Han, Bingtao; Jiang, Daqing Threshold dynamics and probability density functions of a stochastic predator-prey model with general distributed delay. (English) Zbl 07784253 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107596, 31 p. (2024). MSC: 34K60 92D25 34K50 34K25 PDFBibTeX XMLCite \textit{B. Han} and \textit{D. Jiang}, Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107596, 31 p. (2024; Zbl 07784253) Full Text: DOI
Zhang, Xiaofeng A note on the stationary probability density function and covariance matrix of a stochastic chemostat model with distributed delay. (English) Zbl 1519.34093 Qual. Theory Dyn. Syst. 22, No. 3, Paper No. 114, 9 p. (2023). MSC: 34K60 92D25 34K50 60E05 PDFBibTeX XMLCite \textit{X. Zhang}, Qual. Theory Dyn. Syst. 22, No. 3, Paper No. 114, 9 p. (2023; Zbl 1519.34093) Full Text: DOI
Jang, Jin Woo; Velázquez, Juan J. L. Kinetic models for semiflexible polymers in a half-plane. (English) Zbl 1515.82195 Pure Appl. Anal. 5, No. 1, 145-212 (2023). MSC: 82D60 82C31 46N55 92C45 PDFBibTeX XMLCite \textit{J. W. Jang} and \textit{J. J. L. Velázquez}, Pure Appl. Anal. 5, No. 1, 145--212 (2023; Zbl 1515.82195) Full Text: DOI arXiv
Schurz, Henri; Alharbi, Qasim S. Existence, uniqueness, and stability of Fourier series solutions of stochastic wave equations with cubic nonlinearities in 3D. (English) Zbl 1504.35663 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113169, 24 p. (2023). MSC: 35R60 35L71 60H10 60H15 60H35 70K20 74J30 81P20 82C31 PDFBibTeX XMLCite \textit{H. Schurz} and \textit{Q. S. Alharbi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113169, 24 p. (2023; Zbl 1504.35663) Full Text: DOI
Wang, Weixin; Lee, Taeyoung Uncertainty propagation for general stochastic hybrid systems on compact Lie groups. (English) Zbl 1498.93335 SIAM J. Appl. Dyn. Syst. 21, No. 3, 2215-2240 (2022). MSC: 93C30 93E03 93C20 35Q84 PDFBibTeX XMLCite \textit{W. Wang} and \textit{T. Lee}, SIAM J. Appl. Dyn. Syst. 21, No. 3, 2215--2240 (2022; Zbl 1498.93335) Full Text: DOI arXiv
Fall, Boubacar; Santambrogio, Filippo; Seck, Diaraf Shape derivative for obstacles in crowd motion. (English) Zbl 1515.76015 Math. Eng. (Springfield) 4, No. 2, Paper No. 12, 16 p. (2022). MSC: 76A30 76M30 76S05 PDFBibTeX XMLCite \textit{B. Fall} et al., Math. Eng. (Springfield) 4, No. 2, Paper No. 12, 16 p. (2022; Zbl 1515.76015) Full Text: DOI
Labuschagne, Louis; Majewski, W. Adam Quantum Fokker-Planck dynamics. (English) Zbl 1497.46076 Ann. Henri Poincaré 23, No. 5, 1659-1691 (2022). MSC: 46L55 47D07 46L51 46N50 46L57 PDFBibTeX XMLCite \textit{L. Labuschagne} and \textit{W. A. Majewski}, Ann. Henri Poincaré 23, No. 5, 1659--1691 (2022; Zbl 1497.46076) Full Text: DOI arXiv
Deng, Weihua; Wang, Xudong; Nie, Daxin Functional distribution of anomalous and nonergodic diffusion. From stochastic processes to PDEs. (English) Zbl 1507.60002 Singapore: World Scientific (ISBN 978-981-12-5049-1/hbk; 978-981-12-5051-4/ebook). xi, 245 p. (2022). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60-02 60J60 60K50 60Gxx 60Hxx PDFBibTeX XMLCite \textit{W. Deng} et al., Functional distribution of anomalous and nonergodic diffusion. From stochastic processes to PDEs. Singapore: World Scientific (2022; Zbl 1507.60002) Full Text: DOI
Dektor, Alec; Venturi, Daniele Dynamic tensor approximation of high-dimensional nonlinear PDEs. (English) Zbl 07505902 J. Comput. Phys. 437, Article ID 110295, 19 p. (2021). MSC: 65Mxx 41Axx 15Axx PDFBibTeX XMLCite \textit{A. Dektor} and \textit{D. Venturi}, J. Comput. Phys. 437, Article ID 110295, 19 p. (2021; Zbl 07505902) Full Text: DOI arXiv
Ascione, G.; Mishura, Yu.; Pirozzi, E. Convergence results for the time-changed fractional Ornstein-Uhlenbeck processes. (English) Zbl 1470.60111 Theory Probab. Math. Stat. 104, 23-47 (2021). MSC: 60G22 60F17 35R11 PDFBibTeX XMLCite \textit{G. Ascione} et al., Theory Probab. Math. Stat. 104, 23--47 (2021; Zbl 1470.60111) Full Text: DOI arXiv
You, Pinlong; Lin, Lifeng; Wang, Huiqi Cooperative mechanism of generalized stochastic resonance in a time-delayed fractional oscillator with random fluctuations on both mass and damping. (English) Zbl 1489.34113 Chaos Solitons Fractals 135, Article ID 109789, 8 p. (2020). MSC: 34K37 34K50 82C31 44A10 26A33 PDFBibTeX XMLCite \textit{P. You} et al., Chaos Solitons Fractals 135, Article ID 109789, 8 p. (2020; Zbl 1489.34113) Full Text: DOI
