메뉴 건너뛰기




Volumn 7, Issue 3, 2007, Pages 555-565

On a semigroup generated by a convex combination of two Feller generators

Author keywords

Approximation formulae; Contraction semigroup; Convex combination; Degenerate convergence; Feller process; Feynman Kac formula; Gene expression; Generator; Time changed process; Totter Kato theorem; Volkonskii's formula; Weak convergence of processes

Indexed keywords


EID: 34547830210     PISSN: 14243199     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00028-007-0315-x     Document Type: Article
Times cited : (14)

References (24)
  • 2
    • 51249167127 scopus 로고
    • Degenerate Convergence of Semigroups
    • BOBROWSKI, A., Degenerate Convergence of Semigroups, Semigroup Forum, 49 (1994), 303-327.
    • (1994) Semigroup Forum , vol.49 , pp. 303-327
    • BOBROWSKI, A.1
  • 3
    • 34547839871 scopus 로고    scopus 로고
    • BOBROWSKI, A., A Note on Convergence of Semigroups, Ann. Polon. Math. LXIX.2 (1998), 107-127.
    • BOBROWSKI, A., A Note on Convergence of Semigroups, Ann. Polon. Math. LXIX.2 (1998), 107-127.
  • 5
    • 33947112008 scopus 로고    scopus 로고
    • Degenerate convergence of semigroups related to a model of stochastic gene expression
    • BOBROWSKI, A., Degenerate convergence of semigroups related to a model of stochastic gene expression, Semigroup Forum, 73 (2006), 345-366.
    • (2006) Semigroup Forum , vol.73 , pp. 345-366
    • BOBROWSKI, A.1
  • 6
    • 35548943585 scopus 로고    scopus 로고
    • On limitations and insufficiency of the Trotter-Kato theorem
    • to appear in
    • BOBROWSKI, A., On limitations and insufficiency of the Trotter-Kato theorem, to appear in Semigroup Forum.
    • Semigroup Forum
    • BOBROWSKI, A.1
  • 7
    • 34248594692 scopus 로고    scopus 로고
    • Asymptotic behavior of distributions of mRNA and protein levels in a model of stochastic gene expression
    • BOBROWSKI, A., LIPNIACKI, T., PICHÓR., K. and RUDNICKI, R., Asymptotic behavior of distributions of mRNA and protein levels in a model of stochastic gene expression, J. Math. Anal. Appl. 133 (2007), 753-769.
    • (2007) J. Math. Anal. Appl , vol.133 , pp. 753-769
    • BOBROWSKI, A.1    LIPNIACKI, T.2    PICHÓR, K.3    RUDNICKI, R.4
  • 8
    • 0010958758 scopus 로고
    • Contraction semigroups in a function space
    • DORROH, B., Contraction semigroups in a function space, Pacific J. Math. 19 (1966), 35-38.
    • (1966) Pacific J. Math , vol.19 , pp. 35-38
    • DORROH, B.1
  • 16
    • 0040354346 scopus 로고
    • Extensions of Trotter's operator semigroup approximation theorems
    • KURTZ, T. G., Extensions of Trotter's operator semigroup approximation theorems, J. Funct. Anal. 3 (1969), 354-375.
    • (1969) J. Funct. Anal , vol.3 , pp. 354-375
    • KURTZ, T.G.1
  • 17
    • 29244462834 scopus 로고    scopus 로고
    • LIPNIACKI, T., PASZEK, P., MARCINIAK - CZOCHRA, A., BRASIER, A. R. and KIMMEL, M., Transcriptional stochasticity in gene expression, J Theor. Biol. 238 (2006), 348-367.
    • LIPNIACKI, T., PASZEK, P., MARCINIAK - CZOCHRA, A., BRASIER, A. R. and KIMMEL, M., Transcriptional stochasticity in gene expression, J Theor. Biol. 238 (2006), 348-367.
  • 22
    • 19744369999 scopus 로고    scopus 로고
    • Diffusions, Markov Processes and Martingales
    • Cambridge University Press
    • ROGERS, L. C. G. and WILLIAMS, D., Diffusions, Markov Processes and Martingales, Vol. 1, Foundations, Cambridge University Press 2000.
    • (2000) Foundations , vol.1
    • ROGERS, L.C.G.1    WILLIAMS, D.2
  • 23
    • 33947172860 scopus 로고
    • Convergence d'opérations lineaires non bornées
    • SOVA, M., Convergence d'opérations lineaires non bornées, Rev. Roum. Math. Pures et App. 12 (1967), 373-389.
    • (1967) Rev. Roum. Math. Pures et App , vol.12 , pp. 373-389
    • SOVA, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.