메뉴 건너뛰기




Volumn 79, Issue 6, 2009, Pages

Stochastic calculus for uncoupled continuous-time random walks

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC EXPRESSIONS; ANOMALOUS DIFFUSION; CONTINUOUS-TIME RANDOM WALK; DIFFUSION EQUATIONS; FAT TAILS; FRACTIONAL FOKKER-PLANCK EQUATION; MONTE CARLO; MONTE CARLO SIMULATION; NUMERICAL CALCULATION; PROBABILITY DENSITIES; QUADRATIC VARIATIONS; SCALE PARAMETER; STABLE DISTRIBUTIONS; STOCHASTIC CALCULUS; STOCHASTIC INTEGRAL; STOCHASTIC PROCESS; STRATONOVICH INTEGRAL; TIME FRACTIONAL DIFFUSION EQUATION; WAITING TIME; WIENER PROCESS;

EID: 67650925296     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.066102     Document Type: Article
Times cited : (88)

References (81)
  • 2
    • 35949027117 scopus 로고
    • 10.1103/PhysRevB.7.4491
    • H. Scher and M. Lax, Phys. Rev. B 7, 4491 (1973). 10.1103/PhysRevB.7.4491
    • (1973) Phys. Rev. B , vol.7 , pp. 4491
    • Scher, H.1    Lax, M.2
  • 3
    • 33646086881 scopus 로고
    • 10.1103/PhysRevB.7.4502
    • H. Scher and M. Lax, Phys. Rev. B 7, 4502 (1973). 10.1103/PhysRevB.7.4502
    • (1973) Phys. Rev. B , vol.7 , pp. 4502
    • Scher, H.1    Lax, M.2
  • 5
    • 0141508296 scopus 로고
    • 10.1103/PhysRevB.12.2455
    • H. Scher and E. Montroll, Phys. Rev. B 12, 2455 (1975). 10.1103/PhysRevB.12.2455
    • (1975) Phys. Rev. B , vol.12 , pp. 2455
    • Scher, H.1    Montroll, E.2
  • 6
    • 0002493436 scopus 로고    scopus 로고
    • edited by G. L. Trigg (VCH, New York
    • M. F. Shlesinger, in Encyclopedia of Applied Physics, edited by, G. L. Trigg, (VCH, New York, 1996), Vol. 16, pp. 45-70.
    • (1996) Encyclopedia of Applied Physics , vol.16 , pp. 45-70
    • Shlesinger, M.F.1
  • 8
    • 0002641421 scopus 로고    scopus 로고
    • 10.1016/S0370-1573(00)00070-3
    • R. Metzler and J. Klafter, Phys. Rep. 339, 1 (2000). 10.1016/S0370- 1573(00)00070-3
    • (2000) Phys. Rep. , vol.339 , pp. 1
    • Metzler, R.1    Klafter, J.2
  • 9
    • 4043151477 scopus 로고    scopus 로고
    • 10.1088/0305-4470/37/31/R01
    • R. Metzler and J. Klafter, J. Phys. A 37, R161 (2004). 10.1088/0305-4470/37/31/R01
    • (2004) J. Phys. A , vol.37 , pp. 161
    • Metzler, R.1    Klafter, J.2
  • 10
    • 32544456755 scopus 로고    scopus 로고
    • 10.1016/j.physa.2005.11.024
    • E. Scalas, Physica A 362, 225 (2006). 10.1016/j.physa.2005.11.024
    • (2006) Physica A , vol.362 , pp. 225
    • Scalas, E.1
  • 19
    • 27144512066 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.95.098105
    • O. Flomenbom and J. Klafter, Phys. Rev. Lett. 95, 098105 (2005). 10.1103/PhysRevLett.95.098105
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 098105
    • Flomenbom, O.1    Klafter, J.2
  • 20
    • 34948818257 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.76.041101
    • O. Flomenbom and R. J. Silbey, Phys. Rev. E 76, 041101 (2007). 10.1103/PhysRevE.76.041101
    • (2007) Phys. Rev. e , vol.76 , pp. 041101
    • Flomenbom, O.1    Silbey, R.J.2
  • 22
    • 0003975247 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, UK
    • J. Bertoin, Lévy Processes (Cambridge University Press, Cambridge, UK, 1996).
    • (1996) Lévy Processes
    • Bertoin, J.1
  • 24
  • 25
    • 0001327338 scopus 로고
    • 10.1007/BF01026731
    • J. K. E. Tunaley, J. Stat. Phys. 11, 397 (1974). 10.1007/BF01026731
    • (1974) J. Stat. Phys. , vol.11 , pp. 397
    • Tunaley, J.K.E.1
  • 26
  • 27
    • 0007183318 scopus 로고
    • 10.1007/BF01040704
    • J. K. E. Tunaley, J. Stat. Phys. 14, 461 (1976). 10.1007/BF01040704
    • (1976) J. Stat. Phys. , vol.14 , pp. 461
    • Tunaley, J.K.E.1
  • 30
    • 0000993220 scopus 로고
    • 10.1016/0378-4371(85)90028-7
