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Volumn 42, Issue 2, 2010, Pages 568-608

Wright-fisher diffusion in one dimension

Author keywords

Degenerate diffusion; Heat kernel; Wright fisher model

Indexed keywords

ADJOINTS; ASYMPTOTICS; DEGENERATE DIFFUSIONS; DIFFUSION PROCESS; END POINTS; HEAT EQUATION; HEAT KERNEL; INFINITESIMAL GENERATOR; ONE DIMENSION; SEMIGROUPS; SPATIAL DIMENSION; VECTOR FIELDS; WRIGHT-FISHER MODELS; ZERO FLUX;

EID: 77952073544     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/090766152     Document Type: Article
Times cited : (65)

References (14)
  • 2
    • 77952056370 scopus 로고    scopus 로고
    • The fundamental solution to the Wright-Fisher equation
    • L. Chen and D. W. Stroock, The fundamental solution to the Wright-Fisher equation, SIAM J. Math. Anal., 42 (2010), pp. 539-567.
    • (2010) SIAM J. Math. Anal. , vol.42 , pp. 539-567
    • Chen, L.1    Stroock, D.W.2
  • 4
    • 67349126776 scopus 로고    scopus 로고
    • Linear operators and their spectra
    • Cambridge University Press, Cambridge, UK
    • E. B. Davies, Linear Operators and Their Spectra, Cambridge Stud. Adv. Math. 106, Cambridge University Press, Cambridge, UK, 2007.
    • (2007) Cambridge Stud. Adv. Math. , pp. 106
    • Davies, E.B.1
  • 5
    • 72449161816 scopus 로고    scopus 로고
    • Mathematical population genetics
    • I, 2nd ed., Springer-Verlag, Berlin
    • W. Ewens, Mathematical Population Genetics, I, 2nd ed., Interdiscip. Appl. Math. 27, Springer-Verlag, Berlin, 2004.
    • (2004) Interdiscip. Appl. Math. , pp. 27
    • Ewens, W.1
  • 6
    • 0001254093 scopus 로고
    • The parabolic differential equations and the associated semi-groups of transformations
    • W. Feller, The parabolic differential equations and the associated semi-groups of transformations, Ann. of Math. (2), 55 (1952), pp. 468-519.
    • (1952) Ann. of Math. , vol.55 , Issue.2 , pp. 468-519
    • Feller, W.1
  • 8
    • 0003230949 scopus 로고
    • Functional analysis and semi-groups, revised edition
    • American Mathematical Society, Providence, RI
    • E. Hille and R. Phillips, Functional Analysis and Semi-groups, Revised Edition, Amer. Math. Soc. Colloq. Publ. 31, American Mathematical Society, Providence, RI, 1957.
    • (1957) Amer. Math. Soc. Colloq. Publ. , vol.31
    • Hille, E.1    Phillips, R.2
  • 9
    • 0003364279 scopus 로고
    • Partial differential equations
    • 3rd ed., Springer Verlag, Berlin
    • F. John, Partial Differential Equations, 3rd ed., Appl. Math. Sci. 1, Springer Verlag, Berlin, 1978.
    • (1978) Appl. Math. Sci. , vol.1
    • John, F.1
  • 10
    • 15544389128 scopus 로고
    • Asymptotic analysis of diffusion equations in population genetics
    • J. B. Keller and C. Tier, Asymptotic analysis of diffusion equations in population genetics, SIAM J. Appl. Math., 34 (1978), pp. 549-576.
    • (1978) SIAM J. Appl. Math. , vol.34 , pp. 549-576
    • Keller, J.B.1    Tier, C.2
  • 11
    • 0001017871 scopus 로고
    • Solution of a process of random genetic drift with a continuous model
    • M. Kimura, Solution of a process of random genetic drift with a continuous model, Proc. Natl. Acad. Sci. USA, 41 (1955), pp. 144-150
    • (1955) Proc. Natl. Acad. Sci. USA , vol.41 , pp. 144-150
    • Kimura, M.1
  • 12
    • 0141995399 scopus 로고    scopus 로고
    • Functional analysis
    • John Wiley and Sons, New York
    • P. D. Lax, Functional Analysis, Pure Appl. Math. N.Y., John Wiley and Sons, New York, 2002.
    • (2002) Pure Appl. Math. N.Y.
    • Lax, P.D.1
  • 13
    • 0000769597 scopus 로고
    • Analytic vectors
    • E. Nelson, Analytic vectors, Ann. of Math. (2), 70 (1959), pp. 572-614.
    • (1959) Ann. of Math. , vol.70 , Issue.2 , pp. 572-614
    • Nelson, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.