-
1
-
-
0003362526
-
Sobolev spaces
-
Academic Press, New York. MR0450957
-
ADAMS, R. A. (1975). Sobolev Spaces. Pure and Applied Mathematics 65. Academic Press, New York. MR0450957
-
(1975)
Pure and Applied Mathematics
, vol.65
-
-
Adams, R.A.1
-
2
-
-
34250386670
-
Strong limit theorems for general supercritical branching processes with applications to branching diffusions
-
MR0420889
-
ASMUSSEN, S. and HERING, H. (1976). Strong limit theorems for general supercritical branching processes with applications to branching diffusions. Z. Wahrsch. Verw. Gebiete 36 195-212. MR0420889
-
(1976)
Z. Wahrsch. Verw. Gebiete
, vol.36
, pp. 195-212
-
-
Asmussen, S.1
Hering, H.2
-
4
-
-
0007376091
-
Some limit theorems for positive recurrent branching Markov chains: I
-
ATHREYA, K. B. and KANG, H.-J. (1998). Some limit theorems for positive recurrent branching Markov chains. I, II. Adv. in Appl. Probab. 30 693-710. MR1663545 (Pubitemid 128482505)
-
(1998)
Advances in Applied Probability
, vol.30
, Issue.3
, pp. 693-710
-
-
Athreya, K.B.1
Kang, H.-J.2
-
6
-
-
52949114580
-
Proliferating parasites in dividing cells: Kimmel's branching model revisited
-
MR2418235
-
BANSAYE, V. (2008). Proliferating parasites in dividing cells: Kimmel's branching model revisited. Ann. Appl. Probab. 18 967-996. MR2418235
-
(2008)
Ann. Appl. Probab.
, vol.18
, pp. 967-996
-
-
Bansaye, V.1
-
7
-
-
82655164908
-
Branching Feller diffusion for cell division with parasite infection
-
BANSAYE, V. and TRAN, V. C. (2011). Branching Feller diffusion for cell division with parasite infection. ALEA 8 95-127.
-
(2011)
ALEA
, vol.8
, pp. 95-127
-
-
Bansaye, V.1
Tran, V.C.2
-
8
-
-
0001697939
-
Markov chains indexed by trees
-
MR1258875
-
BENJAMINI, I. and PERES, Y. (1994). Markov chains indexed by trees. Ann. Probab. 22 219-243. MR1258875
-
(1994)
Ann. Probab.
, vol.22
, pp. 219-243
-
-
Benjamini, I.1
Peres, Y.2
-
9
-
-
77956106894
-
Asymptotic analysis for bifurcating autoregressive processes via a martingale approach
-
MR2563249
-
BERCU, B., DE SAPORTA, B. and GÉGOUT-PETIT, A. (2009). Asymptotic analysis for bifurcating autoregressive processes via a martingale approach. Electron. J. Probab. 14 2492-2526. MR2563249
-
(2009)
Electron. J. Probab.
, vol.14
, pp. 2492-2526
-
-
Bercu, B.1
De Saporta, B.2
Gégout-Petit, A.3
-
10
-
-
0035621332
-
Homogeneous fragmentation processes
-
MR1867425
-
BERTOIN, J. (2001). Homogeneous fragmentation processes. Probab. Theory Related Fields 121 301-318. MR1867425
-
(2001)
Probab. Theory Related Fields
, vol.121
, pp. 301-318
-
-
Bertoin, J.1
-
11
-
-
33846526778
-
Random fragmentation and coagulation processes
-
Cambridge Univ. Press, Cambridge. MR2253162
-
BERTOIN, J. (2006). Random Fragmentation and Coagulation Processes. Cambridge Studies in Advanced Mathematics 102. Cambridge Univ. Press, Cambridge. MR2253162
-
(2006)
Cambridge Studies in Advanced Mathematics
, vol.102
-
-
Bertoin, J.1
-
12
-
-
0007633320
-
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
-
13
-
-
0842289508
-
Spatial spread in branching processes
-
Biological Growth and Spread (Proc. Conf., Heidelberg, 1979) Springer, Berlin. MR0609346
-
BIGGINS, J. D. (1980). Spatial spread in branching processes. In Biological Growth and Spread (Proc. Conf., Heidelberg, 1979). Lecture Notes in Biomathematics 38 57-67. Springer, Berlin. MR0609346
-
(1980)
Lecture Notes in Biomathematics
, vol.38
, pp. 57-67
-
-
Biggins, J.D.1
-
15
-
-
0002275662
-
Measure-valued Markov processes
-
École D'Été de Probabilités de Saint-Flour XXI - 1991 Springer, Berlin. MR1242575
-
DAWSON, D. A. (1993). Measure-valued Markov processes. In École D'Été de Probabilités de Saint-Flour XXI - 1991. Lecture Notes in Math. 1541 1-260. Springer, Berlin. MR1242575
-
(1993)
Lecture Notes in Math.
