Edit Profile Hambly, Ben M. Compute Distance To: Compute Author ID: hambly.ben-m Published as: Hambly, B.; Hambly, B. M.; Hambly, Ben; Hambly, Ben M.; Hambly, Benjamin M. Documents Indexed: 76 Publications since 1992, including 2 Books all top 5 Co-Authors 8 single-authored 14 Kumagai, Takashi 7 Croydon, David A. 5 Jones, Owen Dafydd 4 Lyons, Terence John 4 O’Connell, Neil 3 Barlow, Martin T. 3 Kalsi, Jasdeep 3 Kolliopoulos, Nikolaos 3 Ledger, Sean 3 Martin, James Benedict 3 Yang, Weiye 2 Freiberg, Uta Renata 2 Metz, Volker 2 Reisinger, Christoph 2 Søjmark, Andreas 2 Stark, Dudley 1 Ahmad, F. Bani 1 Aleksandrov, N. D. 1 Andres, Sebastian 1 Bass, Richard F. 1 Biggins, J. D. 1 Bujok, K. 1 Bush, Nancy-Elizabeth 1 Charmoy, Philippe H. A. 1 Crisan, Dan O. 1 Decrouez, Geoffrey 1 Deuschel, Jean-Dominique 1 D’Souza, J. C. 1 Fitzsimmons, Patrick J. 1 Flint, Guy H. 1 Ganesh, Ayalvadi J. 1 Gyurkó, Lajos Gergely 1 Hattori, Kumiko 1 Hattori, Tetsuya 1 Haworth, Helen 1 Hinz, Michael 1 Howison, Sam D. 1 Hutchinson, John Edward 1 Jin, Lianwen 1 Jones, Lisa M. 1 Jones, Liza A. 1 Jordan, Jonathan H. 1 Keevash, Peter 1 Kersting, Götz-Dietrich 1 Kigami, Jun 1 Kluge, Tino 1 Kusuoka, Shigeo 1 Kyprianou, Andreas E. 1 Lapidus, Michel L. 1 Meinshausen, Nicolai 1 Newbury, James 1 Nyberg, S. O. G. 1 Teplyaev, Alexander 1 Upton, Paul J. 1 Vaicenavicius, Juozas 1 Winter, Steffen 1 Witte, Jan Hendrik 1 Zariphopoulou, Thaleia 1 Zhou, Xianyin all top 5 Serials 11 Stochastic Processes and their Applications 7 Electronic Journal of Probability 6 Probability Theory and Related Fields 4 Advances in Applied Probability 3 SIAM Journal on Financial Mathematics 2 Communications in Mathematical Physics 2 The Annals of Probability 2 Journal of Applied Probability 2 Transactions of the American Mathematical Society 2 The Annals of Applied Probability 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Potential Analysis 2 Finance and Stochastics 2 Mathematical Methods of Operations Research 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Canadian Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of Theoretical Probability 1 Mathematical and Computer Modelling 1 Fractals 1 Applied Mathematical Finance 1 Electronic Communications in Probability 1 Mathematical Finance 1 International Journal of Theoretical and Applied Finance 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Methodology and Computing in Applied Probability 1 Quantitative Finance 1 Progress in Probability 1 Springer Proceedings in Mathematics & Statistics 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Journal of Fractal Geometry all top 5 Fields 73 Probability theory and stochastic processes (60-XX) 26 Measure and integration (28-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Potential theory (31-XX) 9 Partial differential equations (35-XX) 8 Statistical mechanics, structure of matter (82-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Numerical analysis (65-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Operator theory (47-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 66 Publications have been cited 691 times in 495 Documents Cited by ▼ Year ▼ Transition density estimates for Brownian motion on affine nested fractals. Zbl 0853.60062Fitzsimmons, Pat J.; Hambly, Ben M.; Kumagai, Takashi 45 1994 Monte Carlo methods for the valuation of multiple-exercise options. Zbl 1169.91372Meinshausen, N.; Hambly, B. M. 42 2004 Transition density estimates for diffusion processes on post critically finite self-similar fractals. Zbl 1027.60087Hambly, B. M.; Kumagai, T. 40 1999 Uniqueness for the signature of a path of bounded variation and the reduced path group. Zbl 1276.58012Hambly, Ben; Lyons, Terry 28 2010 Invariance principle for the random conductance model. Zbl 1356.60174Andres, S.; Barlow, M. T.; Deuschel, J.