Lee, Wha-Suck; Le Roux, Christiaan Implicit convolution Fokker-Planck equations: extended Feller convolution. (English) Zbl 1501.47070 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, SOTA 2018, Kazimierz Dolny, Poland, September 30 – October 5, 2018. In honour of Jan Kisyński’s 85th birthday. Cham: Springer. Springer Proc. Math. Stat. 325, 315-328 (2020). MSC: 47D06 34K32 35Q84 PDFBibTeX XMLCite \textit{W.-S. Lee} and \textit{C. Le Roux}, Springer Proc. Math. Stat. 325, 315--328 (2020; Zbl 1501.47070) Full Text: DOI
Zhou, Yongcheng On curvature driven rotational diffusion of proteins on membrane surfaces. (English) Zbl 1441.35010 SIAM J. Appl. Math. 80, No. 1, 359-381 (2020). Reviewer: Eugene Postnikov (Kursk) MSC: 35A15 35K15 60J60 35Q84 35A01 35A02 33C10 PDFBibTeX XMLCite \textit{Y. Zhou}, SIAM J. Appl. Math. 80, No. 1, 359--381 (2020; Zbl 1441.35010) Full Text: DOI arXiv
Roux, Filippus S. Evolution equation for multi-photon states in turbulence. (English) Zbl 1509.76044 J. Phys. A, Math. Theor. 52, No. 40, Article ID 405301, 21 p. (2019). MSC: 76F30 35Q84 PDFBibTeX XMLCite \textit{F. S. Roux}, J. Phys. A, Math. Theor. 52, No. 40, Article ID 405301, 21 p. (2019; Zbl 1509.76044) Full Text: DOI arXiv
Lo, C. F. Exact solution of the functional Fokker-Planck equation for cell growth with asymmetric cell division. (English) Zbl 07570059 Physica A 533, Article ID 122079, 7 p. (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{C. F. Lo}, Physica A 533, Article ID 122079, 7 p. (2019; Zbl 07570059) Full Text: DOI
Cheng, Xiujun; Wang, Hui; Wang, Xiao; Duan, Jinqiao; Li, Xiaofan Most probable transition pathways and maximal likely trajectories in a genetic regulatory system. (English) Zbl 07569470 Physica A 531, Article ID 121779, 13 p. (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{X. Cheng} et al., Physica A 531, Article ID 121779, 13 p. (2019; Zbl 07569470) Full Text: DOI
Qian, Yiran; Wang, Zhongming; Zhou, Shenggao A conservative, free energy dissipating, and positivity preserving finite difference scheme for multi-dimensional nonlocal Fokker-Planck equation. (English) Zbl 1452.65174 J. Comput. Phys. 386, 22-36 (2019). MSC: 65M06 35Q84 35R10 65Z05 PDFBibTeX XMLCite \textit{Y. Qian} et al., J. Comput. Phys. 386, 22--36 (2019; Zbl 1452.65174) Full Text: DOI
Di Paola, Mario; Pirrotta, Antonina; Alotta, Gioacchino; Di Matteo, Alberto; Pinnola, Francesco Paolo Complex fractional moments for the characterization of the probabilistic response of non-linear systems subjected to white noises. (English) Zbl 1455.35258 Belhaq, Mohamed (ed.), Topics in nonlinear mechanics and physics. Selected papers from CSNDD 2018, the 4th international conference on structural nonlinear dynamics and diagnosis, Tangier, Morocco, June 25–27, 2018. Singapore: Springer. Springer Proc. Phys. 228, 203-227 (2019). Reviewer: Jiri Náprstek (Praha) MSC: 35Q84 37H10 26A33 34F05 34K50 60G51 60H10 70L05 74H50 35R11 PDFBibTeX XMLCite \textit{M. Di Paola} et al., Springer Proc. Phys. 228, 203--227 (2019; Zbl 1455.35258) Full Text: DOI Link
Newton, Nigel J. A class of non-parametric statistical manifolds modelled on Sobolev space. (English) Zbl 1444.46053 Inf. Geom. 2, No. 2, 283-312 (2019). MSC: 46N30 46T05 62R30 60D05 60H15 62B10 93E11 47H30 PDFBibTeX XMLCite \textit{N. J. Newton}, Inf. Geom. 2, No. 2, 283--312 (2019; Zbl 1444.46053) Full Text: DOI arXiv
Belton, Alexander C. R.; Gnacik, Michał; Lindsay, J. Martin; Zhong, Ping Quasifree stochastic cocycles and quantum random walks. (English) Zbl 1419.81024 J. Stat. Phys. 176, No. 1, 1-39 (2019). MSC: 81S25 46L53 46N50 60F17 82C10 82C31 81S22 PDFBibTeX XMLCite \textit{A. C. R. Belton} et al., J. Stat. Phys. 176, No. 1, 1--39 (2019; Zbl 1419.81024) Full Text: DOI arXiv
Birmpa, Panagiota; Tsagkarogiannis, Dimitrios Action minimization and macroscopic interface motion under forced displacement. (English) Zbl 1404.82043 ESAIM, Control Optim. Calc. Var. 24, No. 2, 765-792 (2018). MSC: 82C24 49J20 60F10 35R60 82C31 82D40 82C26 PDFBibTeX XMLCite \textit{P. Birmpa} and \textit{D. Tsagkarogiannis}, ESAIM, Control Optim. Calc. Var. 24, No. 2, 765--792 (2018; Zbl 1404.82043) Full Text: DOI arXiv