, vol.1541
, pp. 1-260
-
-
Dawson, D.A.1
-
16
-
-
0036808122
-
Nonlocal branching superprocesses and some related models
-
DOI 10.1023/A:1020507922973
-
DAWSON, D. A., GOROSTIZA, L. G. and LI, Z. (2002). Nonlocal branching superprocesses and some related models. Acta Appl. Math. 74 93-112. MR1936024 (Pubitemid 35344798)
-
(2002)
Acta Applicandae Mathematicae
, vol.74
, Issue.1
, pp. 93-112
-
-
Dawson, D.A.1
Gorostiza, L.G.2
Li, Z.3
-
17
-
-
77957749523
-
Detection of cellular aging in a Galton-Watson process
-
DELMAS, J. F. and MARSALLE, L. (2010). Detection of cellular aging in a Galton-Watson process. Stochastic Process. Appl. 120 2495-2519.
-
(2010)
Stochastic Process. Appl.
, vol.120
, pp. 2495-2519
-
-
Delmas, J.F.1
Marsalle, L.2
-
18
-
-
33947725198
-
Random trees, Lévy processes and spatial branching processes
-
MR1954248
-
DUQUESNE, T. and LE GALL, J.-F. (2002). Random trees, Lévy processes and spatial branching processes. Astérisque 281 vi+147. MR1954248
-
(2002)
Astérisque
, vol.281
-
-
Duquesne, T.1
Gall J -F, L.E.2
-
19
-
-
0003619753
-
An introduction to branching measure-valued processes
-
Amer. Math. Soc., Providence, RI. MR1280712
-
DYNKIN, E. B. (1994). An Introduction to Branching Measure-Valued Processes. CRM Monograph Series 6. Amer. Math. Soc., Providence, RI. MR1280712
-
(1994)
CRM Monograph Series 6
-
-
Dynkin, E.B.1
-
20
-
-
0036018201
-
A scaling limit theorem for a class of superdiffusions
-
MR1905855
-
ENGLäNDER, J. and TURAEV, D. (2002). A scaling limit theorem for a class of superdiffusions. Ann. Probab. 30 683-722. MR1905855
-
(2002)
Ann. Probab.
, vol.30
, pp. 683-722
-
-
Engländer, J.1
Turaev, D.2
-
23
-
-
34247575680
-
Damage segregation at fissioning may increase growth rates: A superprocess model
-
DOI 10.1016/j.tpb.2007.02.004, PII S0040580907000202
-
EVANS, S. N. and STEINSALTZ, D. (2007). Damage segregation at fissioning may increase growth rates: A superprocess model. Theoretical Population Biology 71 473-490. (Pubitemid 46678119)
-
(2007)
Theoretical Population Biology
, vol.71
, Issue.4
, pp. 473-490
-
-
Evans, S.N.1
Steinsaltz, D.2
-
25
-
-
77952961997
-
Stochastic and deterministic models for age-structured populations with genetically variable traits
-
EDP Sci., Les Ulis. MR2562651
-
FERRIÈRE, R. and TRAN, V. C. (2009). Stochastic and deterministic models for age-structured populations with genetically variable traits. In CANUM 2008. ESAIM Proc. 27 289-310. EDP Sci., Les Ulis. MR2562651
-
(2009)
CANUM 2008. ESAIM Proc.
, Issue.27
, pp. 289-310
-
-
Ferrière, R.1
Tran, V.C.2
-
26
-
-
26844479973
-
A microscopic probabilistic description of a locally regulated population and macroscopic approximations
-
DOI 10.1214/105051604000000882
-
FOURNIER, N. and MÉLÉARD, S. (2004). A microscopic probabilistic description of a locally regulated population and macroscopic approximations. Ann. Appl. Probab. 14 1880-1919. MR2099656 (Pubitemid 41449199)
-
(2004)
Annals of Applied Probability
, vol.14
, Issue.4
, pp. 1880-1919
-
-
Fournier, N.1
Meleard, S.2
-
27
-
-
0033235812
-
Elementary new proofs of classical limit theorems for Galton-Watson processes
-
MR1724856
-
GEIGER, J. (1999). Elementary new proofs of classical limit theorems for Galton-Watson processes. J. Appl. Probab. 36 301-309. MR1724856
-
(1999)
J. Appl. Probab.
, vol.36
, pp. 301-309
-
-
Geiger, J.1
-
28
-
-
10644253396
-
Poisson point process limits in size-biased Galton-Watson trees
-
(electronic). MR1800073
-
GEIGER, J. (2000). Poisson point process limits in size-biased Galton-Watson trees. Electron. J. Probab. 5 12 pp. (electronic). MR1800073
-
(2000)
Electron. J. Probab.
