## Aldous, David John

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 Author ID: aldous.david-j Published as: Aldous, David; Aldous, David J.; Aldous, D. J.; Aldous, D. more...less Homepage: https://www.stat.berkeley.edu/~aldous/ External Links: MGP · ORCID · Wikidata · Google Scholar · GND · IdRef
 Documents Indexed: 163 Publications since 1976, including 1 Book 3 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 59 Co-Authors with 72 Joint Publications 2,243 Co-Co-Authors
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### Co-Authors

 95 single-authored 14 Pitman, Jim William 7 Diaconis, Persi Warren 3 Lyons, Russell 3 Miermont, Grégory 3 Steele, J. Michael 2 Bandyopadhyay, Antar 2 Bhamidi, Shankar 2 Bordenave, Charles 2 Brown, Mark 2 Krikun, Maxim 2 Lanoue, Daniel Parmet 2 Lelarge, Marc 2 Popovic, Lea 1 Barlow, Martin T. 1 Caputo, Pietro 1 Cruz, Madelyn 1 Durrett, Richard Timothy 1 Eagleson, G. K. 1 Evans, Steven Neil 1 Flannery, Barry 1 Fremlin, David H. 1 Fristedt, Bert E. 1 Ganesan, Karthik 1 Griffin, Philip S. 1 Han, Weijian 1 Hofri, Micha 1 Holroyd, Alexander E. 1 Jung, Paul H. 1 Kendall, Wilfrid S. 1 Kolesnik, Brett 1 Krebs, William B. 1 Lando, Tamar 1 Larget, Bret R. 1 Li, Xiang 1 Limic, Vlada 1 Lovász, László 1 McDiarmid, Colin J. H. 1 Miyazawa, Masakiyo 1 Ong, Jun Rong 1 Palacios, Jose Luis 1 Pemantle, Robin 1 Percus, Allon G. 1 Pittel, Boris G. 1 Propp, James Gary 1 Pruitt, William E. 1 Puha, Amber L. 1 Rolski, Tomasz 1 Ross, Nathan 1 Salez, Justin 1 Scott, Alexander D. 1 Shepp, Lawrence Alan 1 Shields, Paul C. 1 Shkolnikov, Mykhaylo 1 Shun, Julian 1 Spencer, Joel H. 1 Szpankowski, Wojciech 1 Thorisson, Hermann 1 Vazirani, Umesh V. 1 Winkler, Peter M.
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### Serials

 12 The Annals of Probability 9 Probability Theory and Related Fields 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Electronic Journal of Probability 7 Random Structures & Algorithms 7 Stochastic Processes and their Applications 6 Statistical Science 5 American Mathematical Monthly 5 Probability in the Engineering and Informational Sciences 4 Journal of Theoretical Probability 4 Electronic Communications in Probability 3 Advances in Applied Probability 3 Journal of Statistical Physics 3 Journal of Applied Probability 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Bulletin of the American Mathematical Society. New Series 3 Combinatorics, Probability and Computing 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Journal of the London Mathematical Society. Second Series 2 SIAM Journal on Computing 2 Statistics & Probability Letters 2 SIAM Journal on Discrete Mathematics 2 The Annals of Applied Probability 2 Proceedings of the National Academy of Sciences of the United States of America 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Bernoulli 2 The IMA Volumes in Mathematics and its Applications 1 The American Statistician 1 Discrete Mathematics 1 IEEE Transactions on Information Theory 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Studia Mathematica 1 The Mathematical Intelligencer 1 Journal of Multivariate Analysis 1 Mathematics of Operations Research 1 The Mathematical Scientist 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Operations Research Letters 1 Probability and Mathematical Statistics 1 Communications in Statistics. Stochastic Models 1 Algorithmica 1 Information and Computation 1 Journal of Physics A: Mathematical and General 1 Notices of the American Mathematical Society 1 Electronic Research Announcements of the American Mathematical Society 1 Documenta Mathematica 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the American Mathematical Society 1 Applied Mathematical Sciences 1 DIMACS. Series in Discrete Mathematics and Theoretical Computer Science 1 Journal of Physics A: Mathematical and Theoretical 1 Involve 1 Probability Surveys 1 Stochastic Systems 1 Electronic Journal of Graph Theory and Applications
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### Fields

 147 Probability theory and stochastic processes (60-XX) 45 Combinatorics (05-XX) 14 Statistics (62-XX) 14 Computer science (68-XX) 14 Operations research, mathematical programming (90-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 General and overarching topics; collections (00-XX) 5 Biology and other natural sciences (92-XX) 4 Functional analysis (46-XX) 3 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Information and communication theory, circuits (94-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

135 Publications have been cited 3,992 times in 2,849 Documents Cited by Year
The continuum random tree. III. Zbl 0791.60009
Aldous, David
1993
Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists. Zbl 0930.60096
Aldous, David J.