Duong, M. H.; Lamacz, A.; Peletier, M. A.; Schlichting, A.; Sharma, U. Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics. (English) Zbl 1394.35210 Nonlinearity 31, No. 10, 4517-4566 (2018). MSC: 35K10 35B40 60F10 60H10 60J60 82C31 PDFBibTeX XMLCite \textit{M. H. Duong} et al., Nonlinearity 31, No. 10, 4517--4566 (2018; Zbl 1394.35210) Full Text: DOI arXiv
Breitenbach, Tim; Annunziato, Mario; Borzì, Alfio On the optimal control of a random walk with jumps and barriers. (English) Zbl 1387.93183 Methodol. Comput. Appl. Probab. 20, No. 1, 435-462 (2018). MSC: 93E20 60G50 34K99 60J27 PDFBibTeX XMLCite \textit{T. Breitenbach} et al., Methodol. Comput. Appl. Probab. 20, No. 1, 435--462 (2018; Zbl 1387.93183) Full Text: DOI
Chen, Nan; Majda, Andrew J. Efficient statistically accurate algorithms for the Fokker-Planck equation in large dimensions. (English) Zbl 1380.60055 J. Comput. Phys. 354, 242-268 (2018). MSC: 60H10 35Q84 34K50 34K23 PDFBibTeX XMLCite \textit{N. Chen} and \textit{A. J. Majda}, J. Comput. Phys. 354, 242--268 (2018; Zbl 1380.60055) Full Text: DOI arXiv
Lee, Wha-Suck; Sauer, Niko Intertwined Markov processes: the extended Chapman-Kolmogorov equation. (English) Zbl 06835771 Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 1, 123-131 (2018). MSC: 47D07 47F99 60J27 60J99 60J28 60J35 34K32 34K30 47D03 47D99 43A05 PDFBibTeX XMLCite \textit{W.-S. Lee} and \textit{N. Sauer}, Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 1, 123--131 (2017; Zbl 06835771) Full Text: DOI
Filbet, Francis; Herda, Maxime A finite volume scheme for boundary-driven convection-diffusion equations with relative entropy structure. (English) Zbl 1381.65072 Numer. Math. 137, No. 3, 535-577 (2017). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M08 65M12 76S05 76X05 82D60 35K55 35Q84 PDFBibTeX XMLCite \textit{F. Filbet} and \textit{M. Herda}, Numer. Math. 137, No. 3, 535--577 (2017; Zbl 1381.65072) Full Text: DOI arXiv
Cugliandolo, Leticia F.; Lecomte, Vivien Rules of calculus in the path integral representation of white noise Langevin equations: the Onsager-Machlup approach. (English) Zbl 1376.82082 J. Phys. A, Math. Theor. 50, No. 34, Article ID 345001, 35 p. (2017). MSC: 82C35 81S40 82C31 PDFBibTeX XMLCite \textit{L. F. Cugliandolo} and \textit{V. Lecomte}, J. Phys. A, Math. Theor. 50, No. 34, Article ID 345001, 35 p. (2017; Zbl 1376.82082) Full Text: DOI arXiv
Busani, Ofer Finite dimensional Fokker-Planck equations for continuous time random walk limits. (English) Zbl 1364.60040 Stochastic Processes Appl. 127, No. 5, 1496-1516 (2017). MSC: 60F17 60G50 60K35 35Q84 35R11 82C31 PDFBibTeX XMLCite \textit{O. Busani}, Stochastic Processes Appl. 127, No. 5, 1496--1516 (2017; Zbl 1364.60040) Full Text: DOI arXiv
Huang, Wen; Ji, Min; Liu, Zhenxin; Yi, Yingfei Stochastic stability of measures in gradient systems. (English) Zbl 1364.34116 Physica D 314, 9-17 (2016). MSC: 34K50 34K20 37H10 37H15 PDFBibTeX XMLCite \textit{W. Huang} et al., Physica D 314, 9--17 (2016; Zbl 1364.34116) Full Text: DOI
Denner, Andreas; Junge, Oliver; Matthes, Daniel Computing coherent sets using the Fokker-Planck equation. (English) Zbl 1369.37084 J. Comput. Dyn. 3, No. 2, 163-177 (2016). MSC: 37M25 37N10 35Q84 65M70 76F20 37C30 PDFBibTeX XMLCite \textit{A. Denner} et al., J. Comput. Dyn. 3, No. 2, 163--177 (2016; Zbl 1369.37084) Full Text: DOI arXiv
Mei, Hongwei; Yin, George; Wu, Fuke Properties of stochastic integro-differential equations with infinite delay: regularity, ergodicity, weak sense Fokker-Planck equations. (English) Zbl 1351.34098 Stochastic Processes Appl. 126, No. 10, 3102-3123 (2016). MSC: 34K50 60H10 60H20 60J60 34K30 PDFBibTeX XMLCite \textit{H. Mei} et al., Stochastic Processes Appl. 126, No. 10, 3102--3123 (2016; Zbl 1351.34098) Full Text: DOI
Busani, Ofer Aging uncoupled continuous time random walk limits. (English) Zbl 1338.60123 Electron. J. Probab. 21, Paper No. 7, 17 p. (2016). MSC: 60G50 60F17 82C31 PDFBibTeX XMLCite \textit{O. Busani}, Electron. J. Probab. 21, Paper No. 7, 17 p. (2016; Zbl 1338.60123) Full Text: DOI arXiv Euclid
