Edit Profile (opens in new tab) Durrett, Richard Timothy Co-Author Distance Author ID: durrett.richard-t Published as: Durrett, Rick; Durrett, Richard; Durrett, R.; Durrett, Richard T.; Durrett, Richard Timothy; Durrett, R. T.; Durrett more...less Homepage: https://services.math.duke.edu/~rtd/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 218 Publications since 1976, including 22 Books and 9 Additional arXiv Preprints 5 Contributions as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 124 Co-Authors with 158 Joint Publications 2,624 Co-Co-Authors all top 5 Co-Authors 67 single-authored 15 Cox, J. Theodore 8 Bramson, Maury D. 7 Junge, Matthew 6 Huang, Xiangying 6 Perkins, Edwin A. 6 Schonmann, Roberto Henrique 5 Kesten, Harry 5 Liggett, Thomas Milton 5 Schweinsberg, Jason Ross 4 Chatterjee, Shirshendu 4 Griffeath, David 4 Levin, Simon Asher 4 Limic, Vlada 4 Schinazi, Rinaldo B. 4 Zhang, Yuan 3 Berestycki, Nathanaël 3 Chayes, Jennifer Tour 3 Cristali, Irina 3 Huo, Ran 3 Mayberry, John P. 3 Neuhauser, Claudia 3 Remenik, Daniel 3 Swindle, Glen H. 3 Tanaka, Nelson I. 2 Aristotelous, Andreas C. 2 Basak, Anirban 2 Beckman, Erin 2 Brennan, Michael D. 2 Chan, Benjamin 2 Chayes, Lincoln 2 Chung, Kai Lai 2 Ding, Wanding 2 Foo, Jasmine 2 Iglehart, Donald Lee 2 Jiang, Yufeng 2 Jung, Paul H. 2 Kassem, Remy 2 Lanchier, Nicolas 2 Leder, Kevin 2 Liu, Xiufang 2 Ma, Ruibo 2 Moseley, Stephen 2 Mucha, Peter J. 2 Puha, Amber L. 2 Resnick, Sidney Ira 2 Shi, Feng 2 Sivakoff, David J. 2 Steif, Jeffrey E. 2 Talkington, Anne M. 2 Tung, Hwai-Ray 2 Varghese, Chris 2 Yao, Dong 2 York, Grayson 2 Zähle, Iljana 1 Agarwal, Pooja 1 Aldous, David John 1 Allouba, Hassan 1 Avellaneda, Marco 1 Bessonov, Mariya 1 Biane, Philippe 1 Blasiak, Jonah 1 Borowiak, Molly 1 Buttel, Linda A. 1 Buttell, L. 1 Capasso, Vincenzo 1 Caputo, Pietro 1 Chen, Jinwen 1 Chen, Zhen-Qing 1 Cox, Ted 1 Danesh, Kaveh 1 Dantoin, Claudia 1 De, Arkendra 1 Diaconis, Persi Warren 1 Diekmann, Odo 1 Dinan, Emily 1 Ding, Aolan 1 Dushoff, Jonathan 1 Fan, Wai-Tong 1 Foxall, Eric 1 Ghurye, Sudhish G. 1 Gleeson, James P. 1 Granovsky, Boris L. 1 Gueron, Shay 1 Hadeler, Karl-Peter 1 Havrilesky, Laura J. 1 Hawkes, John 1 Hoagland, Braden 1 Holroyd, Alexander E. 1 Hsu, Elton P. 1 Huerta-Sanchez, Emilia 1 Jensen, Leif 1 Kruglyak, Semyon 1 Lawler, Gregory Francis 1 Lloyd, Alun L. 1 Ma, Gang 1 Magura, Sam R. 1 Maini, Philip Kumar 1 Michor, Franziska 1 Miller, Douglas R. 1 Møller, A. M. ...and 33 more Co-Authors all top 5 Serials 28 The Annals of Probability 22 The Annals of Applied Probability 20 Stochastic Processes and their Applications 14 Probability Theory and Related Fields 12 Theoretical Population Biology 9 Electronic Journal of Probability 8 Journal of Theoretical Probability 6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Journal of Applied Probability 5 Cambridge Series in Statistical and Probabilistic Mathematics 4 Electronic Communications in Probability 3 Journal of Mathematical Biology 3 Journal of Statistical Physics 3 Proceedings of the National Academy of Sciences of the United States of America 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Springer Texts in Statistics 2 Communications in Mathematical Physics 2 Bulletin of Mathematical Biology 2 Notices of the American Mathematical Society 2 Experimental Mathematics 2 Contemporary Mathematics 2 Lecture Notes in Mathematics 2 Progress in Probability 2 Probability and its Applications 1 Advances in Applied Probability 1 Houston Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 The Mathematical Intelligencer 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Advances in Applied Mathematics 1 Random Structures & Algorithms 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Acta Mathematica Sinica. New Series 1 Nonlinear Science Today 1 Bernoulli 1 Mathematical Biosciences and Engineering 1 Astérisque 1 IAS/Park City Mathematics Series 1 Journal of Theoretical Biology 1 Journal of Complex Networks 1 Mathematical Biosciences Institute Lecture Series. Stochastics in Biological Systems 1 Probability and Stochastics Series all top 5 Fields 198 Probability theory and stochastic processes (60-XX) 67 Biology and other natural sciences (92-XX) 18 Statistical mechanics, structure of matter (82-XX) 17 Combinatorics (05-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 General and overarching topics; collections (00-XX) 6 Partial differential equations (35-XX) 5 History and biography (01-XX) 5 Statistics (62-XX) 5 Computer science (68-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Mathematics education (97-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 194 Publications have been cited 5,521 times in 4,334 Documents Cited by ▼ Year ▼ Probability. Theory and examples. 