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Volumn 41, Issue 2, 2013, Pages 527-618

The genealogy of branching brownian motion with absorption

Author keywords

Bolthausen Sznitman coalescent; Branching brownian motion; Continuous state branching processes

Indexed keywords


EID: 84876368455     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/11-AOP728     Document Type: Article
Times cited : (90)

References (65)
  • 1
    • 79960136533 scopus 로고    scopus 로고
    • Survival of branching random walks with absorption
    • MR2819234
    • AÏDÉKON, E. and JAFFUEL, B. (2011). Survival of branching random walks with absorption. Stochastic Process. Appl. 121 1901-1937. MR2819234
    • (2011) Stochastic Process. Appl. , vol.121 , pp. 1901-1937
    • Aïdékon, E.1    Jaffuel, B.2
  • 2
    • 41849085854 scopus 로고    scopus 로고
    • Asymptotics of the allele frequency spectrum associated with the Bolthausen-Sznitman coalescent
    • MR2386740
    • BASDEVANT, A.-L. andGOLDSCHMIDT, C. (2008). Asymptotics of the allele frequency spectrum associated with the Bolthausen-Sznitman coalescent. Electron. J. Probab. 13 486- 512. MR2386740
    • (2008) Electron. J. Probab. , vol.13 , pp. 486-512
    • Basdevant, A.-L.1    Goldschmidt, C.2
  • 3
    • 77954624687 scopus 로고    scopus 로고
    • Brunet-Derrida behavior of branching-selection particle systems on the line
    • MR2669438
    • BÉRARD, J. and GOUÉRÉ, J.-B. (2010). Brunet-Derrida behavior of branching-selection particle systems on the line. Comm. Math. Phys. 298 323-342. MR2669438
    • (2010) Comm. Math. Phys. , vol.298 , pp. 323-342
    • Bérard, J.1    Gouéré, J.-B.2
  • 4
    • 79952837708 scopus 로고    scopus 로고
    • Survival probability of the branching random walk killed below a linear boundary
    • MR2774095
    • BÉRARD, J. and GOUÉRÉ, J.-B. (2011). Survival probability of the branching random walk killed below a linear boundary. Electron. J. Probab. 16 396-418. MR2774095
    • (2011) Electron. J. Probab. , vol.16 , pp. 396-418
    • Bérard, J.1    Gouéré, J.-B.2
  • 5
    • 79958247145 scopus 로고    scopus 로고
    • Survival of near-critical branching Brownian motion
    • MR2811463
    • BERESTYCKI, J., BERESTYCKI, N. and SCHWEINSBERG, J. (2011). Survival of near-critical branching Brownian motion. J. Stat. Phys. 143 833-854. MR2811463
    • (2011) J. Stat. Phys. , vol.143 , pp. 833-854
    • Berestycki, J.1    Berestycki, N.2    Schweinsberg, J.3
  • 6
    • 77955274562 scopus 로고    scopus 로고
    • Recent Progress in Coalescent Theory
    • [Mathematical Surveys] Sociedade Brasileira de Matemática, Rio de Janeiro. MR2574323
    • BERESTYCKI, N. (2009). Recent Progress in Coalescent Theory. Ensaios Matemáticos [Mathematical Surveys] 16. Sociedade Brasileira de Matemática, Rio de Janeiro. MR2574323
    • (2009) Ensaios Matemáticos , pp. 16
    • Berestycki, N.1
  • 7
    • 0034396569 scopus 로고    scopus 로고
    • The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes
    • MR1771663
