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Author ID: biggins.j-d Recent zbMATH articles by "Biggins, J. D."
Published as: Biggins, J. D.
External Links: MGP
Documents Indexed: 45 Publications since 1976
Co-Authors: 20 Co-Authors with 24 Joint Publications
617 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 980 times in 524 Documents Cited by Year
Martingale convergence in the branching random walk. Zbl 0356.60053
Biggins, J. D.
130
1977
Measure change in multitype branching. Zbl 1056.60082
Biggins, J. D.; Kyprianou, A. E.
96
2004
Uniform convergence of martingales in the branching random walk. Zbl 0748.60080
Biggins, J. D.
80
1992
The first- and last-birth problems for a multitype age-dependent branching process. Zbl 0339.60074
Biggins, J. D.
74
1976
Chernoff’s theorem in the branching random walk. Zbl 0373.60090
Biggins, J. D.
68
1977
Seneta-Heyde norming in the branching random walk. Zbl 0873.60062
Biggins, J. D.; Kyprianou, A. E.
58
1997
Fixed points of the smoothing transform: the boundary case. Zbl 1110.60081
Biggins, J. D.; Kyprianou, A. E.
43
2005
The functional equation of the smoothing transform. Zbl 1266.39022
Alsmeyer, Gerold; Biggins, J. D.; Meiners, Matthias
36
2012
Growth rates in the branching random walk. Zbl 0387.60092
Biggins, J. D.
35
1979
Large deviations in the supercritical branching process. Zbl 0796.60090
Biggins, J. D.; Bingham, N. H.
34
1993
The central limit theorem for the supercritical branching random walk, and related results. Zbl 0703.60083
Biggins, J. D.
30
1990
The asymptotic shape of the branching random walk. Zbl 0383.60078
Biggins, J. D.
24
1978
The growth and spread of the general branching random walk. Zbl 0859.60075
Biggins, J. D.
23
1995
The supercritical Galton-Watson process in varying environments. Zbl 0758.60088
D’Souza, J. C.; Biggins, J. D.
20
1992
How fast does a general branching random walk spread? Zbl 0873.60061
Biggins, J. D.
20
1997
Lindley-type equations in the branching random walk. Zbl 0933.60087
Biggins, J. D.
19
1998
Near-constancy phenomena in branching processes. Zbl 0749.60077
Biggins, J. D.; Bingham, N. H.
17
1991
A branching random walk with a barrier. Zbl 0749.60076
Biggins, J. D.; Lubachevsky, Boris D.; Schwartz, Adam; Weiss, Alan
17
1991
Multi-type branching in varying environment. Zbl 0997.60093
Biggins, J. D.; Cohn, H.; Nerman, O.
17
1999
Markov renewal processes, counters and repeated sequences in Markov chains. Zbl 0629.60100
Biggins, J. D.; Cannings, C.
14
1987
Continuity of limit random variables in the branching random walk. Zbl 0425.60069
Biggins, J. D.; Grey, D. R.
13
1979
Multifractal spectra for random self-similar measures via branching processes. Zbl 1223.28010
Biggins, J. D.; Hambly, B. M.; Jones, O. D.
12
2011
Large deviations for mixtures. Zbl 1060.60026
Biggins, J. D.
12
2004
Branching out. Zbl 1213.60134
Biggins, J. D.
11
2010
Convergence results on multitype, multivariate branching random walks. Zbl 1076.60072
Biggins, J. D.; Rahimzadeh Sani, A.
11
2005
Uniform convergence of martingales in the one-dimensional branching random walk. Zbl 0770.60077
Biggins, J. D.
9
1991
Random walk conditioned to stay positive. Zbl 1046.60066
Biggins, J. D.
8
2003
A note on the growth of random trees. Zbl 0904.60067
Biggins, J. D.; Grey, D. R.
7
1997
Branching random walk: Seneta-Heyde norming. Zbl 0864.60070
Biggins, J. D.; Kyprianou, A. E.
7
1996
Near-constancy of the Harris function in the simple branching process. Zbl 0777.60080
Biggins, J. D.; Nadarajah, S.
7
1993
Some divisibility problems in branching processes. Zbl 0473.60069
Biggins, J. D.; Shanbhag, D. N.
