Edit Profile (opens in new tab) Biggins, J. D. Compute Distance To: Compute 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 547 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 834 times in 449 Documents Cited by ▼ Year ▼ Martingale convergence in the branching random walk. Zbl 0356.60053Biggins, J. D. 114 1977 Measure change in multitype branching. Zbl 1056.60082Biggins, J. D.; Kyprianou, A. E. 79 2004 Uniform convergence of martingales in the branching random walk. Zbl 0748.60080Biggins, J. D. 66 1992 Chernoff’s theorem in the branching random walk. Zbl 0373.60090Biggins, J. D. 59 1977 The first- and last-birth problems for a multitype age-dependent branching process. Zbl 0339.60074Biggins, J. D. 58 1976 Seneta-Heyde norming in the branching random walk. Zbl 0873.60062Biggins, J. D.; Kyprianou, A. E. 52 1997 Fixed points of the smoothing transform: the boundary case. Zbl 1110.60081Biggins, J. D.; Kyprianou, A. E. 35 2005 Large deviations in the supercritical branching process. Zbl 0796.60090Biggins, J. D.; Bingham, N. H. 30 1993 The functional equation of the smoothing transform. Zbl 1266.39022Alsmeyer, Gerold; Biggins, J. D.; Meiners, Matthias 29 2012 Growth rates in the branching random walk. Zbl 0387.60092Biggins, J. D. 29 1979 The central limit theorem for the supercritical branching random walk, and related results. Zbl 0703.60083Biggins, J. D. 24 1990 The asymptotic shape of the branching random walk. Zbl 0383.60078Biggins, J. D. 21 1978 The growth and spread of the general branching random walk. Zbl 0859.60075Biggins, J. D. 20 1995 The supercritical Galton-Watson process in varying environments. Zbl 0758.60088D’Souza, J. C.; Biggins, J. D. 19 1992 Lindley-type equations in the branching random walk. Zbl 0933.60087Biggins, J. D. 17 1998 How fast does a general branching random walk spread? Zbl 0873.60061Biggins, J. D. 16 1997 Near-constancy phenomena in branching processes. Zbl 0749.60077Biggins, J. D.; Bingham, N. H. 15 1991 Markov renewal processes, counters and repeated sequences in Markov chains. Zbl 0629.60100Biggins, J. D.; Cannings, C. 14 1987 A branching random walk with a barrier. Zbl 0749.60076Biggins, J. D.; Lubachevsky, Boris D.; Schwartz, Adam; Weiss, Alan 14 1991 Multi-type branching in varying environment. Zbl 0997.60093Biggins, J. D.; Cohn, H.; Nerman, O. 14 1999 Convergence results on multitype, multivariate branching random walks. Zbl 1076.60072Biggins, J. D.; Rahimzadeh Sani, A. 11 2005 Continuity of limit random variables in the branching random walk. Zbl 0425.60069Biggins, J. D.; Grey, D. R. 10 1979 Uniform convergence of martingales in the one-dimensional branching random walk. Zbl 0770.60077Biggins, J. D. 9 1991 Branching out. Zbl 1213.60134Biggins, J. D. 9 2010 Multifractal spectra for random self-similar measures via branching processes. Zbl 1223.28010Biggins, J. D.; Hambly, B. M.; Jones, O. D. 9 2011 Large deviations for mixtures. Zbl 1060.60026Biggins, J. D. 8 2004 A note on the growth of random trees. Zbl 0904.60067Biggins, J. D.; Grey, D. R. 7 1997 Random walk conditioned to stay positive. Zbl 1046.60066Biggins, J. D. 7 2003 Branching random walk: Seneta-Heyde norming. Zbl 0864.60070Biggins, J. D.; Kyprianou, A. E. 6 1996 Near-constancy of the Harris function in the simple branching process. Zbl 0777.60080Biggins, J. D.; Nadarajah, S. 6 1993 Some divisibility problems in branching processes. Zbl 0473.60069Biggins, J. D.; Shanbhag, D. N. 6 1981 The supercritical