-D.; Hambly, B. M. 26 2013 Parabolic Harnack inequality and local limit theorem for percolation clusters. Zbl 1192.60107Hambly, Ben M.; Barlow, Martin T. 24 2009 Brownian motion on a homogeneous fractal. Zbl 0767.60075Hambly, B. M. 24 1992 Brownian motion on a random recursive Sierpinski gasket. Zbl 0895.60081Hambly, B. M. 22 1997 Stochastic evolution equations in portfolio credit modelling. Zbl 1254.91740Bush, N.; Hambly, B. M.; Haworth, H.; Jin, L.; Reisinger, C. 18 2011 Modelling spikes and pricing swing options in electricity markets. Zbl 1182.91176Hambly, Ben; Howison, Sam; Kluge, Tino 18 2009 Transition density estimates for Brownian motion on scale irregular Sierpiński gaskets. Zbl 0903.60072Barlow, M. T.; Hambly, B. M. 18 1997 Extending the Wong-Zakai theorem to reversible Markov processes. Zbl 1010.60070Bass, R. F.; Hambly, B. M.; Lyons, T. J. 17 2002 The characteristic polynomial of a random permutation matrix. Zbl 1047.60013Hambly, B. M.; Keevash, P.; O’Connell, N.; Stark, D. 17 2000 Self-similar energies on post-critically finite self-similar fractals. Zbl 1103.31005Hambly, B. M.; Metz, V.; Teplyaev, A. 16 2006 Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometries. Zbl 1065.60041Hambly, Ben M.; Kumagai, Takashi 16 2004 Stochastic area for Brownian motion on the Sierpiński gasket. Zbl 0936.60073Hambly, B. M.; Lyons, T. J. 16 1998 On the limiting distribution of a supercritical branching process in a random environment. Zbl 0758.60089Hambly, Ben 16 1992 Diffusion processes on fractal fields: Heat kernel estimates and large deviations. Zbl 1035.60083Hambly, B. M.; Kumagai, T. 15 2003 Multilevel simulation of functionals of Bernoulli random variables with application to basket credit derivatives. Zbl 1327.65003Bujok, K.; Hambly, B. M.; Reisinger, C. 12 2015 Random fractal strings: their zeta functions, complex dimensions and spectral asymptotics. Zbl 1079.60019Hambly, B. M.; Lapidus, Michel L. 12 2006 Transition density estimates for diffusion processes on homogeneous random Sierpiński carpets. Zbl 0962.60078Hambly, Ben M.; Kumagai, Takashi; Kusuoka, Shigeo; Zhou, Xian Yin 12 2000 Local limit theorems for sequences of simple random walks on graphs. Zbl 1185.60087Croydon, D. A.; Hambly, B. M. 11 2008 On the asymptotics of the eigenvalue counting function for random recursive Sierpinski gaskets. Zbl 0954.35121Hambly, B. M. 11 2000 A dual approach to multiple exercise option problems under constraints. Zbl 1200.60034Aleksandrov, N.; Hambly, B. M. 10 2010 Diffusion on the scaling limit of the critical percolation cluster in the diamond hierarchical lattice. Zbl 1191.82024Hambly, B. M.; Kumagai, T. 10 2010 Heavy tails in last-passage percolation. Zbl 1112.60079Hambly, Ben; Martin, James B. 10 2007 A random hierarchical lattice: the series-parallel graph and its properties. Zbl 1064.60195Hambly, B. M.; Jordan, Jonathan 10 2004 Finitely ramified graph-directed fractals, spectral asymptotics and the multidimensional renewal theorem. Zbl 1038.35046Hambly, B. M.; Nyberg, S. O. G. 10 2003 Multifractal spectra for random self-similar measures via branching processes. Zbl 1223.28010Biggins, J. D.; Hambly, B. M.; Jones, O. D. 