-
1
-
-
84977586068
-
Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspensierten Teilchen
-
Einstein A. Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspensierten Teilchen. Ann. Phys. (Leipzig) 17 (1905) 549-560
-
(1905)
Ann. Phys. (Leipzig)
, vol.17
, pp. 549-560
-
-
Einstein, A.1
-
2
-
-
33751175125
-
-
A. Einstein, M. von Smoluchowski, Untersuchungen über die Theorie der Brownschen Bewegung/Abhandlungen über die Brownsche Bewegung und verwandte Erscheinungen, third ed. vol. 199, Harri Deutsch, Frankfurt, 1999.
-
-
-
-
3
-
-
36149005118
-
On the theory of the Brownian motion
-
Uhlenbeck G.E., and Ornstein L.S. On the theory of the Brownian motion. Phys. Rev. 36 (1930) 823-841
-
(1930)
Phys. Rev.
, vol.36
, pp. 823-841
-
-
Uhlenbeck, G.E.1
Ornstein, L.S.2
-
4
-
-
0002121327
-
Stochastic problems in physics and astronomy
-
Chandrasekhar S. Stochastic problems in physics and astronomy. Rev. Mod. Phys. 15 1 (1943) 1-89
-
(1943)
Rev. Mod. Phys.
, vol.15
, Issue.1
, pp. 1-89
-
-
Chandrasekhar, S.1
-
5
-
-
36149027699
-
On the theory of the Brownian motion ii
-
Wang M.C., and Uhlenbeck G.E. On the theory of the Brownian motion ii. Rev. Mod. Phys. 17 (1945) 323-342
-
(1945)
Rev. Mod. Phys.
, vol.17
, pp. 323-342
-
-
Wang, M.C.1
Uhlenbeck, G.E.2
-
6
-
-
33751159556
-
-
I. Karatzas, S.E. Shreve, Brownian Motion and Stochastic Calculus, second ed., Graduate Texts in Mathematics, vol. 113, Springer, New York, Berlin, 1991.
-
-
-
-
7
-
-
84976651235
-
Zur Elektrodynamik bewegter Körper
-
Einstein A. Zur Elektrodynamik bewegter Körper. Ann. Phys. (Leipzig) 17 4 (1905) 891-921
-
(1905)
Ann. Phys. (Leipzig)
, vol.17
, Issue.4
, pp. 891-921
-
-
Einstein, A.1
-
8
-
-
84978088481
-
Ist die Trägheit eines Körpers von seinem Energiegehalt abhängig?
-
Einstein A. Ist die Trägheit eines Körpers von seinem Energiegehalt abhängig?. Ann. Phys. (Leipzig) 18 (1905) 639-641
-
(1905)
Ann. Phys. (Leipzig)
, vol.18
, pp. 639-641
-
-
Einstein, A.1
-
9
-
-
33751170164
-
-
G. Schay, The equations of diffusion in the special theory of relativity, Ph.D. Thesis, Princeton University, available through University Microfilms, Ann Arbor, Michigan, 〈https://wwwlib.umi.com〉, 1961.
-
-
-
-
10
-
-
33846665860
-
A covariant theory of relativistic Brownian motion
-
Hakim R. A covariant theory of relativistic Brownian motion. J. Math. Phys. 6 10 (1965) 1482-1495
-
(1965)
J. Math. Phys.
, vol.6
, Issue.10
, pp. 1482-1495
-
-
Hakim, R.1
-
11
-
-
84950352273
-
Lorentz-invariant Markov processes in relativistic phase space
-
Dudley R.M. Lorentz-invariant Markov processes in relativistic phase space. Arkiv Math. 6 14 (1965) 241-268
-
(1965)
Arkiv Math.