Galton-Watson process in varying environments – Seneta-Heyde norming. Zbl 0789.60064Biggins, J. D.; D’Souza, J. C. 5 1993 A note on repeated sequences in Markov chains. Zbl 0634.60083Biggins, J. D. 3 1987 Spreading speeds in reducible multitype branching random walk. Zbl 1269.60068Biggins, J. D. 3 2012 Spatial spread in branching processes. Zbl 0443.60082Biggins, J. D. 3 1980 The growth of iterates of multivariate generating functions. Zbl 1158.39017Biggins, J. D. 2 2008 Large deviations in randomly coloured random graphs. Zbl 1185.05125Biggins, J. D.; Penman, D. B. 2 2009 Expected population size in the generation-dependent branching process. Zbl 0626.60081Biggins, J. D.; Götz, Thomas 1 1987 Martingale convergence and large deviations in branching random walk. Zbl 0787.60105Biggins, J. D. 1 1992 Limiting point processes in the branching random walk. Zbl 0447.60065Biggins, J. D. 1 1981 The functional equation of the smoothing transform. Zbl 1266.39022Alsmeyer, Gerold; Biggins, J. D.; Meiners, Matthias 29 2012 Spreading speeds in reducible multitype branching random walk. Zbl 1269.60068Biggins, J. D. 3 2012 Multifractal spectra for random self-similar measures via branching processes. Zbl 1223.28010Biggins, J. D.; Hambly, B. M.; Jones, O. D. 9 2011 Branching out. Zbl 1213.60134Biggins, J. D. 9 2010 Large deviations in randomly coloured random graphs. Zbl 1185.05125Biggins, J. D.; Penman, D. B. 2 2009 The growth of iterates of multivariate generating functions. Zbl 1158.39017Biggins, J. D. 2 2008 Fixed points of the smoothing transform: the boundary case. Zbl 1110.60081Biggins, J. D.; Kyprianou, A. E. 35 2005 Convergence results on multitype, multivariate branching random walks. Zbl 1076.60072Biggins, J. D.; Rahimzadeh Sani, A. 11 2005 Measure change in multitype branching. Zbl 1056.60082Biggins, J. D.; Kyprianou, A. E. 79 2004 Large deviations for mixtures. Zbl 1060.60026Biggins, J. D. 8 2004 Random walk conditioned to stay positive. Zbl 1046.60066Biggins, J. D. 7 2003 Multi-type branching in varying environment. Zbl 0997.60093Biggins, J. D.; Cohn, H.; Nerman, O. 14 1999 Lindley-type equations in the branching random walk. Zbl 0933.60087Biggins, J. D. 17 1998 Seneta-Heyde norming in the branching random walk. Zbl 0873.60062Biggins, J. D.; Kyprianou, A. E. 52 1997 How fast does a general branching random walk spread? Zbl 0873.60061Biggins, J. D. 16 1997 A note on the growth of random trees. Zbl 0904.60067Biggins, J. D.; Grey, D. R. 7 1997 Branching random walk: Seneta-Heyde norming. Zbl 0864.60070Biggins, J. D.; Kyprianou, A. E. 6 1996 The growth and spread of the general branching random walk. Zbl 0859.60075Biggins, J. D. 20 1995 Large deviations in the supercritical branching process. Zbl 0796.60090Biggins, J. D.; Bingham, N. H. 30 1993 Near-constancy of the Harris function in the simple branching process. Zbl 0777.60080Biggins, J. D.; Nadarajah, S. 6 1993 The supercritical Galton-Watson process in varying environments – Seneta-Heyde norming. Zbl 0789.60064Biggins, J. D.; D’Souza, J. C. 5 1993 Uniform convergence of martingales in the branching random walk. Zbl 0748.60080Biggins, J. D. 66 1992 The supercritical Galton-Watson process in varying environments. Zbl 0758.60088D’Souza, J. C.; Biggins, J. D. 19 1992 Martingale convergence and large deviations in branching random walk. Zbl 0787.60105Biggins, J. D. 1 1992 Near-constancy phenomena in branching processes. Zbl 0749.60077Biggins, J. D.; Bingham, N. H. 15 1991 A