Edit Profile (opens in new tab) Durrett, Richard Timothy Compute Distance To: Compute 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: 204 Publications since 1976, including 21 Books 5 Contributions as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 117 Co-Authors with 147 Joint Publications 2,400 Co-Co-Authors all top 5 Co-Authors 64 single-authored 15 Cox, J. Theodore 8 Bramson, Maury D. 6 Perkins, Edwin A. 6 Schonmann, Roberto Henrique 5 Junge, Matthew 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. 3 Berestycki, Nathanaël 3 Chayes, Jennifer Tour 3 Cristali, Irina 3 Huang, Xiangying 3 Huo, Ran 3 Mayberry, John P. 3 Neuhauser, Claudia 3 Remenik, Daniel 3 Swindle, Glen H. 3 Tanaka, Nelson I. 3 Zhang, Yuan 2 Aristotelous, Andreas C. 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 Jung, Paul H. 2 Lanchier, Nicolas 2 Leder, Kevin 2 Liu, Xiufang 2 Moseley, Stephen 2 Puha, Amber L. 2 Resnick, Sidney Ira 2 Sivakoff, David 2 Steif, Jeffrey E. 2 Talkington, Anne M. 2 Varghese, Chris 2 Zähle, Iljana 1 Agarwal, Pooja 1 Aldous, David John 1 Allouba, Hassan 1 Avellaneda, Marco 1 Basak, Anirban 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 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 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 Ma, Ruibo 1 Magura, Sam R. 1 Maini, Philip Kumar 1 Michor, Franziska 1 Miller, Douglas R. 1 Møller, A. M. 1 Molofsky, Jane 1 Mucha, Peter J. 1 Myers, Evan 1 Mytnik, Leonid 1 Nanda, Mridu 1 Ning, Fayfay 1 Pei, Justin 1 Pinsky, Mark Allan 1 Pong, Vitchyr He ...and 26 more Co-Authors all top 5 Serials 28 The Annals of Probability 22 The Annals of Applied Probability 19 Stochastic Processes and their Applications 14 Probability Theory and Related Fields 11 Theoretical Population Biology 8 Journal of Theoretical Probability 8 Electronic Journal of Probability 6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Journal of Applied Probability 4 Cambridge Series in Statistical and Probabilistic Mathematics 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 Electronic Communications in Probability 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 all top 5 Fields 188 Probability theory and stochastic processes (60-XX) 63 Biology and other natural sciences (92-XX) 17 Statistical mechanics, structure of matter (82-XX) 15 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 182 Publications have been cited 4,229 times in 3,272 Documents Cited by ▼ Year ▼ Probability. Theory and examples. 4th ed. Zbl 1202.60001Durrett, Rick 681 2010 Probability. Theory and examples. Zbl 0709.60002Durrett, Richard 292 1991 Probability. Theory and examples. 3rd ed. Zbl 1202.60002Durrett, Rick 182 2005 The importance of being discrete (and spatial). Zbl 0846.92027Durrett, Richard; Levin, Simon 171 1994 Lecture notes on particle systems and percolation. Zbl 0659.60129Durrett, Richard 152 1988 Random graph dynamics. Zbl 1116.05001Durrett, Rick 142 2007 Oriented percolation in two dimensions. Zbl 0567.60095Durrett, Richard 136 1984 Brownian motion and martingales in analysis. Zbl 0554.60075Durrett, Richard 119 1984 Fixed points of the smoothing transformation. Zbl 0506.60097Durrett, Richard; Liggett, Thomas M. 104 1983 Probability models for DNA sequence evolution. 2nd ed. Zbl 1311.92007Durrett, Richard 100 2008 Stochastic calculus. A practical introduction. Zbl 0856.60002Durrett, Richard 95 1996 Some limit theorems for percolation processes with necessary and sufficient conditions. Zbl 0462.60012Cox, J. Theodore; Durrett, Richard 74 1981 Ten lectures on particle systems. Zbl 0840.60088Durrett, Rick 71 1995 Probability. Theory and examples. 