Open Problem—Weakly Interacting Particle Systems on Dense Random Graphs

Published Online:https://doi.org/10.1287/stsy.2019.0049

References

  • Bhamidi S, Budhiraja A, Wu R (2018) Weakly interacting particle systems on inhomogeneous random graphs. Stochastic Processes Appl. 129(6):2174–2206.Google Scholar
  • Coppini F, Dietert H, Giacomin G (2019) A law of large numbers and large deviations for interacting diusions on Erdös-Rényi graphs. Stochastics Dynam., ePub ahead of print July 10, https://doi.org/10.1142/S0219493720500100.Google Scholar
  • Delattre S, Giacomin G, Lucon E (2016) A note on dynamical models on random graphs and Fokker-Planck equations. J. Statist. Phys. 165(4):785–798.Google Scholar
  • Detering N, Fouque J-P, Ichiba T (2019) Directed chain stochastic differential equations. Stochastic Processes Appl., ePub ahead of print July 19, https://doi.org/10.1016/j.spa.2019.07.009.Google Scholar
  • Hitsuda M, Mitoma I (1986) Tightness problem and stochastic evolution equation arising from fluctuation phenomena for interacting diusions. J. Multivariate Anal. 19(2):311–328.Google Scholar
  • Reis GH, Oliveira RI (2019) Interacting diffusions on random graphs with diverging degrees: Hydrodynamics and large deviations. J. Statist. Phys. 176(5):1057–1057.Google Scholar
  • Sznitman AS (1991) Topics in propagation of chaos. Hennequin PL, ed. Ecole d'Eté de Probabilités de Saint-Flour XIX — 1989, Lecture Notes in Mathematics, vol. 1464 (Springer, Berlin, Heidelberg), 165–251.Google Scholar
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