, vol.6
, Issue.14
, pp. 241-268
-
-
Dudley, R.M.1
-
12
-
-
51249183752
-
A note on relativistic Markov processes
-
Guerra F., and Ruggiero P. A note on relativistic Markov processes. Lett. Nouvo Cimento 23 (1978) 529
-
(1978)
Lett. Nouvo Cimento
, vol.23
, pp. 529
-
-
Guerra, F.1
Ruggiero, P.2
-
13
-
-
24544463068
-
Inconsistency between the Boltzmann distribution for relativistic free particles and the Rayleigh-Jeans law for thermal radiation within classical electrodynamics
-
Boyer T.H. Inconsistency between the Boltzmann distribution for relativistic free particles and the Rayleigh-Jeans law for thermal radiation within classical electrodynamics. Phys. Rev. D 19 (1979) 1112-1115
-
(1979)
Phys. Rev. D
, vol.19
, pp. 1112-1115
-
-
Boyer, T.H.1
-
14
-
-
36749120250
-
Relativistic Brownian motion and the space-time approach to quantum mechanics
-
Roy S. Relativistic Brownian motion and the space-time approach to quantum mechanics. J. Math. Phys. 21 1 (1980) 71-76
-
(1980)
J. Math. Phys.
, vol.21
, Issue.1
, pp. 71-76
-
-
Roy, S.1
-
15
-
-
4243317295
-
Relativistic Brownian motion and the spectrum of thermal radiation
-
Ben-Ya'acov U. Relativistic Brownian motion and the spectrum of thermal radiation. Phys. Rev. D 23 6 (1981) 1441-1450
-
(1981)
Phys. Rev. D
, vol.23
, Issue.6
, pp. 1441-1450
-
-
Ben-Ya'acov, U.1
-
16
-
-
21844491001
-
Markov diffusions in comoving coordinates and stochastic quantization of the free relativistic particle
-
Morato L.M., and Viola L. Markov diffusions in comoving coordinates and stochastic quantization of the free relativistic particle. J. Math. Phys. 36 (1995) 4691
-
(1995)
J. Math. Phys.
, vol.36
, pp. 4691
-
-
Morato, L.M.1
Viola, L.2
-
17
-
-
33646984665
-
Markov diffusions in comoving coordinates and stochastic quantization of the free relativistic particle
-
Morato L.M., and Viola L. Markov diffusions in comoving coordinates and stochastic quantization of the free relativistic particle. J. Math. Phys. Erratum 37 (1996) 4769
-
(1996)
J. Math. Phys. Erratum
, vol.37
, pp. 4769
-
-
Morato, L.M.1
Viola, L.2
-
18
-
-
0039487462
-
Poincareé invariant Markov processes and Gaussian random fields on relativistic phase-spaces
-
Posilicano A. Poincareé invariant Markov processes and Gaussian random fields on relativistic phase-spaces. Lett. Math. Phys. 42 (1997) 85
-
(1997)
Lett. Math. Phys.
, vol.42
, pp. 85
-
-
Posilicano, A.1
-
19
-
-
27944504709
-
On the unification of geometric and random structures through torsion fields: Brownian motion, viscous and magneto-fluid-dynamics
-
Rapoport D.L. On the unification of geometric and random structures through torsion fields: Brownian motion, viscous and magneto-fluid-dynamics. Found. Phys. 35 7 (2005) 1205-1243
-
(2005)
Found. Phys.
, vol.35
, Issue.7
, pp. 1205-1243
-
-
Rapoport, D.L.1
-
20
-
-
28244460743
-
Cartan-Weyl Dirac and Laplacian operators, Brownian motions: the quantum potential and scalar curvature, Maxwell's and Dirac-Hestenes equations, and supersymmetric systems
-
Rapoport D.L. Cartan-Weyl Dirac and Laplacian operators, Brownian motions: the quantum potential and scalar curvature, Maxwell's and Dirac-Hestenes equations, and supersymmetric systems. Found. Phys. 35 8 (2005) 1385-1431
-
(2005)
Found. Phys.
, vol.35
, Issue.8
, pp. 1385-1431
-
-
Rapoport, D.L.1
-
21
-
-
27844476789
-
Relativistic Brownian motion and gravity as an eikonal approximation to a quantum evolution equation
-
Oron O., and Horwitz L.P. Relativistic Brownian motion and gravity as an eikonal approximation to a quantum evolution equation. Found. Phys. 35 7 (2005) 1181-1203
-
(2005)
Found. Phys.
, vol.35
, Issue.7
, pp. 1181-1203
-
-
Oron, O.1
Horwitz, L.P.2
-
22
-
-
33751197417
-
Relativistic diffusions and Schwarzschild geometry
-
Franchi J., and Le Jan Y. Relativistic diffusions and Schwarzschild geometry. Comm. Pure Appl. Math. LIX (2006) 1-65
-
(2006)
Comm. Pure Appl. Math.