5th edition. Zbl 1440.60001Durrett, Rick 60 2019 Weak convergence to Brownian meander and Brownian excursion. Zbl 0356.60034Durrett, Richard T.; Iglehart, Donald L.; Miller, Douglas R. 46 1977 Stochastic spatial models. Zbl 0940.60086Durrett, Rick 44 1999 Functional limit theorems for dependent variables. Zbl 0398.60024Durrett, Richard; Resnick, Sidney I. 44 1978 Contact processes on random graphs with power law degree distributions have critical value 0. Zbl 1205.60168Chatterjee, Shirshendu; Durrett, Rick 43 2009 Connectivity properties of Mandelbrot’s percolation process. Zbl 0621.60110Chayes, J. T.; Chayes, L.; Durrett, R. 41 1988 Particle systems and reaction-diffusion equations. Zbl 0799.60093Durrett, Rick; Neuhauser, Claudia 41 1994 The shape of the limit set in Richardson’s growth model. Zbl 0457.60083Durrett, Richard; Liggett, Thomas M. 39 1981 Spatial aspects of interspecific competition. Zbl 0908.92031Durrett, Rick; Levin, Simon 38 1998 On the growth of one dimensional contact processes. Zbl 0457.60082Durrett, Richard 36 1980 Probability models for DNA sequence evolution. Zbl 0991.92021Durrett, Rick 36 2002 Functionals of Brownian meander and Brownian excursion. Zbl 0356.60035Durrett, Richard T.; Iglehart, Donald L. 30 1977 Random graph dynamics. Reprint of the 2007 hardback ed. Zbl 1223.05002Durrett, Rick 30 2010 Essentials of stochastic processes. Zbl 0940.60004Durrett, Rick 28 1999 The contact process on a finite set. II. Zbl 0664.60106Durrett, Richard; Schonmann, Roberto H. 27 1988 Supercritical contact processes on Z. Zbl 0508.60080Durrett, Richard; Griffeath, David 27 1983 Rescaled voter models converge to super-Brownian motion. Zbl 1044.60092Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. 27 2000 Approximating selective sweeps. Zbl 1111.92042Durrett, Richard; Schweinsberg, Jason 27 2004 The contact process on a finite set. Zbl 0647.60105Durrett, Richard; Liu, Xiu-Fang 26 1988 A simple proof of the stability criterion of Gray and Griffeath. Zbl 0639.60094Bramson, Maury; Durrett, Rick 25 1988 The equilibrium behavior of reversible coagulation-fragmentation processes. Zbl 0930.60094Durrett, Richard; Granovsky, Boris L.; Gueron, Shay 25 1999 Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Zbl 0953.60093Durrett, Richard; Perkins, Edwin A. 25 1999 Asymptotic behavior of Brownian polymers. Zbl 0767.60080Durrett, R. T.; Rogers, L. C. G. 24 1992 Nonlinear voter models. Zbl 0825.60053Cox, J. T.; Durrett, R. 22 1991 The contact process in a random environment. Zbl 0741.60097Bramson, Maury; Durrett, Rick; Schonmann, Roberto H. 22 1991 Multicolor particle systems with large threshold and range. Zbl 0751.60095Durrett, R. 22 1992 Voter model perturbations and reaction diffusion equations. Zbl 1277.60004Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. 21 2013 Once edge-reinforced random walk on a tree. Zbl 0995.60042Durrett, Rick; Kesten, Harry; Limic, Vlada 21 2002 Contact processes in several dimensions. Zbl 0483.60089Durrett, Richard; Griffeath, David 20 1982 Graph fission in an evolving voter model. Zbl 1256.91042Durrett, Richard; Gleeson, James P.; Lloyd, Alun L.; Mucha, Peter J.; Shi, Feng; Sivakoff, David; Socolar, Joshua E. S.; Varghese, Chris 20 2012 A waiting time problem arising from the study of multi-stage carcinogenesis. Zbl 1219.92038Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason 19 2009 Random partitions approximating the coalescence of lineages during a selective sweep. Zbl 1073.92029Schweinsberg, Jason; Durrett, Rick 19 2005 A phase transition in the random transposition random walk. Zbl 1102.60005Berestycki, Nathanaël; Durrett, Rick 19 2006 Epidemics with recovery in \(D=2\). Zbl 0733.92022Durrett, Rick; Neuhauser, Claudia 18 1991 Limit theorems for the spread of epidemics and forest fires. Zbl 0667.92016Cox, J. T.; Durrett, Richard 18 1988 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 1248.82021Durrett, Rick; Liggett, Thomas M.; Spitzer, Frank; Sznitman, Alain-Sol 18 2012 Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations. Zbl 1243.60066Durrett, Rick; Remenik, Daniel 18 2011 A coalescent model for the effect of advantageous mutations on the genealogy of a population. Zbl 1082.92031Durrett, Rick; Schweinsberg, Jason 