    • BERTOIN, J. and LE GALL, J.-F. (2000). The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes. Probab. Theory Related Fields 117 249- 266. MR1771663
    • (2000) Probab. Theory Related Fields , vol.117
    • Bertoin, J.1    Le Gall, J.-F.2
  • 8
    • 0038648299 scopus 로고    scopus 로고
    • Stochastic flows associated to coalescent processes
    • MR1990057
    • BERTOIN, J. and LE GALL, J.-F. (2003). Stochastic flows associated to coalescent processes. Probab. Theory Related Fields. 126 261-288. MR1990057
    • (2003) Probab. Theory Related Fields. , vol.126 , pp. 261-288
    • Bertoin, J.1    Le Gall, J.-F.2
  • 9
    • 3042526534 scopus 로고    scopus 로고
    • Two coalescents derived from the ranges of stable subordinators
    • MR1768841,(electronic)
    • BERTOIN, J. and PITMAN, J. (2000). Two coalescents derived from the ranges of stable subordinators. Electron. J. Probab. 5 1-17 (electronic). MR1768841
    • (2000) Electron. J. Probab. , vol.5 , pp. 1-17
    • Bertoin, J.1    Pitman, J.2
  • 10
    • 0007633320 scopus 로고
    • The first- and last-birth problems for amultitype age-dependent branching process
    • MR0420890
    • BIGGINS, J. D. (1976). The first- and last-birth problems for amultitype age-dependent branching process. Adv. in Appl. Probab. 8 446-459. MR0420890
    • (1976) Adv. in Appl. Probab. , vol.8 , pp. 446-459
    • Biggins, J.D.1
  • 14
    • 0010117449 scopus 로고    scopus 로고
    • On Ruelle's probability cascades and an abstract cavity method
    • MR1652734
    • BOLTHAUSEN, E. and SZNITMAN, A. S. (1998). On Ruelle's probability cascades and an abstract cavity method. Comm. Math. Phys. 197 247-276. MR1652734
    • (1998) Comm. Math. Phys. , vol.197 , pp. 247-276
    • Bolthausen, E.1    Sznitman, A.S.2
  • 15
    • 33846208628 scopus 로고    scopus 로고
    • Much ado about Derrida's GREM
    • Springer, Berlin. MR2309599
    • BOVIER, A. and KURKOVA, I. (2007). Much ado about Derrida's GREM. In Spin Glasses. Lecture Notes in Math. 1900 81-115. Springer, Berlin. MR2309599
    • (2007) Spin Glasses. Lecture Notes in Math. , vol.1900 , pp. 81-115
    • Bovier, A.1    Kurkova, I.2
  • 16
    • 0003175686 scopus 로고
    • Convergence of solutions of the Kolmogorov equation to travelling waves
    • MR0705746
    • BRAMSON, M. (1983). Convergence of solutions of the Kolmogorov equation to travelling waves. Mem. Amer. Math. Soc. 44 iv-190. MR0705746
    • (1983) Mem. Amer. Math. Soc. , vol.44 , pp. 4-190
    • Bramson, M.1
  • 17
    • 84980189802 scopus 로고
    • Maximal displacement of branching Brownian motion
    • MR0494541
    • BRAMSON, M. D. (1978). Maximal displacement of branching Brownian motion. Comm. Pure Appl. Math. 31 531-581. MR0494541
    • (1978) Comm. Pure Appl. Math. , vol.31 , pp. 531-581
    • Bramson, M.D.1
  • 18
    • 0033184875 scopus 로고    scopus 로고
    • Microscopic models of traveling wave equations
    • BRUNET, E. andDERRIDA, B. (1999). Microscopic models of traveling wave equations. Comput. Phys. Comm. 121-122 376-381.