, vol.LIX
, pp. 1-65
-
-
Franchi, J.1
Le Jan, Y.2
-
23
-
-
33751175124
-
-
A. Fingerle, Relativistic fluctuation theorems, arXiv:cond-mat/0601303.
-
-
-
-
25
-
-
33751187058
-
-
C. Cercignani, G.M. Kremer, The Relativistic Boltzmann Equation: Theory and Applications, Progress in Mathematical Physics, vol. 22, Birkhäuser, Basel, Boston, Berlin, 2002.
-
-
-
-
26
-
-
3843095103
-
Covariant formulation of the Fokker-Planck equation for moderately coupled relativistic magnetoplasma
-
Baral K.C., and Mohanty J.N. Covariant formulation of the Fokker-Planck equation for moderately coupled relativistic magnetoplasma. Phys. Plasmas 7 4 (2000) 1103-1112
-
(2000)
Phys. Plasmas
, vol.7
, Issue.4
, pp. 1103-1112
-
-
Baral, K.C.1
Mohanty, J.N.2
-
27
-
-
41349106368
-
Theory of the relativistic Brownian motion: the (1 + 1)-dimensional case
-
Dunkel J., and Hänggi P. Theory of the relativistic Brownian motion: the (1 + 1)-dimensional case. Phys. Rev. E 71 (2005) 016124
-
(2005)
Phys. Rev. E
, vol.71
, pp. 016124
-
-
Dunkel, J.1
Hänggi, P.2
-
28
-
-
28844440872
-
Theory of the relativistic Brownian motion: the (1 + 3)-dimensional case
-
Dunkel J., and Hänggi P. Theory of the relativistic Brownian motion: the (1 + 3)-dimensional case. Phys. Rev. E 72 (2005) 036106
-
(2005)
Phys. Rev. E
, vol.72
, pp. 036106
-
-
Dunkel, J.1
Hänggi, P.2
-
30
-
-
3543059514
-
A diffusion process in curved space-time
-
Debbasch F. A diffusion process in curved space-time. J. Math. Phys. 45 (2004) 2744-2760
-
(2004)
J. Math. Phys.
, vol.45
, pp. 2744-2760
-
-
Debbasch, F.1
-
31
-
-
24344470973
-
Free Brownian motion approach to the ideal gas of relativistic particles
-
Zygadlo R. Free Brownian motion approach to the ideal gas of relativistic particles. Phys. Lett. A 345 (2005) 323-329
-
(2005)
Phys. Lett. A
, vol.345
, pp. 323-329
-
-
Zygadlo, R.1
-
32
-
-
33751190904
-
-
J. Dunkel, P. Hänggi, Relativistic Brownian motion: from a microscopic binary collision model to the Langevin equation, arXiv:cond-mat/0607082 (2006).
-
-
-
-
33
-
-
0001455484
-
Stochastic integral
-
Ito K. Stochastic integral. Proc. Imp. Acad. Tokyo 20 (1944) 519-524
-
(1944)
Proc. Imp. Acad. Tokyo
, vol.20
, pp. 519-524
-
-
Ito, K.1
-
34
-
-
0001739440
-
On stochastic differential equations
-
Ito K. On stochastic differential equations. Mem. Amer. Math. Soc. 4 (1951) 51-89
-
(1951)
Mem. Amer. Math. Soc.
, vol.4
, pp. 51-89
-
-
Ito, K.1
-
36
-
-
0001736303
-
A new representation for stochastic integrals and equations
-
Stratonovich R.L. A new representation for stochastic integrals and equations. SIAM J. Control 4 (1966) 362-371
-
(1966)
SIAM J. Control
, vol.4
, pp. 362-371
-
-
Stratonovich, R.L.1
-
37
-
-
33751172077
-
-
D. Fisk, Quasi-martingales and stochastic integrals, Ph.D Thesis, Michigan State University, Department of Statistics.
-
-
-
-
38
-
-
84968481734
-
Quasimartingales
-
Fisk D. Quasimartingales. Trans. Amer. Math. Soc. 120 (1965) 369-389
-
(1965)
Trans. Amer. Math. Soc.