9 2011 Thick and thin points for random recursive fractals. Zbl 1032.60048Hambly, B. M.; Jones, O. D. 9 2003 A stochastic McKean-Vlasov equation for absorbing diffusions on the half-line. Zbl 1379.60068Hambly, Ben; Ledger, Sean 8 2017 Heat kernel estimates and homogenization for asymptotically lower dimensional processes on some nested fractals. Zbl 0910.60062Hambly, B. M.; Kumagai, T. 8 1998 On the survival probability of a branching process in a random environment. Zbl 0880.60086D’Souza, J. C.; Hambly, B. M. 8 1997 Asymptotics for functions associated with heat flow on the Sierpiński carpet. Zbl 1208.35012Hambly, B. M. 7 2011 Concentration results for a Brownian directed percolation problem. Zbl 1075.60562Hambly, B. M.; Martin, James B.; O’Connell, Neil 7 2002 Stochastic evolution equations for large portfolios of stochastic volatility models. Zbl 1407.91221Hambly, Ben; Kolliopoulos, Nikolaos 6 2017 Time-changes of stochastic processes associated with resistance forms. Zbl 1386.60264Croydon, David; Hambly, Ben; Kumagai, Takashi 6 2017 Discretely sampled signals and the rough Hoff process. Zbl 1348.60058Flint, Guy; Hambly, Ben; Lyons, Terry 6 2016 Self-similarity and spectral asymptotics for the continuum random tree. Zbl 1143.60012Croydon, David; Hambly, Ben 6 2008 Law of the iterated logarithm for oscillating random walks conditioned to stay non-negative. Zbl 1075.60525Hambly, B. M.; Kersting, G.; Kyprianou, A. E. 6 2003 On constant tail behaviour for the limiting random variable in a supercritical branching process. Zbl 0819.60076Hambly, B. M. 6 1995 Spectral asymptotics for \(V\)-variable Sierpinski gaskets. Zbl 1387.35434Freiberg, U.; Hambly, B. M.; Hutchinson, John E. 5 2017 Convergence of mixing times for sequences of random walks on finite graphs. Zbl 1244.05207Croydon, David A.; Hambly, Ben M.; Kumagai, Takashi 5 2012 Asymptotically one-dimensional diffusion on the Sierpiński gasket and multi-type branching processes with varying environment. Zbl 1003.60071Hambly, B. M.; Jones, O. D. 5 2002 Multifractal formalisms for the local spectral and walk dimensions. Zbl 1002.60064Hambly, B. M.; Kigami, Jun; Kumagai, Takashi 5 2002 Self-repelling walk on the Sierpiński gasket. Zbl 1017.60101Hambly, B. M.; Hattori, Kumiko; Hattori, Tetsuya 4 2002 Fluctuation of the transition density for Brownian motion on random recursive Sierpiński gaskets. Zbl 1047.60084Hambly, B. M.; Kumagai, Takashi 4 2001 Heat kernels and spectral asymptotics for some random Sierpinski gaskets. Zbl 0947.60086Hambly, B. M. 4 2000 The homogenization problem for Vicsek set. Zbl 0930.31005Hambly, B. M.; Metz, V. 4 1998 A McKean-Vlasov equation with positive feedback and blow-ups. Zbl 1423.35224Hambly, Ben; Ledger, Sean; Søjmark, Andreas 3 2019 An SPDE model for systemic risk with endogenous contagion. Zbl 07074031Hambly, Ben; Søjmark, Andreas 3 2019 The 3/2 model as a stochastic volatility approximation for a large-basket price-weighted index. Zbl 1337.91098Hambly, Ben; Vaicenavicius, Juozas 3 2015 Monte Carlo methods via a dual approach for some discrete time stochastic control problems. Zbl 1403.91372Gyurkó, Lajos Gergely; Hambly, Ben M.; Witte, Jan Hendrik 3 2015 Asymptotics for the spectral and walk dimension as fractals approach Euclidean space. Zbl 1075.28003Hambly, B. M.; Kumagai, T. 3 2002 Pitman’s \(2M-X\) theorem for skip-free random walks with Markovian increments. Zbl 0985.60070Hambly, B. M.; Martin, J. B.; O’Connell, Neil 3 2001 Modelling transport in disordered