6
1981
The supercritical Galton-Watson process in varying environments – Seneta-Heyde norming. Zbl 0789.60064
Biggins, J. D.; D’Souza, J. C.
5
1993
A note on repeated sequences in Markov chains. Zbl 0634.60083
Biggins, J. D.
3
1987
Spatial spread in branching processes. Zbl 0443.60082
Biggins, J. D.
3
1980
Spreading speeds in reducible multitype branching random walk. Zbl 1269.60068
Biggins, J. D.
3
2012
Expected population size in the generation-dependent branching process. Zbl 0626.60081
Biggins, J. D.; Götz, Thomas
2
1987
Large deviations in randomly coloured random graphs. Zbl 1185.05125
Biggins, J. D.; Penman, D. B.
2
2009
The growth of iterates of multivariate generating functions. Zbl 1158.39017
Biggins, J. D.
2
2008
Martingale convergence and large deviations in branching random walk. Zbl 0787.60105
Biggins, J. D.
1
1992
Limiting point processes in the branching random walk. Zbl 0447.60065
Biggins, J. D.
1
1981
The functional equation of the smoothing transform. Zbl 1266.39022
Alsmeyer, Gerold; Biggins, J. D.; Meiners, Matthias
36
2012
Spreading speeds in reducible multitype branching random walk. Zbl 1269.60068
Biggins, J. D.
3
2012
Multifractal spectra for random self-similar measures via branching processes. Zbl 1223.28010
Biggins, J. D.; Hambly, B. M.; Jones, O. D.
12
2011
Branching out. Zbl 1213.60134
Biggins, J. D.
11
2010
Large deviations in randomly coloured random graphs. Zbl 1185.05125
Biggins, J. D.; Penman, D. B.
2
2009
The growth of iterates of multivariate generating functions. Zbl 1158.39017
Biggins, J. D.
2
2008
Fixed points of the smoothing transform: the boundary case. Zbl 1110.60081
Biggins, J. D.; Kyprianou, A. E.
43
2005
Convergence results on multitype, multivariate branching random walks. Zbl 1076.60072
Biggins, J. D.; Rahimzadeh Sani, A.
11
2005
Measure change in multitype branching. Zbl 1056.60082
Biggins, J. D.; Kyprianou, A. E.
96
2004
Large deviations for mixtures. Zbl 1060.60026
Biggins, J. D.
12
2004
Random walk conditioned to stay positive. Zbl 1046.60066
Biggins, J. D.
8
2003
Multi-type branching in varying environment. Zbl 0997.60093
Biggins, J. D.; Cohn, H.; Nerman, O.
17
1999
Lindley-type equations in the branching random walk. Zbl 0933.60087
Biggins, J. D.
19
1998
Seneta-Heyde norming in the branching random walk. Zbl 0873.60062
Biggins, J. D.; Kyprianou, A. E.
58
1997
How fast does a general branching random walk spread? Zbl 0873.60061
Biggins, J. D.
20
1997
A note on the growth of random trees. Zbl 0904.60067
Biggins, J. D.; Grey, D. R.
7
1997
Branching random walk: Seneta-Heyde norming. Zbl 0864.60070
Biggins, J. D.; Kyprianou, A. E.
7
1996
The growth and spread of the general branching random walk. Zbl 0859.60075
Biggins, J. D.
23
1995
Large deviations in the supercritical branching process. Zbl 0796.60090
Biggins, J. D.; Bingham, N. H.
34
1993
Near-constancy of the Harris function in the simple branching process. Zbl 0777.60080
Biggins, J. D.; Nadarajah, S.
7
1993
The supercritical Galton-Watson process in varying environments – Seneta-Heyde norming. Zbl 0789.60064
Biggins, J. D.; D’Souza, J. C.
5
1993
Uniform convergence of martingales in the branching random walk. Zbl 0748.60080
Biggins, J. D.
80
1992
The supercritical Galton-Watson process in varying environments. Zbl 0758.60088
D’Souza, J. C.; Biggins, J. D.
20
1992
Martingale convergence and large deviations in branching random walk. Zbl 0787.60105
Biggins, J. D.
1
1992
Near-constancy phenomena in branching processes. Zbl 0749.60077
Biggins, J. D.; Bingham, N. H.