Erbar, Matthias; Maas, Jan; Renger, Michiel From large deviations to Wasserstein gradient flows in multiple dimensions. (English) Zbl 1333.35294 Electron. Commun. Probab. 20, Paper No. 89, 12 p. (2015). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 35Q84 35A15 46N55 60F10 PDFBibTeX XMLCite \textit{M. Erbar} et al., Electron. Commun. Probab. 20, Paper No. 89, 12 p. (2015; Zbl 1333.35294) Full Text: DOI arXiv
Sandev, Trifce; Tomovski, Živorad Langevin equation for a free particle driven by power law type of noises. (English) Zbl 1396.82015 Phys. Lett., A 378, No. 1-2, 1-9 (2014). MSC: 82C31 35R60 34K50 60H15 81P20 PDFBibTeX XMLCite \textit{T. Sandev} and \textit{Ž. Tomovski}, Phys. Lett., A 378, No. 1--2, 1--9 (2014; Zbl 1396.82015) Full Text: DOI
Noarov, A. I. Nontrivial solvability of elliptic equations in divergence form with complex coefficients. (English. Russian original) Zbl 1298.35235 Sib. Math. J. 55, No. 3, 465-470 (2014); translation from Sib. Mat. Zh. 55, No. 3, 573-579 (2014). Reviewer: Dian K. Palagachev (Bari) MSC: 35R01 35Q84 35R10 PDFBibTeX XMLCite \textit{A. I. Noarov}, Sib. Math. J. 55, No. 3, 465--470 (2014; Zbl 1298.35235); translation from Sib. Mat. Zh. 55, No. 3, 573--579 (2014) Full Text: DOI
Vorotnikov, Dmitry Analytical aspects of the Brownian motor effect in randomly flashing ratchets. (English) Zbl 1294.82031 J. Math. Biol. 68, No. 7, 1677-1705 (2014). MSC: 82C31 34B05 35Q84 35Q92 46N60 47H10 82D60 35K57 PDFBibTeX XMLCite \textit{D. Vorotnikov}, J. Math. Biol. 68, No. 7, 1677--1705 (2014; Zbl 1294.82031) Full Text: DOI arXiv
Kozlov, Roman On symmetries of the Fokker-Planck equation. (English) Zbl 1360.34166 J. Eng. Math. 82, 39-57 (2013). MSC: 34K50 34F05 60H10 37H10 PDFBibTeX XMLCite \textit{R. Kozlov}, J. Eng. Math. 82, 39--57 (2013; Zbl 1360.34166) Full Text: DOI
Del Moral, Pierre Mean field simulation for Monte Carlo integration. (English) Zbl 1282.65011 Monographs on Statistics and Applied Probability 126. Boca Raton, FL: CRC Press (ISBN 978-1-4665-0405-9/hbk; 978-1-138-19873-9/pbk; 978-1-4665-0417-2/ebook). xlvii, 578 p. (2013). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C05 65C40 65C35 65C30 65C20 68U20 65-02 82C31 82C40 82C80 81Q30 94A12 60G35 81V70 PDFBibTeX XMLCite \textit{P. Del Moral}, Mean field simulation for Monte Carlo integration. Boca Raton, FL: CRC Press (2013; Zbl 1282.65011) Full Text: DOI
Li, Tiejun; Zhang, Pingwen; Zhang, Wei Nucleation rate calculation for the phase transition of diblock copolymers under stochastic Cahn-Hilliard dynamics. (English) Zbl 1269.82073 Multiscale Model. Simul. 11, No. 1, 385-409 (2013). MSC: 82D60 82C26 82C31 82-08 65C20 PDFBibTeX XMLCite \textit{T. Li} et al., Multiscale Model. Simul. 11, No. 1, 385--409 (2013; Zbl 1269.82073) Full Text: DOI
Qi, Lu-Yuan; Xu, Wei; Gao, Wei-Ting Stationary response of Lotka-Volterra system with real noises. (English) Zbl 1264.82167 Commun. Theor. Phys. 59, No. 4, 503-509 (2013). MSC: 82D40 92D25 34K50 34A34 82C31 65C05 PDFBibTeX XMLCite \textit{L.-Y. Qi} et al., Commun. Theor. Phys. 59, No. 4, 503--509 (2013; Zbl 1264.82167) Full Text: DOI
Eberle, Andreas; Marinelli, Carlo Quantitative approximations of evolving probability measures and sequential Markov chain Monte Carlo methods. (English) Zbl 1282.65013 Probab. Theory Relat. Fields 155, No. 3-4, 665-701 (2013). Reviewer: Adrian Atanasiu (Bucureşti) MSC: 65C05 60B10 47D08 65C40 60J22 82C31 82C22 PDFBibTeX XMLCite \textit{A. Eberle} and \textit{C. Marinelli}, Probab. Theory Relat. Fields 155, No. 3--4, 665--701 (2013; Zbl 1282.65013) Full Text: DOI arXiv
Cattiaux, Patrick; Chafaï, Djalil; Guillin, Arnaud Central limit theorems for additive functionals of ergodic Markov diffusions processes. (English) Zbl 1277.60047 ALEA, Lat. Am. J. Probab. Math. Stat. 9, No. 2, 337-382 (2012). MSC: 60F05 60G44 60J25 60J60 PDFBibTeX XMLCite \textit{P. Cattiaux} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 9, No. 2, 337--382 (2012; Zbl 1277.60047) Full Text: arXiv Link
Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach. (English) Zbl 1264.26011 SIAM J. Math. Anal. 44, No. 5, 3186-3216 (2012). Reviewer: Jacques Franchi (Strasbourg) MSC: 26A51 26D10 53D25 39B72 39B62 58J35 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., SIAM J. Math. Anal. 44, No. 5, 3186--3216 (2012; Zbl 1264.26011) Full Text: DOI arXiv
