S. Sorin,
Evolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time,
Journal of Convex Analysis, 17, 1113-1163, 2010.

- S. Sorin,
Exponentional weight algorithm in continuous time,
Mathematical Programming, 116, 513-528, 2009.

- S. Sorin, G. Vigeral, X. Venet,
Asymptotic properties of optimal trajectories in dynamic programming,
Sankhya, Vol. 72-A, 237-245, 2010.

- S. Sorin,
Zero-sum repeated games: recent advances and new links with differential games,
Dynamic Games and Applications, 1, 172-207, 2011.

Articles à paraître

- H. Attouch, P-E. Mainge,
Asymptotic behavior of second-order dissipative evolution equations combining potentials with non-potentials effects, ESAIM: Control, Optimisation and Calculus of Variations. Published online: 19 janvier 2011

- M. BenaÏm, J. Hofbauer, S. Sorin,
Perturbation of set-valued dynamical systems, with applications to game theory,
Dynamic Games and Applications.

- J. Bolte, F. Bonnans, F. Alvarez, F. J. Silva,
Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems,
Math. Prog. Series A (2011)

- L. M. Bricen o-Arias and P. L. Combettes,
A monotone+skew splitting model for composite monotone inclusions in duality,
SIAM Journal on Optimization.

- A. Cabot, P. Frankel,
Alternating proximal algorithms with asymptotically vanishing coupling. Application to domain decomposition for PDE's, Optimization.

- S. Sorin,
On some global and unilateral adaptive dynamics,
In Evolutionary Game Dynamics, K. Sigmund (ed.), Proceedings of Symposia in Applied Mathematics.

Articles soumis

- H. Attouch, J. Bolte and B. Svaiter,
Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods,
soumis à Math. programming, consultable sur Optimization Online.

- H. Attouch, M.-O. Czarnecki, and J. Peypouquet,
Coupling forward-backward with penalty schemes and parallel splitting for constrained variational inequalities,
soumis à SIAM J. Optimization.

- H. Attouch, A. Cabot, P. Frankel and J. Peypouquet,
Alternating proximal algorithms for linearly constrained variational inequalities. Applications to domain decomposition for PDE’s,
soumis à J. Nonlinear Analysis, JNA-TMA.

- A. Cabot and P. Frankel,
Asymptotics for some semilinear hyperbolic equations with non-autonomous damping,
soumis à Journal of Differential Equations.

- P. Cardaliaguet, R. Laraki and S. Sorin,
A continuous time approach for the asymptotic value in two-person zero-sum repeated games,

- S. Sorin and G. Vigeral,
Existence o f the limit value of two person zero-sum discounted repeated games via comparison theorems,