    • (1999) Comput. Phys. Comm , vol.121-122 , pp. 376-381
    • Brunet, E.1    Derrida, B.2
  • 19
    • 0001425072 scopus 로고    scopus 로고
    • Shift in the velocity of a front due to a cutoff
    • MR1473413
    • BRUNET, E. and DERRIDA, B. (1997). Shift in the velocity of a front due to a cutoff. Phys. Rev. E (3) 56 2597-2604. MR1473413
    • (1997) Phys. Rev. E , vol.56 , Issue.3 , pp. 2597-2604
    • Brunet, E.1    Derrida, B.2
  • 20
    • 0035532616 scopus 로고    scopus 로고
    • Effect of microscopic noise on front propagation
    • MR1828730
    • BRUNET, É. and DERRIDA, B. (2001). Effect of microscopic noise on front propagation. J. Stat. Phys. 103 269-282. MR1828730
    • (2001) J. Stat. Phys. , vol.103 , pp. 269-282
    • Brunet, É.1    Derrida, B.2
  • 21
    • 33749669193 scopus 로고    scopus 로고
    • Noisy traveling waves: Effect of selection on genealogies
    • MR2299937
    • BRUNET, E.,DERRIDA, B.,MUELLER, A. H. andMUNIER, S. (2006). Noisy traveling waves: Effect of selection on genealogies. Europhys. Lett. 76 1-7. MR2299937
    • (2006) Europhys. Lett. , vol.76 , pp. 1-7
    • Brunet, E.1    Derrida, B.2    Mueller, A.H.3    Munier, S.4
  • 22
    • 35248850316 scopus 로고    scopus 로고
    • Effect of selection on ancestry: An exactly soluble case and its phenomenological generalization
    • MR2365627
    • BRUNET, É., DERRIDA, B.,MUELLER, A. H. andMUNIER, S. (2007). Effect of selection on ancestry: An exactly soluble case and its phenomenological generalization. Phys. Rev. E (3) 76 041104. MR2365627
    • (2007) Phys. Rev. E , vol.76 , Issue.3 , pp. 041104
    • Brunet, É.1    Derrida, B.2    Mueller, A.H.3    Munier, S.4
  • 23
    • 84867557501 scopus 로고    scopus 로고
    • Proof(s) of the Lamperti representation of continuous-state branching processes
    • MR2592395
    • CABALLERO, M. E., LAMBERT, A. and URIBE BRAVO, G. (2009). Proof(s) of the Lamperti representation of continuous-state branching processes. Probab. Surv. 6 62-89. MR2592395
    • (2009) Probab. Surv. , vol.6 , pp. 62-89
    • Caballero, M.E.1    Lambert, A.2    Uribe Bravo, G.3
  • 25
    • 77951853898 scopus 로고    scopus 로고
    • The survival probability of a branching random walk in presence of an absorbing wall
    • MR2366713
    • DERRIDA, B. and SIMON, D. (2007). The survival probability of a branching random walk in presence of an absorbing wall. Europhys. Lett. EPL 78 Art. 60006. MR2366713
    • (2007) Europhys. Lett. EPL . Art. , vol.78 , pp. 60006
    • Derrida, B.1    Simon, D.2
  • 26
    • 0033243134 scopus 로고    scopus 로고
    • Particle representations for measure-valued population models
    • MR1681126
    • DONNELLY, P. and KURTZ, T. G. (1999). Particle representations for measure-valued population models. Ann. Probab. 27 166-205. MR1681126
    • (1999) Ann. Probab. , vol.27 , pp. 166-205
    • Donnelly, P.1    Kurtz, T.G.2
  • 27
    • 33847619112 scopus 로고    scopus 로고
    • Asymptotic results concerning the total branch length of the Bolthausen-Sznitman coalescent
    • MR2353033
    • DRMOTA, M., IKSANOV, A., MOEHLE, M. and ROESLER, U. (2007). Asymptotic results concerning the total branch length of the Bolthausen-Sznitman coalescent. Stochastic Process. Appl. 117 1404-1421. MR2353033
    • (2007) Stochastic Process. Appl. , vol.117 , pp. 1404-1421
    • Drmota, M.1    Iksanov, A.2    Moehle, M.3    Roesler, U.4
  • 29
    • 77955266657 scopus 로고    scopus 로고
    • Evolution in predator-prey systems
    • MR2639750
    • DURRETT, R. andMAYBERRY, J. (2010). Evolution in predator-prey systems. Stochastic Process. Appl. 120 1364-1392. MR2639750
    • (2010) Stochastic Process. Appl. , vol.120 , pp. 1364-1392
    • Durrett, R.1    Mayberry, J.2
  • 30
    • 84865092501 scopus 로고    scopus 로고
    • Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations
    • DURRETT, R. andREMENIK, D. (2011). Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations. Ann. Probab. 39 2043-2078.
    • (2011) Ann. Probab , vol.39 , pp. 2043-2078
    • Durrett, R.1    Remenik, D.2
  • 32
    • 79958246372 scopus 로고    scopus 로고
    • Consistent minimal displacement of branching random walks
    • MR2606508
    • FANG, M. and ZEITOUNI, O. (2010). Consistent minimal displacement of branching random walks. Electron. Commun. Probab. 15 106-118. MR2606508
    • (2010) Electron. Commun. Probab. , vol.15 , pp. 106-118
    • Fang, M.1    Zeitouni, O.2
  • 33
    • 0000268135 scopus 로고
    • The wave of advance of advantageous genes
    • FISHER, R. A. (1937). The wave of advance of advantageous genes. Ann. Eugenics 7 355-369.
