Edit Profile (opens in new tab) Biggins, J. D. Co-Author Distance Author ID: 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 all top 5 Co-Authors 21 single-authored 4 D’Souza, J. C. 4 Kyprianou, Andreas E. 2 Bingham, Nicholas Hugh 2 Grey, D. R. 2 Yue, Kelvin K. 1 Alsmeyer, Gerold 1 Cannings, Chris 1 Cohn, Harry 1 Götz, Thomas B. 1 Hambly, Ben M. 1 Jones, Owen Dafydd 1 Lubachevsky, Boris D. 1 Meiners, Matthias 1 Nadarajah, Saralees 1 Nerman, Olle 1 Penman, David B. 1 Rahimzadeh Sani, A. 1 Schwartz, Adam 1 Shanbhag, Damodar N. 1 Weiss, Alan all top 5 Serials 8 Advances in Applied Probability 5 Stochastic Processes and their Applications 4 Journal of Applied Probability 3 Teoriya Veroyatnosteĭ i eë Primeneniya 3 The Annals of Probability 3 The Annals of Applied Probability 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Electronic Communications in Probability 1 Theory of Probability and its Applications 1 The Australian Journal of Statistics 1 British Journal of Mathematical & Statistical Psychology 1 Journal of the London Mathematical Society. Second Series 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Communications in Statistics. Stochastic Models 1 Electronic Journal of Probability all top 5 Fields 43 Probability theory and stochastic processes (60-XX) 2 Combinatorics (05-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 33 Fields 492 Probability theory and stochastic processes (60-XX) 50 Combinatorics (05-XX) 50 Statistical mechanics, structure of matter (82-XX) 32 Biology and other natural sciences (92-XX) 27 Measure and integration (28-XX) 24 Statistics (62-XX) 23 Computer science (68-XX) 19 Partial differential equations (35-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Numerical analysis (65-XX) 6 Number theory (11-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Difference and functional equations (39-XX) 6 Operator theory (47-XX) 4 Information and communication theory, circuits (94-XX) 3 Fluid mechanics (76-XX) 3 Operations research, mathematical programming (90-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year