, vol.5
, pp. 12
-
-
Geiger, J.1
-
29
-
-
11144340434
-
The shape of large Galton-Watson trees with possibly infinite variance
-
DOI 10.1002/rsa.20021
-
GEIGER, J. and KAUFFMANN, L. (2004). The shape of large Galton-Watson trees with possibly infinite variance. Random Structures Algorithms 25 311-335. MR2086163 (Pubitemid 40031410)
-
(2004)
Random Structures and Algorithms
, vol.25
, Issue.3
, pp. 311-335
-
-
Geiger, J.1
Kauffmann, L.2
-
30
-
-
0344514149
-
Supercritical multitype branching processes: The ancestral types of typical individuals
-
MR2014271
-
GEORGII, H.-O. and BAAKE, E. (2003). Supercritical multitype branching processes: The ancestral types of typical individuals. Adv. in Appl. Probab. 35 1090-1110. MR2014271
-
(2003)
Adv. in Appl. Probab.
, vol.35
, pp. 1090-1110
-
-
Georgii, H.-O.1
Baake, E.2
-
31
-
-
0001526212
-
Persistence of critical multitype particle and measure branching processes
-
MR1165515
-
GOROSTIZA, L. G., ROELLY, S. andWAKOLBINGER, A. (1992). Persistence of critical multitype particle and measure branching processes. Probab. Theory Related Fields 92 313-335. MR1165515
-
(1992)
Probab. Theory Related Fields
, vol.92
, pp. 313-335
-
-
Gorostiza, L.G.1
Roelly, S.2
Wakolbinger, A.3
-
32
-
-
52949116781
-
Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging
-
MR2358633
-
GUYON, J. (2007). Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging. Ann. Appl. Probab. 17 1538-1569. MR2358633
-
(2007)
Ann. Appl. Probab.
, vol.17
, pp. 1538-1569
-
-
Guyon, J.1
-
33
-
-
68749086062
-
A spine approach to branching diffusions with applications to Lp-convergence of martingales
-
Séminaire de Probabilités XLII Springer, Berlin. MR2599214
-
HARDY, R. and HARRIS, S. C. (2009). A spine approach to branching diffusions with applications to Lp-convergence of martingales. In Séminaire de Probabilités XLII. Lecture Notes in Math. 1979 281-330. Springer, Berlin. MR2599214
-
(2009)
Lecture Notes in Math.
, vol.1979
, pp. 281-330
-
-
Hardy, R.1
Harris, S.C.2
-
36
-
-
0003248250
-
Stochastic Differential Equations and Diffusion Processes, 2nd ed
-
North-Holland, Amsterdam. MR1011252
-
IKEDA, N. and WATANABE, S. (1989). Stochastic Differential Equations and Diffusion Processes, 2nd ed. North-Holland Mathematical Library 24. North-Holland, Amsterdam. MR1011252
-
(1989)
North-Holland Mathematical Library
, vol.24
-
-
Ikeda, N.1
Watanabe, S.2
-
38
-
-
0002639718
-
Weak convergence of sequences of semimartingales with applications to multitype branching processes
-
MR0827331
-
JOFFE, A. and MÉTIVIER, M. (1986). Weak convergence of sequences of semimartingales with applications to multitype branching processes. Adv. in Appl. Probab. 18 20-65. MR0827331
-
(1986)
Adv. in Appl. Probab.
, vol.18
, pp. 20-65
-
-
Joffe, A.1
Métivier, M.2
-
39
-
-
84985304761
-
Stability of critical cluster fields
-
MR0443078
-
KALLENBERG, O. (1977). Stability of critical cluster fields. Math. Nachr. 77 7-43. MR0443078
-
(1977)
Math. Nachr.
, vol.77
, pp. 7-43
-
-
Kallenberg, O.1
-
40
-
-
77953681212
-
The contour of splitting trees is a Lévy process
-
MR2599603
-
LAMBERT, A. (2010). The contour of splitting trees is a Lévy process. Ann. Probab. 38 348-395. MR2599603
-
(2010)
Ann. Probab.