    • (1937) Ann. Eugenics , vol.7 , pp. 355-369
    • Fisher, R.A.1
  • 34
    • 79251491671 scopus 로고    scopus 로고
    • Asymptotics for the survival probability in a killed branching random walk
    • MR2779399
    • GANTERT, N., HU, Y. and SHI, Z. (2011). Asymptotics for the survival probability in a killed branching random walk. Ann. Inst. Henri Poincaré Probab. Stat. 47 111-129. MR2779399
    • (2011) Ann. Inst. Henri Poincaré Probab. Stat. , vol.47 , pp. 111-129
    • Gantert, N.1    Hu, Y.2    Shi, Z.3
  • 35
    • 23244443030 scopus 로고    scopus 로고
    • Random recursive trees and the Bolthausen- Sznitman coalescent
    • MR2164028,(electronic)
    • GOLDSCHMIDT, C. and MARTIN, J. B. (2005). Random recursive trees and the Bolthausen- Sznitman coalescent. Electron. J. Probab. 10 718-745 (electronic). MR2164028
    • (2005) Electron. J. Probab. , vol.10 , pp. 718-745
    • Goldschmidt, C.1    Martin, J.B.2
  • 36
    • 0010191693 scopus 로고
    • Asymptotic behaviour of continuous time, continuous state-space branching processes
    • MR0408016
    • GREY, D. R. (1974). Asymptotic behaviour of continuous time, continuous state-space branching processes. J. Appl. Probab. 11 669-677. MR0408016
    • (1974) J. Appl. Probab. , vol.11 , pp. 669-677
    • Grey, D.R.1
  • 37
    • 0001658352 scopus 로고
    • Postulates for subadditive processes
    • MR0370721
    • HAMMERSLEY, J. M. (1974). Postulates for subadditive processes. Ann. Probab. 2 652-680. MR0370721
    • (1974) Ann. Probab. , vol.2 , pp. 652-680
    • Hammersley, J.M.1
  • 38
    • 34249977196 scopus 로고    scopus 로고
    • Survival probabilities for branching Brownian motion with absorption
    • MR2300218,(electronic)
    • HARRIS, J. W. and HARRIS, S. C. (2007). Survival probabilities for branching Brownian motion with absorption. Electron. Commun. Probab. 12 81-92 (electronic). MR2300218
    • (2007) Electron. Commun. Probab. , vol.12 , pp. 81-92
    • Harris, J.W.1    Harris, S.C.2
  • 39
    • 28644438256 scopus 로고    scopus 로고
    • Further probabilistic analysis of the Fisher-Kolmogorov-Petrovskii-Piscounov equation: One sided travelling-waves
    • MR2196975
    • HARRIS, J. W., HARRIS, S. C. and KYPRIANOU, A. E. (2006). Further probabilistic analysis of the Fisher-Kolmogorov-Petrovskii-Piscounov equation: One sided travelling-waves. Ann. Inst. Henri Poincaré Probab. Stat. 42 125-145. MR2196975
    • (2006) Ann. Inst. Henri Poincaré Probab. Stat. , vol.42 , pp. 125-145
    • Harris, J.W.1    Harris, S.C.2    Kyprianou, A.E.3
  • 40
    • 22644449518 scopus 로고    scopus 로고
    • Travelling-waves for the FKPP equation via probabilistic arguments
    • MR1693633
    • HARRIS, S. C. (1999). Travelling-waves for the FKPP equation via probabilistic arguments. Proc. Roy. Soc. Edinburgh Sect. A 129 503-517. MR1693633
    • (1999) Proc. Roy. Soc. Edinburgh Sect.A , vol.129 , pp. 503-517
    • Harris, S.C.1
  • 42
    • 0010174296 scopus 로고
    • Stochastic branching processes with continuous state space
    • MR0101554
    • JIŘINA, M. (1958). Stochastic branching processes with continuous state space. Czechoslovak Math. J. 8(83) 292-313. MR0101554
    • (1958) Czechoslovak Math. J. , vol.8 , Issue.83 , pp. 292-313
    • Jiřina, M.1
  • 43
    • 3142718985 scopus 로고
    • Branching Brownian motion with absorption
    • MR0494543
    • KESTEN, H. (1978). Branching Brownian motion with absorption. Stochastic Process. Appl. 7 9-47. MR0494543
    • (1978) Stochastic Process. Appl. , vol.7 , pp. 9-47
    • Kesten, H.1
  • 44
    • 0000174307 scopus 로고
    • The first birth problem for an age-dependent branching process
    • MR0400438
    • KINGMAN, J. F. C. (1975). The first birth problem for an age-dependent branching process. Ann. Probab. 3 790-801. MR0400438
    • (1975) Ann. Probab. , vol.3 , pp. 790-801
    • Kingman, J.F.C.1
  • 46
    • 0002722044 scopus 로고
    • Étude de l'equation de la diffusion avec croissance de la quantité de matière et son application à un problème biologique
    • KOLMOGOROV, A., PETROVSKY, I. and PISCOUNOV, N. (1937). Étude de l'equation de la diffusion avec croissance de la quantité de matière et son application à un problème biologique. Moscow Univ. Math. Bull. 1 1-25.
