메뉴 건너뛰기




Volumn 34, Issue 3, 2006, Pages 918-961

Subtree prune and regraft: A reversible real tree-valued Markov process

Author keywords

Brownian excursion; Continuum random tree; Dirichlet form; Excursion theory; Gromov Hausdorff metric; Markov chain Monte Carlo; Path decomposition; Phylogenetic tree; Prohorov metric; Simulated annealing

Indexed keywords


EID: 33746227582     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117906000000034     Document Type: Article
Times cited : (66)

References (36)
  • 1
    • 10644245695 scopus 로고    scopus 로고
    • Poisson snake and fragmentation
    • (electronic). MR1943890
    • ABRAHAM, R. and SERLET, L. (2002). Poisson snake and fragmentation. Electron. J. Probab.7 15-17 (electronic). MR1943890
    • (2002) Electron. J. Probab. , vol.7 , pp. 15-17
    • Abraham, R.1    Serlet, L.2
  • 2
    • 0001981461 scopus 로고
    • The continuum random tree. I
    • MR1085326
    • ALDOUS, D. (1991). The continuum random tree. I. Ann. Probab. 19 1-28. MR1085326
    • (1991) Ann. Probab. , vol.19 , pp. 1-28
    • Aldous, D.1
  • 3
    • 0001812090 scopus 로고
    • The continuum random tree. II. An overview
    • (M. T. Barlow and N. H. Bingham, eds.) Cambridge Univ. Press. MR1166406
    • ALDOUS, D. (1991). The continuum random tree. II. An overview. In Stochastic Analysis(M. T. Barlow and N. H. Bingham, eds.) 23-70. Cambridge Univ. Press. MR1166406
    • (1991) Stochastic Analysis , pp. 23-70
    • Aldous, D.1
  • 4
    • 0003296611 scopus 로고
    • The continuum random tree III
    • MR1207226
    • ALDOUS, D. (1993). The continuum random tree III. Ann. Probab. 21 248-289. MR1207226
    • (1993) Ann. Probab. , vol.21 , pp. 248-289
    • Aldous, D.1
  • 5
    • 0034397615 scopus 로고    scopus 로고
    • Mixing time for a Markov chain on cladograms
    • MR1774749
    • ALDOUS, D. J. (2000). Mixing time for a Markov chain on cladograms. Combin. Probab. Comput. 9 191-204. MR1774749
    • (2000) Combin. Probab. Comput. , vol.9 , pp. 191-204
    • Aldous, D.J.1
  • 6
    • 0347512294 scopus 로고    scopus 로고
    • Subtree transfer operations and their induced metrics on evolutionary trees
    • MR1841949
    • ALLEN, B. L. and STEEL, M. (2001). Subtree transfer operations and their induced metrics on evolutionary trees. Ann. Comb. 5 1-15. MR1841949
    • (2001) Ann. Comb. , vol.5 , pp. 1-15
    • Allen, B.L.1    Steel, M.2
  • 8
    • 0003975247 scopus 로고    scopus 로고
    • Cambridge Univ. Press. MR1406564
    • BERTOIN, J. (1996). Levy Processes. Cambridge Univ. Press. MR1406564
    • (1996) Levy Processes
    • Bertoin, J.1
  • 9
    • 0035520029 scopus 로고    scopus 로고
    • Geometry of the space of phylogenetic trees
    • MR1867931
    • BILLERA, L. J., HOLMES, S. P. and VOGTMANN, K. (2001). Geometry of the space of phylogenetic trees. Adv. in Appl. Math. 27 733-767. MR1867931
    • (2001) Adv. in Appl. Math. , vol.27 , pp. 733-767
    • Billera, L.J.1    Holmes, S.P.2    Vogtmann, K.3
  • 12
    • 2442623168 scopus 로고    scopus 로고
    • World Scientific Publishing, River Edge, NJ. MR 1851337
    • CHISWELL, I. (2001). Introduction to Λ-trees. World Scientific Publishing, River Edge, NJ. MR 1851337
    • (2001) Introduction to Λ-Trees
    • Chiswell, I.1
  • 14
    • 0347556742 scopus 로고    scopus 로고
    • Random walks on trees and matchings
    • (electronic). MR1887626
    • DIACONIS, P. and HOLMES, S. P. (2002). Random walks on trees and matchings. Electron. J. Probab. 7 6-17 (electronic). MR1887626
    • (2002) Electron. J. Probab. , vol.7 , pp. 6-17
    • Diaconis, P.1    Holmes, S.P.2
  • 15
    • 0001481555 scopus 로고
    • Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorical properties of metric spaces
