Gaussian stochastic processes in physics

Langevin, 1908, C.R. Acad. Sci. Paris, 146, 530 Einstein, 1956 Wang, 1945, Rev. Mod. Phys., 17, 323, 10.1103/RevModPhys.17.323 Doob, 1942, Annals of Math., 43, 351, 10.2307/1968873 Arnold, 1974 Uhlenbeck, 1930, Phys. Rev., 36, 823, 10.1103/PhysRev.36.823 Halmos, 1958 Onsager, 1953, Phys. Rev., 91, 1505, 10.1103/PhysRev.91.1505 Onsager, 1953, Phys. Rev., 91, 1512, 10.1103/PhysRev.91.1505 Onsager, 1931, Phys. Rev., 37, 405, 10.1103/PhysRev.37.405 Onsager, 1931, Phys. Rev., 38, 2265, 10.1103/PhysRev.38.2265 de Groot, 1962 Fox, 1970, Phys. of Fluids, 13, 1893, 10.1063/1.1693183 Fox, 1970, Phys. of Fluids, 13, 2881, 10.1063/1.1692878 Kubo, 1965 Finkbeiner, 1960 Foch, 1971, Phys. of Fluids, 14, 893, 10.1063/1.1693545 Foch, 1972, Phys. of Fluids, 15, 224, 10.1063/1.1693898 Chow, 1973, Physica, 65, 156, 10.1016/0031-8914(73)90239-5 Fox, 1976, J. Chem. Phys., 64, 5307, 10.1063/1.432161 Szu, 1974, Phys. of Fluids, 17, 903, 10.1063/1.1694830 Landau, 1959 Landau, 1960 Hauge, 1973, J. Stat. Phys., 7, 259, 10.1007/BF01030307 Adelman, 1976, J. Chem. Phys., 64, 124, 10.1063/1.431961 Fox, 1977, J. Stat. Phys., 16, 259, 10.1007/BF01020382 Fox, 1977, J. Math. Phys., 18, 2331, 10.1063/1.523242 Cohen, 1971 Dufty, 1974, Phys. of Fluids, 17, 328, 10.1063/1.1694718 Mori, 1965, Prog. Theor. Phys., 33, 423, 10.1143/PTP.33.423 Zwanzig, 1961, Phys. Rev., 124, 983, 10.1103/PhysRev.124.983 Uhlenbeck, 1963 Feynman, 1951, Phys. Rev., 84, 108, 10.1103/PhysRev.84.108 Feller, 1968 Fox, 1977, J. Math. Phys., 18, 2331, 10.1063/1.523242 Mori, 1965, Prog. Theor. Phys., 34, 399, 10.1143/PTP.34.399 Tokuyama, 1976, Prog. Theor. Phys., 55, 411, 10.1143/PTP.55.411 McQuarrie, 1967, J. Appl. Prob., 4, 413, 10.2307/3212214 McKean, 1967, J. Comb. Theory, 2, 358, 10.1016/S0021-9800(67)80035-8 Siegert, 1949, Phys. Rev., 76, 1708, 10.1103/PhysRev.76.1708 Logan, 1976, Phys. Rev. A, 13, 458, 10.1103/PhysRevA.13.458 Nordsieck, 1940, Physica (Utr.), 7, 344, 10.1016/S0031-8914(40)90102-1 Kurtz, 1972, J. Chem. Phys., 57, 2976, 10.1063/1.1678692 van Kampen, 1961, Can. J. Phys., 39, 551, 10.1139/p61-056 Kubo, 1973, J. Stat. Phys., 9, 51, 10.1007/BF01016797 Kurtz, 1970, J. Appl. Prob., 7, 49, 10.2307/3212147 Kurtz, 1971, J. Appl. Prob., 8, 344, 10.2307/3211904 Oppenheim, 1969, J. Chem. Phys., 50, 460, 10.1063/1.1670820 Fox, 1977, Biosystems, 8, 187, 10.1016/0303-2647(77)90038-7 Keizer, 1975, J. Chem. Phys., 63, 398, 10.1063/1.431117 Keizer, 1975, J. Chem. Phys., 63, 5037, 10.1063/1.431204 Keizer, 1976, J. Chem. Phys., 64, 1679, 10.1063/1.432341 Keizer, 1976, J. Chem. Phys., 65, 4431, 10.1063/1.432977 Keizer, 1977, J. Chem. Phys., 67, 1473, 10.1063/1.435021 Fox, 1977, J. Math. Phys., 18, 2331, 10.1063/1.523242 Kramers, 1940, Physica, 7, 284, 10.1016/S0031-8914(40)90098-2 Moval, 1949, J. Roy. Stat. Soc. (B), 11, 150 Verhulst, 1847, Nuov. Mem. Acad. Roy. Bruxelles, 18, 1 Verhulst, 1847, Nuov. Mem. Acad. Roy. Bruxelles, 20, 1 Gompertz, 1825, Phil. Trans. Roy. Soc., 115, 513, 10.1098/rstl.1825.0026 Leigh, 1969 Goel, 1971, Rev. Mod. Phys., 43, 231, 10.1103/RevModPhys.43.231 Keizer, 1977, J. Math. Phys., 