4th ed. Zbl 1202.60001 Durrett, Rick 934 2010 Probability. Theory and examples. Zbl 0709.60002 Durrett, Richard 319 1991 Probability. Theory and examples. 5th edition. Zbl 1440.60001 Durrett, Rick 310 2019 Probability. Theory and examples. 3rd ed. Zbl 1202.60002 Durrett, Rick 214 2005 The importance of being discrete (and spatial). Zbl 0846.92027 Durrett, Richard; Levin, Simon 202 1994 Random graph dynamics. Zbl 1116.05001 Durrett, Rick 199 2007 Lecture notes on particle systems and percolation. Zbl 0659.60129 Durrett, Richard 175 1988 Stochastic calculus. A practical introduction. Zbl 0856.60002 Durrett, Richard 157 1996 Oriented percolation in two dimensions. Zbl 0567.60095 Durrett, Richard 152 1984 Brownian motion and martingales in analysis. Zbl 0554.60075 Durrett, Richard 137 1984 Probability models for DNA sequence evolution. 2nd ed. Zbl 1311.92007 Durrett, Richard 124 2008 Fixed points of the smoothing transformation. Zbl 0506.60097 Durrett, Richard; Liggett, Thomas M. 112 1983 Some limit theorems for percolation processes with necessary and sufficient conditions. Zbl 0462.60012 Cox, J. Theodore; Durrett, Richard 103 1981 Ten lectures on particle systems. Zbl 0840.60088 Durrett, Rick 92 1995 Stochastic spatial models. Zbl 0940.60086 Durrett, Rick 60 1999 Weak convergence to Brownian meander and Brownian excursion. Zbl 0356.60034 Durrett, Richard T.; Iglehart, Donald L.; Miller, Douglas R. 55 1977 Contact processes on random graphs with power law degree distributions have critical value 0. Zbl 1205.60168 Chatterjee, Shirshendu; Durrett, Rick 54 2009 Spatial aspects of interspecific competition. Zbl 0908.92031 Durrett, Rick; Levin, Simon 48 1998 The shape of the limit set in Richardson’s growth model. Zbl 0457.60083 Durrett, Richard; Liggett, Thomas M. 47 1981 Functional limit theorems for dependent variables. Zbl 0398.60024 Durrett, Richard; Resnick, Sidney I. 46 1978 Particle systems and reaction-diffusion equations. Zbl 0799.60093 Durrett, Rick; Neuhauser, Claudia 45 1994 Connectivity properties of Mandelbrot’s percolation process. Zbl 0621.60110 Chayes, J. T.; Chayes, L.; Durrett, R. 43 1988 Probability models for DNA sequence evolution. Zbl 0991.92021 Durrett, Rick 41 2002 Essentials of stochastic processes. Zbl 0940.60004 Durrett, Rick 39 1999 On the growth of one dimensional contact processes. Zbl 0457.60082 Durrett, Richard 39 1980 Random graph dynamics. Reprint of the 2007 hardback ed. Zbl 1223.05002 Durrett, Rick 38 2010 Functionals of Brownian meander and Brownian excursion. Zbl 0356.60035 Durrett, Richard T.; Iglehart, Donald L. 35 1977 The contact process in a random environment. Zbl 0741.60097 Bramson, Maury; Durrett, Rick; Schonmann, Roberto H. 32 1991 Rescaled voter models converge to super-Brownian motion. Zbl 1044.60092 Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. 32 2000 Graph fission in an evolving voter model. Zbl 1256.91042 Durrett, Richard; Gleeson, James P.; Lloyd, Alun L.; Mucha, Peter J.; Shi, Feng; Sivakoff, David; Socolar, Joshua E. S.; Varghese, Chris 32 2012 Supercritical contact processes on Z. Zbl 0508.60080 Durrett, Richard; Griffeath, David 32 1983 The contact process on a finite set. II. Zbl 0664.60106 Durrett, Richard; Schonmann, Roberto H. 30 1988 Asymptotic behavior of Brownian polymers. Zbl 0767.60080 Durrett, R. T.; Rogers, L. C. G. 30 1992 The equilibrium behavior of reversible coagulation-fragmentation processes. Zbl 0930.60094 Durrett, Richard; Granovsky, Boris L.; Gueron, Shay 30 1999 The contact process on a finite set. Zbl 0647.60105 Durrett, Richard; Liu, Xiu-Fang 29 1988 A simple proof of the stability criterion of Gray and Griffeath. Zbl 0639.60094 Bramson, Maury; Durrett, Rick 29 1988 Approximating selective sweeps. Zbl 1111.92042 Durrett, Richard; Schweinsberg, Jason 28 2004 Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Zbl 0953.60093 Durrett, Richard; Perkins, Edwin A. 27 1999 Once edge-reinforced random walk on a tree. Zbl 0995.60042 Durrett, Rick; Kesten, Harry; Limic, Vlada 27 2002 Contact processes in several dimensions. Zbl 0483.60089 Durrett, Richard; Griffeath, David 26 1982 Nonlinear voter models. Zbl 0825.60053 Cox, J. T.; Durrett, R. 25 1991 Voter model perturbations and reaction diffusion equations. Zbl 1277.60004 Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. 