18 2005 Fixation results for threshold voter systems. Zbl 0769.60092Durrett, Richard; Steif, Jeffrey E. 17 1993 Statistical mechanics of crabgrass. Zbl 0682.60090Bramson, M.; Durrett, R.; Swindle, G. 16 1989 Oriented percolation in dimensions \(d\geq 4\): bounds and asymptotic formulas. Zbl 0505.60017Cox, J. Theodore; Durrett, Richard 16 1983 Weak convergence with random indices. Zbl 0368.60028Durrett, Richard T.; Resnick, Sidney I. 16 1977 The stepping stone model: New formulas expose old myths. Zbl 1016.60089Cox, J. Theodore; Durrett, Richard 16 2002 Splitting intervals. II: Limit laws for lengths. Zbl 0607.60010Brennan, Michael D.; Durrett, Richard 15 1987 Coexistence results for some competition models. Zbl 0873.92020Durrett, Rick; Neuhauser, Claudia 15 1997 An infinite particle system with additive interactions. Zbl 0417.60098Durrett, Richard 15 1979 The contact process on a finite set. III: The critical case. Zbl 0692.60085Durrett, Richard; Schonmann, Roberto H.; Tanaka, Nelson I. 14 1989 Local frequency dependence and global coexistence. Zbl 0951.92032Molofsky, Jane; Durrett, Richard; Dushoff, Jonathan; Griffeath, David; Levin, Simon 14 1999 Maxima of branching random walks vs. independent random walks. Zbl 0425.60020Durrett, Richard 14 1979 Branching process models of cancer. Zbl 1328.92004Durrett, Richard 14 2015 Splitting intervals. Zbl 0601.60028Brennan, Michael D.; Durrett, Richard 13 1986 Large deviations for the contact process and two dimensional percolation. Zbl 0621.60108Durrett, R.; Schonmann, R. H. 13 1988 Conditioned limit theorems for random walks with negative drift. Zbl 0416.60021Durrett, Richard 13 1980 Are there bushes in a forest? Zbl 0722.60106Durrett, Rick; Swindle, Glen 12 1991 Critical behavior of the two-dimensional first passage time. Zbl 0629.60109Chayes, J. T.; Chayes, L.; Durrett, R. 12 1986 Some general results concerning the critical exponents of percolation processes. Zbl 0548.60099Durrett, Richard 12 1985 Conditioned limit theorems for some null recurrent Markov processes. Zbl 0398.60023Durrett, Richard 12 1978 Maxima of branching random walks. Zbl 0488.60090Durrett, Richard 11 1983 The genealogy of critical branching processes. Zbl 0394.60082Durrett, R. 11 1978 An introduction to infinite particle systems. Zbl 0462.60095Durrett, Richard 11 1981 Evolution of resistance and progression to disease during clonal expansion of cancer. Zbl 1403.92171Durrett, Richard; Moseley, Stephen 11 2010 Hybrid zones and voter model interfaces. Zbl 0849.60088Cox, J. T.; Durrett, R. 11 1995 Traveling waves of selective sweeps. Zbl 1219.92037Durrett, Rick; Mayberry, John 11 2011 On weighted heights of random trees. Zbl 0718.60099Durrett, Rick; Kesten, Harry; Waymire, Ed 10 1991 The contact process, 1974-1989. Zbl 0734.60102Durrett, Rick 10 1991 Crabgrass, measles, and gypsy moths: An introduction to modern probability. Zbl 0653.60095Durrett, Richard 10 1988 Estimating tumor growth rates in vivo. Zbl 1339.92035Talkington, Anne; Durrett, Rick 10 2015 Rigorous results for the NK model. Zbl 1049.60037Durrett, Richard; Limic, Vlada 10 2003 Two phase transitions for the contact process on small worlds. Zbl 1136.60054Durrett, Rick; Jung, Paul 10 2007 Spatial evolutionary games with small selection coefficients. Zbl 1414.91051Durrett, Rick 10 2014 Coexistence in stochastic spatial models. Zbl 1178.60069Durrett, Rick 10 2009 Annihilating branching processes. Zbl 0745.60085Bramson, Maury; Ding, Wanding; Durrett, Rick 10 1991 Asymptotic behavior of excitable cellular automata. Zbl 0796.60100Durrett, Richard; Griffeath, David 10 1993 Multidimensional random walks in random environments with subclassical limiting behavior. Zbl 0595.60072Durrett, Richard 9 1986 The stepping stone model. II: Genealogies and the infinite sites model. Zbl 1082.60097Zähle, Iljana; Cox, J. Theodore; Durrett, Richard 9 2005 A new proof of Spitzer’s result on the winding of two