branching random walk with a barrier. Zbl 0749.60076Biggins, J. D.; Lubachevsky, Boris D.; Schwartz, Adam; Weiss, Alan 14 1991 Uniform convergence of martingales in the one-dimensional branching random walk. Zbl 0770.60077Biggins, J. D. 9 1991 The central limit theorem for the supercritical branching random walk, and related results. Zbl 0703.60083Biggins, J. D. 24 1990 Markov renewal processes, counters and repeated sequences in Markov chains. Zbl 0629.60100Biggins, J. D.; Cannings, C. 14 1987 A note on repeated sequences in Markov chains. Zbl 0634.60083Biggins, J. D. 3 1987 Expected population size in the generation-dependent branching process. Zbl 0626.60081Biggins, J. D.; Götz, Thomas 1 1987 Some divisibility problems in branching processes. Zbl 0473.60069Biggins, J. D.; Shanbhag, D. N. 6 1981 Limiting point processes in the branching random walk. Zbl 0447.60065Biggins, J. D. 1 1981 Spatial spread in branching processes. Zbl 0443.60082Biggins, J. D. 3 1980 Growth rates in the branching random walk. Zbl 0387.60092Biggins, J. D. 29 1979 Continuity of limit random variables in the branching random walk. Zbl 0425.60069Biggins, J. D.; Grey, D. R. 10 1979 The asymptotic shape of the branching random walk. Zbl 0383.60078Biggins, J. D. 21 1978 Martingale convergence in the branching random walk. Zbl 0356.60053Biggins, J. D. 114 1977 Chernoff’s theorem in the branching random walk. Zbl 0373.60090Biggins, J. D. 59 1977 The first- and last-birth problems for a multitype age-dependent branching process. Zbl 0339.60074Biggins, J. D. 58 1976 all cited Publications top 5 cited Publications all top 5 Cited by 454 Authors 15 Liu, Quansheng 13 Biggins, J. D. 13 Kyprianou, Andreas E. 13 Mallein, Bastien 12 Meiners, Matthias 11 Aidekon, Elie E. F. 11 Barral, Julien 10 Bertoin, Jean 10 Hu, Yueyun 10 Iksanov, Aleksander M. 10 Olvera-Cravioto, Mariana 10 Shi, Zhan 9 Buraczewski, Dariusz 8 Chen, Xinxin 8 Gao, Zhiqiang 8 Harris, Simon C. 7 Alsmeyer, Gerold 7 Durrett, Richard Timothy 7 Maillard, Pascal 7 Ren, Yanxia 6 Attia, Najmeddine 6 Huang, Chunmao 6 Jones, Owen Dafydd 6 Kolesko, Konrad 6 Rouault, Alain 5 Addario-Berry, Louigi 5 Bansaye, Vincent 5 Devroye, Luc P. J. A. 5 Gantert, Nina 5 Hambly, Ben M. 5 Rösler, Uwe 4 Bezborodov, Viktor 4 Chauvin, Brigitte 4 Cohn, Harry 4 Damek, Ewa 4 Di Persio, Luca 4 Engländer, János 4 Hong, Wenming 4 Jelenković, Predrag R. 4 Krüger, Tyll 4 Liang, Xingang 4 Mentemeier, Sebastian 4 Pakes, Anthony G. 4 Powell, Ellen 4 Wachtel, Vitali I. 4 Waymire, Edward C. 4 Zeitouni, Ofer 3 Andreoletti, Pierre 3 Broutin, Nicolas 3 Bulinskaya, Ekaterina Vladimirovna 3 Comets, Francis M. 3 Curien, Nicolas 3 Dyszewski, Piotr 3 Fleischmann, Klaus 3 Giacomin, Giambattista 3 Grabner, Peter J. 3 Gravner, Janko 3 Griffeath, David 3 Griffiths, Simon 3 Grübel, Rudolf 3 He, Hui 3 Janson, Svante 3 Kabluchko, Zakhar A. 3 Kersting, Götz-Dietrich 3 Kortchemski, Igor 3 Li, Yingqiu 3 Liu, Rongli 3 Louidor, Oren 3 Madaule, Thomas 3 Mandjes, Michel Robertus Hendrikus 3 Mörters, Peter 3 Palmowski, Zbigniew 3 Peres, Yuval 3 Pozdnyakov, Vladimir 3 Rhodes, Rémi 3 Shanbhag, Damodar N. 3 Song, Renming 3 Vargas, Vincent 3 Vatutin, Vladimir Alekseevich 3 Watson, Alexander R. 3 Webb, Christian 3 Zhang, Mei 3 Zhang, Xiaoyue 3 Zucca, Fabio 2 Alberts, Tom 2 Aldous, David John 2 Amini, Omid 2 Athreya, Krishna Balasundaram 2 Basdevant, Anne-Laure 2 Basrak, Bojan 2 Berestycki, Julien 2 Bertacchi, Daniela 2 Bhattacharya, Ayan 2 Bocharov, Sergey 2 