1999
Exchangeability and related topics. Zbl 0562.60042
Aldous, David J.
1985
Processes on unimodular random networks. Zbl 1131.60003
Aldous, David J.; Lyons, Russell
2007
The continuum random tree. I. Zbl 0722.60013
Aldous, David
1991
Stopping times and tightness. Zbl 0391.60007
Aldous, David
1978
Shuffling cards and stopping times. Zbl 0603.60006
Aldous, David; Diaconis, Persi
1986
The continuum random tree. II: An overview. Zbl 0791.60008
Aldous, David
1991
Probability approximations via the Poisson clumping heuristic. Zbl 0679.60013
Aldous, David
1989
Representations for partially exchangeable arrays of random variables. Zbl 0474.60044
Aldous, David J.
1981
On mixing and stability of limit theorems. Zbl 0376.60026
Aldous, D. J.; Eagleson, G. K.
1978
The objective method: Probabilistic combinatorial optimization and local weak convergence. Zbl 1037.60008
Aldous, David; Steele, J. Michael
2004
Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem. Zbl 0937.60001
Aldous, David; Diaconis, Persi
1999
Strong uniform times and finite random walks. Zbl 0631.60065
Aldous, David; Diaconis, Persi
1987
Brownian excursions, critical random graphs and the multiplicative coalescent. Zbl 0877.60010
Aldous, David
1997
A survey of max-type recursive distributional equations. Zbl 1105.60012
2005
Probability distributions on cladograms. Zbl 0841.92015
Aldous, David
1996
Hammersley’s interacting particle process and longest increasing subsequences. Zbl 0836.60107
Aldous, D.; Diaconis, P.
1995
The $$\zeta(2)$$ limit in the random assignment problem. Zbl 0993.60018
Aldous, David J.
2001
Random walks on finite groups and rapidly mixing Markov chains. Zbl 0514.60067
Aldous, David
1983
Asymptotic fringe distributions for general families of random trees. Zbl 0733.60016
Aldous, David
1991
Stochastic models and descriptive statistics for phylogenetic trees, from Yule to today. Zbl 1127.60313
Aldous, David J.
2001
The standard additive coalescent. Zbl 0936.60064
Aldous, David; Pitman, Jim
1998
The random walk construction of uniform spanning trees and uniform labelled trees. Zbl 0717.05028
Aldous, David J.
1990
Asymptotics for Euclidean minimal spanning trees on random points. Zbl 0767.60005
Aldous, David; Steele, J. Michael
1992
Tree-valued Markov chains derived from Galton-Watson processes. Zbl 0917.60082
Aldous, David; Pitman, Jim
1998
The asymmetric one-dimensional constrained Ising model: Rigorous results. Zbl 1006.60095
Aldous, David; Diaconis, Persi
2002
A critical branching process model for biodiversity. Zbl 1099.92053
Aldous, David; Popovic, Lea
2005
Asymptotics in the random assignment problem. Zbl 0767.60006
Aldous, David
1992
The least variable phase type distribution is Erlang. Zbl 0635.60086
Aldous, David; Shepp, Larry
1987
Lower bounds for covering times for reversible Markov chains and random walks on graphs. Zbl 0684.60055
Aldous, David J.
1989
Some inequalities for reversible Markov chains. Zbl 0489.60077
Aldous, David J.
1982
Limit theorems for subsequences of arbitrarily-dependent sequences of random variables. Zbl 0571.60027
Aldous, D. J.
1977
Tree-based models for random distribution of mass. Zbl 1102.60318
Aldous, David
1993
Brownian bridge asymptotics for random mappings. Zbl 0811.60057
Aldous, David J.; Pitman, Jim
1994
Threshold limits for cover times. Zbl 0717.60082
Aldous, David J.
1991
Recursive self-similarity for random trees, random triangulations and Brownian excursion. Zbl 0808.60017
Aldous, David
1994
The entrance boundary of the multiplicative coalescent. Zbl 0889.60080
1998
Minimization algorithms and random walk on the d-cube. Zbl 0513.60068
Aldous, David
1983
On the Markov chain simulation method for uniform combinatorial distributions and simulated annealing. Zbl 1133.60327
Aldous, David
1987
Two applications of urn processes: the fringe analysis of search trees and the simulation of quasi-stationary distributions of Markov chains. Zbl 1134.68592
Aldous, David; Flannery, Barry; Palacios, José Luis
1988
Shift-coupling. Zbl 0769.60062
Aldous, David J.; Thorisson, Hermann
1993
Triangulating the circle, at random. Zbl 0804.52011
Aldous, David
1994
On the time taken by random walks on finite groups to visit every state. Zbl 0488.60011
Aldous, David J.