25 2013 Multicolor particle systems with large threshold and range. Zbl 0751.60095 Durrett, R. 25 1992 Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations. Zbl 1243.60066 Durrett, Rick; Remenik, Daniel 24 2011 Epidemics with recovery in \(D=2\). Zbl 0733.92022 Durrett, Rick; Neuhauser, Claudia 22 1991 A waiting time problem arising from the study of multi-stage carcinogenesis. Zbl 1219.92038 Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason 22 2009 Interacting particle systems at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1464 (1991), 589 (1977), and 390 (1974). Zbl 1248.82021 Durrett, Rick; Liggett, Thomas M.; Spitzer, Frank; Sznitman, Alain-Sol 22 2012 Branching process models of cancer. Zbl 1328.92004 Durrett, Richard 22 2015 Evolution of resistance and progression to disease during clonal expansion of cancer. Zbl 1403.92171 Durrett, Richard; Moseley, Stephen 22 2010 Critical behavior of the two-dimensional first passage time. Zbl 0629.60109 Chayes, J. T.; Chayes, L.; Durrett, R. 21 1986 Limit theorems for the spread of epidemics and forest fires. Zbl 0667.92016 Cox, J. T.; Durrett, Richard 21 1988 Fixation results for threshold voter systems. Zbl 0769.60092 Durrett, Richard; Steif, Jeffrey E. 21 1993 Statistical mechanics of crabgrass. Zbl 0682.60090 Bramson, M.; Durrett, R.; Swindle, G. 20 1989 Traveling waves of selective sweeps. Zbl 1219.92037 Durrett, Rick; Mayberry, John 20 2011 A coalescent model for the effect of advantageous mutations on the genealogy of a population. Zbl 1082.92031 Durrett, Rick; Schweinsberg, Jason 20 2005 Splitting intervals. II: Limit laws for lengths. Zbl 0607.60010 Brennan, Michael D.; Durrett, Richard 19 1987 A phase transition in the random transposition random walk. Zbl 1102.60005 Berestycki, Nathanaël; Durrett, Rick 19 2006 Random partitions approximating the coalescence of lineages during a selective sweep. Zbl 1073.92029 Schweinsberg, Jason; Durrett, Rick 19 2005 Maxima of branching random walks. Zbl 0488.60090 Durrett, Richard 19 1983 Splitting intervals. Zbl 0601.60028 Brennan, Michael D.; Durrett, Richard 18 1986 Oriented percolation in dimensions \(d\geq 4\): bounds and asymptotic formulas. Zbl 0505.60017 Cox, J. Theodore; Durrett, Richard 17 1983 The stepping stone model: New formulas expose old myths. Zbl 1016.60089 Cox, J. Theodore; Durrett, Richard 17 2002 An infinite particle system with additive interactions. Zbl 0417.60098 Durrett, Richard 17 1979 Maxima of branching random walks vs. independent random walks. Zbl 0425.60020 Durrett, Richard 17 1979 Large deviations for the contact process and two dimensional percolation. Zbl 0621.60108 Durrett, R.; Schonmann, R. H. 16 1988 The contact process on a finite set. III: The critical case. Zbl 0692.60085 Durrett, Richard; Schonmann, Roberto H.; Tanaka, Nelson I. 16 1989 Are there bushes in a forest? Zbl 0722.60106 Durrett, Rick; Swindle, Glen 16 1991 Coexistence results for some competition models. Zbl 0873.92020 Durrett, Rick; Neuhauser, Claudia 16 1997 Local frequency dependence and global coexistence. Zbl 0951.92032 Molofsky, Jane; Durrett, Richard; Dushoff, Jonathan; Griffeath, David; Levin, Simon 16 1999 Weak convergence with random indices. Zbl 0368.60028 Durrett, Richard T.; Resnick, Sidney I. 16 1977 Conditioned limit theorems for some null recurrent Markov processes. Zbl 0398.60023 Durrett, Richard 16 1978 The genealogy of critical branching processes. Zbl 0394.60082 Durrett, R. 16 1978 The contact process, 1974-1989. Zbl 0734.60102 Durrett, Rick 15 1991 Estimating tumor growth rates in vivo. Zbl 1339.92035 Talkington, Anne; Durrett, Rick 15 2015 Annihilating branching processes. Zbl 0745.60085 Bramson, Maury; Ding, Wanding; Durrett, Rick 14 1991 Evolutionary dynamics of tumor progression with random fitness values. Zbl 1403.92172 Durrett, Rick; Foo, Jasmine; Leder, Kevin; Mayberry, John; Michor, Franziska 14 2010 Conditioned limit theorems for random walks with negative drift. Zbl 0416.60021 Durrett, Richard 14 1980 Rigorous results for the NK model. Zbl 1049.60037 Durrett, Richard; Limic, Vlada 13 2003 The contact process on random graphs and Galton Watson trees. Zbl 1439.60082 Huang, Xiangying; Durrett, Rick 12 2020 Some general results concerning the critical exponents of percolation processes. Zbl 0548.60099 Durrett, Richard 12 1985 Coexistence in stochastic spatial models. Zbl 1178.60069 Durrett, Rick 12 2009 Population genetics of neutral mutations in exponentially growing cancer cell populations. Zbl 1377.92061 Durrett, Rick 12 2013 Asymptotic behavior of the Brownian frog model. Zbl 1402.60124 Beckman, Erin; Dinan, Emily; Durrett, Rick; Huo, Ran; Junge, Matthew 12 2018 Essentials of stochastic processes. 