media via diffusion on fractals. Zbl 1042.60524Hambly, B.; Jones, O. D. 3 2000 Poissonian behavior of Ising spin systems in an external field. Zbl 0958.82008Ganesh, A.; Hambly, B. M.; O’Connell, Neil; Stark, Dudley; Upton, P. J. 3 2000 A reflected moving boundary problem driven by space-time white noise. Zbl 1431.60056Hambly, Ben; Kalsi, Jasdeep 2 2019 Degenerate limits for one-parameter families of non-fixed-point diffusions on fractals. Zbl 07036246Hambly, Ben; Yang, Weiye 2 2019 Spectral asymptotics for stable trees. Zbl 1236.60082Croydon, David A.; Hambly, Benjamin M. 2 2010 Number variance from a probabilistic perspective: infinite systems of independent Brownian motions and symmetric \(\alpha\)-stable processes. Zbl 1127.60046Hambly, Ben M.; Jones, Liza A. 2 2007 Erratum to: “Stochastic evolution equations for large portfolios of stochastic volatility models”. Zbl 07135140Hambly, Ben; Kolliopoulos, Nikolaos 1 2019 Heat kernel estimates for FIN processes associated with resistance forms. Zbl 1422.60129Croydon, D. A.; Hambly, B. M.; Kumagai, T. 1 2019 The Hausdorff spectrum of a class of multifractal processes. Zbl 1328.60194Decrouez, Geoffrey; Hambly, Ben; Jones, Owen Dafydd 1 2015 Erratum to “Number variance from a probabilistic perspective, infinite systems of independent Brownian motions and symmetric \(\alpha\)-stable processes”. Zbl 1196.60088Hambly, Ben M.; Jones, Lisa M. 1 2009 Heat kernel estimates and law of the iterated logarithm for symmetric random walks on fractal graphs. Zbl 1063.60101Hambly, Ben M.; Kumagai, Takashi 1 2004 A McKean-Vlasov equation with positive feedback and blow-ups. Zbl 1423.35224Hambly, Ben; Ledger, Sean; Søjmark, Andreas 3 2019 An SPDE model for systemic risk with endogenous contagion. Zbl 07074031Hambly, Ben; Søjmark, Andreas 3 2019 A reflected moving boundary problem driven by space-time white noise. Zbl 1431.60056Hambly, Ben; Kalsi, Jasdeep 2 2019 Degenerate limits for one-parameter families of non-fixed-point diffusions on fractals. Zbl 07036246Hambly, Ben; Yang, Weiye 2 2019 Erratum to: “Stochastic evolution equations for large portfolios of stochastic volatility models”. Zbl 07135140Hambly, Ben; Kolliopoulos, Nikolaos 1 2019 Heat kernel estimates for FIN processes associated with resistance forms. Zbl 1422.60129Croydon, D. A.; Hambly, B. M.; Kumagai, T. 1 2019 A stochastic McKean-Vlasov equation for absorbing diffusions on the half-line. Zbl 1379.60068Hambly, Ben; Ledger, Sean 8 2017 Stochastic evolution equations for large portfolios of stochastic volatility models. Zbl 1407.91221Hambly, Ben; Kolliopoulos, Nikolaos 6 2017 Time-changes of stochastic processes associated with resistance forms. Zbl 1386.60264Croydon, David; Hambly, Ben; Kumagai, Takashi 6 2017 Spectral asymptotics for \(V\)-variable Sierpinski gaskets. Zbl 1387.35434Freiberg, U.; Hambly, B. M.; Hutchinson, John E. 5 2017 Discretely sampled signals and the rough Hoff process. Zbl 1348.60058Flint, Guy; Hambly, Ben; Lyons, Terry 6 2016 Multilevel simulation of functionals of Bernoulli random variables with application to basket credit derivatives. Zbl 1327.65003Bujok, K.; Hambly, B. M.; Reisinger, C. 12 2015 The 3/2 model as a stochastic volatility approximation for a large-basket price-weighted index. Zbl 1337.91098Hambly, Ben; Vaicenavicius, Juozas 3 2015 Monte Carlo methods via a dual approach for some discrete time stochastic control problems. Zbl 1403.91372Gyurkó, Lajos Gergely; Hambly, Ben M.; Witte, Jan Hendrik 3 2015 The Hausdorff spectrum of a class of multifractal processes. Zbl 1328.60194Decrouez, Geoffrey; Hambly, Ben; Jones, Owen Dafydd 1 2015 Invariance principle for the random conductance model. Zbl 1356.60174Andres, S.; Barlow, M. T.; Deuschel, J.