Ottobre, M.; Pavliotis, G. A. Asymptotic analysis for the generalized Langevin equation. (English) Zbl 1221.82076 Nonlinearity 24, No. 5, 1629-1653 (2011). Reviewer: Guy Jumarie (Montréal) MSC: 82C31 60H10 35K10 60J60 60F17 PDFBibTeX XMLCite \textit{M. Ottobre} and \textit{G. A. Pavliotis}, Nonlinearity 24, No. 5, 1629--1653 (2011; Zbl 1221.82076) Full Text: DOI arXiv
Gredat, D.; Dornic, I.; Luck, J. M. On an imaginary exponential functional of Brownian motion. (English) Zbl 1218.60065 J. Phys. A, Math. Theor. 44, No. 17, Article ID 175003, 28 p. (2011). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60J65 82C31 PDFBibTeX XMLCite \textit{D. Gredat} et al., J. Phys. A, Math. Theor. 44, No. 17, Article ID 175003, 28 p. (2011; Zbl 1218.60065) Full Text: DOI arXiv
Elskens, Yves; Pardoux, Etienne Diffusion limit for many particles in a periodic stochastic acceleration field. (English) Zbl 1215.82048 Ann. Appl. Probab. 20, No. 6, 2022-2039 (2010). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82D10 34K50 34F05 60J70 82C05 82C31 PDFBibTeX XMLCite \textit{Y. Elskens} and \textit{E. Pardoux}, Ann. Appl. Probab. 20, No. 6, 2022--2039 (2010; Zbl 1215.82048) Full Text: DOI arXiv
Bect, Julien A unifying formulation of the Fokker-Planck-Kolmogorov equation for general stochastic hybrid systems. (English) Zbl 1201.93063 Nonlinear Anal., Hybrid Syst. 4, No. 2, 357-370 (2010). MSC: 93C30 93E03 60J75 35Q84 PDFBibTeX XMLCite \textit{J. Bect}, Nonlinear Anal., Hybrid Syst. 4, No. 2, 357--370 (2010; Zbl 1201.93063) Full Text: DOI arXiv
Pintoux, Caroline; Privault, Nicolas A direct solution to the Fokker-Planck equation for exponential Brownian functionals. (English) Zbl 1206.60061 Anal. Appl., Singap. 8, No. 3, 287-304 (2010). Reviewer: Isamu Dôku (Saitama) MSC: 60H15 60J65 60H30 81S40 35A20 33C10 91B24 82C31 PDFBibTeX XMLCite \textit{C. Pintoux} and \textit{N. Privault}, Anal. Appl., Singap. 8, No. 3, 287--304 (2010; Zbl 1206.60061) Full Text: DOI
Ambrosio, Luigi; Savaré, Giuseppe; Zambotti, Lorenzo Existence and stability for Fokker-Planck equations with log-concave reference measure. (English) Zbl 1235.60105 Probab. Theory Relat. Fields 145, No. 3-4, 517-564 (2009). MSC: 60J60 49Q20 82C31 60H10 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Probab. Theory Relat. Fields 145, No. 3--4, 517--564 (2009; Zbl 1235.60105) Full Text: DOI arXiv
Lim, S. C.; Li, Ming; Teo, L. P. Langevin equation with two fractional orders. (English) Zbl 1225.82049 Phys. Lett., A 372, No. 42, 6309-6320 (2008). MSC: 82C31 28A80 26A33 34K37 PDFBibTeX XMLCite \textit{S. C. Lim} et al., Phys. Lett., A 372, No. 42, 6309--6320 (2008; Zbl 1225.82049) Full Text: DOI
Feng, Jin From particles with random potential to a nonlinear Vlasov-Fokker-Planck equation. (English) Zbl 1167.60361 Ethier, Stewart N. (ed.) et al., Markov processes and related topics: A Festschrift for Thomas G. Kurtz. Selected papers of the conference, Madison, WI, USA, July 10–13, 2006. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 978-0-940600-76-8/pb). Institute of Mathematical Statistics Collections 4, 63-83 (2008). MSC: 60K35 60F17 92C40 PDFBibTeX XMLCite \textit{J. Feng}, Inst. Math. Stat. Collect. 4, 63--83 (2008; Zbl 1167.60361) Full Text: DOI
Dudnikova, T. V.; Komech, A. I. On a two-temperature problem for the Klein–Gordon equation. (English) Zbl 1119.82034 Theory Probab. Appl. 50, No. 4, 582-611 (2006); translation from Teor. Veroyatn. Primen. 50, No. 4, 675-710 (2005). Reviewer: Bassano Vacchini (Milano) MSC: 82C31 81Q05 PDFBibTeX XMLCite \textit{T. V. Dudnikova} and \textit{A. I. Komech}, Theory Probab. Appl. 50, No. 4, 582--611 (2006; Zbl 1119.82034); translation from Teor. Veroyatn. Primen. 50, No. 4, 675--710 (2005) Full Text: DOI
Bardou, Olivier Invariance principles with logarithmic averaging for ergodic simulations. (English) Zbl 1119.60021 Niederreiter, Harald (ed.) et al., Monte Carlo and quasi-Monte Carlo methods 2004. Refereed proceedings of the sixth international conference on Monte Carlo and quasi-Monte Carlo methods in scientific computation, Juan-les-Pins, France, June 7–10, 2004. Berlin: Springer (ISBN 3-540-25541-9/pbk). 1-13 (2006). Reviewer: Ilya Pavlyukevich (Berlin) MSC: 60H10 37H99 60F17 60H05 60H35 60J60 65C05 65C30 PDFBibTeX XMLCite \textit{O. Bardou}, in: Monte Carlo and quasi-Monte Carlo methods 2004. Refereed proceedings of the sixth international conference on Monte Carlo and quasi-Monte Carlo methods in scientific computation, Juan-les-Pins, France, June 7--10, 2004. Berlin: Springer. 1--13 (2006; Zbl 1119.60021)