1983
Subspaces of $$L^ 1,$$ via random measures. Zbl 0474.46007
Aldous, David J.
1981
Inequalities for rare events in time-reversible Markov chains. II. Zbl 0812.60054
Aldous, David J.; Brown, Mark
1993
Hitting times for random walks on vertex-transitive graphs. Zbl 0668.05043
Aldous, David
1989
An introduction to covering problems for random walks on graphs. Zbl 0684.60054
Aldous, David
1989
Random walk covering of some special trees. Zbl 0733.60092
Aldous, David J.
1991
A random tree model associated with random graphs. Zbl 0747.05077
Aldous, David
1990
A diffusion limit for a class of randomly-growing binary trees. Zbl 0641.60026
Aldous, David; Shields, Paul
1988
Stopping times and tightness. II. Zbl 0686.60036
Aldous, David
1989
The percolation process on a tree where inifinite clusters are frozen. Zbl 0961.60096
Aldous, David J.
2000
Connected spatial networks over random points and a route-length statistic. Zbl 1329.60009
Aldous, David J.; Shun, Julian
2010
Unconditional bases and martingales in $$L_p(F)$$. Zbl 0389.46027
Aldous, D. J.
1979
Markov chains with almost exponential hitting times. Zbl 0491.60077
Aldous, David J.
1982
Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent. Zbl 0969.60015
Aldous, David; Pitman, Jim
2000
Some interesting processes arising as heavy traffic limits in an M/M/$$\infty$$ storage process. Zbl 0607.60086
Aldous, David
1986
Inequalities for rare events in time-reversible Markov chains. I. Zbl 1400.60096
Aldous, David J.; Brown, Mark
1992
Mixing times for uniformly ergodic Markov chains. Zbl 0941.60080
Aldous, David; Lovász, László; Winkler, Peter
1997
The exploration process of inhomogeneous continuum random trees, and an extension of Jeulin’s local time identity. Zbl 1056.60011
Aldous, David; Miermont, Grégory; Pitman, Jim
2004
Short-length routes in low-cost networks via Poisson line patterns. Zbl 1167.60004
Aldous, David J.; Kendall, Wilfrid S.
2008
Interacting particle systems as stochastic social dynamics. Zbl 1278.60141
Aldous, David
2013
Meeting times for independent Markov chains. Zbl 0737.60061
Aldous, David J.
1991
Ultimate instability of exponential back-off protocol for acknowledgment- based transmission control of random access communication channels. Zbl 0626.94001
Aldous, David J.
1987
Mixing time for a Markov chain on cladograms. Zbl 0961.60077
Aldous, David J.
2000
On a random graph with immigrating vertices: Emergence of the giant component. Zbl 0964.05061
Aldous, David J.; Pittel, Boris
2000
Dirichlet forms on totally disconnected spaces and bipartite Markov chains. Zbl 0945.60064
Aldous, David; Evans, Steven N.
1999
More uses of exchangeability: representations of complex random structures. Zbl 1213.60068
Aldous, David J.
2010
On the zero-one law for exchangeable events. Zbl 0414.60042
Aldous, David; Pitman, Jim
1979
Brownian bridge asymptotics for random $$p$$-mappings. Zbl 1064.60012
Aldous, David; Miermont, Grégory; Pitman, Jim
2004
Weak convergence of randomly indexed sequences of random variables. Zbl 0372.60032
Aldous, D. J.
1978
A family of random trees with random edge lengths. Zbl 0934.05117
Aldous, David; Pitman, Jim
1999
Colacunary sequences in L-spaces. Zbl 0511.46013
Aldous, D. J.; Fremlin, D. H.
1982
A lecture on the averaging process. Zbl 1245.60088
Aldous, David; Lanoue, Daniel
2012
Edge flows in the complete random-lengths network. Zbl 1209.05115
Aldous, David J.; Bhamidi, Shankar
2010
Brownian excursion conditioned on its local time. Zbl 0914.60049
Aldous, David J.
1998
Scaling and universality in continuous length combinatorial optimization. Zbl 1063.90041
Aldous, David; Percus, Allon G.
2003
Exchangeability and continuum limits of discrete random structures. Zbl 1229.60040
Aldous, David J.
2011
Emergence of the giant component in special Marcus-Lushnikov processes. Zbl 1002.60564
Aldous, David
1998
Self-intersections of 1-dimensional random walks. Zbl 0602.60055
Aldous, David J.