-D.; Hambly, B. M. 26 2013 Convergence of mixing times for sequences of random walks on finite graphs. Zbl 1244.05207Croydon, David A.; Hambly, Ben M.; Kumagai, Takashi 5 2012 Stochastic evolution equations in portfolio credit modelling. Zbl 1254.91740Bush, N.; Hambly, B. M.; Haworth, H.; Jin, L.; Reisinger, C. 18 2011 Multifractal spectra for random self-similar measures via branching processes. Zbl 1223.28010Biggins, J. D.; Hambly, B. M.; Jones, O. D. 9 2011 Asymptotics for functions associated with heat flow on the Sierpiński carpet. Zbl 1208.35012Hambly, B. M. 7 2011 Uniqueness for the signature of a path of bounded variation and the reduced path group. Zbl 1276.58012Hambly, Ben; Lyons, Terry 28 2010 A dual approach to multiple exercise option problems under constraints. Zbl 1200.60034Aleksandrov, N.; Hambly, B. M. 10 2010 Diffusion on the scaling limit of the critical percolation cluster in the diamond hierarchical lattice. Zbl 1191.82024Hambly, B. M.; Kumagai, T. 10 2010 Spectral asymptotics for stable trees. Zbl 1236.60082Croydon, David A.; Hambly, Benjamin M. 2 2010 Parabolic Harnack inequality and local limit theorem for percolation clusters. Zbl 1192.60107Hambly, Ben M.; Barlow, Martin T. 24 2009 Modelling spikes and pricing swing options in electricity markets. Zbl 1182.91176Hambly, Ben; Howison, Sam; Kluge, Tino 18 2009 Erratum to “Number variance from a probabilistic perspective, infinite systems of independent Brownian motions and symmetric \(\alpha\)-stable processes”. Zbl 1196.60088Hambly, Ben M.; Jones, Lisa M. 1 2009 Local limit theorems for sequences of simple random walks on graphs. Zbl 1185.60087Croydon, D. A.; Hambly, B. M. 11 2008 Self-similarity and spectral asymptotics for the continuum random tree. Zbl 1143.60012Croydon, David; Hambly, Ben 6 2008 Heavy tails in last-passage percolation. Zbl 1112.60079Hambly, Ben; Martin, James B. 10 2007 Number variance from a probabilistic perspective: infinite systems of independent Brownian motions and symmetric \(\alpha\)-stable processes. Zbl 1127.60046Hambly, Ben M.; Jones, Liza A. 2 2007 Self-similar energies on post-critically finite self-similar fractals. Zbl 1103.31005Hambly, B. M.; Metz, V.; Teplyaev, A. 16 2006 Random fractal strings: their zeta functions, complex dimensions and spectral asymptotics. Zbl 1079.60019Hambly, B. M.; Lapidus, Michel L. 12 2006 Monte Carlo methods for the valuation of multiple-exercise options. Zbl 1169.91372Meinshausen, N.; Hambly, B. M. 42 2004 Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometries. Zbl 1065.60041Hambly, Ben M.; Kumagai, Takashi 16 2004 A random hierarchical lattice: the series-parallel graph and its properties. Zbl 1064.60195Hambly, B. M.; Jordan, Jonathan 10 2004 Heat kernel estimates and law of the iterated logarithm for symmetric random walks on fractal graphs. Zbl 1063.60101Hambly, Ben M.; Kumagai, Takashi 1 2004 Diffusion processes on fractal fields: Heat kernel estimates and large deviations. Zbl 1035.60083Hambly, B. M.; Kumagai, T. 15 2003 Finitely ramified graph-directed fractals, spectral asymptotics and the multidimensional renewal theorem. Zbl 1038.35046Hambly, B. M.; Nyberg, S. O. G. 10 2003 Thick and thin points for random recursive fractals. Zbl 1032.60048Hambly, B. M.; Jones, O. D. 