    • V. Balakrishnan, Physica A 132, 569 (1985). 10.1016/0378-4371(85)90028-7
    • (1985) Physica A , vol.132 , pp. 569
    • Balakrishnan, V.1
  • 31
    • 0000437484 scopus 로고
    • 10.1103/PhysRevE.51.R848
    • R. Hilfer and L. Anton, Phys. Rev. E 51, R848 (1995). 10.1103/PhysRevE.51.R848
    • (1995) Phys. Rev. e , vol.51 , pp. 848
    • Hilfer, R.1    Anton, L.2
  • 34
    • 33751198975 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.74.051112
    • P. Demontis and G. B. Suffritti, Phys. Rev. E 74, 051112 (2006). 10.1103/PhysRevE.74.051112
    • (2006) Phys. Rev. e , vol.74 , pp. 051112
    • Demontis, P.1    Suffritti, G.B.2
  • 40
    • 0348195697 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.68.046117
    • R. Zygadło, Phys. Rev. E 68, 046117 (2003). 10.1103/PhysRevE.68. 046117
    • (2003) Phys. Rev. e , vol.68 , pp. 046117
    • Zygadło, R.1
  • 42
    • 34248474317 scopus 로고
    • 10.1016/0304-405X(76)90022-2
    • R. C. Merton, J. Financ. Econ. 3, 125 (1976). 10.1016/0304-405X(76)90022- 2
    • (1976) J. Financ. Econ. , vol.3 , pp. 125
    • Merton, R.C.1
  • 44
    • 67650852190 scopus 로고    scopus 로고
    • I. Polubny and M. Kacenak, MLF.M: Mittag-Leffler function-Calculates the Mittag-Leffler function with desired accuracy, MATLAB Central File Exchange, File ID No. 8738, 2005 (www.mathworks.com/matlabcentral/fileexchange).
    • (2005)
    • Polubny, I.1    Kacenak, M.2
  • 56
    • 47649112182 scopus 로고    scopus 로고
    • 10.1016/j.physa.2008.04.035
    • A. Mura, M. S. Taqqu, and F. Mainardi, Physica A 387, 5033 (2008). 10.1016/j.physa.2008.04.035
    • (2008) Physica A , vol.387 , pp. 5033
    • Mura, A.1    Taqqu, M.S.2    Mainardi, F.3
  • 65
    • 0030402223 scopus 로고    scopus 로고
    • edited by J. M. Charnes, D. J. Morrice, D. T. Brunner, and J. J. Swain (IEEE, New York
    • L. Devroye, in Proceedings of the 1996 Winter Simulation Conference, edited by, J. M. Charnes, D. J. Morrice, D. T. Brunner, and, J. J. Swain, (IEEE, New York, 1996), pp. 265-272.
    • (1996) Proceedings of the 1996 Winter Simulation Conference , pp. 265-272
    • Devroye, L.1
  • 67
    • 67650804154 scopus 로고    scopus 로고
    • J. H. McCulloch, STABRND.M: Stable random number generator, MATLAB script, 1996 (www.econ.ohio-state.edu/jhm/jhm.html).
    • (1996)
    • McCulloch, J.H.1
  • 70
    • 67650785084 scopus 로고    scopus 로고
    • G. Germano, D. Fulger, and E. Scalas, MLRND.M: Mittag-Leffler pseudorandom number generator, MATLAB Central File Exchange, File ID No. 19392, 2008.
    • (2008)
    • Germano, G.1    Fulger, D.2    Scalas, E.3
  • 71
    • 67650852187 scopus 로고    scopus 로고
    • G. Germano, D. Fulger, M. Politi, and E. Scalas, CTRW.M: Continuous-time random walk with Mittag-Leffler distributed waiting times and Levy alpha-stable distributed jumps, forthcoming on the MATLAB Central File Exchange.
    • Germano, G.1    Fulger, D.2    Politi, M.3    Scalas, E.4
  • 72
    • 67650797972 scopus 로고    scopus 로고
    • G. Germano, M. Politi, and E. Scalas, FDESOLVER.M: Solution of the space-time-fractional diffusion equation, forthcoming on the MATLAB Central File Exchange.
    • Germano, G.1    Politi, M.2    Scalas, E.3
  • 78
    • 6244236054 scopus 로고
    • 10.1007/BF01011160
    • R. F. Fox, J. Stat. Phys. 46, 1145 (1987). 10.1007/BF01011160
    • (1987) J. Stat. Phys. , vol.46 , pp. 1145
    • Fox, R.F.1
  • 80
    • 33747344265 scopus 로고    scopus 로고
    • 10.1016/j.physa.2006.04.034
    • M. M. Meerschaert and E. Scalas, Physica A 370, 114 (2006). 10.1016/j.physa.2006.04.034
    • (2006) Physica A , vol.370 , pp. 114
    • Meerschaert, M.M.1    Scalas, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.