dimensional Brownian motion. Zbl 0479.60081Durrett, Richard 9 1982 Population genetics of neutral mutations in exponentially growing cancer cell populations. Zbl 1377.92061Durrett, Rick 9 2013 Intermediate phase for the contact process on a tree. Zbl 0830.60093Durrett, Rick; Schinazi, Rinaldo 9 1995 Complete convergence theorem for a competition model. Zbl 0718.60026Durrett, R.; Møller, A. M. 8 1991 Ergodicity of reversible reaction diffusion processes. Zbl 0669.60077Ding, Wan-Ding; Durrett, Richard; Liggett, Thomas M. 8 1990 Competition and species packing in patchy environments. Zbl 1038.92036Buttel, Linda A.; Durrett, Richard; Levin, Simon A. 8 2002 A new method for proving the existence of phase transitions. Zbl 0825.60052Durrett, Rick 8 1991 Some rigorous results for the Greenberg-Hastings model. Zbl 0741.92001Durrett, Richard; Steif, Jeffrey E. 8 1991 Mutual invadability implies coexistence in spatial models. Zbl 0992.60092Durrett, Rick 8 2002 Essentials of stochastic processes. 2nd ed. Zbl 1244.60001Durrett, Richard 8 2012 Stochastic growth models. Zbl 0628.60102Durrett, R.; Schonmann, R. H. 7 1987 Spatial Moran models. II: Cancer initiation in spatially structured tissue. Zbl 1344.60093Durrett, R.; Foo, J.; Leder, K. 7 2016 The contact process on random graphs and Galton Watson trees. Zbl 1439.60082Huang, Xiangying; Durrett, Rick 5 2020 Coexistence in chase-escape. Zbl 1434.60285Durrett, Rick; Junge, Matthew; Tang, Si 3 2020 The contact process on periodic trees. Zbl 1434.60295Huang, Xiangying; Durrett, Rick 1 2020 Poisson percolation on the oriented square lattice. Zbl 1471.60148Cristali, Irina; Junge, Matthew; Durrett, Rick 1 2020 Probability. Theory and examples. 5th edition. Zbl 1440.60001Durrett, Rick 60 2019 Poisson percolation on the square lattice. Zbl 1481.60015Cristali, Irina; Junge, Matthew; Durrett, Rick 2 2019 Asymptotic behavior of the Brownian frog model. Zbl 1402.60124Beckman, Erin; Dinan, Emily; Durrett, Rick; Huo, Ran; Junge, Matthew 7 2018 Ordinary differential equation models for adoptive immunotherapy. Zbl 1394.92066Talkington, Anne; Dantoin, Claudia; Durrett, Rick 6 2018 Latent voter model on locally tree-like random graphs. Zbl 1396.60103Huo, Ran; Durrett, Rick 2 2018 Diffusion limit for the partner model at the critical value. Zbl 1402.60123Basak, Anirban; Durrett, Rick; Foxall, Eric 2 2018 Block size in geometric(\(p\))-biased permutations. Zbl 1398.05004Cristali, Irina; Ranjan, Vinit; Steinberg, Jake; Beckman, Erin; Durrett, Rick; Junge, Matthew; Nolen, James 1 2018 A simple evolutionary game arising from the study of the role of IGF-II in pancreatic cancer. Zbl 1402.60130Ma, Ruibo; Durrett, Rick 1 2018 Spatial evolutionary games with weak selection. Zbl 1404.91028Nanda, Mridu; Durrett, Richard 5 2017 Phase transitions for a planar quadratic contact process. Zbl 1370.60187Bessonov, Mariya; Durrett, Richard 2 2017 Spatial Moran models. II: Cancer initiation in spatially structured tissue. Zbl 1344.60093Durrett, R.; Foo, J.; Leder, K. 7 2016 Evolutionary games on the torus with weak selection. Zbl 1348.91029Cox, J. Theodore; Durrett, Rick 6 2016 Genealogies in expanding populations. Zbl 1358.92065Durrett, Rick; Fan, Wai-Tong (Louis) 6 2016 Essentials of stochastic processes. 3rd edition. Zbl 1378.60001Durrett, Richard 5 2016 Branching process models of cancer. Zbl 1328.92004Durrett, Richard 14 2015 Estimating tumor growth rates in vivo. Zbl 1339.92035Talkington, Anne; Durrett, Rick 10 2015 Spatial Moran models I. stochastic tunneling in the neutral case. Zbl 1344.60094Durrett, Richard; Moseley, Stephen 5 2015 Coexistence of grass, saplings and trees in the Staver-Levin forest model. Zbl 1329.60333Durrett, Rick; Zhang, Yuan 1 2015 Spatial evolutionary games with small selection coefficients. Zbl 1414.91051Durrett, Rick 10 2014 The contact process with fast voting. Zbl 1291.60203Durrett, Rick; Liggett, Thomas; Zhang, Yuan 3 2014 Exact solution for a metapopulation version of Schelling’s model. Zbl 1355.91059Durrett, Richard; Zhang, Yuan 2 2014 Voter model perturbations and reaction diffusion equations. Zbl 1277.60004Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. 