    • (1937) Moscow Univ. Math. Bull , vol.1 , pp. 1-25
    • Kolmogorov, A.1    Petrovsky, I.2    Piscounov, N.3
  • 47
    • 0039044100 scopus 로고
    • A conditional limit theorem for the frontier of a branching Brownian motion
    • MR0893913
    • LALLEY, S. P. and SELLKE, T. (1987). A conditional limit theorem for the frontier of a branching Brownian motion. Ann. Probab. 15 1052-1061. MR0893913
    • (1987) Ann. Probab. , vol.15 , pp. 1052-1061
    • Lalley, S.P.1    Sellke, T.2
  • 48
    • 0000543522 scopus 로고
    • The limit of a sequence of branching processes
    • MR0217893
    • LAMPERTI, J. (1967). The limit of a sequence of branching processes. Z. Wahrsch. Verw. Gebiete 7 271-288. MR0217893
    • (1967) Z. Wahrsch. Verw. Gebiete , vol.7 , pp. 271-288
    • Lamperti, J.1
  • 49
    • 84968467488 scopus 로고
    • Continuous state branching processes
    • MR0208685
    • LAMPERTI, J. (1967). Continuous state branching processes. Bull. Amer. Math. Soc. 73 382- 386. MR0208685
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 382-386
    • Lamperti, J.1
  • 51
    • 33746159675 scopus 로고    scopus 로고
    • A limit theorem for discrete Galton-Watson branching processes with immigration
    • MR2225068
    • LI, Z. (2006). A limit theorem for discrete Galton-Watson branching processes with immigration. J. Appl. Probab. 43 289-295. MR2225068
    • (2006) J. Appl. Probab. , vol.43 , pp. 289-295
    • Li, Z.1
  • 52
    • 67649111127 scopus 로고    scopus 로고
    • A limit theorem of two-type Galton-Watson branching processes with immigration
    • MR2547941
    • MA, C. (2009). A limit theorem of two-type Galton-Watson branching processes with immigration. Statist. Probab. Lett. 79 1710-1716. MR2547941
    • (2009) Statist. Probab. Lett. , vol.79 , pp. 1710-1716
    • Ma, C.1
  • 54
    • 84980187449 scopus 로고
    • Application of Brownian motion to the equation of Kolmogorov- Petrovskii-Piskunov
    • MR0400428
    • MCKEAN, H. P. (1975). Application of Brownian motion to the equation of Kolmogorov- Petrovskii-Piskunov. Comm. Pure Appl. Math. 28 323-331. MR0400428
    • (1975) Comm. Pure Appl. Math. , vol.28 , pp. 323-331
    • Mckean, H.P.1
  • 55
    • 79955048916 scopus 로고    scopus 로고
    • Effect of noise on front propagation in reaction-diffusion equations of KPP type
    • MR2793860
    • MUELLER, C.,MYTNIK, L. and QUASTEL, J. (2011). Effect of noise on front propagation in reaction-diffusion equations of KPP type. Invent. Math. 184 405-453. MR2793860
    • (2011) Invent. Math. , vol.184 , pp. 405-453
    • Mueller, C.1    Mytnik, L.2    Quastel, J.3
  • 56
    • 0040770634 scopus 로고
    • Multiplicative martingales for spatial branching processes
    • Seminar on Stochastic Processes 1987 (Princeton, NJ, 1987). Birkhäuser, Boston, MA. MR1046418
    • NEVEU, J. (1988). Multiplicative martingales for spatial branching processes. In Seminar on Stochastic Processes, 1987 (Princeton, NJ, 1987). Progr. Probab. Statist. 15 223-242. Birkhäuser, Boston, MA. MR1046418
    • (1988) Progr. Probab. Statist. , vol.15 , pp. 223-242
    • Neveu, J.1
  • 57
    • 0038056172 scopus 로고
    • A continuous-state branching process in relation with the GREM model of spin glass theory
    • École polytechnique
    • NEVEU, J. (1992). A continuous-state branching process in relation with the GREM model of spin glass theory. Rapport interne 267, École polytechnique.