1986
When knowing early matters: gossip, percolation and Nash equilibria. Zbl 1270.60112
Aldous, David J.
2013
Stochastic models for phylogenetic trees on higher-order taxa. Zbl 1141.92027
Aldous, David; Krikun, Maxim; Popovic, Lea
2008
Scale-invariant random spatial networks. Zbl 1305.90104
Aldous, David
2014
The number of extreme points in the convex hull of a random sample. Zbl 0742.60012
Aldous, David J.; Fristedt, Bert; Griffin, Philip S.; Pruitt, William E.
1991
Greedy search on the binary tree with random edge-weights. Zbl 0803.68025
Aldous, David
1992
Two recursive decompositions of Brownian bridge related to the asymptotics of random mappings. Zbl 1124.60012
Aldous, David; Pitman, Jim
2006
The ‘birth-and-assassination’ process. Zbl 0712.60090
Aldous, David; Krebs, William B.
1990
True scale-invariant random spatial networks. Zbl 1292.60014
Aldous, David; Ganesan, Karthik
2013
Tree-valued Markov chains and Poisson-Galton-Watson distributions. Zbl 0913.60067
Aldous, David
1998
A Metropolis-type optimization algorithm on the infinite tree. Zbl 0936.68118
Aldous, D.
1998
The asymptotic speed and shape of a particle system. Zbl 0501.60099
Aldous, David; Pitman, Jim
1983
A Markovian extension of Valiant’s learning model. Zbl 0826.68052
Aldous, David; Vazirani, Umesh
1995
Applications of random walks on finite graphs. Zbl 0769.60064
Aldous, David
1991
Percolation-like scaling exponents for minimal paths and trees in the stochastic mean field model. Zbl 1145.82325
Aldous, David J.
2005
Uniform multicommodity flow through the complete graph with random edge-capacities. Zbl 1227.05158
Aldous, David J.; McDiarmid, Colin; Scott, Alex
2009
A characterisation of Hilbert space using the central limit theorem. Zbl 0341.60006
Aldous, David J.
1976
Weak convergence of random p-mappings and the exploration process of inhomogeneous continuum random trees. Zbl 1078.60006
Aldous, David; Miermont, Grégory; Pitman, Jim
2005
Elo ratings and the sports model: a neglected topic in applied probability? Zbl 1383.60057
Aldous, David
2017
Maximum size of a dynamic data structure: Hashing with lazy deletion revisited. Zbl 0825.68338
Aldous, David; Hofri, Micha; Szpankowski, Wojciech
1992
Book review of: D. A. Levin et al., Markov chains and mixing times. 2nd edition. Zbl 1409.00011
Aldous, David
2019
Second errata to: “Processes on unimodular random networks”. Zbl 1412.60018
Aldous, David; Lyons, Russell
2019
Random partitions of the plane via Poissonian coloring and a self-similar process of coalescing planar partitions. Zbl 1430.60018
Aldous, David
2018
Elo ratings and the sports model: a neglected topic in applied probability? Zbl 1383.60057
Aldous, David
2017
Waves in a spatial queue. Zbl 1364.60108
Aldous, David
2017
Introducing Nash equilibria via an online casual game that people actually play. Zbl 1394.91013
Aldous, David; Han, Weijian
2017
The incipient giant component in bond percolation on general finite weighted graphs. Zbl 1348.60136
Aldous, David
2016
Weak concentration for first passage percolation times on graphs and general increasing set-valued processes. Zbl 1350.60098
Aldous, David J.
2016
The compulsive gambler process. Zbl 1335.60141
Aldous, David; Lanoue, Daniel; Salez, Justin
2015
The stretch-length tradeoff in geometric networks: average case and worst case study. Zbl 1371.60085
Aldous, David; Lando, Tamar
2015
Scale-invariant random spatial networks. Zbl 1305.90104
Aldous, David
2014
Interacting particle systems as stochastic social dynamics. Zbl 1278.60141
Aldous, David
2013
When knowing early matters: gossip, percolation and Nash equilibria. Zbl 1270.60112
Aldous, David J.
2013
True scale-invariant random spatial networks. Zbl 1292.60014
Aldous, David; Ganesan, Karthik
2013
Using prediction market data to illustrate undergraduate probability. Zbl 1280.91136
Aldous, David J.
2013
Another conversation with Persi Diaconis. Zbl 1331.60004
Aldous, David
2013
A lecture on the averaging process. Zbl 1245.60088
Aldous, David; Lanoue, Daniel
2012
Exchangeability and continuum limits of discrete random structures. Zbl 1229.60040
Aldous, David J.
2011
Connected spatial networks over random points and a route-length statistic. Zbl 1329.60009
Aldous, David J.; Shun, Julian
2010
More uses of exchangeability: representations of complex random structures. Zbl 1213.60068
Aldous, David J.