17
1991
A branching random walk with a barrier. Zbl 0749.60076
Biggins, J. D.; Lubachevsky, Boris D.; Schwartz, Adam; Weiss, Alan
17
1991
Uniform convergence of martingales in the one-dimensional branching random walk. Zbl 0770.60077
Biggins, J. D.
9
1991
The central limit theorem for the supercritical branching random walk, and related results. Zbl 0703.60083
Biggins, J. D.
30
1990
Markov renewal processes, counters and repeated sequences in Markov chains. Zbl 0629.60100
Biggins, J. D.; Cannings, C.
14
1987
A note on repeated sequences in Markov chains. Zbl 0634.60083
Biggins, J. D.
3
1987
Expected population size in the generation-dependent branching process. Zbl 0626.60081
Biggins, J. D.; Götz, Thomas
2
1987
Some divisibility problems in branching processes. Zbl 0473.60069
Biggins, J. D.; Shanbhag, D. N.
6
1981
Limiting point processes in the branching random walk. Zbl 0447.60065
Biggins, J. D.
1
1981
Spatial spread in branching processes. Zbl 0443.60082
Biggins, J. D.
3
1980
Growth rates in the branching random walk. Zbl 0387.60092
Biggins, J. D.
35
1979
Continuity of limit random variables in the branching random walk. Zbl 0425.60069
Biggins, J. D.; Grey, D. R.
13
1979
The asymptotic shape of the branching random walk. Zbl 0383.60078
Biggins, J. D.
24
1978
Martingale convergence in the branching random walk. Zbl 0356.60053
Biggins, J. D.
130
1977
Chernoff’s theorem in the branching random walk. Zbl 0373.60090
Biggins, J. D.
68
1977
The first- and last-birth problems for a multitype age-dependent branching process. Zbl 0339.60074
Biggins, J. D.
74
1976
all top 5

Cited by 525 Authors