Attal, Stéphane; Pautrat, Yan From repeated to continuous quantum interactions. (English) Zbl 1099.81040 Ann. Henri Poincaré 7, No. 1, 59-104 (2006). Reviewer: Nicolas Privault (Poitiers) MSC: 81S25 46N50 81P15 81V80 82C31 PDFBibTeX XMLCite \textit{S. Attal} and \textit{Y. Pautrat}, Ann. Henri Poincaré 7, No. 1, 59--104 (2006; Zbl 1099.81040) Full Text: DOI arXiv
Manzini, Chiara Quantum kinetic models of open quantum systems in semiconductors theory. (English) Zbl 1104.82037 Münster: Univ. Münster, Fachbereich Mathematik und Informatik, Mathematisch-Naturwissenschaftliche Fakultät (Diss.). 136 p. (2005). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 82C31 82C21 82C22 82D37 81S30 81S25 82D20 PDFBibTeX XMLCite \textit{C. Manzini}, Quantum kinetic models of open quantum systems in semiconductors theory. Münster: Univ. Münster, Fachbereich Mathematik und Informatik, Mathematisch-Naturwissenschaftliche Fakultät (Diss.) (2005; Zbl 1104.82037)
Filbet, Francis; Pareschi, Lorenzo Movie Communication: Numerical solution of the Fokker-Planck-Landau equation by spectral methods. (English) Zbl 1081.82601 Commun. Math. Sci. 1, No. 1, 206-207 (2003). MSC: 82C31 82-08 65M70 65L06 35K55 35R10 PDFBibTeX XMLCite \textit{F. Filbet} and \textit{L. Pareschi}, Commun. Math. Sci. 1, No. 1, 206--207 (2003; Zbl 1081.82601) Full Text: DOI Euclid
Frank, T. D. A Markov approach to nonlinear multivariate delay systems with noise. (English) Zbl 1063.60094 Phys. Scr. 68, No. 5, 333-336 (2003). Reviewer: Evelyn Buckwar (Berlin) MSC: 60H20 34K50 34F05 60J99 PDFBibTeX XMLCite \textit{T. D. Frank}, Phys. Scr. 68, No. 5, 333--336 (2003; Zbl 1063.60094) Full Text: DOI
Weng, Peixuan; Huang, Huaxiong; Wu, Jianhong Asymptotic speed of propagation of wave fronts in a lattice delay differential equation with global interaction. (English) Zbl 1048.35123 IMA J. Appl. Math. 68, No. 4, 409-439 (2003). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35R10 37N25 37L60 35K57 92D25 PDFBibTeX XMLCite \textit{P. Weng} et al., IMA J. Appl. Math. 68, No. 4, 409--439 (2003; Zbl 1048.35123) Full Text: DOI Link
Spivak, Alexander; Schuss, Zeev Analytical and numerical study of Kramers’ exit problem. II. (English) Zbl 1043.60051 Appl. Math. E-Notes 3, 147-155 (2003). Reviewer: Dominique Lepingle (Orléans) MSC: 60H10 82C31 46N55 47N55 PDFBibTeX XMLCite \textit{A. Spivak} and \textit{Z. Schuss}, Appl. Math. E-Notes 3, 147--155 (2003; Zbl 1043.60051) Full Text: EuDML EMIS
Singer, Hermann Nonlinear continuous-discrete filtering using kernel density estimates and functional integrals. (English) Zbl 1024.62039 J. Math. Sociol. 27, No. 1, 1-28 (2003). Reviewer: Henri Schurz (Carbondale) MSC: 62M20 60G35 65C60 60H10 PDFBibTeX XMLCite \textit{H. Singer}, J. Math. Sociol. 27, No. 1, 1--28 (2003; Zbl 1024.62039) Full Text: DOI
Schuss, Z.; Spivak, A. The exit distribution on the stochastic separatrix in Kramers’ exit problem. (English) Zbl 1007.60056 SIAM J. Appl. Math. 62, No. 5, 1698-1711 (2002). Reviewer: Stanisław Wedrychowicz (Rzeszów) MSC: 60H10 82C31 46N55 47N55 PDFBibTeX XMLCite \textit{Z. Schuss} and \textit{A. Spivak}, SIAM J. Appl. Math. 62, No. 5, 1698--1711 (2002; Zbl 1007.60056) Full Text: DOI
Klyatskin, V. I. Stochastic equations with the eyes of a physicist. (Stokhasticheskie uravneniya glazami fizika. Osnovnye polozheniya, tochnye rezul’taty i asimptoticheskie priblizheniya.) (Russian) Zbl 1003.60001 Moskva: Fizmatlit. 527 p. (2001). Reviewer: Ilya Pavlyukevitch (Berlin) MSC: 60-01 60H10 60H15 60H20 60J70 60K37 60K40 86A05 76B65 PDFBibTeX XMLCite \textit{V. I. Klyatskin}, Stokhasticheskie uravneniya glazami fizika. Osnovnye polozheniya, tochnye rezul'taty i asimptoticheskie priblizheniya (Russian). Moskva: Fizmatlit (2001; Zbl 1003.60001)