2010
Edge flows in the complete random-lengths network. Zbl 1209.05115
Aldous, David J.; Bhamidi, Shankar
2010
Empires and percolation: stochastic merging of adjacent regions. Zbl 1183.82033
Aldous, D. J.; Ong, J. R.; Zhou, W.
2010
Uniform multicommodity flow through the complete graph with random edge-capacities. Zbl 1227.05158
Aldous, David J.; McDiarmid, Colin; Scott, Alex
2009
Dynamic programming optimization over random data: the scaling exponent for near-optimal solutions. Zbl 1193.68123
Aldous, David J.; Bordenave, Charles; Lelarge, Marc
2009
Short-length routes in low-cost networks via Poisson line patterns. Zbl 1167.60004
Aldous, David J.; Kendall, Wilfrid S.
2008
Stochastic models for phylogenetic trees on higher-order taxa. Zbl 1141.92027
Aldous, David; Krikun, Maxim; Popovic, Lea
2008
Cost-volume relationship for flows through a disordered network. Zbl 1231.90112
Aldous, David J.
2008
Near-minimal spanning trees: A scaling exponent in probability models. Zbl 1186.05108
Aldous, David J.; Bordenave, Charles; LeLarge, Marc
2008
Spatial transportation networks with transfer costs: Asymptotic optimality of hub-and-spoke models. Zbl 1151.90004
Aldous, David J.
2008
Processes on unimodular random networks. Zbl 1131.60003
Aldous, David J.; Lyons, Russell
2007
Optimal flow through the disordered lattice. Zbl 1154.90003
Aldous, David
2007
Two recursive decompositions of Brownian bridge related to the asymptotics of random mappings. Zbl 1124.60012
Aldous, David; Pitman, Jim
2006
Percolating paths through random points. Zbl 1122.60084
Aldous, David J.; Krikun, Maxim
2006
A survey of max-type recursive distributional equations. Zbl 1105.60012
2005
A critical branching process model for biodiversity. Zbl 1099.92053
Aldous, David; Popovic, Lea
2005
Percolation-like scaling exponents for minimal paths and trees in the stochastic mean field model. Zbl 1145.82325
Aldous, David J.
2005
Weak convergence of random p-mappings and the exploration process of inhomogeneous continuum random trees. Zbl 1078.60006
Aldous, David; Miermont, Grégory; Pitman, Jim
2005
The objective method: Probabilistic combinatorial optimization and local weak convergence. Zbl 1037.60008
Aldous, David; Steele, J. Michael
2004
The exploration process of inhomogeneous continuum random trees, and an extension of Jeulin’s local time identity. Zbl 1056.60011
Aldous, David; Miermont, Grégory; Pitman, Jim
2004
Brownian bridge asymptotics for random $$p$$-mappings. Zbl 1064.60012
Aldous, David; Miermont, Grégory; Pitman, Jim
2004
A tractable complex network model based on the stochastic mean-field model of distance. Zbl 1080.05532
Aldous, David J.
2004
Scaling and universality in continuous length combinatorial optimization. Zbl 1063.90041
Aldous, David; Percus, Allon G.
2003
A stochastic complex network model society. Zbl 1075.60120
Aldous, David J.
2003
The asymmetric one-dimensional constrained Ising model: Rigorous results. Zbl 1006.60095
Aldous, David; Diaconis, Persi
2002
Invariance principles for non-uniform random mappings and trees. Zbl 1027.60003
Aldous, David; Pitman, Jim
2002
The asymptotic distribution of the diameter of a random mapping. Zbl 1002.60075
Aldous, David; Pitman, Jim
2002
The $$\zeta(2)$$ limit in the random assignment problem. Zbl 0993.60018
Aldous, David J.
2001
Stochastic models and descriptive statistics for phylogenetic trees, from Yule to today. Zbl 1127.60313
Aldous, David J.
2001
How to combine fast heuristic Markov chain Monte Carlo with slow exact sampling. Zbl 0987.60084
2001
The percolation process on a tree where inifinite clusters are frozen. Zbl 0961.60096
Aldous, David J.
2000
Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent. Zbl 0969.60015
Aldous, David; Pitman, Jim
2000
Mixing time for a Markov chain on cladograms. Zbl 0961.60077
Aldous, David J.
2000
On a random graph with immigrating vertices: Emergence of the giant component. Zbl 0964.05061
Aldous, David J.; Pittel, Boris
2000
Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists. Zbl 0930.60096
Aldous, David J.