21 2013 Population genetics of neutral mutations in exponentially growing cancer cell populations. Zbl 1377.92061Durrett, Rick 9 2013 Cancer modeling: a personal perspective. Zbl 1322.92013Durrett, Rick 4 2013 A first order phase transition in the threshold \(\theta \geq 2\) contact process on random \(r\)-regular graphs and \(r\)-trees. Zbl 1261.60090Chatterjee, Shirshendu; Durrett, Rick 3 2013 Graph fission in an evolving voter model. Zbl 1256.91042Durrett, Richard; Gleeson, James P.; Lloyd, Alun L.; Mucha, Peter J.; Shi, Feng; Sivakoff, David; Socolar, Joshua E. S.; Varghese, Chris 20 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 1248.82021Durrett, Rick; Liggett, Thomas M.; Spitzer, Frank; Sznitman, Alain-Sol 18 2012 Essentials of stochastic processes. 2nd ed. Zbl 1244.60001Durrett, Richard 8 2012 Evolution of dispersal distance. Zbl 1311.60115Durrett, Rick; Remenik, Daniel 3 2012 A branching process model of ovarian cancer. Zbl 1397.92320Danesh, Kaveh; Durrett, Rick; Havrilesky, Laura J.; Myers, Evan 2 2012 Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations. Zbl 1243.60066Durrett, Rick; Remenik, Daniel 18 2011 Traveling waves of selective sweeps. Zbl 1219.92037Durrett, Rick; Mayberry, John 11 2011 Asymptotic behavior of Aldous’ gossip process. Zbl 1246.60117Chatterjee, Shirshendu; Durrett, Rick 7 2011 Persistence of activity in threshold contact processes, an ”annealed approximation” of random Boolean networks. Zbl 1230.05258Chatterjee, Shirshendu; Durrett, Rick 4 2011 Probability. Theory and examples. 4th ed. Zbl 1202.60001Durrett, Rick 681 2010 Random graph dynamics. Reprint of the 2007 hardback ed. Zbl 1223.05002Durrett, Rick 30 2010 Evolution of resistance and progression to disease during clonal expansion of cancer. Zbl 1403.92171Durrett, Richard; Moseley, Stephen 11 2010 Evolutionary dynamics of tumor progression with random fitness values. Zbl 1403.92172Durrett, Rick; Foo, Jasmine; Leder, Kevin; Mayberry, John; Michor, Franziska 6 2010 Evolution in predator-prey systems. Zbl 1190.92038Durrett, Rick; Mayberry, John 5 2010 Contact processes on random graphs with power law degree distributions have critical value 0. Zbl 1205.60168Chatterjee, Shirshendu; Durrett, Rick 43 2009 A waiting time problem arising from the study of multi-stage carcinogenesis. Zbl 1219.92038Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason 19 2009 Coexistence in stochastic spatial models. Zbl 1178.60069Durrett, Rick 10 2009 Degenerate diffusions arising from gene duplication models. Zbl 1211.60038Durrett, Rick; Popovic, Lea 3 2009 Chaos in a spatial epidemic model. Zbl 1181.92072Durrett, Rick; Remenik, Daniel 1 2009 Coexistence for a multitype contact process with seasons. Zbl 1206.60090Chan, B.; Durrett, R.; Lanchier, N. 1 2009 Probability models for DNA sequence evolution. 2nd ed. Zbl 1311.92007Durrett, Richard 100 2008 Coexistence in host-pathogen systems. Zbl 1141.60384Durrett, R.; Lanchier, N. 7 2008 One-dimensional stepping stone models, sardine genetics and Brownian local time. Zbl 1145.92024Durrett, Richard; Restrepo, Mateo 6 2008 Limiting behavior for the distance of a random walk. Zbl 1187.60033Berestycki, Nathanael; Durrett, Rick 5 2008 Random graph dynamics. Zbl 1116.05001Durrett, Rick 142 2007 Two phase transitions for the contact process on small worlds. Zbl 1136.60054Durrett, Rick; Jung, Paul 10 2007 On the width of hybrid zones. Zbl 1141.60061Durrett, Rick; Zähle, Iljana 4 2007 Wagner’s canalization model. Zbl 1118.92042Huerta-Sanchez, Emilia; Durrett, Rick 4 2007 A phase transition in the random transposition random walk. Zbl 1102.60005Berestycki, Nathanaël; Durrett, Rick 19 2006 A new coexistence result for competing contact processes. Zbl 1110.60089Chan, Benjamin; Durrett, Richard 3 2006 Probability. Theory and examples. 