, vol.38
, pp. 348-395
-
-
Lambert, A.1
-
41
-
-
0004062903
-
Equilibrium distributions of branching processes
-
Kluwer, Dordrecht. MR0974565
-
LIEMANT, A., MATTHES, K. and WAKOLBINGER, A. (1988). Equilibrium Distributions of Branching Processes. Mathematics and Its Applications (East European Series) 34. Kluwer, Dordrecht. MR0974565
-
(1988)
Mathematics and Its Applications (East European Series)
, vol.34
-
-
Liemant, A.1
Matthes, K.2
Wakolbinger, A.3
-
42
-
-
0000028988
-
Conceptual proofs of LlogL criteria for mean behavior of branching processes
-
MR1349164
-
LYONS, R., PEMANTLE, R. and PERES, Y. (1995). Conceptual proofs of LlogL criteria for mean behavior of branching processes. Ann. Probab. 23 1125-1138. MR1349164
-
(1995)
Ann. Probab.
, vol.23
, pp. 1125-1138
-
-
Lyons, R.1
Pemantle, R.2
Peres, Y.3
-
43
-
-
0009954021
-
Convergence of the fluctuations for interacting diffusions with jumps associated with Boltzmann equations
-
MR1658082
-
MELEARD, S. (1998). Convergence of the fluctuations for interacting diffusions with jumps associated with Boltzmann equations. Stochastics Stochastics Rep. 63 195-225. MR1658082
-
(1998)
Stochastics Stochastics Rep.
, vol.63
, pp. 195-225
-
-
Meleard, S.1
-
44
-
-
82655182668
-
Convergence faible et principe d'invariance pour des martingales à valeurs dans des espaces de Sobolev
-
MR0771893
-
MÉTIVIER, M. (1984). Convergence faible et principe d'invariance pour des martingales à valeurs dans des espaces de Sobolev. Ann. Inst. H. Poincaré Probab. Statist. 20 329-348. MR0771893
-
(1984)
Ann. Inst. H. Poincaré Probab. Statist.
, vol.20
, pp. 329-348
-
-
Métivier, M.1
-
45
-
-
0000684659
-
Stability of Markovian processes. II. Continuoustime processes and sampled chains
-
MR1234294
-
MEYN, S. P. and TWEEDIE, R. L. (1993). Stability of Markovian processes. II. Continuoustime processes and sampled chains. Adv. in Appl. Probab. 25 487-517. MR1234294
-
(1993)
Adv. in Appl. Probab.
, vol.25
, pp. 487-517
-
-
Meyn, S.P.1
Tweedie, R.L.2
-
46
-
-
0001340188
-
Stability of Markovian processes. III. Foster- Lyapunov criteria for continuous-time processes
-
MR1234295
-
MEYN, S. P. and TWEEDIE, R. L. (1993). Stability of Markovian processes. III. Foster- Lyapunov criteria for continuous-time processes. Adv. in Appl. Probab. 25 518-548. MR1234295
-
(1993)
Adv. in Appl. Probab.
, vol.25
, pp. 518-548
-
-
Meyn, S.P.1
Tweedie, R.L.2
-
47
-
-
0039465216
-
The stable double infinite pedigree process of supercritical branching populations
-
MR0731231
-
NERMAN, O. and JAGERS, P. (1984). The stable double infinite pedigree process of supercritical branching populations. Z. Wahrsch. Verw. Gebiete 65 445-460. MR0731231
-
(1984)
Z. Wahrsch. Verw. Gebiete
, vol.65
, pp. 445-460
-
-
Nerman, O.1
Jagers, P.2
-
49
-
-
77649214848
-
Size-biased branching population measures and the multi-type x log x condition
-
MR2597593
-
OLOFSSON, P. (2009). Size-biased branching population measures and the multi-type x log x condition. Bernoulli 15 1287-1304. MR2597593
-
(2009)
Bernoulli
, vol.15
, pp. 1287-1304
-
-
Olofsson, P.1
-
50
-
-
26844513286
-
Construction et propriétés de martingales des branchements spatiaux interactifs
-
ROELLY, S. and ROUAULT, A. (1990). Construction et proprié tés de martingales des branchements spatiaux interactifs. International Statistical Review 58 173-189.
-
(1990)
International Statistical Review
, vol.58
, pp. 173-189
-
-
Roelly, S.1
Rouault, A.2
-
52
-
-
36749004863
-
Distribution of the branching-process population among generations
-
MR0292187
-
SAMUELS, M. L. (1971). Distribution of the branching-process population among generations. J. Appl. Probab. 8 655-667. MR0292187
-
(1971)
J. Appl. Probab.
, vol.8
, pp. 655-667
-
-
Samuels, M.L.1
-
53
-
-
13944272143
-
Aging and death in a organism that reproduces by morphologically symmetric division
-
STEWART, E. J.,MADDEN, R., PAUL, G. and TADDEI, F. (2005). Aging and death in a organism that reproduces by morphologically symmetric division. PLoS Biol. 3 295-300.
-
(2005)
PLoS Biol.
, vol.3
, pp. 295-300
-
-
Stewart, E.J.1
Madden, R.2
Paul, G.3
Taddei, F.4
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