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Volumn 58, Issue 2, 1998, Pages 1383-1403

Non-Hermitian localization and population biology

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EID: 0001741961     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.1383     Document Type: Article
Times cited : (272)

References (58)
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    • A recent exception is the numerical study of the effect of quenched randomness on Turing patterns in reaction-diffusion systems by I. Bose and I. Chaudhuri, e-print cond-mat/9702230
    • Bose, I.1    Chaudhuri, I.2
  • 14
    • 85035215696 scopus 로고
    • It should be noted that we study here growth of continuous populations, while the actual process is certainly discrete — the spreading of a gene, as well as the change of the population, comes, of course, in quanta of one or more individuals, and are not continuous variables. Throughout this paper, we neglect this effect and study only the continuum process
    • It should be noted that we study here growth of continuous populations, while the actual process is certainly discrete — the spreading of a gene, as well as the change of the population, comes, of course, in quanta of one or more individuals, and are not continuous variables. Throughout this paper, we neglect this effect and study only the continuum process. Discreteness can be modeled by inclusion of a multiplicative Langevin noise term, see, e.g., V. Privman, Trends Stat. Phys. 1(1994)
    • (1994) Trends Stat. Phys. , vol.1
    • Privman, V.1
  • 15
    • 85035240687 scopus 로고    scopus 로고
    • J. Cardy, e-print cond-mat/9607163
    • Cardy, J.1
  • 16
    • 85035211230 scopus 로고    scopus 로고
    • J. Cardy and Uwe C. Täuber, e-print cond-mat/9609151.
    • Cardy, J.1
  • 18
    • 0004232671 scopus 로고
    • Princeton University Press, Princeton, NJ
    • H. Berg, Random Walks in Biology (Princeton University Press, Princeton, NJ, 1993).
    • (1993) Random Walks in Biology
    • Berg, H.1
  • 24
    • 4243780943 scopus 로고
    • for a related treatment of convection of a passive scalar, see B. Shraiman and E. D. Siggia, Phys. Rev. E 49, 2912 (1994).
    • (1994) Phys. Rev. E , vol.49 , pp. 2912
    • Shraiman, B.1    Siggia, E.D.2
  • 40
    • 0000138125 scopus 로고
    • A similar transformation has been used for Fokker-Planck equations by, e.g., P. G. de Gennes, J. Stat. Phys. 12, 463 (1975); JSTPBS
    • (1975) J. Stat. Phys. , vol.12 , pp. 463
    • de Gennes, P.G.1
  • 41
    • 0004140926 scopus 로고
    • Springer, Berlin, Chap. 5. For the application to localized states, see P. Le Doussal (unpublished) and Appendix A of Ref. 22
    • H. Risken, The Fokker-Planck Equation (Springer, Berlin, 1984), Chap. 5. For the application to localized states, see P. Le Doussal (unpublished) and Appendix A of Ref. 22.
    • (1984) The Fokker-Planck Equation
    • Risken, H.1
  • 58
    • 0000793984 scopus 로고
    • For a numerical evaluation of the density of states in the one-dimensional lattice model, see T. Saso, Prog. Theor. Phys. Suppl. 84, 269 (1985). PTPSAL
    • (1985) Prog. Theor. Phys. Suppl. , vol.84 , pp. 269
    • Saso, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.