See Also

• [Multi angle] Two examples of thermodynamic limits in neuroscience / Author of the conference Faugeras, Olivier.
• [Multi angle] Conditional propagation of chaos for generalized Hawkes processes having alpha-stable jump heights / Author of the conference Löcherbach, Eva.
• [Multi angle] Rearranged stochastic heat equation / Author of the conference Delarue, François.
• [Multi angle] Recent results on epidemic models / Author of the conference Pardoux, Etienne.
• [Multi angle] Functional convex order for stochastic processes: a constructive (and simulable) approach / Author of the conference Pagès, Gilles.
• [Multi angle] Optimal revelated utilities and convex pricing kernels: - a forward point of view of convexity propagation / Author of the conference El Karoui, Nicole.
• [Multi angle] Systematic jump risk / Author of the conference Jacod, Jean.
• [Multi angle] Propagation of chaos for stochastic particle systems with singular mean-field interaction of $L^{q}-L^{p}$ type / Author of the conference Tomašević, Milica.
• [Multi angle] Construction of Boltzmann and McKean Vlasov type flows (the sewing lemma approach) / Author of the conference Bally, Vlad.
• [Multi angle] Wasserstein convergence of penalized Markov processes / Author of the conference Champagnat, Nicolas.
• [Multi angle] Exponent dynamics for branching processes / Author of the conference Méléard, Sylvie.
• [Multi angle] Gambling for resurrection and the heat equation on a triangle / Author of the conference Blanchet-Scalliet, Christophette.
• [Multi angle] Cox Construction: a random walk in the land of stochastic analysis and numerical probability / Author of the conference Protter, Philip.
• [Multi angle] Large random matrices and PDE's / Author of the conference Lions, Pierre-Louis.

ALMUDEVAR, Anthony. A dynamic programming algorithm for the optimal control of piecewise deterministic Markov processes. SIAM Journal on Control and Optimization, 2001, vol. 40, no 2, p. 525-539. - https://doi.org/10.1137/S0363012999364474


BÄUERLE, Nicole et LANGE, Dirk. Optimal control of partially observable piecewise deterministic Markov processes. SIAM Journal on Control and Optimization, 2018, vol. 56, no 2, p. 1441-1462. - https://doi.org/10.1137/17M1134731


BÄUERLE, Nicole et RIEDER, Ulrich. Markov decision processes with applications to finance. Springer Science & Business Media, 2011. - https://doi.org/10.1007/978-3-642-18324-9


BRANDEJSKY, Adrien, DE SAPORTA, Benoîte, et DUFOUR, François. Optimal stopping for partially observed piecewise-deterministic Markov processes. Stochastic Processes and their Applications, 2013, vol. 123, no 8, p. 3201-3238. - https://doi.org/10.1016/j.spa.2013.03.006


CALVIA, Alessandro. Stochastic filtering and optimal control of pure jump Markov processes with noise-free partial observation. ESAIM: Control, Optimisation and Calculus of Variations, 2020, vol. 26, p. 25. - https://doi.org/10.1051/cocv/2019020


CLEYNEN, Alice et DE SAPORTA, Benoîte. Change-point detection for piecewise deterministic Markov processes. Automatica, 2018, vol. 97, p. 234-247. - https://doi.org/10.1016/j.automatica.2018.08.011


DO VALLE COSTA, Oswaldo Luiz et DUFOUR, François. Continuous average control of piecewise deterministic Markov processes. Springer, 2013. - https://doi.org/10.1007/978-1-4614-6983-4


COSTA, Oswaldo Luiz do Valle et CAB, Raymundo. Impulse and continuous control of piecewise deterministic Markov processes. Stochastics: An International Journal of Probability and Stochastic Processes, 2000, vol. 70, no 1-2, p. 75-107. - https://doi.org/10.1080/17442500008834246


COSTA, Oswaldo LV et DAVIS, M. H. A. Impulse control of piecewise-deterministic processes. Mathematics of Control, Signals and Systems, 1989, vol. 2, p. 187-206. - https://doi.org/10.1007/BF02551384


DAVIS, Mark HA. Piecewise‐deterministic Markov processes: A general class of non‐diffusion stochastic models. Journal of the Royal Statistical Society: Series B (Methodological), 1984, vol. 46, no 3, p. 353-376. - http://www.jstor.org/stable/2345677


DAVIS, M. (1993). Markov models and optimization vol. 49 of Monographs on Statistics and Applied Probability. Chapman & Hall, London. -


DE SAPORTA, Benoîte et DUFOUR, François. Numerical method for impulse control of piecewise deterministic Markov processes. Automatica, 2012, vol. 48, no 5, p. 779-793. - https://doi.org/10.1016/j.automatica.2012.02.031


DE SAPORTA, Benoîte, DUFOUR, François, et GEERAERT, Alizée. Optimal strategies for impulse control of piecewise deterministic Markov processes. Automatica, 2017, vol. 77, p. 219-229. - https://doi.org/10.1016/j.automatica.2016.11.039


DE SAPORTA, Benoite, DUFOUR, François, et ZHANG, Huilong. Numerical methods for simulation and optimization of piecewise deterministic Markov processes: application to reliability. John Wiley & Sons, 2015. -


DEMPSTER, M. A. H. et YE, J. J. Impulse control of piecewise deterministic Markov processes. The Annals of Applied Probability, 1995, p. 399-423. - https://doi.org/10.1214/aoap/1177004771


DUFOUR, François, HORIGUCHI, Masayuki, et PIUNOVSKIY, A. B. Optimal impulsive control of piecewise deterministic Markov processes. Stochastics, 2016, vol. 88, no 7, p. 1073-1098. - https://doi.org/10.1080/17442508.2016.1197925


PIUNOVSKIY, Alexey, PLAKHOV, Alexander, TORRES, Delfim FM, et al. Optimal impulse control of dynamical systems. SIAM Journal on Control and Optimization, 2019, vol. 57, no 4, p. 2720-2752. - https://doi.org/10.1137/18M1212069