1999
Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem. Zbl 0937.60001
Aldous, David; Diaconis, Persi
1999
Dirichlet forms on totally disconnected spaces and bipartite Markov chains. Zbl 0945.60064
Aldous, David; Evans, Steven N.
1999
A family of random trees with random edge lengths. Zbl 0934.05117
Aldous, David; Pitman, Jim
1999
The standard additive coalescent. Zbl 0936.60064
Aldous, David; Pitman, Jim
1998
Tree-valued Markov chains derived from Galton-Watson processes. Zbl 0917.60082
Aldous, David; Pitman, Jim
1998
The entrance boundary of the multiplicative coalescent. Zbl 0889.60080
1998
Brownian excursion conditioned on its local time. Zbl 0914.60049
Aldous, David J.
1998
Emergence of the giant component in special Marcus-Lushnikov processes. Zbl 1002.60564
Aldous, David
1998
Tree-valued Markov chains and Poisson-Galton-Watson distributions. Zbl 0913.60067
Aldous, David
1998
A Metropolis-type optimization algorithm on the infinite tree. Zbl 0936.68118
Aldous, D.
1998
On the critical value for ‘percolation’ of minimum-weight trees in the mean-field distance model. Zbl 0899.60007
Aldous, David
1998
Microsurveys in discrete probability. DIMACS workshop, Princeton, NJ, USA, June 2–6, 1997. Zbl 0892.00045
1998
Stochastic coalescence. Zbl 0908.60075
Aldous, David J.
1998
Brownian excursions, critical random graphs and the multiplicative coalescent. Zbl 0877.60010
Aldous, David
1997
Mixing times for uniformly ergodic Markov chains. Zbl 0941.60080
Aldous, David; Lovász, László; Winkler, Peter
1997
Probability distributions on cladograms. Zbl 0841.92015
Aldous, David
1996
Hammersley’s interacting particle process and longest increasing subsequences. Zbl 0836.60107
Aldous, D.; Diaconis, P.
1995
A Markovian extension of Valiant’s learning model. Zbl 0826.68052
Aldous, David; Vazirani, Umesh
1995
On simulating a Markov chain stationary distribution when transition probabilities are unknown. Zbl 0877.60050
Aldous, David
1995
Brownian bridge asymptotics for random mappings. Zbl 0811.60057
Aldous, David J.; Pitman, Jim
1994
Recursive self-similarity for random trees, random triangulations and Brownian excursion. Zbl 0808.60017
Aldous, David
1994
Triangulating the circle, at random. Zbl 0804.52011
Aldous, David
1994
The continuum random tree. III. Zbl 0791.60009
Aldous, David
1993
Tree-based models for random distribution of mass. Zbl 1102.60318
Aldous, David
1993
Shift-coupling. Zbl 0769.60062
Aldous, David J.; Thorisson, Hermann
1993
Inequalities for rare events in time-reversible Markov chains. II. Zbl 0812.60054
Aldous, David J.; Brown, Mark
1993
Asymptotics for Euclidean minimal spanning trees on random points. Zbl 0767.60005
Aldous, David; Steele, J. Michael
1992
Asymptotics in the random assignment problem. Zbl 0767.60006
Aldous, David
1992
Inequalities for rare events in time-reversible Markov chains. I. Zbl 1400.60096
Aldous, David J.; Brown, Mark
1992
Greedy search on the binary tree with random edge-weights. Zbl 0803.68025
Aldous, David
1992
Maximum size of a dynamic data structure: Hashing with lazy deletion revisited. Zbl 0825.68338
Aldous, David; Hofri, Micha; Szpankowski, Wojciech
1992
The continuum random tree. I. Zbl 0722.60013
Aldous, David
1991
The continuum random tree. II: An overview. Zbl 0791.60008
Aldous, David
1991
Asymptotic fringe distributions for general families of random trees. Zbl 0733.60016
Aldous, David
1991
Threshold limits for cover times. Zbl 0717.60082
Aldous, David J.
1991
Random walk covering of some special trees. Zbl 0733.60092
Aldous, David J.
1991
Meeting times for independent Markov chains. Zbl 0737.60061
Aldous, David J.
1991
The number of extreme points in the convex hull of a random sample. Zbl 0742.60012
Aldous, David J.; Fristedt, Bert; Griffin, Philip S.; Pruitt, William E.
1991
Applications of random walks on finite graphs. Zbl 0769.60064
Aldous, David
1991
The random walk construction of uniform spanning trees and uniform labelled trees. Zbl 0717.05028
Aldous, David J.
1990
A random tree model associated with random graphs. Zbl 0747.05077
Aldous, David
1990
The ‘birth-and-assassination’ process. Zbl 0712.60090
Aldous, David; Krebs, William B.
