메뉴 건너뛰기




Volumn 11, Issue 2, 2001, Pages 544-567

On occupation time functionals for diffusion processes and birth-and-death processes on graphs

Author keywords

Boundary value problems; Diffusion process on a graph; Occupation time functionals; Titchmarsh weyl coefficient

Indexed keywords


EID: 0035538462     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1015345303     Document Type: Article
Times cited : (4)

References (29)
  • 2
    • 0002674436 scopus 로고
    • The equivalence of diffusions on networks to Brownian motion
    • BAXTER, J. R. and CHACON, R. V. (1984). The equivalence of diffusions on networks to Brownian motion. Contemp. Math. 26 33-48.
    • (1984) Contemp. Math. , vol.26 , pp. 33-48
    • Baxter, J.R.1    Chacon, R.V.2
  • 4
    • 0001254093 scopus 로고
    • The parabolic differential equations and the associated semi-groups of transformations
    • FELLER, W. (1952). The parabolic differential equations and the associated semi-groups of transformations. Ann Math. 55 468-519.
    • (1952) Ann Math. , vol.55 , pp. 468-519
    • Feller, W.1
  • 5
    • 84966207705 scopus 로고
    • Diffusion processes in one dimension
    • FELLER, W. (1954). Diffusion processes in one dimension. Trans. Amer. Math. Soc. 97 1-31.
    • (1954) Trans. Amer. Math. Soc. , vol.97 , pp. 1-31
    • Feller, W.1
  • 6
    • 0021386381 scopus 로고
    • Random motion on binary trees
    • FRANK, D. H. and DURHAM, S. (1984). Random motion on binary trees. J. Appl. Probab. 21 58-69.
    • (1984) J. Appl. Probab. , vol.21 , pp. 58-69
    • Frank, D.H.1    Durham, S.2
  • 7
    • 0032362579 scopus 로고    scopus 로고
    • Random perturbations of nonlinear oscillators
    • FREIDLIN, M. and WEBER, M. (1998). Random perturbations of nonlinear oscillators. Ann. Probab. 26 925-967.
    • (1998) Ann. Probab. , vol.26 , pp. 925-967
    • Freidlin, M.1    Weber, M.2
  • 8
    • 0033249370 scopus 로고    scopus 로고
    • A remark on random perturbations of nonlinear pendulum
    • FREIDLIN, M. and WEBER, M. (1999). A remark on random perturbations of nonlinear pendulum. Ann. Appl. Probab. 9 611-628.
    • (1999) Ann. Appl. Probab. , vol.9 , pp. 611-628
    • Freidlin, M.1    Weber, M.2
  • 9
    • 0000828252 scopus 로고
    • Diffusion processes on graphs and the averaging principle
    • FREIDLIN, M. I. and WENTZELL, A. D. (1993). Diffusion processes on graphs and the averaging principle. Ann. Probab. 21 2215-2245.
    • (1993) Ann. Probab. , vol.21 , pp. 2215-2245
    • Freidlin, M.I.1    Wentzell, A.D.2
  • 13
    • 0007337666 scopus 로고
    • The spectral theory of the string
    • in Russian
    • KAC, I. S. (1994). The spectral theory of the string. Ukrain. Mat. Z. 46 155-176 (in Russian).
    • (1994) Ukrain. Mat. Z. , vol.46 , pp. 155-176
    • Kac, I.S.1
  • 16
    • 85009550491 scopus 로고
    • Spectral theory of strings and generalized diffusion processes
    • KASAHARA, Y. (1975). Spectral theory of strings and generalized diffusion processes. Japan J. Math. 1 67-84.
    • (1975) Japan J. Math. , vol.1 , pp. 67-84
    • Kasahara, Y.1
  • 17
    • 85008309144 scopus 로고
    • On the green function of 1-dimensional diffusion processes
    • KASAHARA, Y. KOTANI, S. and WATANABE, H. (1981). On the Green function of 1-dimensional diffusion processes. Publ. RIMS Kyoto Univ. 16 175-188.
    • (1981) Publ. RIMS Kyoto Univ. , vol.16 , pp. 175-188
    • Kasahara, Y.1    Kotani, S.2    Watanabe, H.3
  • 19
    • 0001332671 scopus 로고
    • Determination of the density of a non-homogeneous symmetric cord from its frequency spectrum
    • in Russian
    • KREIN, M. G. (1951). Determination of the density of a non-homogeneous symmetric cord from its frequency spectrum. Dokl. Akad. Nauk SSSR (N.S.) 76 345-348 (in Russian).
    • (1951) Dokl. Akad. Nauk SSSR (N.S.) , vol.76 , pp. 345-348
    • Krein, M.G.1
  • 20
    • 0001682920 scopus 로고
    • On the inverse problem for a non-homogeneous cord
    • in Russian
    • KREIN, M. G. (1951). On the inverse problem for a non-homogeneous cord. Dokl. Akad. Nauk SSSR (N.S.) 82 669-672 (in Russian).
    • (1951) Dokl. Akad. Nauk SSSR (N.S.) , vol.82 , pp. 669-672
    • Krein, M.G.1
  • 21
    • 85008271663 scopus 로고
    • Über verallgemeinerte gewöhnliche differentialoperatoren mit nichtlokalen randbedingungen und die von ihnen erzeugten markov-prozesse
    • LANGER, H., PARTZSCH, L. and SCHÜTZE, D. (1972). Über verallgemeinerte gewöhnliche Differentialoperatoren mit nichtlokalen Randbedingungen und die von ihnen erzeugten Markov-Prozesse. Publ. RIMS Kyoto Univ. 7 659-702.
    • (1972) Publ. RIMS Kyoto Univ. , vol.7 , pp. 659-702
    • Langer, H.1    Partzsch, L.2    Schütze, D.3
  • 22
    • 84985341020 scopus 로고
    • Generalized second-order differential operators, corresponding gap diffusions and superharmonic transformations
    • LANGER, H. and SCHENK, W. (1990). Generalized second-order differential operators, corresponding gap diffusions and superharmonic transformations. Math. Nachr. 148 7-45.
    • (1990) Math. Nachr. , vol.148 , pp. 7-45
    • Langer, H.1    Schenk, W.2
  • 23
    • 0000764793 scopus 로고
    • Connecting of local operators and evolution equations on networks
    • Springer, Berlin
    • LUMER, G. (1980). Connecting of local operators and evolution equations on networks. Lecture Notes in Math. 787 219-234. Springer, Berlin.
    • (1980) Lecture Notes in Math. , vol.787 , pp. 219-234
    • Lumer, G.1
  • 25
    • 0007336809 scopus 로고
    • Front propagation in diffusion problems on trees
    • C. Bundle, J. Bemelmans, M. Chipot, J. Saint Jean Paulin and I. Shafrir, eds.
    • VON BELOW, J. (1995). Front propagation in diffusion problems on trees. In Calculus of Variations, Applications and Computations (C. Bundle, J. Bemelmans, M. Chipot, J. Saint Jean Paulin and I. Shafrir, eds.) 254-265.
    • (1995) Calculus of Variations, Applications and Computations , pp. 254-265
    • Von Below, J.1
  • 27
    • 0007323476 scopus 로고    scopus 로고
    • On the reconstruction of a string from spectral data
    • WEBER, M. (1999). On the reconstruction of a string from spectral data. Math. Nachr. 197 135-156.
    • (1999) Math. Nachr. , vol.197 , pp. 135-156
    • Weber, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.