2nd ed. Zbl 1244.60001 Durrett, Richard 12 2012 Complete convergence theorem for a competition model. Zbl 0718.60026 Durrett, R.; Møller, A. M. 11 1991 Asymptotic behavior of excitable cellular automata. Zbl 0796.60100 Durrett, Richard; Griffeath, David 11 1993 Two phase transitions for the contact process on small worlds. Zbl 1136.60054 Durrett, Rick; Jung, Paul 11 2007 Hybrid zones and voter model interfaces. Zbl 0849.60088 Cox, J. T.; Durrett, R. 11 1995 Genealogies in expanding populations. Zbl 1358.92065 Durrett, Rick; Fan, Wai-Tong (Louis) 11 2016 Ordinary differential equation models for adoptive immunotherapy. Zbl 1394.92066 Talkington, Anne; Dantoin, Claudia; Durrett, Rick 11 2018 Spatial evolutionary games with small selection coefficients. Zbl 1414.91051 Durrett, Rick 11 2014 An introduction to infinite particle systems. Zbl 0462.60095 Durrett, Richard 11 1981 A new proof of Spitzer’s result on the winding of two dimensional Brownian motion. Zbl 0479.60081 Durrett, Richard 11 1982 Mutual invadability implies coexistence in spatial models. Zbl 0992.60092 Durrett, Rick 11 2002 Crabgrass, measles, and gypsy moths: An introduction to modern probability. Zbl 0653.60095 Durrett, Richard 10 1988 On weighted heights of random trees. Zbl 0718.60099 Durrett, Rick; Kesten, Harry; Waymire, Ed 10 1991 Some rigorous results for the Greenberg-Hastings model. Zbl 0741.92001 Durrett, Richard; Steif, Jeffrey E. 10 1991 Intermediate phase for the contact process on a tree. Zbl 0830.60093 Durrett, Rick; Schinazi, Rinaldo 10 1995 The stepping stone model. II: Genealogies and the infinite sites model. Zbl 1082.60097 Zähle, Iljana; Cox, J. Theodore; Durrett, Richard 10 2005 Spatial Moran models. II: Cancer initiation in spatially structured tissue. Zbl 1344.60093 Durrett, R.; Foo, J.; Leder, K. 10 2016 A stochastic spatial model for the sterile insect control strategy. Zbl 1509.60175 Huang, Xiangying; Durrett, Rick 1 2023 The life and mathematical legacy of Thomas M. Liggett. Zbl 1454.01026 Aldous, David; Caputo, Pietro; Durrett, Rick; Holroyd, Alexander E.; Jung, Paul; Puha, Amber L. 2 2021 Motion by mean curvature in interacting particle systems. Zbl 1475.60199 Huang, Xiangying; Durrett, Rick 1 2021 The contact process on random graphs and Galton Watson trees. Zbl 1439.60082 Huang, Xiangying; Durrett, Rick 12 2020 Coexistence in chase-escape. Zbl 1434.60285 Durrett, Rick; Junge, Matthew; Tang, Si 6 2020 The contact process on periodic trees. Zbl 1434.60295 Huang, Xiangying; Durrett, Rick 3 2020 Poisson percolation on the oriented square lattice. Zbl 1471.60148 Cristali, Irina; Junge, Matthew; Durrett, Rick 2 2020 The symbiotic contact process. Zbl 1441.60077 Durrett, Rick; Yao, Dong 1 2020 Probability. Theory and examples. 5th edition. Zbl 1440.60001 Durrett, Rick 310 2019 Poisson percolation on the square lattice. Zbl 1481.60015 Cristali, Irina; Junge, Matthew; Durrett, Rick 2 2019 The zealot voter model. Zbl 1441.60082 Huo, Ran; Durrett, Rick 1 2019 Extrapolating weak selection in evolutionary games. Zbl 1411.91093 Wang, Zhuoqun; Durrett, Rick 1 2019 Asymptotic behavior of the Brownian frog model. Zbl 1402.60124 Beckman, Erin; Dinan, Emily; Durrett, Rick; Huo, Ran; Junge, Matthew 12 2018 Ordinary differential equation models for adoptive immunotherapy. Zbl 1394.92066 Talkington, Anne; Dantoin, Claudia; Durrett, Rick 11 2018 Latent voter model on locally tree-like random graphs. Zbl 1396.60103 Huo, Ran; Durrett, Rick 2 2018 Diffusion limit for the partner model at the critical value. Zbl 1402.60123 Basak, Anirban; Durrett, Rick; Foxall, Eric 2 2018 A simple evolutionary game arising from the study of the role of IGF-II in pancreatic cancer. Zbl 1402.60130 Ma, Ruibo; Durrett, Rick 1 2018 Block size in geometric(\(p\))-biased permutations. Zbl 1398.05004 Cristali, Irina; Ranjan, Vinit; Steinberg, Jake; Beckman, Erin; Durrett, Rick; Junge, Matthew; Nolen, James 1 2018 Spatial evolutionary games with weak selection. Zbl 1404.91028 Nanda, Mridu; Durrett, Richard 8 2017 Phase transitions for a planar quadratic contact process. Zbl 1370.60187 Bessonov, Mariya; Durrett, Richard 2 2017 Genealogies in expanding populations. Zbl 1358.92065 Durrett, Rick; Fan, Wai-Tong (Louis) 11 2016 Spatial Moran models. II: Cancer initiation in spatially structured tissue. Zbl 1344.60093 Durrett, R.; Foo, J.; Leder, K. 10 2016 Essentials of stochastic processes. 