, vol.120
, pp. 369-389
-
-
Fisk, D.1
-
39
-
-
4243524698
-
Stochastic processes i: asymptotic behaviour and symmetries
-
Hänggi P. Stochastic processes i: asymptotic behaviour and symmetries. Helv. Phys. Acta 51 (1978) 183-201
-
(1978)
Helv. Phys. Acta
, vol.51
, pp. 183-201
-
-
Hänggi, P.1
-
40
-
-
18244400219
-
Connection between deterministic and stochastic descriptions of nonlinear systems
-
Hänggi P. Connection between deterministic and stochastic descriptions of nonlinear systems. Helv. Phys. Acta 53 (1980) 491-496
-
(1980)
Helv. Phys. Acta
, vol.53
, pp. 491-496
-
-
Hänggi, P.1
-
41
-
-
49049141388
-
Stochastic processes: time evolution, symmetries and linear response
-
Hänggi P., and Thomas H. Stochastic processes: time evolution, symmetries and linear response. Phys. Rep. 88 4 (1982) 207-319
-
(1982)
Phys. Rep.
, vol.88
, Issue.4
, pp. 207-319
-
-
Hänggi, P.1
Thomas, H.2
-
42
-
-
33745202687
-
Nonlinear Brownian motion
-
Klimontovich Y.L. Nonlinear Brownian motion. Phys.-Usp. 37 8 (1994) 737-766
-
(1994)
Phys.-Usp.
, vol.37
, Issue.8
, pp. 737-766
-
-
Klimontovich, Y.L.1
-
43
-
-
84973242902
-
Das Maxwellsche Gesetz der Geschwindigkeitsverteilung in der Relativtheorie
-
Jüttner F. Das Maxwellsche Gesetz der Geschwindigkeitsverteilung in der Relativtheorie. Ann. Phys. (Leipzig) 34 (1911) 856-882
-
(1911)
Ann. Phys. (Leipzig)
, vol.34
, pp. 856-882
-
-
Jüttner, F.1
-
45
-
-
33751166725
-
-
T. Matolcsi, J. Kristóf, M. Sezékely, On the momentum distribution of molecules of an ideal gas, 〈http://www.cs.elte.hu/applanal/eng/publ_eng.html〉 2005.
-
-
-
-
47
-
-
33751162063
-
-
Wolfram Research, Inc., Mathematica 5.0.1.0 (2003).
-
-
-
-
49
-
-
33644620781
-
Covariant equilibrium statistical mechanics
-
Lehmann E. Covariant equilibrium statistical mechanics. J. Math. Phys. 47 (2006) 023303
-
(2006)
J. Math. Phys.
, vol.47
, pp. 023303
-
-
Lehmann, E.1
-
50
-
-
0004276578
-
-
Springer, Wien
-
Sexl R.U., and Urbantke H.K. Relativity, Groups, Particles, Springer Physics (2001), Springer, Wien
-
(2001)
Relativity, Groups, Particles, Springer Physics
-
-
Sexl, R.U.1
Urbantke, H.K.2
-
51
-
-
33645464255
-
Heavy-quark probes of the quark-gluon plasma and interpretation of recent data taken at the BNL relativistic heavy ion collider
-
van Hees H., Greco V., and Rapp R. Heavy-quark probes of the quark-gluon plasma and interpretation of recent data taken at the BNL relativistic heavy ion collider. Phys. Rev. C 73 3 (2006) 034913
-
(2006)
Phys. Rev. C
, vol.73
, Issue.3
, pp. 034913
-
-
van Hees, H.1
Greco, V.2
Rapp, R.3
-
52
-
-
0000594694
-
The observations of relic radiation as a test of the nature of X-ray radiation from the clusters of galaxies
-
Sunyaev R.A., and Zeldovich Y.B. The observations of relic radiation as a test of the nature of X-ray radiation from the clusters of galaxies. Comm. Astrophy. Space Phys. 4 (1972) 173
-
(1972)
Comm. Astrophy. Space Phys.
, vol.4
, pp. 173
-
-
Sunyaev, R.A.1
Zeldovich, Y.B.2
-
53
-
-
22644451801
-
Relativistic corrections to the Sunyaev-Zeldovich effect for clusters of galaxies
-
Itoh N., Kohyama Y., and Nozawa S. Relativistic corrections to the Sunyaev-Zeldovich effect for clusters of galaxies. Astrophys. J. 502 (1998) 7-15
-
(1998)
Astrophys. J.
, vol.502
, pp. 7-15
-
-
Itoh, N.1
Kohyama, Y.2
Nozawa, S.3
|