3rd ed. Zbl 1202.60002Durrett, Rick 182 2005 Random partitions approximating the coalescence of lineages during a selective sweep. Zbl 1073.92029Schweinsberg, Jason; Durrett, Rick 19 2005 A coalescent model for the effect of advantageous mutations on the genealogy of a population. Zbl 1082.92031Durrett, Rick; Schweinsberg, Jason 18 2005 The stepping stone model. II: Genealogies and the infinite sites model. Zbl 1082.60097Zähle, Iljana; Cox, J. Theodore; Durrett, Richard 9 2005 Power laws for family sizes in a duplication model. Zbl 1099.92055Durrett, Rick; Schweinsberg, Jason 6 2005 Competing super-Brownian motions as limits of interacting particle systems. Zbl 1111.60030Durrett, Richard; Mytnik, Leonid; Perkins, Edwin 5 2005 Random Oxford graphs. Zbl 1067.05070Blasiak, Jonah; Durrett, Rick 1 2005 Approximating selective sweeps. Zbl 1111.92042Durrett, Richard; Schweinsberg, Jason 27 2004 Subfunctionalization: How often does it occur? How long does it take? Zbl 1111.92044Ward, Rachel; Durrett, Richard 2 2004 Rigorous results for the NK model. Zbl 1049.60037Durrett, Richard; Limic, Vlada 10 2003 Shuffling chromosomes. Zbl 1047.92020Durrett, Rick 5 2003 Rigorous result for the CHKNS random graph model. Zbl 1073.82548Durrett, Rick 4 2003 A phase transition in the random transposition random walk. Zbl 1073.60525Berestycki, Nathanaël; Durrett; Rick 1 2003 Probability models for DNA sequence evolution. Zbl 0991.92021Durrett, Rick 36 2002 Once edge-reinforced random walk on a tree. Zbl 0995.60042Durrett, Rick; Kesten, Harry; Limic, Vlada 21 2002 The stepping stone model: New formulas expose old myths. Zbl 1016.60089Cox, J. Theodore; Durrett, Richard 16 2002 Competition and species packing in patchy environments. Zbl 1038.92036Buttel, Linda A.; Durrett, Richard; Levin, Simon A. 8 2002 Mutual invadability implies coexistence in spatial models. Zbl 0992.60092Durrett, Rick 8 2002 A surprising Poisson process arising from a species competition model. Zbl 1075.60582Durrett, Richard; Limic, Vlada 3 2002 Chutes and ladders in Markov chains. Zbl 0995.60067Diaconis, 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 0982.92021De, Arkendra; Ferguson, Michael; Sindi, Suzanne; Durrett, Richard 2 2001 On the quantity and quality of single nucleotide polymorphisms in the human genome. Zbl 1050.92021Durrett, Richard; Limic, Vlada 1 2001 Rescaled voter models converge to super-Brownian motion. Zbl 1044.60092Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. 27 2000 Boundary modified contact processes. Zbl 0995.60090Durrett, Rick; Schinazi, Rinaldo B. 6 2000 Stochastic spatial models. Zbl 0940.60086Durrett, Rick 44 1999 Essentials of stochastic processes. Zbl 0940.60004Durrett, Rick 28 1999 The equilibrium behavior of reversible coagulation-fragmentation processes. Zbl 0930.60094Durrett, Richard; Granovsky, Boris L.; Gueron, Shay 25 1999 Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Zbl 0953.60093Durrett, Richard; Perkins, Edwin A. 25 1999 Local frequency dependence and global coexistence. Zbl 0951.92032Molofsky, Jane; Durrett, Richard; Dushoff, Jonathan; Griffeath, David; Levin, Simon 14 1999 Rescaled particle systems converging to super-Brownian motion. Zbl 0941.60095Cox, Ted; Durrett, Richard; Perkins, Edwin A. 4 1999 Perplexing problems in probability. Festschrift in honor of Harry Kesten. Zbl 0919.00093 2 1999 Harry Kesten’s publications. A personal perspective. Zbl 0938.01030Durrett, Rick 2 1999 A new stochastic model of microsatellite evolution. Zbl 0962.92028Durrett, Richard; Kruglyak, Semyon 2 1999 Stochastic spatial models. Zbl 1002.92565Durrett, Rick 1 1999 Spatial aspects of interspecific competition. Zbl 0908.92031Durrett, Rick; Levin, Simon 38 1998 A spatial model for the abundance of species. Zbl 0935.60100Bramson, Maury; Cox, J. Theodore; Durrett, Richard 4 1998 