메뉴 건너뛰기




Volumn 26, Issue 3, 2016, Pages 1407-1442

Propagation of chaos for interacting particles subject to environmental noise

Author keywords

Interacting particle system; Kraichnan noise; Mean field limit; Propagation of chaos; Wasserstain metric

Indexed keywords


EID: 84978942659     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/15-AAP1120     Document Type: Article
Times cited : (79)

References (15)
  • 3
    • 84905754793 scopus 로고    scopus 로고
    • Noise prevents collapse of Vlasov-Poisson point charges
    • MR3251910
    • DELARUE, F., FLANDOLI, F. and VINCENZI, D. (2014). Noise prevents collapse of Vlasov-Poisson point charges. Comm. Pure Appl. Math. 67 1700-1736. MR3251910
    • (2014) Comm. Pure Appl. Math. , vol.67 , pp. 1700-1736
    • Delarue, F.1    Flandoli, F.2    Vincenzi, D.3
  • 4
    • 0042333217 scopus 로고    scopus 로고
    • Propagation and conditional propagation of chaos for pressureless gas equations
    • MR2001194
    • DERMOUNE, A. (2003). Propagation and conditional propagation of chaos for pressureless gas equations. Probab. Theory Related Fields 126 459-476. MR2001194
    • (2003) Probab. Theory Related Fields , vol.126 , pp. 459-476
    • Dermoune, A.1
  • 7
    • 84906827741 scopus 로고    scopus 로고
    • Propagation of chaos for the 2D viscous vortex model
    • MR3254330
    • FOURNIER, N., HAURAY, M. and MISCHLER, S. (2014). Propagation of chaos for the 2D viscous vortex model. J. Eur. Math. Soc. (JEMS) 16 1423-1466. MR3254330
    • (2014) J. Eur. Math. Soc. (JEMS) , vol.16 , pp. 1423-1466
    • Fournier, N.1    Hauray, M.2    Mischler, S.3
  • 8
    • 84895932069 scopus 로고    scopus 로고
    • On kac's chaos and related problems
    • MR3188710
    • HAURAY, M. and MISCHLER, S. (2014). On Kac's chaos and related problems. J. Funct. Anal. 266 6055-6157. MR3188710
    • (2014) J. Funct. Anal. , vol.266 , pp. 6055-6157
    • Hauray, M.1    Mischler, S.2
  • 9
    • 0003329017 scopus 로고
    • Stochastic flows and stochastic differential equations
    • Cambridge Univ. Press, Cambridge. MR1070361
    • KUNITA, H. (1990). Stochastic Flows and Stochastic Differential Equations. Cambridge Studies in Advanced Mathematics 24. Cambridge Univ. Press, Cambridge. MR1070361
    • (1990) Cambridge Studies in Advanced Mathematics , pp. 24
    • Kunita, H.1
  • 10
    • 84900481167 scopus 로고    scopus 로고
    • Measure-valued diffusions and continuous systems of interacting particles in a random environment
    • MR2216047
    • PILIPENKO, A. Y. (2005). Measure-valued diffusions and continuous systems of interacting particles in a random environment. Ukraïn. Mat. Zh. 57 1289-1301. MR2216047
    • (2005) Ukraïn. Mat. Zh. , vol.57 , pp. 1289-1301
    • Pilipenko, A.Y.1
  • 11
    • 84978934390 scopus 로고    scopus 로고
    • A functional central limit theorem for flows generated by stochastic equations with interaction
    • MR2369777
    • PILIPENKO, A. Y. (2006). A functional central limit theorem for flows generated by stochastic equations with interaction. Nelīnīǐnī Koliv. 9 85-97. MR2369777
    • (2006) Nelīnīǐnī Koliv. , vol.9 , pp. 85-97
    • Pilipenko, A.Y.1
  • 12
    • 0003543379 scopus 로고    scopus 로고
    • 3rd ed. Grundlehren der Mathematischen Wissenschaften. Springer, Berlin. MR1725357
    • REVUZ, D. and YOR, M. (1999). Continuous Martingales and Brownian Motion, 3rd ed. Grundlehren der Mathematischen Wissenschaften 293. Springer, Berlin. MR1725357
    • (1999) Continuous Martingales and Brownian Motion , pp. 293
    • Revuz, D.1    Yor, M.2
  • 13
    • 32544435714 scopus 로고    scopus 로고
    • Measure-valued diffusion
    • MR1472230
    • SKOROKHOD, A. V. (1997). Measure-valued diffusion. Ukraïn. Mat. Zh. 49 458-464. MR1472230
    • (1997) Ukraïn. Mat. Zh. , vol.49 , pp. 458-464
    • Skorokhod, A.V.1
  • 15
    • 0001290179 scopus 로고
    • Conditional propagation of chaos and a class of quasilinear PDE's
    • MR1349177
    • ZHENG, W. A. (1995). Conditional propagation of chaos and a class of quasilinear PDE's. Ann. Probab. 23 1389-1413. MR1349177
    • (1995) Ann. Probab. , vol.23 , pp. 1389-1413
    • Zheng, W.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.