메뉴 건너뛰기




Volumn 197, Issue 2, 2001, Pages 257-273

Stable laws arising from hitting distribution of processes on homogeneous trees and the hyperbolic half-plane

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0039923068     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2001.197.257     Document Type: Article
Times cited : (15)

References (19)
  • 2
    • 0001771212 scopus 로고    scopus 로고
    • An explanation of a generalized Bougerol's identity in terms of hyperbolic Brownian motion
    • Exponential Functionals and Principal Values Related to Brownian Motion (M. Yor, ed.), Madrid, MR 2000a:60150
    • L. Alili and J.-C. Gruet, An explanation of a generalized Bougerol's identity in terms of hyperbolic Brownian motion, Exponential Functionals and Principal Values Related to Brownian Motion (M. Yor, ed.), Bibl. Rev. Mat. Iberoamericana, Rev. Mat. Iberoam., Madrid, (1997), 15-33; MR 2000a:60150.
    • (1997) Bibl. Rev. Mat. Iberoamericana, Rev. Mat. Iberoam. , pp. 15-33
    • Alili, L.1    Gruet, J.-C.2
  • 3
    • 0039986374 scopus 로고    scopus 로고
    • Harmonic analysis and number theory
    • Papers in honour of Carl S. Herz (Montreal, 1996), Amer. Math. Soc., Providence, MR 98d:00028
    • S.W. Drury and M.R. Murty (eds.), Harmonic Analysis and Number Theory, Papers in honour of Carl S. Herz (Montreal, 1996), CMS Conf. Proc., 21, Amer. Math. Soc., Providence, 1997; MR 98d:00028.
    • (1997) CMS Conf. Proc. , vol.21
    • Drury, S.W.1    Murty, M.R.2
  • 4
    • 84864849879 scopus 로고
    • The distribution of a perpetuity, with applications to risk theory and pension funding
    • MR 92i:62195
    • D. Dufresne, The distribution of a perpetuity, with applications to risk theory and pension funding, Scand. Actuar. J., (1990), 39-79; MR 92i:62195.
    • (1990) Scand. Actuar. J. , pp. 39-79
    • Dufresne, D.1
  • 5
    • 0040493080 scopus 로고
    • Local field Gaussian measures
    • Seminar on Stochastic Processes (Gainesville, 1988) (E. Çinlar et al., eds.), Birkhäuser, Boston, MR 91e:60121
    • S.N. Evans, Local field Gaussian measures, Seminar on Stochastic Processes (Gainesville, 1988) (E. Çinlar et al., eds.), Progr. Probab., 17, Birkhäuser, Boston, (1989), 121-160; MR 91e:60121.
    • (1989) Progr. Probab. , vol.17 , pp. 121-160
    • Evans, S.N.1
  • 7
    • 0010002818 scopus 로고
    • Diffusion on compact ultrametric spaces
    • Noncompact Lie Groups and Some of Their Applications (San Antonio, 1993) (E.A. Tanner, R. Wilson, eds.), Kluwer, Dordrecht, MR 95m:60012
    • _, Diffusion on compact ultrametric spaces, Noncompact Lie Groups and Some of Their Applications (San Antonio, 1993) (E.A. Tanner, R. Wilson, eds.), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 429, Kluwer, Dordrecht, (1994), 157-167; MR 95m:60012.
    • (1994) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. , vol.429 , pp. 157-167
  • 8
    • 0041173512 scopus 로고    scopus 로고
    • Local fields and trees
    • Harmonic Functions on Trees and Buildings, (New York, 1995) (A. Korányi, ed.), Amer. Math. Soc., Providence, MR 98h:22005
    • _, Local fields and trees, Harmonic Functions on Trees and Buildings, (New York, 1995) (A. Korányi, ed.), Contemp. Math., 206, Amer. Math. Soc., Providence, (1997), 3-16; MR 98h:22005.
    • (1997) Contemp. Math. , vol.206 , pp. 3-16
  • 11
    • 0040579342 scopus 로고
    • Les lois de cauchy sur les bouts de l'arbre homogène
    • MR 90a:60012
    • C. Hassenforder, Les lois de Cauchy sur les bouts de l'arbre homogène, Probab. Theory Related Fields, 78 (1988), 603-616; MR 90a:60012.
    • (1988) Probab. Theory Related Fields , vol.78 , pp. 603-616
    • Hassenforder, C.1
  • 12
    • 0039394228 scopus 로고
    • 2(K), where K is a local field; analog of the Feynman-Kac formula
    • MR 92m:47049
    • 2(K), where K is a local field; analog of the Feynman-Kac formula, Theoret. and Math. Phys., 89 (1991), 1024-1028; MR 92m:47049.
    • (1991) Theoret. and Math. Phys. , vol.89 , pp. 1024-1028
    • Ismagilov, R.S.1
  • 13
    • 0039986366 scopus 로고    scopus 로고
    • Limit theorems for sums of p-adic random variables
    • MR 99m:60016
    • A.N. Kochubei, Limit theorems for sums of p-adic random variables, Exposition. Math., 16 (1998), 425-439; MR 99m:60016.
    • (1998) Exposition. Math. , vol.16 , pp. 425-439
    • Kochubei, A.N.1
  • 15
    • 0039986371 scopus 로고
    • Stable non-Gaussian random processes: Stochastic models with infinite variance
    • Chapman & Hall, New York, MR 95f:60024
    • G. Samorodnitsky and M.S. Taqqu, Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance, Stochastic Model., Chapman & Hall, New York, 1994; MR 95f:60024.
    • (1994) Stochastic Model
    • Samorodnitsky, G.1    Taqqu, M.S.2
  • 16
    • 0003287619 scopus 로고
    • Fourier analysis on local fields
    • Princeton Univ. Press, Princeton, MR 58 #6943
    • M.H. Taibleson, Fourier Analysis on Local Fields, Math. Notes, 15, Princeton Univ. Press, Princeton, 1975; MR 58 #6943.
    • (1975) Math. Notes , vol.15
    • Taibleson, M.H.1
  • 17
    • 0001832082 scopus 로고    scopus 로고
    • Path integrals for a class of p-adic Schrödinger equations
    • MR 98m:81083
    • V.S. Varadarajan, Path integrals for a class of p-adic Schrödinger equations, Lett. Math. Phys., 39 (1997), 97-106; MR 98m:81083.
    • (1997) Lett. Math. Phys. , vol.39 , pp. 97-106
    • Varadarajan, V.S.1
  • 18
    • 0007147123 scopus 로고
    • Basic number theory
    • Springer, Berlin, MR 96c:11002
    • A. Weil, Basic Number Theory, Classics in Math., Springer, Berlin, 1995; MR 96c:11002.
    • (1995) Classics in Math.
    • Weil, A.1
  • 19
    • 0000300111 scopus 로고
    • Sur certaines fonctionnelles exponentielles du mouvement brownien réel
    • MR 93g:60179
    • M. Yor, Sur certaines fonctionnelles exponentielles du mouvement brownien réel, J. Appl. Probab., 29 (1992), 202-208; MR 93g:60179.
    • (1992) J. Appl. Probab. , vol.29 , pp. 202-208
    • Yor, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.