Borovkov, Konstantin A. 2 Braunsteins, Peter 2 Caliebe, Amke 2 Chu, WeiJuan 2 Dascaliuc, Radu 2 de Raphélis, Loïc ...and 354 more Authors all top 5 Cited in 102 Serials 54 Stochastic Processes and their Applications 35 The Annals of Applied Probability 32 The Annals of Probability 28 Journal of Applied Probability 24 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 22 Probability Theory and Related Fields 18 Statistics & Probability Letters 18 Journal of Theoretical Probability 17 Advances in Applied Probability 13 Electronic Communications in Probability 11 Electronic Journal of Probability 11 Bernoulli 9 Journal of Statistical Physics 7 Communications in Mathematical Physics 6 Frontiers of Mathematics in China 5 Transactions of the American Mathematical Society 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Queueing Systems 4 Theory of Probability and its Applications 4 Annals of the Institute of Statistical Mathematics 4 Random Structures & Algorithms 4 Brazilian Journal of Probability and Statistics 3 Mathematical Biosciences 3 Combinatorics, Probability and Computing 3 Journal of Difference Equations and Applications 3 Stochastic Models 3 Proceedings of the Steklov Institute of Mathematics 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Science China. Mathematics 2 Acta Informatica 2 Journal of Mathematical Biology 2 Advances in Mathematics 2 Journal of Soviet Mathematics 2 Journal of Statistical Planning and Inference 2 Probability and Mathematical Statistics 2 Revista Matemática Iberoamericana 2 Mathematical and Computer Modelling 2 Science in China. Series A 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Metrika 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Arkiv för Matematik 1 The Annals of Statistics 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 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 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Theoretical Computer Science 1 Theoretical Population Biology 1 Advances in Applied Mathematics 1 Acta Applicandae Mathematicae 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 Communications in Statistics. Theory and Methods 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 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Stochastics and Dynamics 1 Analysis in Theory and Applications 1 Analysis and Applications (Singapore) 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Statistical Theory and Practice 1 Probability Surveys 1 Stochastic Systems 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Modern Stochastics. Theory and Applications ...and 2 more Serials all top 5 Cited in 33 Fields 422 Probability theory and stochastic processes (60-XX) 43 Statistical mechanics, structure of matter (82-XX) 40 Combinatorics (05-XX) 26 Measure and integration (28-XX) 25 Biology and other natural sciences (92-XX) 21 Statistics (62-XX) 21 Computer science (68-XX) 17 Partial differential equations (35-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Numerical analysis (65-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Number theory (11-XX) 5 Difference and functional equations (39-XX) 5 Operator theory (47-XX) 4 Information and communication theory, circuits (94-XX) 3 Operations research, mathematical programming (90-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Fluid mechanics (76-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 Potential theory (31-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