Coexistence results for some competition models. Zbl 0873.92020Durrett, Rick; Neuhauser, Claudia 15 1997 Holomorphic diffusions and boundary behavior of harmonic functions. Zbl 0891.60072Chen, Zhen-Qing; Durrett, Richard; Ma, Gang 3 1997 Stochastic calculus. A practical introduction. Zbl 0856.60002Durrett, Richard 95 1996 Spatial models for species area curves. Zbl 0939.92032Bramson, Maury; Cox, J. Theodore; Durrett, Richard 5 1996 Ten lectures on particle systems. Zbl 0840.60088Durrett, Rick 71 1995 ...and 82 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,171 Authors 88 Durrett, Richard Timothy 26 Lanchier, Nicolas 25 Cox, J. Theodore 24 Peres, Yuval 21 Mountford, Thomas S. 20 Schinazi, Rinaldo B. 17 van der Hofstad, Remco W. 16 Berestycki, Nathanaël 15 Barral, Julien 15 Bhamidi, Shankar 15 Pemantle, Robin 15 Sidoravicius, Vladas 15 Wade, Andrew R. 15 Xue, Xiaofeng 14 Chen, Zhen-Qing 14 Damron, Michael 14 Pittel, Boris G. 14 Schonmann, Roberto Henrique 14 Schweinsberg, Jason Ross 13 Baake, Ellen 13 Gravner, Janko 13 Neuhauser, Claudia 13 Seppäläinen, Timo 12 Comets, Francis M. 12 Lambert, Amaury 12 Ren, Yanxia 11 Berestycki, Julien 11 Bramson, Maury D. 11 den Hollander, Frank 11 Etheridge, Alison Mary 11 Iksanov, Aleksander M. 11 Janson, Svante 11 Kesten, Harry 11 Liggett, Thomas Milton 11 Perkins, Edwin A. 11 Pitman, Jim William 11 Resnick, Sidney Ira 11 Swart, Jan M. 11 Vatutin, Vladimir Alekseevich 10 Benjamini, Itai 10 Ferrari, Pablo Augusto 10 Griffeath, David 10 Hössjer, Ola G. 10 Levin, Simon Asher 10 Martinelli, Fabio 10 Newman, Charles Michael 10 Schapira, Bruno 10 Wang, Jun 10 Zhang, Yu 9 Aldous, David John 9 Burdzy, Krzysztof 9 Collevecchio, Andrea 9 Finkelshteĭn, Dmitriĭ Leonidovich 9 Foxall, Eric 9 Hammond, Alan 9 Hong, Wenming 9 Junge, Matthew 9 Kyprianou, Andreas E. 9 Limic, Vlada 9 Penrose, Mathew D. 9 Pfaffelhuber, Peter 9 Roitershtein, Alexander 9 Sun, Yeneng 9 Swindle, Glen H. 9 Trapman, Pieter 9 Valesin, Daniel 9 Wakolbinger, Anton 8 Bertoin, Jean 8 Bollobás, Béla 8 Buraczewski, Dariusz 8 Kondrat’yev, Yuriĭ Grygorovych 8 Konno, Norio 8 Liu, Quansheng 8 Marchand, Régine 8 Menshikov, Mikhail V. 8 Mossel, Elchanan 8 Nowak, Martin Andreas 8 Rassoul-Agha, Firas 8 Steif, Jeffrey E. 8 Sun, Rongfeng 8 Toninelli, Cristina 8 Yor, Marc 7 Ball, Frank G. 7 Bañuelos, Rodrigo 7 Birkner, Matthias 7 Biskup, Marek 7 Britton, Tom 7 Chen, Dayue 7 Deijfen, Maria 7 Dolgopyat, Dmitry 7 Faggionato, Alessandra 7 Foo, Jasmine 7 Garet, Olivier 7 Granovsky, Boris L. 7 Grimmett, Geoffrey R. 7 Häggström, Olle 7 Holmes, Mark P. 7 Kious, Daniel 7 Leder, Kevin 7 Markowsky, Greg T. ...and 4,071 more Authors all top 5 Cited in 434 Serials 207 The Annals of Applied Probability 200 The Annals of Probability 187 Stochastic Processes and their Applications 177 Journal of Statistical Physics 129 Probability Theory and Related Fields 102 Theoretical Population Biology 84 Journal of Theoretical Biology 76 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 75 Journal of Mathematical Biology 72 Advances in Applied Probability 67 Journal of Theoretical Probability 65 Journal of Applied Probability 58 Statistics & Probability Letters 49 Communications in Mathematical Physics 49 Electronic Journal of Probability 38 Bulletin of Mathematical Biology 37 Transactions of the American Mathematical Society 36 Bernoulli 35 Mathematical Biosciences 34 Random Structures & Algorithms 27 ALEA. 