9 2003 Law of the iterated logarithm for oscillating random walks conditioned to stay non-negative. Zbl 1075.60525Hambly, B. M.; Kersting, G.; Kyprianou, A. E. 6 2003 Extending the Wong-Zakai theorem to reversible Markov processes. Zbl 1010.60070Bass, R. F.; Hambly, B. M.; Lyons, T. J. 17 2002 Concentration results for a Brownian directed percolation problem. Zbl 1075.60562Hambly, B. M.; Martin, James B.; O’Connell, Neil 7 2002 Asymptotically one-dimensional diffusion on the Sierpiński gasket and multi-type branching processes with varying environment. Zbl 1003.60071Hambly, B. M.; Jones, O. D. 5 2002 Multifractal formalisms for the local spectral and walk dimensions. Zbl 1002.60064Hambly, B. M.; Kigami, Jun; Kumagai, Takashi 5 2002 Self-repelling walk on the Sierpiński gasket. Zbl 1017.60101Hambly, B. M.; Hattori, Kumiko; Hattori, Tetsuya 4 2002 Asymptotics for the spectral and walk dimension as fractals approach Euclidean space. Zbl 1075.28003Hambly, B. M.; Kumagai, T. 3 2002 Fluctuation of the transition density for Brownian motion on random recursive Sierpiński gaskets. Zbl 1047.60084Hambly, B. M.; Kumagai, Takashi 4 2001 Pitman’s \(2M-X\) theorem for skip-free random walks with Markovian increments. Zbl 0985.60070Hambly, B. M.; Martin, J. B.; O’Connell, Neil 3 2001 The characteristic polynomial of a random permutation matrix. Zbl 1047.60013Hambly, B. M.; Keevash, P.; O’Connell, N.; Stark, D. 17 2000 Transition density estimates for diffusion processes on homogeneous random Sierpiński carpets. Zbl 0962.60078Hambly, Ben M.; Kumagai, Takashi; Kusuoka, Shigeo; Zhou, Xian Yin 12 2000 On the asymptotics of the eigenvalue counting function for random recursive Sierpinski gaskets. Zbl 0954.35121Hambly, B. M. 11 2000 Heat kernels and spectral asymptotics for some random Sierpinski gaskets. Zbl 0947.60086Hambly, B. M. 4 2000 Modelling transport in disordered media via diffusion on fractals. Zbl 1042.60524Hambly, B.; Jones, O. D. 3 2000 Poissonian behavior of Ising spin systems in an external field. Zbl 0958.82008Ganesh, A.; Hambly, B. M.; O’Connell, Neil; Stark, Dudley; Upton, P. J. 3 2000 Transition density estimates for diffusion processes on post critically finite self-similar fractals. Zbl 1027.60087Hambly, B. M.; Kumagai, T. 40 1999 Stochastic area for Brownian motion on the Sierpiński gasket. Zbl 0936.60073Hambly, B. M.; Lyons, T. J. 16 1998 Heat kernel estimates and homogenization for asymptotically lower dimensional processes on some nested fractals. Zbl 0910.60062Hambly, B. M.; Kumagai, T. 8 1998 The homogenization problem for Vicsek set. Zbl 0930.31005Hambly, B. M.; Metz, V. 4 1998 Brownian motion on a random recursive Sierpinski gasket. Zbl 0895.60081Hambly, B. M. 22 1997 Transition density estimates for Brownian motion on scale irregular Sierpiński gaskets. Zbl 0903.60072Barlow, M. T.; Hambly, B. M. 18 1997 On the survival probability of a branching process in a random environment. Zbl 0880.60086D’Souza, J. C.; Hambly, B. M. 8 1997 On constant tail behaviour for the limiting random variable in a supercritical branching process. Zbl 0819.60076Hambly, B. M. 6 1995 Transition density estimates for Brownian motion on affine nested fractals. Zbl 0853.60062Fitzsimmons, Pat J.; Hambly, Ben M.; Kumagai, Takashi 45 1994 Brownian motion on a homogeneous fractal. Zbl 0767.60075Hambly, B. M. 24 1992 On the limiting distribution of a supercritical branching process in a random environment. Zbl 0758.60089Hambly, Ben 16 1992 all cited