Iancu, E.; Leonidov, A.; McLerran, L. Nonlinear gluon evolution in the color glass condensate. I. (English) Zbl 0971.81173 Nucl. Phys., A 692, No. 3-4, 583-645 (2001). MSC: 81V05 82C31 82C10 PDFBibTeX XMLCite \textit{E. Iancu} et al., Nucl. Phys., A 692, No. 3--4, 583--645 (2001; Zbl 0971.81173) Full Text: DOI arXiv
Iancu, E.; Leonidov, A.; McLerran, L. The renormalization group equation for the color glass condensate. (English) Zbl 0977.81528 Phys. Lett., B 510, No. 1-4, 133-144 (2001). MSC: 81V05 81T17 PDFBibTeX XMLCite \textit{E. Iancu} et al., Phys. Lett., B 510, No. 1--4, 133--144 (2001; Zbl 0977.81528) Full Text: DOI arXiv
Mikami, T. Dynamical systems in the variational formulation of the Fokker-Planck equation by the Wasserstein metric. (English) Zbl 0967.60034 Appl. Math. Optimization 42, No. 2, 203-227 (2000). MSC: 60F15 60H30 PDFBibTeX XMLCite \textit{T. Mikami}, Appl. Math. Optim. 42, No. 2, 203--227 (2000; Zbl 0967.60034) Full Text: DOI
To, Cho W. S. Nonlinear random vibration. Analytical techniques and applications. (English) Zbl 0966.70002 Advances in Engineering. 3. Lisse: Swets & Zeitlinger. 252 p. (2000). Reviewer: Melvin D.Lax (Long Beach) MSC: 70-02 70L05 60H10 60H15 34F05 PDFBibTeX XMLCite \textit{C. W. S. To}, Nonlinear random vibration. Analytical techniques and applications. Lisse: Swets \& Zeitlinger (2000; Zbl 0966.70002)
Kirillov, A. I. Stochastic quantization using a kerneled Langevin equation. (English. Russian original) Zbl 0976.81022 Theor. Math. Phys. 115, No. 1, 410-417 (1998); translation from Teor. Mat. Fiz. 115, No. 1, 46-55 (1998). MSC: 81S20 82C31 PDFBibTeX XMLCite \textit{A. I. Kirillov}, Theor. Math. Phys. 115, No. 1, 410--417 (1998; Zbl 0976.81022); translation from Teor. Mat. Fiz. 115, No. 1, 46--55 (1998) Full Text: DOI
Kolomjets’, O. V. On the investigation of the multifrequency vibrations for systems of differential equations with random deviations of argument. (Ukrainian) Zbl 0937.34067 Kraj. Zadachi Dyfer. Rivnyan’ 2, 123-129 (1998). Reviewer: Oleg Limarchenko (Kiev) MSC: 34K50 34E10 34F05 60H10 PDFBibTeX XMLCite \textit{O. V. Kolomjets'}, Kraĭ. Zadachi Dyfer. Rivnyan' 2, 123--129 (1998; Zbl 0937.34067)
Shevchuk, O. V. On the construction of asymptotic solutions of a hyperbolic equation of neutral type with stochastic diversions of the arguments. (Ukrainian) Zbl 0923.35194 Dopov. Akad. Nauk Ukr. 1997, No. 7, 65-70 (1997). Reviewer: Valerie Samoilenko (Kyïv) MSC: 35R10 35R60 35B20 35L10 35L05 35L70 35B40 PDFBibTeX XMLCite \textit{O. V. Shevchuk}, Dopov. Akad. Nauk Ukr. 1997, No. 7, 65--70 (1997; Zbl 0923.35194)
Shevchuk, O. V. On the construction of asymptotic solutions of a hyperbolic equation of neutral type with random deviations of the argument. (Ukrainian) Zbl 0990.35132 Dopov. Akad. Nauk Ukr. 1997, No. 7, 65-70 (1997). Reviewer: Valerie Samoilenko (Kyïv) MSC: 35R10 35R60 35C20 35L10 PDFBibTeX XMLCite \textit{O. V. Shevchuk}, Dopov. Akad. Nauk Ukr. 1997, No. 7, 65--70 (1997; Zbl 0990.35132)
Abd Al-Kader, G. M. Displaced Fock states and non-diagonal \(P\)-representation. (English) Zbl 0834.46058 J. Egypt. Math. Soc. 2, 89-101 (1994). MSC: 46N50 81R30 82B10 PDFBibTeX XMLCite \textit{G. M. Abd Al-Kader}, J. Egypt. Math. Soc. 2, 89--101 (1994; Zbl 0834.46058)
Calisto, H.; Tirapegui, E. \(\Omega\)-expansion of van Kampen through functional integrals. (English) Zbl 0945.82549 J. Stat. Phys. 71, No. 3-4, 683-703 (1993). MSC: 82C31 28C20 60J99 81S40 PDFBibTeX XMLCite \textit{H. Calisto} and \textit{E. Tirapegui}, J. Stat. Phys. 71, No. 3--4, 683--703 (1993; Zbl 0945.82549) Full Text: DOI
Simonian, Alain Stationary analysis of a fluid queue with input rate varying as an Ornstein-Uhlenbeck process. (English) Zbl 0725.60110 SIAM J. Appl. Math. 51, No. 3, 828-842 (1991). MSC: 60K30 60J60 60J35 30D05 35K20 PDFBibTeX XMLCite \textit{A. Simonian}, SIAM J. Appl. Math. 51, No. 3, 828--842 (1991; Zbl 0725.60110) Full Text: DOI
Isar, Aurelian; Scheid, Werner; Sandulescu, Aurel Quasiprobability distributions for open quantum systems within the Lindblad theory. (English) Zbl 0753.46041 J. Math. Phys. 32, No. 8, 2128-2134 (1991). MSC: 46N50 81P20 81S25 PDFBibTeX XMLCite \textit{A. Isar} et al., J. Math. Phys. 32, No. 8, 2128--2134 (1991; Zbl 0753.46041) Full Text: DOI