17 Liu, Quansheng
17 Mallein, Bastien
14 Kyprianou, Andreas E.
13 Biggins, J. D.
12 Aidekon, Elie E. F.
12 Meiners, Matthias
11 Barral, Julien
11 Bertoin, Jean
11 Gao, Zhiqiang
11 Iksanov, Aleksander M.
11 Olvera-Cravioto, Mariana
10 Alsmeyer, Gerold
10 Buraczewski, Dariusz
10 Chen, Xinxin
10 Harris, Simon C.
10 Hu, Yueyun
10 Shi, Zhan
9 Huang, Chunmao
9 Maillard, Pascal
8 Attia, Najmeddine
8 Ren, Yanxia
7 Durrett, Richard Timothy
7 Gantert, Nina
6 Devroye, Luc P. J. A.
6 Hambly, Ben M.
6 Hong, Wenming
6 Jones, Owen Dafydd
6 Kolesko, Konrad
6 Rouault, Alain
5 Addario-Berry, Louigi
5 Bansaye, Vincent
5 Damek, Ewa
5 Mentemeier, Sebastian
5 Rösler, Uwe
5 Waymire, Edward C.
4 Bezborodov, Viktor
4 Chauvin, Brigitte
4 Cohn, Harry
4 Di Persio, Luca
4 Dyszewski, Piotr
4 Engländer, János
4 Janson, Svante
4 Jelenković, Predrag R.
4 Krüger, Tyll
4 Li, Yingqiu
4 Liang, Xingang
4 Liu, Rongli
4 Louidor, Oren
4 Pakes, Anthony G.
4 Powell, Ellen
4 Song, Renming
4 Wachtel, Vitali I.
4 Wang, Xiaoqiang
4 Zeitouni, Ofer
4 Zhang, Shuxiong
4 Zucca, Fabio
3 Andreoletti, Pierre
3 Basrak, Bojan
3 Berestycki, Julien
3 Bertacchi, Daniela
3 Braunsteins, Peter
3 Broutin, Nicolas
3 Bulinskaya, Ekaterina Vladimirovna
3 Comets, Francis M.
3 Curien, Nicolas
3 Dascaliuc, Radu
3 Fleischmann, Klaus
3 Giacomin, Giambattista
3 Grabner, Peter J.
3 Gravner, Janko
3 Griffeath, David
3 Griffiths, Simon
3 Grübel, Rudolf
3 Hautphenne, Sophie
3 He, Hui
3 Höfelsauer, Thomas
3 Johnson, Tobias
3 Kabluchko, Zakhar A.
3 Kersting, Götz-Dietrich
3 Kevei, Péter
3 Kortchemski, Igor
3 Madaule, Thomas
3 Mandjes, Michel Robertus Hendrikus
3 Marynych, Alexander V.
3 Mörters, Peter
3 Palmowski, Zbigniew
3 Patterson, Robert I. A.
3 Peres, Yuval
3 Pozdnyakov, Vladimir
3 Renger, D. R. Michiel
3 Rhodes, Rémi
3 Roberts, Matthew Iain
3 Rodríguez, Pablo M.
3 Roy, Parthanil
3 Shanbhag, Damodar N.
3 Shi, Quan
3 Thomann, Enrique A.
3 Vargas, Vincent
3 Vatutin, Vladimir Alekseevich
3 Wang, Xin
...and 425 more Authors
all top 5

Cited in 114 Serials

63 Stochastic Processes and their Applications
37 The Annals of Applied Probability
34 The Annals of Probability
32 Journal of Applied Probability
28 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
25 Probability Theory and Related Fields
21 Statistics & Probability Letters
20 Journal of Theoretical Probability
17 Advances in Applied Probability
16 Electronic Journal of Probability
14 Electronic Communications in Probability
13 Journal of Statistical Physics
12 Bernoulli
7 Communications in Mathematical Physics
6 Random Structures & Algorithms
6 ALEA. Latin American Journal of Probability and Mathematical Statistics
6 Frontiers of Mathematics in China
5 Transactions of the American Mathematical Society
5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
5 Queueing Systems
4 Journal of Mathematical Biology
4 Theory of Probability and its Applications
4 Annals of the Institute of Statistical Mathematics
4 Combinatorics, Probability and Computing
4 Brazilian Journal of Probability and Statistics
3 Journal of Mathematical Analysis and Applications
3 Mathematical Biosciences
3 Communications in Statistics. Theory and Methods
3 Journal of Difference Equations and Applications
3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
3 Stochastic Models
3 Stochastics
3 Proceedings of the Steklov Institute of Mathematics
3 Science China. Mathematics
2 Acta Informatica
2 Communications on Pure and Applied Mathematics
2 Advances in Mathematics
2 Journal of Soviet Mathematics
2 Journal of Statistical Planning and Inference
2 Proceedings of the London Mathematical Society. Third Series
2 Probability and Mathematical Statistics
2 Revista Matemática Iberoamericana
2 Mathematical and Computer Modelling
2 Science in China. Series A
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Annals of Mathematics. Second Series
2 Acta Mathematica Sinica. English Series
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Physics A: Mathematical and Theoretical
1 Bulletin of the Australian Mathematical Society
1 Discrete Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Physics
1 Lithuanian Mathematical Journal
1 Mathematical Methods in the Applied Sciences
1 Metrika
1 Nonlinearity
1 Periodica Mathematica Hungarica
1 Arkiv för Matematik
1 Chaos, Solitons and Fractals
1 Acta Scientiarum Mathematicarum
1 The Annals of Statistics
1 Applied Mathematics and Computation
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 Journal of Functional Analysis
1 Mathematische Nachrichten
1 Mathematics of Operations Research
1 Mathematika
1 Proceedings of the American Mathematical Society
1 Proceedings of the Japan Academy. Series A
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 SIAM Journal on Computing
1 Theoretical Computer Science
1 Theoretical Population Biology
1 Advances in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of the American Mathematical Society
1 Journal of Applied Mathematics and Stochastic Analysis
1 International Journal of Mathematics
1 International Journal of Algebra and Computation
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Geometric and Functional Analysis. GAFA
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Computational Statistics and Data Analysis
1 Journal of Nonlinear Science
1 Test
1 Statistical Papers
1 Journal of Mathematical Sciences (New York)
1 Bulletin des Sciences Mathématiques
1 Mathematical Physics, Analysis and Geometry
1 Taiwanese Journal of Mathematics
1 Chaos
1 Extremes
...and 14 more Serials

Citations by Year