Publications top 5 cited Publications all top 5 Cited by 578 Authors 31 Hambly, Ben M. 21 Kumagai, Takashi 13 Croydon, David A. 13 Hu, Jiaxin 13 Teplyaev, Alexander 12 Lapidus, Michel L. 12 Lyons, Terence John 11 Grigor’yan, Alexander Asaturovich 10 Andres, Sebastian 10 Barlow, Martin T. 10 Deuschel, Jean-Dominique 10 Strichartz, Robert S. 9 Boedihardjo, Horatio 8 Geng, Xi 8 Jones, Owen Dafydd 8 Rogers, Luke G. 7 Friz, Peter Karl 7 Lau, Kasing 7 Qian, Zhongmin M. 7 Spiliopoulos, Konstantinos V. 6 Attia, Najmeddine 6 Kajino, Naotaka 6 Slowik, Martin 6 Telcs, András 5 Chen, Zhen-Qing 5 Giles, Michael B. 5 Hinz, Michael 5 Liu, Quansheng 5 Metz, Volker 5 Zähle, Martina 4 Alonso-Ruiz, Patricia 4 Bender, Christian 4 Chevyrev, Ilya 4 Freiberg, Uta Renata 4 Hino, Masanori 4 Ionescu, Marius V. 4 Manstavičius, Eugenijus 4 Martin, James Benedict 4 Murugan, Mathav Kishore 4 Pagès, Gilles 4 Peirone, Roberto 4 Reisinger, Christoph 4 Schoenmakers, John G. M. 4 Sirignano, Justin A. 4 Unterberger, Jérémie M. 4 Vatutin, Vladimir Alekseevich 4 Wang, Jian 4 Zeindler, Dirk 3 Anh, Vo V. 3 Barnsley, Michael Fielding 3 Clark, Jeremy Thane 3 Coupier, David 3 Dokuchaev, Nikolai G. 3 Giesecke, Kay 3 Goda, Takashi 3 Gu, Qingsong 3 Hattori, Kumiko 3 Huang, Chunmao 3 Hutchinson, John Edward 3 Jørgensen, Palle E. T. 3 Kalsi, Jasdeep 3 Kolliopoulos, Nikolaos 3 Lancia, Maria Rosaria 3 Lejay, Antoine 3 Lemaire, Vincent 3 Leung, Tim 3 Mahmoud, Hosam M. 3 Mourrat, Jean-Christophe 3 Ngai, Sze-Man 3 Radunović, Goran 3 Ruiz-Medina, María Dolores 3 Victoir, Nicolas B. 3 Yang, Danyu 3 Zheng, Xinghua 3 Žubrinić, Darko 2 Alberts, Tom 2 Angulo, José Miguel 2 Bahier, Valentin 2 Bansaye, Vincent 2 Bardou, Olivier 2 Bass, Richard F. 2 Ben Arous, Gérard 2 Biskup, Marek 2 Böinghoff, Christian 2 Bouthemy, Sandrine 2 Burdzy, Krzysztof 2 Cao, Shiping 2 Capitanelli, Raffaela 2 Cartea, Álvaro 2 Chafaï, Djalil 2 Chiarini, Alberto 2 Christensen, Soren 2 Comets, Francis M. 2 Cristea, Ligia-Loretta 2 Dai, Min 2 Decrouez, Geoffrey 2 Duquesne, Thomas 2 Economou, Antonis 2 Evans, Steven Neil 2 Gill, James T. ...and 478 more Authors all top 5 Cited in 144 Serials 41 Stochastic Processes and their Applications 28 Journal of Functional Analysis 27 Probability Theory and Related Fields 21 Transactions of the American Mathematical Society 20 The Annals of Probability 13 The Annals of Applied Probability 13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 10 Communications in Mathematical Physics 10 Potential Analysis 9 Applied Mathematical Finance 8 Journal of Statistical Physics 8 Journal of Theoretical Probability 8 Electronic Journal of Probability 8 International Journal of Theoretical and Applied Finance 7 Forum Mathematicum 6 Advances in Applied Probability 6 Journal of Mathematical Physics 6 Advances in Mathematics 6 Mathematical Finance 5 Journal of Mathematical Analysis and Applications 5 Journal of Applied Probability 5 Stochastic Analysis and Applications 5 Bernoulli 5 SIAM Journal on Financial Mathematics 4 Journal d’Analyse Mathématique 4 Journal of Differential Equations 4 Revista Matemática Iberoamericana 4 European Journal of Operational Research 4 Fractals 4 Finance and Stochastics 4 Quantitative Finance 4 Communications on Pure and Applied Analysis 4 SIAM/ASA Journal on Uncertainty Quantification 3 Communications on Pure and Applied Mathematics 3 Annales de l’Institut Fourier 3 Journal of the Mathematical Society of Japan 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Zeitschrift für