    • MR0753872
    • DRESS, A. W. M. (1984). Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorical properties of metric spaces. Adv. in Math. 53 321-402. MR0753872
    • (1984) Adv. in Math. , vol.53 , pp. 321-402
    • Dress, A.W.M.1
  • 17
    • 0030601034 scopus 로고    scopus 로고
    • The real tree
    • MR 1397084
    • DRESS, A. W. M. and TERHALLE, W. F. (1996). The real tree. Adv. in Math. 120 283-301. MR 1397084
    • (1996) Adv. in Math. , vol.120 , pp. 283-301
    • Dress, A.W.M.1    Terhalle, W.F.2
  • 20
    • 28144433682 scopus 로고    scopus 로고
    • Rayleigh processes, real trees, and root growth with re-grafting
    • To appear
    • EVANS, S. N., PITMAN, J. and WINTER, A. (2006). Rayleigh processes, real trees, and root growth with re-grafting. Probab. Theory Related Fields. To appear.
    • (2006) Probab. Theory Related Fields
    • Evans, S.N.1    Pitman, J.2    Winter, A.3
  • 24
    • 0003798201 scopus 로고
    • Springer, New York. MR0370454
    • KELLEY, J. L. (1975). General Topology. Springer, New York. MR0370454
    • (1975) General Topology
    • Kelley, J.L.1
  • 29
    • 0036104173 scopus 로고    scopus 로고
    • 2) bound for the relaxation time of a Markov chain on cladograms
    • MR1871950
    • 2) bound for the relaxation time of a Markov chain on cladograms. Random Structures Algorithms 20 59-70. MR1871950
    • (2002) Random Structures Algorithms , vol.20 , pp. 59-70
    • Schweinsberg, J.1
  • 31
    • 12944315493 scopus 로고    scopus 로고
    • On the geometry of metric measure spaces
    • SFB 611, Univ. Bonn.
    • STURM, K.-T. (2004). On the geometry of metric measure spaces. Technical Report 203, SFB 611, Univ. Bonn.
    • (2004) Technical Report , vol.203
    • Sturm, K.-T.1
  • 32
    • 0001140522 scopus 로고
    • Phylogeny reconstruction
    • (D. M. Hillis and G. Moritz, eds.). Sinauer Associates, Sunderland, MA
    • SWOFFORD, D. L. and OLSEN, G. J. (1990). Phylogeny reconstruction. In Molecular Systematics (D. M. Hillis and G. Moritz, eds.) 411-501. Sinauer Associates, Sunderland, MA.
    • (1990) Molecular Systematics , pp. 411-501
    • Swofford, D.L.1    Olsen, G.J.2
  • 33
    • 21944456956 scopus 로고    scopus 로고
    • R-trees and symmetric differences of sets
    • MR1478827
    • TERHALLE, W. F. (1997). R-trees and symmetric differences of sets. European J. Combin. 18 825-833. MR1478827
    • (1997) European J. Combin. , vol.18 , pp. 825-833
    • Terhalle, W.F.1
  • 34
    • 0000955828 scopus 로고    scopus 로고
    • A reflected stochastic heat equation as symmetric dynamics with respect to the 3-d Bessel bridge
    • MR1814427
    • ZAMBOTTI, L. (2001). A reflected stochastic heat equation as symmetric dynamics with respect to the 3-d Bessel bridge. J. Funct. Anal. 180 195-209. MR1814427
    • (2001) J. Funct. Anal. , vol.180 , pp. 195-209
    • Zambotti, L.1
  • 35
    • 0038730437 scopus 로고    scopus 로고
    • Integration by parts on Bessel bridges and related stochastic partial differential equations
    • MR1891060
    • ZAMBOTTI, L. (2002). Integration by parts on Bessel bridges and related stochastic partial differential equations. C. R. Math. Acad. Sci. Paris 334 209-212. MR1891060
    • (2002) C. R. Math. Acad. Sci. Paris , vol.334 , pp. 209-212
    • Zambotti, L.1
  • 36
    • 0037248421 scopus 로고    scopus 로고
    • Integration by parts on a-Bessel bridges, δ > 3 and related SPDEs
    • MR1959795
    • ZAMBOTTI, L. (2003). Integration by parts on a-Bessel bridges, δ > 3 and related SPDEs. Ann. Probab. 31 323-348. MR1959795
    • (2003) Ann. Probab. , vol.31 , pp. 323-348
    • Zambotti, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.