-
2
-
-
0002244969
-
Martingale convergence in the branching random walk
-
Biggins, J.D. (1977). Martingale convergence in the branching random walk. J. Appl. Probab. 14, 25-37.
-
(1977)
J. Appl. Probab
, vol.14
, pp. 25-37
-
-
Biggins, J.D.1
-
3
-
-
0040163973
-
Lindley-type equations in the branching random walk
-
Biggins, J.D. (1998). Lindley-type equations in the branching random walk. Stoch. Proc. Appl. 75, 105-133.
-
(1998)
Stoch. Proc. Appl
, vol.75
, pp. 105-133
-
-
Biggins, J.D.1
-
4
-
-
0031496422
-
Seneta-Heyde norming in the branching random walk
-
Biggins, J.D. And Kyprianou, A.E. (1997). Seneta-Heyde norming in the branching random walk. Ann. Probab. 25, 337-360.
-
(1997)
Ann. Probab
, vol.25
, pp. 337-360
-
-
Biggins, J.D.1
Kyprianou, A.E.2
-
5
-
-
3142665516
-
Measure change in multitype branching
-
Biggins, J.D. And Kyprianou, A.E. (2004). Measure change in multitype branching. Adv. Appl. Probab. 36, 544-581.
-
(2004)
Adv. Appl. Probab
, vol.36
, pp. 544-581
-
-
Biggins, J.D.1
Kyprianou, A.E.2
-
6
-
-
0016487661
-
Asymptotic properties of supercritical branching processes. II: Crump-Mode and Jirana processes
-
Bingham, N. And Doney, R.A. (1975). Asymptotic properties of supercritical branching processes. II: Crump-Mode and Jirana processes. Adv. Appl. Probab. 7, 66-82.
-
(1975)
Adv. Appl. Probab
, vol.7
, pp. 66-82
-
-
Bingham, N.1
Doney, R.A.2
-
7
-
-
84980189802
-
Maximal displacement of branching Brownian motion
-
Bramson, M. (1979). Maximal displacement of branching Brownian motion. Comm. Pure Appl. Math. 31, 531-581.
-
(1979)
Comm. Pure Appl. Math
, vol.31
, pp. 531-581
-
-
Bramson, M.1
-
8
-
-
0003175686
-
Convergence of solutions of the Kolmogorov non linear diffusion equations to travelling waves
-
Bramson, M. (1983). Convergence of solutions of the Kolmogorov non linear diffusion equations to travelling waves. Mem. Amer. Math. Soc. 44(285).
-
(1983)
Mem. Amer. Math. Soc
, vol.44
, Issue.285
-
-
Bramson, M.1
-
9
-
-
0037706919
-
Symmetric fixed points of a smoothing transfor mation
-
Caliebe, A. (2003). Symmetric fixed points of a smoothing transfor mation. Adv. Appl. Probab. 35, 377-394.
-
(2003)
Adv. Appl. Probab
, vol.35
, pp. 377-394
-
-
Caliebe, A.1
-
10
-
-
0041841605
-
Fixed points with finite variance of a smoothing transform
-
Caliebe, A. And Rösler, U. (2003a). Fixed points with finite variance of a smoothing transform. Stoc. Proc. Appl. 107, 105-129.
-
(2003)
Stoc. Proc. Appl
, vol.107
, pp. 105-129
-
-
Caliebe, A.1
Rösler, U.2
-
11
-
-
51249186049
-
Fixed points of the smoothing transform
-
Durrett, R. And Liggett, M. (1983). Fixed points of the smoothing transform. Z. Wahrsch. verw. Gebiete 64, 275-301.
-
(1983)
Z. Wahrsch. Verw. Gebiete
, vol.64
, pp. 275-301
-
-
Durrett, R.1
Liggett, M.2
-
13
-
-
0034264825
-
On the lattice case of an almost-sure renewal theorem for branching random walks
-
Gatzouras, D. (2000). On the lattice case of an almost-sure renewal theorem for branching random walks. Adv. Appl. Probab. 32,720-737.
-
(2000)
Adv. Appl. Probab
, vol.32
, pp. 720-737
-
-
Gatzouras, D.1
-
14
-
-
22644449518
-
Travelling waves for the FKPP equation via probabilistic arguments
-
Harris, S.C. (1999). Travelling waves for the FKPP equation via probabilistic arguments. Proc. Roy. Soc. Edin. 129A 503-517.
-
(1999)
Proc. Roy. Soc. Edin
, vol.129A
, pp. 503-517
-
-
Harris, S.C.1
-
15
-
-
4644286698
-
Elementary fixed points of the BRW smoothing transforms with infinite number of summands
-
Iksanov, A.M. (2004). Elementary fixed points of the BRW smoothing transforms with infinite number of summands. Stoc. Proc. Appl. 114, 27-50.
-
(2004)
Stoc. Proc. Appl
, vol.114
, pp. 27-50
-
-
Iksanov, A.M.1
-
16
-
-
0036950492
-
On fixed points of Poisson shot noise transforms
-
Iksanov, A.M. And Jurek, Z.J. (2002). On fixed points of Poisson shot noise transforms. Adv. Appl. Probab. 34, 798-825.