Inoue, Atsushi On functional-differential equations – invitation to analysis on spaces of functionals. II. (Japanese) Zbl 0763.35100 Sûgaku 42, No. 3, 261-265 (1990). Reviewer: H.Yamagata (Osaka) MSC: 35R10 46G12 58D25 PDFBibTeX XMLCite \textit{A. Inoue}, Sūgaku 42, No. 3, 261--265 (1990; Zbl 0763.35100)
Ruzhnikov, G. M. Using the Fokker-Planck-Kolmogorov equation in differential games. (Russian) Zbl 0701.90102 Asymptotic methods, Problems of mechanics, Collect. Sci. Works, 200-205 (1988). MSC: 91A23 PDFBibTeX XML
Bogolyubov, N. N. Kinetic equations and Green’s functions in statistical mechanics. (English. Russian original) Zbl 0591.76135 Transl., Ser. 2, Am. Math. Soc. 125, 67-82 (1985); translation from Methods of Statistical Mechanics, Baku 1980, 3-22 (1980). Reviewer: Han Shifang MSC: 76P05 82B40 34B27 70F10 70G10 PDFBibTeX XMLCite \textit{N. N. Bogolyubov}, Transl., Ser. 2, Am. Math. Soc. 125, 67--82 (1985; Zbl 0591.76135); translation from Methods of Statistical Mechanics, Baku 1980, 3--22 (1980) Full Text: DOI
Sagués, F.; Garrido, L. A non-renormalized and a renormalized description of the Fokker-Planck dynamics. (English) Zbl 0557.60070 Recent developments in nonequilibrium thermodynamics, Proc. Meet. Bellaterra (Barcelona)/Spain 1983, Lect. Notes Phys. 199, 468-473 (1984). MSC: 60J70 PDFBibTeX XML
Ahlbehrendt, Norbert; Kempe, Volker Analyse stochastischer Systeme. Nichtlineare dynamische Systeme. (German) Zbl 0527.93001 Informatik, Kybernetik, Rechentechnik, Bd. 7. Berlin: Akademie-Verlag. 334 S., 37 Abb., 7 Tab. M. 58.00 (1984). MSC: 93-01 93E03 93C10 93E25 34F05 60H10 60J60 41A58 60E10 62E10 PDFBibTeX XML
Malchow, Horst; Ebeling, W.; Feistel, R.; Schimansky-Geier, L. Stochastic bifurcations in a bistable reaction-diffusion system with Neumann boundary conditions. (English) Zbl 0551.60088 Ann. Phys., Leipzig 40, 151-160 (1983). MSC: 60J70 35K57 PDFBibTeX XMLCite \textit{H. Malchow} et al., Ann. der Physik, VII. F. 40, 151--160 (1983; Zbl 0551.60088) Full Text: DOI
Steiger, Ulrich R.; Fox, Ronald F. Boson operator representation of Brownian motion. (English) Zbl 0528.76093 J. Math. Phys. 23, 1678-1687 (1982). MSC: 76R99 76P05 81T99 PDFBibTeX XMLCite \textit{U. R. Steiger} and \textit{R. F. Fox}, J. Math. Phys. 23, 1678--1687 (1982; Zbl 0528.76093) Full Text: DOI
Leschke, Hajo Path integral approach to fluctuations in dynamic processes. (English) Zbl 0473.58007 Chaos and order in nature, Proc. int. Symp., Schloss Elmau/Bavaria 1981, Springer Ser. Synergetics 11, 156-163 (1981). MSC: 58D30 58D25 81S40 28C20 47D03 58J40 60H05 PDFBibTeX XML
Langouche, F.; Roekaerts, D.; Tirapegui, E. Semiclassical expansions on Riemannian manifolds. (English) Zbl 0481.58029 Functional integration, Theory Appl., Proc. Colloq., Louvain-la- Neuve/Belgium 1979, 191-205 (1980). MSC: 58J90 81Q05 35Q99 58D30 53C20 PDFBibTeX XML
Lin, Juan; Kahn, Peter B. Random effects in population models with hereditary effects. (English) Zbl 0451.92016 J. Math. Biol. 10, 101-112 (1980). MSC: 92D25 34K99 60K99 PDFBibTeX XMLCite \textit{J. Lin} and \textit{P. B. Kahn}, J. Math. Biol. 10, 101--112 (1980; Zbl 0451.92016) Full Text: DOI
Langouche, F.; Roekaerts, D.; Tirapegui, E. WKB-expansions for propagators. (English) Zbl 0451.35083 Dynamical systems and microphysics, CISM Courses Lect. 261, 329-333 (1980). MSC: 35Q99 34E20 PDFBibTeX XML
Mizrahi, Maurice M. Correspondence rules and path integrals. (English) Zbl 0412.58017 Feynman path integrals, Proc. int. Colloq., Marseille 1978, Lect. Notes Phys. 106, 234-253 (1979). MSC: 37J99 60J60 60G99 81Q05 81Q30 81S40 PDFBibTeX XML
Khokhlov, R. V.; Makov, Ju. N. On Markov wave processes. (Russian) Zbl 0409.60068 Problems of mathematical physics and numerical mathematics, Work Collect., Moscow 1977, 308-316 (1977). MSC: 60H99 70L05 93E25 PDFBibTeX XML
Kolomiets, V. G.; Korenevskiĭ, D. G. On excitation of oscillations in nonlinear systems with random retardation. (Über die Erregung von Schwingungen in nichtlinearen Systemen mit zufälliger Nacheilung.) (Russian) Zbl 0196.37601 Ukr. Mat. Zh. 18, No. 3, 51-57 (1966). Reviewer: I. Vrkoč MSC: 34K99 70K99 34F05 60H10 PDFBibTeX XMLCite \textit{V. G. Kolomiets} and \textit{D. G. Korenevskiĭ}, Ukr. Mat. Zh. 18, No. 3, 51--57 (1966; Zbl 0196.37601)