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Mathematical Models & Methods in Applied Sciences 12 Automatica 12 Duke Mathematical Journal 12 Games and Economic Behavior 12 Methodology and Computing in Applied Probability 12 Stochastics 11 Journal of Mathematical Physics 11 Journal of Computational and Applied Mathematics 11 Insurance Mathematics & Economics 11 Electronic Journal of Statistics 10 Advances in Mathematics 10 Journal of Econometrics 10 Journal of Multivariate Analysis 10 Journal of Statistical Planning and Inference 10 Advances in Applied Mathematics 10 Applied Mathematical Modelling 10 Chaos 10 Frontiers of Mathematics in China 9 Nonlinearity 9 Statistics 9 Potential Analysis 9 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 9 Science China. Mathematics 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Chaos, Solitons and Fractals 8 Ergodic Theory and Dynamical Systems 8 Annals of Operations Research 8 European Journal of Operational Research 8 Bulletin of the American Mathematical Society. New Series 8 The Electronic Journal of Combinatorics 8 Advances in Complex Systems 8 Stochastics and Dynamics 8 Probability Surveys 7 Stochastic Analysis and Applications 7 Mathematical Programming. Series A. Series B 7 SIAM Journal on Optimization 7 Brazilian Journal of Probability and Statistics 7 Discrete and Continuous Dynamical Systems. Series B 6 Communications on Pure and Applied Mathematics 6 Theory of Probability and its Applications 6 Inventiones Mathematicae 6 Journal of Differential Equations 6 The Journal of Mathematical Sociology 6 Operations Research 6 SIAM Journal on Control and Optimization 6 Physica D 6 Acta Mathematicae Applicatae Sinica. English Series 6 Journal of the American Mathematical Society 6 Mathematical and Computer Modelling 6 Journal of Difference Equations and Applications 6 Mathematical Physics, Analysis and Geometry 6 Acta Mathematica Sinica. English Series 6 Annales Henri Poincaré 6 Journal of Machine Learning Research (JMLR) 5 Journal d’Analyse Mathématique 5 Journal of the Franklin Institute 5 Lithuanian Mathematical Journal 5 Metrika 5 Annals of the Institute of Statistical Mathematics 5 Journal of the Mathematical Society of Japan 5 Mathematics and Computers in Simulation 5 Journal of Time Series Analysis ...and 334 more Serials all top 5 Cited in 59 Fields 2,289 Probability theory and stochastic processes (60-XX) 708 Biology and other natural sciences (92-XX) 587 Statistical mechanics, structure of matter (82-XX) 349 Combinatorics (05-XX) 298 Statistics (62-XX) 294 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 171 Partial differential equations (35-XX) 148 Operations research, mathematical programming (90-XX) 142 Computer science (68-XX) 137 Dynamical systems and ergodic theory (37-XX) 132 Numerical analysis (65-XX) 68 Systems theory; control (93-XX) 66 Measure and integration (28-XX) 51 Ordinary differential equations (34-XX) 38 Number theory (11-XX) 38 Operator theory (47-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 33 Functions of a complex variable (30-XX) 32 Quantum theory (81-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 26 Functional analysis (46-XX) 25 Potential theory (31-XX) 25 Information and communication theory, circuits (94-XX) 21 Group theory and generalizations (20-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 17 Real functions (26-XX) 17 Difference and functional equations (39-XX) 16 Fluid mechanics (76-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Convex and discrete geometry (52-XX) 14 Differential geometry (53-XX) 12 Integral equations (45-XX) 11 Mathematical logic and foundations (03-XX) 10 Abstract harmonic analysis (43-XX) 9 Special functions (33-XX) 8 General and overarching topics; collections (00-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Algebraic geometry (14-XX) 7 Integral transforms, operational calculus (44-XX) 6 Topological groups, Lie groups (22-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Sequences, series, summability (40-XX) 5 Approximations and expansions (41-XX) 5 Mechanics of particles and systems (70-XX) 5 Mechanics of deformable solids (74-XX) 5 Relativity and gravitational theory (83-XX) 4 History and biography (01-XX) 4 General topology (54-XX) 4 Algebraic topology (55-XX) 3 Geometry (51-XX) 3 Mathematics education (97-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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