3rd edition. Zbl 1378.60001 Durrett, Richard 9 2016 Evolutionary games on the torus with weak selection. Zbl 1348.91029 Cox, J. Theodore; Durrett, Rick 7 2016 Branching process models of cancer. Zbl 1328.92004 Durrett, Richard 22 2015 Estimating tumor growth rates in vivo. Zbl 1339.92035 Talkington, Anne; Durrett, Rick 15 2015 Spatial Moran models I. stochastic tunneling in the neutral case. Zbl 1344.60094 Durrett, Richard; Moseley, Stephen 9 2015 Coexistence of grass, saplings and trees in the Staver-Levin forest model. Zbl 1329.60333 Durrett, Rick; Zhang, Yuan 4 2015 Spatial evolutionary games with small selection coefficients. Zbl 1414.91051 Durrett, Rick 11 2014 The contact process with fast voting. Zbl 1291.60203 Durrett, Rick; Liggett, Thomas; Zhang, Yuan 3 2014 Exact solution for a metapopulation version of Schelling’s model. Zbl 1355.91059 Durrett, Richard; Zhang, Yuan 2 2014 Chemical evolutionary games. Zbl 1296.91028 Aristotelous, Andreas C.; Durrett, Richard 2 2014 Fingering in stochastic growth models. Zbl 1322.60203 Aristotelous, Andreas C.; Durrett, Richard 1 2014 Voter model perturbations and reaction diffusion equations. Zbl 1277.60004 Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. 25 2013 Population genetics of neutral mutations in exponentially growing cancer cell populations. Zbl 1377.92061 Durrett, Rick 12 2013 Cancer modeling: a personal perspective. Zbl 1322.92013 Durrett, Rick 5 2013 A first order phase transition in the threshold \(\theta \geq 2\) contact process on random \(r\)-regular graphs and \(r\)-trees. Zbl 1261.60090 Chatterjee, Shirshendu; Durrett, Rick 3 2013 Graph fission in an evolving voter model. Zbl 1256.91042 Durrett, Richard; Gleeson, James P.; Lloyd, Alun L.; Mucha, Peter J.; Shi, Feng; Sivakoff, David; Socolar, Joshua E. S.; Varghese, Chris 32 2012 Interacting particle systems at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1464 (1991), 589 (1977), and 390 (1974). Zbl 1248.82021 Durrett, Rick; Liggett, Thomas M.; Spitzer, Frank; Sznitman, Alain-Sol 22 2012 Essentials of stochastic processes. 2nd ed. Zbl 1244.60001 Durrett, Richard 12 2012 A branching process model of ovarian cancer. Zbl 1397.92320 Danesh, Kaveh; Durrett, Rick; Havrilesky, Laura J.; Myers, Evan 7 2012 Evolution of dispersal distance. Zbl 1311.60115 Durrett, Rick; Remenik, Daniel 3 2012 Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations. Zbl 1243.60066 Durrett, Rick; Remenik, Daniel 24 2011 Traveling waves of selective sweeps. Zbl 1219.92037 Durrett, Rick; Mayberry, John 20 2011 Asymptotic behavior of Aldous’ gossip process. Zbl 1246.60117 Chatterjee, Shirshendu; Durrett, Rick 7 2011 Persistence of activity in threshold contact processes, an ”annealed approximation” of random Boolean networks. Zbl 1230.05258 Chatterjee, Shirshendu; Durrett, Rick 4 2011 Probability. Theory and examples. 4th ed. Zbl 1202.60001 Durrett, Rick 934 2010 Random graph dynamics. Reprint of the 2007 hardback ed. Zbl 1223.05002 Durrett, Rick 38 2010 Evolution of resistance and progression to disease during clonal expansion of cancer. Zbl 1403.92171 Durrett, Richard; Moseley, Stephen 22 2010 Evolutionary dynamics of tumor progression with random fitness values. Zbl 1403.92172 Durrett, Rick; Foo, Jasmine; Leder, Kevin; Mayberry, John; Michor, Franziska 14 2010 Evolution in predator-prey systems. Zbl 1190.92038 Durrett, Rick; Mayberry, John 8 2010 Contact processes on random graphs with power law degree distributions have critical value 0. Zbl 1205.60168 Chatterjee, Shirshendu; Durrett, Rick 54 2009 A waiting time problem arising from the study of multi-stage carcinogenesis. Zbl 1219.92038 Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason 22 2009 Coexistence in stochastic spatial models. Zbl 1178.60069 Durrett, Rick 12 2009 Degenerate diffusions arising from gene duplication models. Zbl 1211.60038 Durrett, Rick; Popovic, Lea 4 2009 Coexistence for a multitype contact process with seasons. Zbl 1206.60090 Chan, B.; Durrett, R.; Lanchier, N. 3 2009 Chaos in a spatial epidemic model. Zbl 1181.92072 Durrett, Rick; Remenik, Daniel 2 2009 Elementary probability for applications. Zbl 1359.60004 Durrett, Rick 1 2009 Probability models for DNA sequence evolution. 