    • (1992) Rapport interne 267
    • Neveu, J.1
  • 58
    • 70049107417 scopus 로고    scopus 로고
    • Search cost for a nearly optimal path in a binary tree
    • MR2538070
    • PEMANTLE, R. (2009). Search cost for a nearly optimal path in a binary tree. Ann. Appl. Probab. 19 1273-1291. MR2538070
    • (2009) Ann. Appl. Probab. , vol.19 , pp. 1273-1291
    • Pemantle, R.1
  • 59
    • 0033233681 scopus 로고    scopus 로고
    • Coalescents with multiple collisions
    • MR1742892
    • PITMAN, J. (1999). Coalescents with multiple collisions. Ann. Probab. 27 1870-1902. MR1742892
    • (1999) Ann. Probab. , vol.27 , pp. 1870-1902
    • Pitman, J.1
  • 60
    • 0031534984 scopus 로고    scopus 로고
    • The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
    • MR1434129
    • PITMAN, J. and YOR, M. (1997). The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator. Ann. Probab. 25 855-900. MR1434129
    • (1997) Ann. Probab. , vol.25 , pp. 855-900
    • Pitman, J.1    Yor, M.2
  • 61
    • 0041175346 scopus 로고    scopus 로고
    • Continuous Martingales and Brownian Motion, 3rd ed
    • [Fundamental Principles of Mathematical Sciences] Springer, Berlin. MR1725357
    • REVUZ, D. and YOR, M. (1999). Continuous Martingales and Brownian Motion, 3rd ed. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] 293. SprinGer, Berlin. MR1725357
    • (1999) Grundlehren der Mathematischen Wissenschaften , pp. 293
    • Revuz, D.1    Yor, M.2
  • 62
    • 0033233843 scopus 로고    scopus 로고
    • The general coalescent with asynchronous mergers of ancestral lines
    • MR1742154
    • SAGITOV, S. (1999). The general coalescent with asynchronous mergers of ancestral lines. J. Appl. Probab. 36 1116-1125. MR1742154
    • (1999) J. Appl. Probab. , vol.36 , pp. 1116-1125
    • Sagitov, S.1
  • 63
    • 0011967060 scopus 로고
    • Branching diffusion processes in population genetics
    • MR0432250
    • SAWYER, S. (1976). Branching diffusion processes in population genetics. Adv. in Appl. Probab. 8 659-689. MR0432250
    • (1976) Adv. in Appl. Probab. , vol.8 , pp. 659-689
    • Sawyer, S.1
  • 64
    • 0038108499 scopus 로고
    • A new approach to local times
    • MR0226734
    • SILVERSTEIN, M. L. (1967/1968). A new approach to local times. J. Math. Mech. 17 1023- 1054. MR0226734
    • (1967) J. Math. Mech. , vol.17 , pp. 1023-1054
    • Silverstein, M.L.1
  • 65
    • 77951815976 scopus 로고    scopus 로고
    • Quasi-stationary regime of a branching random walk in presence of an absorbing wall
    • MR2386578
    • SIMON, D. and DERRIDA, B. (2008). Quasi-stationary regime of a branching random walk in presence of an absorbing wall. J. Stat. Phys. 131 203-233. MR2386578
    • (2008) J. Stat. Phys. , vol.131 , pp. 203-233
    • Simon, D.1    Derrida, B.2


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