M. Akian, Densities of idempotent measures and large deviations, 1995.
URL : https://hal.archives-ouvertes.fr/inria-00074144

M. Akian, J. Quadrat, and M. Viot, Bellman processes, 11th International Conference on Analysis and Optimization of Systems : Discrete Event Systems. Lecture notes in Control and Information Sciences, 1994.
DOI : 10.1007/BFb0033561

M. Akian, J. P. Quadrat, and M. Viot, Duality between probability and optimization, Proceedings of the workshop " Idempotency, 1995.
DOI : 10.1017/CBO9780511662508.020

H. Attouch, Variational convergence for functions and operators, 1984.

H. Attouch and R. J. Wets, Isometries of the Legendre-Fenchel transform. Transactions of the, pp.33-60, 1986.

R. Azencott, Y. Guivarc-'h, and R. F. Gundy, Ecole d'´ eté de Saint Flour 8, Lecture Notes in Mathematics, 1978.

F. Baccelli, G. Cohen, G. J. Olsder, and J. P. Quadrat, Synchronization and linearity : an algebra for discrete events systems, 1992.

F. Bellalouna, Un point de vue linéaire sur la programmation dynamique. Détection de ruptures dans le cadre desprobì emes de fiabilité, 1992.

R. Bellman and W. Karush, Mathematical Programming and the Maximum Transform, Journal of the Society for Industrial and Applied Mathematics, vol.10, issue.3, 1962.
DOI : 10.1137/0110042

P. Bernhard, Discrete and continuous time partial information minimax control submitted to Annales de l'ISDG, 1994.

P. and D. Moral, Résolution particulaire desprobì emes d'estimation et d'optimisation non-linéaires . Thesis dissertation, 1994.

P. , D. Moral, T. Thuillet, G. Rigal, and G. Salut, Optimal versus random processes: the nonlinear case, LAAS Report, 1991.

M. I. Freidlin and A. D. , Random perturbations of dynamical systems, 1979.

G. Gierz, K. H. Hoffman, K. Keimel, J. D. Lawson, M. Mislove et al., A compendium of continuous lattices, 1980.
DOI : 10.1007/978-3-642-67678-9

J. L. Joly, Une famille de topologies sur l'ensemble des fonctions convexes pour lesquelles la polarité est bicontinue, Journal de Mathématiques Pures et Appliquées, vol.52, pp.421-441, 1973.

V. N. Kolokoltsov and V. P. Maslov, The general form of the endomorphisms in the space of continuous functions with values in a numerical commutative semiring (with the operation ( v 7 H 0 x e y ), Soviet Math. Dokl, vol.36, issue.1, pp.55-59, 1988.

V. N. Kolokoltzov and V. P. Maslov, A new differential equation for the dynamics of the Pareto sets, Proceedings of the workshop " Idempotency, 1995.
DOI : 10.1017/CBO9780511662508.019

V. P. Maslov and V. N. Kolokoltzov, Idempotent analysis and its applications to optimal control theory, p.1994

V. P. Maslov and S. N. Samborski, Idempotent analysis, Advances In Soviet Mathematics, vol.13, 1992.

V. P. Maslov and S. N. Samborski, Stationary Hamilton-Jacobi and Bellman equations (existence and uniqueness of solutions) in [21, pp.119-133, 1992.

J. P. Quadrat, Théorèmes asymptotiques en programmation dynamique, Note CRAS, vol.311, pp.745-748, 1990.

R. T. Rockafellar, Convex analysis, N.J, 1970.
DOI : 10.1515/9781400873173

S. N. Samborski and A. A. Tarashchan, The Fourier transform and semirings of Pareto sets, p.139

P. Whittle, Risk sensitive optimal control, 1990.

I. Unité-de-recherche and . Lorraine, Technopôle de Nancy-Brabois, Campus scientifique, 615 rue du Jardin Botanique, pp.38031-38032

I. Unité-de-recherche, . Rocquencourt, . Domaine-de-voluceau, and . Rocquencourt, 78153 LE CHESNAY Cedex Unité de recherche INRIA Sophia-Antipolis, pp.78153-0249, 2004.