18, 1361, 10.1063/1.523422 Bixon, 1969, Phys. Rev., 187, 267, 10.1103/PhysRev.187.267 Landau, 1958 Alder, 1970, Phys. Rev. A, 1, 18, 10.1103/PhysRevA.1.18 Dorfman, 1970, Phys. Rev. Lett., 25, 1257, 10.1103/PhysRevLett.25.1257 Zwanzig, 1970, Phys. Rev. A, 2, 2005, 10.1103/PhysRevA.2.2005 Ernst, 1970, Phys. Rev. Lett., 25, 1254, 10.1103/PhysRevLett.25.1254 Kawasaki, 1971, Prog. Theor. Phys. (Kyoto), 45, 1961 Pomeau, 1972, Phys. Rev. A, 5, 2569, 10.1103/PhysRevA.5.2569 Pomeau, 1973, Phys. Rev. A, 7, 1134, 10.1103/PhysRevA.7.1134 Mashiyama, 1978, Origin of the Landau-Lifshitz Hydrodynamic Fluctuations in Non-equilibrium Systems and a New Method for Reducing the Boltzmann equation, J. Stat. Phys., 10.1007/BF01106730 Putterman, 1974 Putterman, 1977, Phys. Rev. Lett., 39, 585, 10.1103/PhysRevLett.39.585 Fox, 1978, Hydrodynamic Fluctuation Theories, J. Math. Phys., 10.1063/1.523898 Keizer, 1978, Phys. Fluids, 21, 198, 10.1063/1.862214 Einstein, 1956 1906, Annalen der Physik, 19, 371 Wiener, 1923, J. Math. and Phys., 2, 132, 10.1002/sapm192321131 1930, Acta Math., 55, 117, 10.1007/BF02546511 Einstein, 1956 Chamdrasekhar, 1943, Rev. Mod. Phys., 15, 1, 10.1103/RevModPhys.15.1 Ito, 1944, 20, 519 1951, Mem. Amer. Math. Soc. No. 4 Stratonovich, 1966, SIAM J. Control, 4, 362, 10.1137/0304028 McKean, 1969 Fox, 1972, J. Math. Phys., 13, 1196, 10.1063/1.1666123 Kubo, 1962, A Stochastic Theory of Line-Shape and Relaxation Kubo, 1963, J. Math. Phys., 4, 174, 10.1063/1.1703941 Riordan, 1958 Feynman, 1965 Meeron, 1957, J. Chem. Phys., 27, 1238, 10.1063/1.1743985 Kubo, 1962, J. Phys. Soc. Japan, 17, 1100, 10.1143/JPSJ.17.1100 van Kampen, 1974, Physica, 74, 215, 10.1016/0031-8914(74)90121-9 van Kampen, 1974, Physica, 74, 239, 10.1016/0031-8914(74)90122-0 Ford, 1974, Notes on Stochastic Differential Equations Ford, 1976, 76, 117 Fox, 1976, J. Math. Phys., 17, 1148, 10.1063/1.523041 Fox, 1974, J. Math. Phys., 15, 1479, 10.1063/1.1666835 Fox, 1975, J. Math. Phys., 16, 289, 10.1063/1.522540 Freed, 1968, J. Chem. Phys., 49, 376, 10.1063/1.1669833 Terweil, 1974, Physica, 74, 248, 10.1016/0031-8914(74)90123-2 Yoon, 1975, J. Chem. Phys., 62, 4687, 10.1063/1.430417 Tolman, 1938 Tolman, 1938 Fox, 1972, J. Math. Phys., 13, 1726, 10.1063/1.1665898 Boltzmann, 1872, K. Akad. Wiss. (Wien) Sitzb., II Abt., 66, 275 Fetter, 1971 Redfield, 1965, Vol. 1, 1 Fox, 1973, J. Math. Phys., 14, 20, 10.1063/1.1666166 Fox, 1974, J. Math. Phys., 15, 217, 10.1063/1.1666625 Fox, 1976, J. Math. Phys., 16, 1214, 10.1063/1.522670 Kubo, 1963, Stochastic Processes and Statistical Mechanics of Irreversible Processes van Kampen, 1976, Physics Reports, 24C, 171, 10.1016/0370-1573(76)90029-6 Uhlenbeck, 1963 Kac, 1959 Ornstein, 1919, 21, 96 Fürth, 1920, Zeits. f. Physik, 2, 244, 10.1007/BF01328731 Einstein, 1956 Sakurai, 1967 Messiah, 1961, Vol. I, 442 Akhiezer, 1965 Bloch, 1932, Z. Physik, 74, 295, 10.1007/BF01337791 Fox, 1975, lecture notes Welton, 1948, Phys. Rev., 74, 1157, 10.1103/PhysRev.74.1157 Schwinger, 1948, Phys. Rev., 73, 416, 10.1103/PhysRev.73.416 Sakurai, 1967 Louisell, 1973 Stratonovich, 1963, Vol. I Stratonovich, 1967, Vol. II