-
(2002)
Adv. Appl. Probab
, vol.34
, pp. 798-825
-
-
Iksanov, A.M.1
Jurek, Z.J.2
-
17
-
-
0003329153
-
Sur certaines martingales de Benoit Mandelbrot
-
Kahane, J.P. And Peyriere, J. (1976). Sur certaines martingales de Benoit Mandelbrot. Adv. Math. 22, 131-145.
-
(1976)
Adv. Math
, vol.22
, pp. 131-145
-
-
Kahane, J.P.1
Peyriere, J.2
-
18
-
-
0032251048
-
Slow variation and uniqueness of solutions to the functional equation in the branching random walk
-
Kyprianou, A.E. (1998). Slow variation and uniqueness of solutions to the functional equation in the branching random walk. J. Appl. Probab. 35, 795-802.
-
(1998)
J. Appl. Probab
, vol.35
, pp. 795-802
-
-
Kyprianou, A.E.1
-
19
-
-
0742289230
-
Travelling wave solutions to the K-P-P equation: Alternatives to Simon Harris’ probabilistic analysis
-
Kyprianou, A.E. (2004). Travelling wave solutions to the K-P-P equation: alternatives to Simon Harris’ probabilistic analysis. Ann. Inst. H. Poincaré Prob. Statist. 40, 53-72.
-
(2004)
Ann. Inst. H. Poincaré Prob. Statist
, vol.40
, pp. 53-72
-
-
Kyprianou, A.E.1
-
20
-
-
0032025081
-
Fixed points of a generalized smoothing transform and applications to the branching processes
-
Liu, Q. (1998). Fixed points of a generalized smoothing transform and applications to the branching processes. Adv. Appl. Probab. 30, 85112.
-
(1998)
Adv. Appl. Probab
, vol.30
, pp. 85112
-
-
Liu, Q.1
-
21
-
-
0001019904
-
On generalized multiplicative cascades
-
Liu, Q. (2000). On generalized multiplicative cascades. Stoc. Proc. Appl. 86, 263-286.
-
(2000)
Stoc. Proc. Appl
, vol.86
, pp. 263-286
-
-
Liu, Q.1
-
22
-
-
0008984822
-
A simple path to Biggins’ martingale convergence
-
(eds: K.B. Athreya, P. Jagers). IMA Volumes in Mathematics and its Applications, Springer-Verlag, New York
-
Lyons, r. (1997). A simple path to Biggins’ martingale convergence. In Classical and Modern Branching Processes (eds: K.B. Athreya, P. Jagers). IMA Volumes in Mathematics and its Applications 84, 217-222. Springer-Verlag, New York.
-
(1997)
Classical and Modern Branching Processes
, vol.84
, pp. 217-222
-
-
Lyons, R.1
-
23
-
-
84980187449
-
Application of Brownian motion to the equation of Kolmogorov-Petrovskii-Piskunov
-
(Correction: (1976) 29, 553-554)
-
McKean, H.P. (1975). Application of Brownian motion to the equation of Kolmogorov-Petrovskii-Piskunov. Comm. Pure Appl. Math. 28, 323-331. (Correction: (1976) 29, 553-554).
-
(1975)
Comm. Pure Appl. Math
, vol.28
, pp. 323-331
-
-
Mc Kean, H.P.1
-
24
-
-
0001491884
-
On the convergence of supercritical general (C-M-J) branching process
-
Nerman, O. (1981). On the convergence of supercritical general (C-M-J) branching process. Z. Wahrsch. verw. Gebiete 57, 365-395.
-
(1981)
Z. Wahrsch. Verw. Gebiete
, vol.57
, pp. 365-395
-
-
Nerman, O.1
-
25
-
-
0040770634
-
Multiplicative martingales for spatial branching processes
-
(eds: E. Cinlar, K.L. Chung, R.K. Getoor). Progress in Probability and Statistics, Birkhäuser, Boston
-
Neveu, J. (1988). Multiplicative martingales for spatial branching processes. In Seminar on Stochastic Processes, 1987, (eds: E. Cinlar, K.L. Chung, R.K. Getoor). Progress in Probability and Statistics, 15, 223-241. Birkhäuser, Boston.
-
(1988)
Seminar on Stochastic Processes, 1987
, vol.15
, pp. 223-241
-
-
Neveu, J.1
-
26
-
-
84985545846
-
On characterizations via mixed sums
-
Pakes, A.G. (1992). On characterizations via mixed sums. Austral. J. Statist. 34, 323-339.
-
(1992)
Austral. J. Statist
, vol.34
, pp. 323-339
-
-
Pakes, A.G.1
-
27
-
-
38249008257
-
A fixed point theorem for distributions
-
Rosler, U. (1992). A fixed point theorem for distributions. Stoc. Proc. Appl. 42, 195-214
-
(1992)
Stoc. Proc. Appl
, vol.42
, pp. 195-214
-
-
Rosler, U.1
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