2nd ed. Zbl 1311.92007 Durrett, Richard 124 2008 Coexistence in host-pathogen systems. Zbl 1141.60384 Durrett, R.; Lanchier, N. 8 2008 One-dimensional stepping stone models, sardine genetics and Brownian local time. Zbl 1145.92024 Durrett, Richard; Restrepo, Mateo 6 2008 Limiting behavior for the distance of a random walk. Zbl 1187.60033 Berestycki, Nathanael; Durrett, Rick 5 2008 Random graph dynamics. Zbl 1116.05001 Durrett, Rick 199 2007 Two phase transitions for the contact process on small worlds. Zbl 1136.60054 Durrett, Rick; Jung, Paul 11 2007 On the width of hybrid zones. Zbl 1141.60061 Durrett, Rick; Zähle, Iljana 5 2007 Wagner’s canalization model. Zbl 1118.92042 Huerta-Sanchez, Emilia; Durrett, Rick 4 2007 A phase transition in the random transposition random walk. Zbl 1102.60005 Berestycki, Nathanaël; Durrett, Rick 19 2006 A new coexistence result for competing contact processes. Zbl 1110.60089 Chan, Benjamin; Durrett, Richard 4 2006 Probability. Theory and examples. 3rd ed. Zbl 1202.60002 Durrett, Rick 214 2005 A coalescent model for the effect of advantageous mutations on the genealogy of a population. Zbl 1082.92031 Durrett, Rick; Schweinsberg, Jason 20 2005 Random partitions approximating the coalescence of lineages during a selective sweep. Zbl 1073.92029 Schweinsberg, Jason; Durrett, Rick 19 2005 The stepping stone model. II: Genealogies and the infinite sites model. Zbl 1082.60097 Zähle, Iljana; Cox, J. Theodore; Durrett, Richard 10 2005 Power laws for family sizes in a duplication model. Zbl 1099.92055 Durrett, Rick; Schweinsberg, Jason 5 2005 Competing super-Brownian motions as limits of interacting particle systems. Zbl 1111.60030 Durrett, Richard; Mytnik, Leonid; Perkins, Edwin 5 2005 Random Oxford graphs. Zbl 1067.05070 Blasiak, Jonah; Durrett, Rick 1 2005 Approximating selective sweeps. Zbl 1111.92042 Durrett, Richard; Schweinsberg, Jason 28 2004 Subfunctionalization: How often does it occur? How long does it take? Zbl 1111.92044 Ward, Rachel; Durrett, Richard 2 2004 Rigorous results for the NK model. Zbl 1049.60037 Durrett, Richard; Limic, Vlada 13 2003 Shuffling chromosomes. Zbl 1047.92020 Durrett, Rick 7 2003 Rigorous result for the CHKNS random graph model. Zbl 1073.82548 Durrett, Rick 4 2003 A phase transition in the random transposition random walk. Zbl 1073.60525 Berestycki, Nathanaël; Durrett; Rick 2 2003 Probability models for DNA sequence evolution. Zbl 0991.92021 Durrett, Rick 41 2002 Once edge-reinforced random walk on a tree. Zbl 0995.60042 Durrett, Rick; Kesten, Harry; Limic, Vlada 27 2002 The stepping stone model: New formulas expose old myths. Zbl 1016.60089 Cox, J. Theodore; Durrett, Richard 17 2002 Mutual invadability implies coexistence in spatial models. Zbl 0992.60092 Durrett, Rick 11 2002 Competition and species packing in patchy environments. Zbl 1038.92036 Buttel, Linda A.; Durrett, Richard; Levin, Simon A. 8 2002 A surprising Poisson process arising from a species competition model. Zbl 1075.60582 Durrett, Richard; Limic, Vlada 3 2002 Chutes and ladders in Markov chains. Zbl 0995.60067 Diaconis, Persi; Durrett, Rick 4 2001 The equilibrium distribution for a generalized Sankoff-Ferretti model accurately predicts chromosome size distributions in a wide variety of species. Zbl 0982.92021 De, Arkendra; Ferguson, Michael; Sindi, Suzanne; Durrett, Richard 2 2001 On the quantity and quality of single nucleotide polymorphisms in the human genome. Zbl 1050.92021 Durrett, Richard; Limic, Vlada 1 2001 Rescaled voter models converge to super-Brownian motion. Zbl 1044.60092 Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. 32 2000 Boundary modified contact processes. Zbl 0995.60090 Durrett, Rick; Schinazi, Rinaldo B. 6 2000 Stochastic spatial models. Zbl 0940.60086 Durrett, Rick 60 1999 Essentials of stochastic processes. Zbl 0940.60004 Durrett, Rick 39 1999 The equilibrium behavior of reversible coagulation-fragmentation processes. Zbl 0930.60094 Durrett, Richard; Granovsky, Boris L.; Gueron, Shay 30 1999 Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Zbl 0953.60093 Durrett, Richard; Perkins, Edwin A. 27 1999 Local frequency dependence and global coexistence. Zbl 0951.92032 Molofsky, Jane; Durrett, Richard; Dushoff, Jonathan; Griffeath, David; Levin, Simon 16 1999 Mathematics inspired by biology. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Martina Franca, Italy, June 13–20, 1997. Zbl 0930.00085 Durrett, R.; Hadeler, K. P.; Maini, P.; Smith, H. L. 9 1999 Rescaled particle systems converging to super-Brownian motion. Zbl 0941.60095 Cox, Ted; Durrett, Richard; Perkins, Edwin A. 4 1999 Perplexing problems in probability. Festschrift in honor of Harry Kesten. Zbl 0919.00093 4 1999 ...and 94 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,636 Authors 92 Durrett, Richard Timothy 30 Peres, Yuval 29 Lanchier, Nicolas 25 Cox, J. Theodore 22 Mountford, Thomas S. 22 van der Hofstad, Remco W. 21 Schinazi, Rinaldo B. 20 Bhamidi, Shankar 19 Sidoravicius, Vladas 18 Damron, Michael 18 Ren, Yanxia 18 Wade, Andrew R. 17 Xue, Xiaofeng 16 Berestycki, Nathanaël 16 Etheridge, Alison Mary 16 Iksanov, Aleksander M. 16 Resnick, Sidney Ira 16 Schweinsberg, Jason Ross 15 Baake, Ellen 15 Barral, Julien 15 Lambert, Amaury 15 Pemantle, Robin 15 Seppäläinen, Timo 14 Chen, Zhen-Qing 14 Gravner, Janko 14 Pittel, Boris G. 14 Schonmann, Roberto Henrique 13 Berestycki, Julien 13 Collevecchio, Andrea 13 den Hollander, Frank 13 Janson, Svante 13 Levin, Simon Asher 13 Neuhauser, Claudia 13 Perkins, Edwin A. 13 Pitman, Jim William 13 Swart, Jan M. 13 Vatutin, Vladimir Alekseevich 12 Buraczewski, Dariusz 12 Comets, Francis M. 12 Foo, Jasmine 12 Junge, Matthew 12 Kesten, Harry 12 Konno, Norio 12 Song, Renming 12 Vares, Maria Eulalia 12 Wang, Jun 12 Zhang, Yuan 11 Benjamini, Itai 11 Bramson, Maury D. 11 Ferrari, Pablo Augusto 11 Hong, Wenming 11 Lawley, Sean D. 11 Leder, Kevin 11 Liggett, Thomas Milton 11 Limic, Vlada 11 Martinelli, Fabio 11 Valesin, Daniel 10 Ball, Frank G. 10 Bertoin, Jean 10 Burdzy, Krzysztof 10 Finkelshteĭn, Dmitriĭ Leonidovich 10 Griffeath, David 10 Hammond, Alan 10 Liu, Quansheng 10 Newman, Charles Michael 10 Nowak, Martin Andreas 10 Pfaffelhuber, Peter 10 Schapira, Bruno 10 Toninelli, Cristina 10 Trapman, Pieter 10 Zhang, Yu 9 Aldous, David John 9 Britton, Tom 9 Cai, Xing Shi 9 Foxall, Eric 9 Hanson, Jack 9 Jiang, Daqing 9 Kyprianou, Andreas E. 9 Marchand, Régine 9 Menshikov, Mikhail V. 9 Penrose, Mathew D. 9 Rassoul-Agha, Firas 9 Roitershtein, Alexander 9 Sandrić, Nikola 9 Sly, Allan 9 Steif, Jeffrey E. 9 Sun, Yeneng 9 Swindle, Glen H. 9 Wakolbinger, Anton 8 Bollobás, Béla 8 Champagnat, Nicolas 8 Dolgopyat, Dmitry 8 Faggionato, Alessandra 8 Fontes, Luiz Renato G. 8 Frieze, Alan Michael 8 Häggström, Olle 8 Hayat, Tasawar 8 Holmes, Mark P. 8 Kious, Daniel 8 Kondrat’yev, Yuriĭ Grygorovych ...and 5,536 more Authors all top 5 Cited in 542 Serials 246 The Annals of Applied Probability 232 Stochastic Processes and their Applications 219 The Annals of Probability 192 Journal of Statistical Physics 145 Probability Theory and Related Fields 118 Journal of Theoretical Biology 111 Electronic Journal of Probability 110 Theoretical Population Biology 97 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 83 Journal of Theoretical Probability 80 Journal of Applied Probability 79 Journal of Mathematical Biology 78 Advances in Applied Probability 71 Statistics & Probability Letters 62 Random Structures & Algorithms 60 Communications in Mathematical Physics 49 ALEA. Latin American Journal of Probability and Mathematical Statistics 47 Bulletin of Mathematical Biology 46 Mathematical Biosciences 46 Bernoulli 37 Physica A 37 Transactions of the American Mathematical Society 36 Journal of Statistical Mechanics: Theory and Experiment 29 Journal of Mathematical Analysis and Applications 26 Combinatorics, Probability and Computing 25 Electronic Communications in Probability 22 Journal of Physics A: Mathematical and Theoretical 20 The Annals of Statistics 20 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 19 Journal of Functional Analysis 19 Theoretical Computer Science 19 Communications in Statistics. Theory and Methods 19 Stochastic Models 19 Electronic Journal of Statistics 18 Applied Mathematics and Computation 18 Proceedings of the American Mathematical Society 18 Queueing Systems 17 Automatica 17 Chaos 16 Journal of Mathematical Physics 16 Journal of Economic Theory 16 Mathematical Programming. Series A. Series B 16 Methodology and Computing in