1990
Probability approximations via the Poisson clumping heuristic. Zbl 0679.60013
Aldous, David
1989
Lower bounds for covering times for reversible Markov chains and random walks on graphs. Zbl 0684.60055
Aldous, David J.
1989
Hitting times for random walks on vertex-transitive graphs. Zbl 0668.05043
Aldous, David
1989
An introduction to covering problems for random walks on graphs. Zbl 0684.60054
Aldous, David
1989
...and 35 more Documents
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### Cited by 3,083 Authors

 56 Aldous, David John 36 van der Hofstad, Remco W. 33 Janson, Svante 33 Pitman, Jim William 29 Diaconis, Persi Warren 26 Peres, Yuval 22 Podolskij, Mark 21 Bhamidi, Shankar 20 Lambert, Amaury 19 Le Gall, Jean-François 19 Lubetzky, Eyal 18 Bordenave, Charles 17 Crane, Harry 17 Delmas, Jean-François 16 Benjamini, Itai 16 Curien, Nicolas 16 Fournier, Nicolas 16 Fulman, Jason E. 16 Hutchcroft, Tom 16 Martinelli, Fabio 15 Bertoin, Jean 15 Devroye, Luc P. J. A. 15 Marckert, Jean-François 15 Nachmias, Asaf 15 Sly, Allan 15 Steel, Michael Anthony 15 Toninelli, Cristina 14 Addario-Berry, Louigi 14 Ding, Jian 14 Kortchemski, Igor 14 Winkel, Matthias 13 Abraham, Romain 13 Broutin, Nicolas 13 Duquesne, Thomas 13 Fill, James Allen 13 Haas, Bénédicte 13 Laurençot, Philippe 12 Croydon, David A. 12 Seppäläinen, Timo 11 Hermon, Jonathan 11 Knessl, Charles 11 Lyons, Russell 11 Miller, Jason P. 11 Pittel, Boris G. 11 Saloff-Coste, Laurent 11 van Leeuwaarden, Johan S. H. 10 Gnedin, Alexander V. 10 Hu, Yueyun 10 Miermont, Grégory 10 Salez, Justin 10 Thorisson, Hermann 10 Timár, Ádám 10 Winter, Anita 9 Chatterjee, Sourav 9 Miclo, Laurent 9 Montanari, Andrea 9 Olvera-Cravioto, Mariana 9 Penrose, Mathew D. 9 Stufler, Benedikt 9 Wagner, Wolfgang 8 Angel, Omer 8 Ball, Frank G. 8 Bartoszek, Krzysztof 8 Berestycki, Nathanaël 8 Berkes, István 8 Budhiraja, Amarjit S. 8 Caputo, Pietro 8 Goldschmidt, Christina 8 Greven, Andreas 8 Gwynne, Ewain 8 Kallenberg, Olav 8 Kendall, Wilfrid S. 8 Kumagai, Takashi 8 Méléard, Sylvie 8 Mossel, Elchanan 8 Panchenko, Dmitry 8 Röllin, Adrian 8 Shi, Zhan 8 Sohn, Eunju 8 Stadler, Tanja 8 Szpankowski, Wojciech 8 Yukich, Joseph Elliott 7 Bandyopadhyay, Antar 7 Barbour, Andrew David 7 Bollobás, Béla 7 Borgs, Christian 7 Bowen, Lewis Phylip 7 Cator, Eric A. 7 Champagnat, Nicolas 7 Chayes, Jennifer Tour 7 Dembo, Amir 7 Elek, Gábor 7 He, Hui 7 Junge, Matthew 7 Lalley, Steven P. 7 Li, Zenghu 7 Mischler, Stéphane 7 Niethammer, Barbara 7 Pardoux, Etienne 7 Popovic, Lea ...and 2,983 more Authors
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### Cited in 385 Serials

 207 The Annals of Probability 167 Stochastic Processes and their Applications 160 Probability Theory and Related Fields 157 The Annals of Applied Probability 92 Journal of Statistical Physics 79 Random Structures & Algorithms 70 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 65 Statistics & Probability Letters 64 Advances in Applied Probability 64 Journal of Applied Probability 61 Journal of Theoretical Probability 61 Electronic Journal of Probability 47 Bernoulli 44 Combinatorics, Probability and Computing 41 Communications in Mathematical Physics 34 Theoretical Computer Science 33 The Annals of Statistics 32 Transactions of the American Mathematical Society 25 Theoretical Population Biology 25 ALEA. Latin American Journal of Probability and Mathematical Statistics 24 Journal of Mathematical Biology 23 Advances in Applied Mathematics 23 Electronic Communications in Probability 20 Statistical Science 19 Journal of Functional Analysis 17 Journal of Mathematical Analysis and Applications 17 Proceedings of the American Mathematical Society 17 Journal of Theoretical Biology 16 Journal of Multivariate Analysis 16 Journal of Statistical Mechanics: Theory and Experiment 15 Discrete Mathematics 15 Journal of Econometrics 15 The Electronic Journal of Combinatorics 15 Stochastic Models 14 European Journal of Combinatorics 14 Algorithmica 13 Discrete Applied Mathematics 13 Israel Journal of Mathematics 13 Journal of Mathematical Sciences (New York) 13 Probability in the Engineering and Informational Sciences 12 Information Processing Letters 12 Mathematical Biosciences 11 Lithuanian Mathematical Journal 11 Journal of Combinatorial Theory. Series