Analysis und ihre Anwendungen 3 Statistics & Probability Letters 3 Operations Research Letters 3 Acta Applicandae Mathematicae 3 Journal of Economic Dynamics & Control 3 Queueing Systems 3 Mathematical Methods of Operations Research 3 Probability in the Engineering and Informational Sciences 3 Methodology and Computing in Applied Probability 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Stochastic and Partial Differential Equations. Analysis and Computations 3 Journal of Fractal Geometry 2 Journal of Mathematical Biology 2 Letters in Mathematical Physics 2 Lithuanian Mathematical Journal 2 Theory of Probability and its Applications 2 Automatica 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Topology and its Applications 2 Probability and Mathematical Statistics 2 Science in China. Series A 2 Annals of Operations Research 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Monte Carlo Methods and Applications 2 Electronic Communications in Probability 2 Discrete and Continuous Dynamical Systems 2 The Journal of Fourier Analysis and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Annals of Mathematics. Second Series 2 Annales Henri Poincaré 2 Stochastic Models 2 Proceedings of the Steklov Institute of Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 2 Statistics and Computing 2 Annals of Finance 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Metrika 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Beiträge zur Algebra und Geometrie 1 Applied Mathematics and Optimization 1 BIT 1 Calcolo 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Multivariate Analysis 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematics of Operations Research 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Revista de la Unión Matemática Argentina 1 SIAM Journal on Control and Optimization 1 Ergodic Theory and Dynamical Systems 1 Insurance Mathematics & Economics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire ...and 44 more Serials all top 5 Cited in 49 Fields 351 Probability theory and stochastic processes (60-XX) 123 Measure and integration (28-XX) 79 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 62 Partial differential equations (35-XX) 61 Potential theory (31-XX) 55 Statistical mechanics, structure of matter (82-XX) 33 Operator theory (47-XX) 30 Numerical analysis (65-XX) 26 Functional analysis (46-XX) 25 Combinatorics (05-XX) 25 Statistics (62-XX) 18 Number theory (11-XX) 17 Global analysis, analysis on manifolds (58-XX) 17 Operations research, mathematical programming (90-XX) 14 Quantum theory (81-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Ordinary differential equations (34-XX) 10 Real functions (26-XX) 10 Systems theory; control (93-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Functions of a complex variable (30-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Biology and other natural sciences (92-XX) 6 Difference and functional equations (39-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Differential geometry (53-XX) 6 General topology (54-XX) 5 Group theory and generalizations (20-XX) 4 Convex and discrete geometry (52-XX) 4 Computer science (68-XX) 3 Nonassociative rings and algebras (17-XX) 3 Approximations and expansions (41-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral equations (45-XX) 3 Geometry (51-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Information and communication theory, circuits (94-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year