Applied Probability 15 Israel Journal of Mathematics 15 Nonlinearity 15 Journal of Econometrics 15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 15 SIAM Journal on Optimization 14 Advances in Mathematics 14 Insurance Mathematics & Economics 14 Games and Economic Behavior 13 Chaos, Solitons and Fractals 13 Acta Applicandae Mathematicae 13 The Electronic Journal of Combinatorics 13 Stochastics 12 Communications on Pure and Applied Mathematics 12 Duke Mathematical Journal 12 Journal of Computational and Applied Mathematics 12 Journal of Multivariate Analysis 12 Journal of Statistical Planning and Inference 12 Ergodic Theory and Dynamical Systems 12 Physica D 12 Journal of Machine Learning Research (JMLR) 11 SIAM Journal on Control and Optimization 11 Advances in Applied Mathematics 11 Annals of Operations Research 11 Applied Mathematical Modelling 11 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 11 Annales Henri Poincaré 11 Discrete and Continuous Dynamical Systems. Series B 11 Probability Surveys 10 Theory of Probability and its Applications 10 Journal of Differential Equations 10 Statistics 10 Communications in Nonlinear Science and Numerical Simulation 10 Stochastics and Dynamics 10 Frontiers of Mathematics in China 10 Science China. Mathematics 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 European Journal of Operational Research 9 Potential Analysis 9 Mathematical Physics, Analysis and Geometry 8 Journal of the Franklin Institute 8 Inventiones Mathematicae 8 Mathematics and Computers in Simulation 8 Operations Research 8 SIAM Journal on Mathematical Analysis 8 Bulletin of the American Mathematical Society. New Series 8 Journal of Nonlinear Science 8 Brazilian Journal of Probability and Statistics 8 Advances in Complex Systems 7 Lithuanian Mathematical Journal 7 Stochastic Analysis and Applications 7 Acta Mathematicae Applicatae Sinica. English Series 7 Journal of the American Mathematical Society 7 SIAM Journal on Discrete Mathematics 7 SIAM Journal on Applied Mathematics 7 Statistical Inference for Stochastic Processes 7 Acta Mathematica Sinica. English Series 7 Quantitative Finance ...and 442 more Serials all top 5 Cited in 59 Fields 2,876 Probability theory and stochastic processes (60-XX) 932 Biology and other natural sciences (92-XX) 730 Statistical mechanics, structure of matter (82-XX) 508 Combinatorics (05-XX) 428 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 413 Statistics (62-XX) 262 Partial differential equations (35-XX) 215 Computer science (68-XX) 208 Operations research, mathematical programming (90-XX) 207 Dynamical systems and ergodic theory (37-XX) 173 Numerical analysis (65-XX) 110 Systems theory; control (93-XX) 88 Measure and integration (28-XX) 76 Ordinary differential equations (34-XX) 57 Linear and multilinear algebra; matrix theory (15-XX) 57 Operator theory (47-XX) 54 Quantum theory (81-XX) 49 Number theory (11-XX) 42 Functions of a complex variable (30-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 41 Information and communication theory, circuits (94-XX) 40 Functional analysis (46-XX) 29 Potential theory (31-XX) 28 Group theory and generalizations (20-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 25 Difference and functional equations (39-XX) 24 Fluid mechanics (76-XX) 23 Real functions (26-XX) 21 Integral equations (45-XX) 20 Convex and discrete geometry (52-XX) 20 Differential geometry (53-XX) 19 Mathematical logic and foundations (03-XX) 18 Global analysis, analysis on manifolds (58-XX) 11 General and overarching topics; collections (00-XX) 11 Special functions (33-XX) 11 Abstract harmonic analysis (43-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Approximations and expansions (41-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Algebraic geometry (14-XX) 7 Topological groups, Lie groups (22-XX) 7 Integral transforms, operational calculus (44-XX) 7 Algebraic topology (55-XX) 7 Mechanics of particles and systems (70-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Sequences, series, summability (40-XX) 5 Geometry (51-XX) 5 General topology (54-XX) 5 Mechanics of deformable solids (74-XX) 5 Relativity and gravitational theory (83-XX) 4 History and biography (01-XX) 4 Geophysics (86-XX) 4 Mathematics education (97-XX) 3 Associative rings and algebras (16-XX) 3 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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