A 11 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 10 Journal of Differential Equations 10 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 10 Acta Mathematica Hungarica 10 Annals of Mathematics. Second Series 10 Methodology and Computing in Applied Probability 10 Probability Surveys 9 Bulletin of Mathematical Biology 9 Journal of Computational and Applied Mathematics 9 Journal of Statistical Planning and Inference 9 Physica D 9 Queueing Systems 9 Bulletin of the American Mathematical Society. New Series 9 Journal of the European Mathematical Society (JEMS) 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Physica A 8 Inventiones Mathematicae 8 Ergodic Theory and Dynamical Systems 8 Geometric and Functional Analysis. GAFA 8 Communications in Statistics. Theory and Methods 8 European Journal of Operational Research 8 Potential Analysis 8 Monte Carlo Methods and Applications 8 Brazilian Journal of Probability and Statistics 8 Stochastics 8 Frontiers of Mathematics in China 8 Electronic Journal of Statistics 7 Journal of Mathematical Physics 7 Advances in Mathematics 7 Duke Mathematical Journal 7 Combinatorica 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Annals of Combinatorics 7 The Annals of Applied Statistics 7 Forum of Mathematics, Sigma 6 Communications on Pure and Applied Mathematics 6 Insurance Mathematics & Economics 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 SIAM Journal on Discrete Mathematics 6 Linear Algebra and its Applications 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Groups, Geometry, and Dynamics 6 Statistics and Computing 5 Applied Mathematics and Computation 5 SIAM Journal on Computing 5 Operations Research Letters 5 Stochastic Analysis and Applications 5 Acta Applicandae Mathematicae 5 Journal of Complexity 5 Annals of Operations Research 5 Proceedings of the National Academy of Sciences of the United States of America 5 SIAM Journal on Applied Mathematics 5 Turkish Journal of Mathematics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Discrete Algorithms 5 Journal of Physics A: Mathematical and Theoretical ...and 285 more Serials
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### Cited in 59 Fields

 2,041 Probability theory and stochastic processes (60-XX) 803 Combinatorics (05-XX) 396 Statistical mechanics, structure of matter (82-XX) 307 Statistics (62-XX) 256 Biology and other natural sciences (92-XX) 203 Computer science (68-XX) 157 Operations research, mathematical programming (90-XX) 105 Numerical analysis (65-XX) 98 Partial differential equations (35-XX) 96 Dynamical systems and ergodic theory (37-XX) 82 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 66 Functional analysis (46-XX) 46 Linear and multilinear algebra; matrix theory (15-XX) 46 Measure and integration (28-XX) 44 Group theory and generalizations (20-XX) 38 Operator theory (47-XX) 37 Integral equations (45-XX) 29 Fluid mechanics (76-XX) 29 Information and communication theory, circuits (94-XX) 27 Ordinary differential equations (34-XX) 26 Convex and discrete geometry (52-XX) 25 Quantum theory (81-XX) 25 Systems theory; control (93-XX) 20 Mathematical logic and foundations (03-XX) 19 Number theory (11-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 13 Topological groups, Lie groups (22-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Special functions (33-XX) 12 Differential geometry (53-XX) 11 History and biography (01-XX) 11 Relativity and gravitational theory (83-XX) 10 Difference and functional equations (39-XX) 10 Abstract harmonic analysis (43-XX) 10 General topology (54-XX) 9 Manifolds and cell complexes (57-XX) 7 Potential theory (31-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Algebraic topology (55-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 5 Associative rings and algebras (16-XX) 5 Real functions (26-XX) 5 Functions of a complex variable (30-XX) 5 Integral transforms, operational calculus (44-XX) 5 Geometry (51-XX) 5 Geophysics (86-XX) 4 Mechanics of particles and systems (70-XX) 3 Sequences, series, summability (40-XX) 3 Approximations and expansions (41-XX) 2 Astronomy and astrophysics (85-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Mechanics of deformable solids (74-XX)

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