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: 208 Publications since 1976, including 21 Books 5 Contributions as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 118 Co-Authors with 151 Joint Publications 2,638 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 Huang, Xiangying 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 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 J. 2 Steif, Jeffrey E. 2 Talkington, Anne M. 2 Tung, Hwai-Ray 2 Varghese, Chris 2 Yao, Dong 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 Nolen, James ...and 27 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 4 Electronic Communications in 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 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 190 Probability theory and stochastic processes (60-XX) 66 Biology and other natural sciences (92-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 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 188 Publications have been cited 4,733 times in 3,680 Documents Cited by ▼ Year ▼ Probability. Theory and examples. 4th ed. Zbl 1202.60001Durrett, Rick 757 2010 Probability. Theory and examples. Zbl 0709.60002Durrett, Richard 305 1991 Probability. Theory and examples. 3rd ed. Zbl 1202.60002Durrett, Rick 200 2005 The importance of being discrete (and spatial). Zbl 0846.92027Durrett, Richard; Levin, Simon 180 1994 Random graph dynamics. Zbl 1116.05001Durrett, Rick 167 2007 Lecture notes on particle systems and percolation. Zbl 0659.60129Durrett, Richard 159 1988 Probability. Theory and examples. 5th edition. Zbl 1440.60001Durrett, Rick 151 2019 Oriented percolation in two dimensions. Zbl 0567.60095Durrett, Richard 142 1984 Brownian motion and martingales in analysis. Zbl 0554.60075Durrett, Richard 125 1984 Stochastic calculus. A practical introduction. Zbl 0856.60002Durrett, Richard 113 1996 Probability models for DNA sequence evolution. 2nd ed. Zbl 1311.92007Durrett, Richard 110 2008 Fixed points of the smoothing transformation. Zbl 0506.60097Durrett, Richard; Liggett, Thomas M. 109 1983 Some limit theorems for percolation processes with necessary and sufficient conditions. Zbl 0462.60012Cox, J. Theodore; Durrett, Richard 87 1981 Ten lectures on particle systems. Zbl 0840.60088Durrett, Rick 84 1995 Weak convergence to Brownian meander and Brownian excursion. Zbl 0356.60034Durrett, Richard T.; Iglehart, Donald L.; Miller, Douglas R. 50 1977 Stochastic spatial models. Zbl 0940.60086Durrett, Rick 50 1999 Contact processes on random graphs with power law degree distributions have critical value 0. Zbl 1205.60168Chatterjee, Shirshendu; Durrett, Rick 47 2009 Functional limit theorems for dependent variables. Zbl 0398.60024Durrett, Richard; Resnick, Sidney I. 44 1978 Connectivity properties of Mandelbrot’s percolation process. Zbl 0621.60110Chayes, J. T.; Chayes, L.; Durrett, R. 43 1988 Spatial aspects of interspecific competition. Zbl 0908.92031Durrett, Rick; Levin, Simon 43 1998 Particle systems and reaction-diffusion equations. Zbl 0799.60093Durrett, Rick; Neuhauser, Claudia 43 1994 The shape of the limit set in Richardson’s growth model. Zbl 0457.60083Durrett, Richard; Liggett, Thomas M. 42 1981 Probability models for DNA sequence evolution. Zbl 0991.92021Durrett, Rick 38 2002 On the growth of one dimensional contact processes. Zbl 0457.60082Durrett, Richard 38 1980 Random graph dynamics. Reprint of the 2007 hardback ed. Zbl 1223.05002Durrett, Rick 36 2010 Functionals of Brownian meander and Brownian excursion. Zbl 0356.60035Durrett, Richard T.; Iglehart, Donald L. 33 1977 Essentials of stochastic processes. Zbl 0940.60004Durrett, Rick 33 1999 Supercritical contact processes on Z. Zbl 0508.60080Durrett, Richard; Griffeath, David 30 1983 Rescaled voter models converge to super-Brownian motion. Zbl 1044.60092Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. 29 2000 The contact process on a finite set. II. Zbl 0664.60106Durrett, Richard; Schonmann, Roberto H. 29 1988 The contact process in a random environment. Zbl 0741.60097Bramson, Maury; Durrett, Rick; Schonmann, Roberto H. 29 1991 The contact process on a finite set. Zbl 0647.60105Durrett, Richard; Liu, Xiu-Fang 28 1988 Asymptotic behavior of Brownian polymers. Zbl 0767.60080Durrett, R. T.; Rogers, L. C. G. 28 1992 The equilibrium behavior of reversible coagulation-fragmentation processes. Zbl 0930.60094Durrett, Richard; Granovsky, Boris L.; Gueron, Shay 28 1999 A simple proof of the stability criterion of Gray and Griffeath. Zbl 0639.60094Bramson, Maury; Durrett, Rick 27 1988 Approximating selective sweeps. Zbl 1111.92042Durrett, Richard; Schweinsberg, Jason 27 2004 Once edge-reinforced random walk on a tree. Zbl 0995.60042Durrett, Rick; Kesten, Harry; Limic, Vlada 25 2002 Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Zbl 0953.60093Durrett, Richard; Perkins, Edwin A. 25 1999 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 25 2012 Multicolor particle systems with large threshold and range. Zbl 0751.60095Durrett, R. 23 1992 Voter model perturbations and reaction diffusion equations. Zbl 1277.60004Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. 22 2013 Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations. Zbl 1243.60066Durrett, Rick; Remenik, Daniel 22 2011 Nonlinear voter models. Zbl 0825.60053Cox, J. T.; Durrett, R. 22 1991 Contact processes in several dimensions. Zbl 0483.60089Durrett, Richard; Griffeath, David 21 1982 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 20 2012 A waiting time problem arising from the study of multi-stage carcinogenesis. Zbl 1219.92038Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason 20 2009 Fixation results for threshold voter systems. Zbl 0769.60092Durrett, Richard; Steif, Jeffrey E. 19 1993 Random partitions approximating the coalescence of lineages during a selective sweep. Zbl 1073.92029Schweinsberg, Jason; Durrett, Rick 19 2005 Epidemics with recovery in \(D=2\). Zbl 0733.92022Durrett, Rick; Neuhauser, Claudia 19 1991 Splitting intervals. II: Limit laws for lengths. Zbl 0607.60010Brennan, Michael D.; Durrett, Richard 18 1987 Critical behavior of the two-dimensional first passage time. Zbl 0629.60109Chayes, J. T.; Chayes, L.; Durrett, R. 18 1986 Limit theorems for the spread of epidemics and forest fires. Zbl 0667.92016Cox, J. T.; Durrett, Richard 18 1988 A phase transition in the random transposition random walk. Zbl 1102.60005Berestycki, Nathanaël; Durrett, Rick 18 2006 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: New formulas expose old myths. Zbl 1016.60089Cox, J. Theodore; Durrett, Richard 17 2002 Statistical mechanics of crabgrass. Zbl 0682.60090Bramson, M.; Durrett, R.; Swindle, G. 17 1989 Maxima of branching random walks. Zbl 0488.60090Durrett, Richard 17 1983 Oriented percolation in dimensions \(d\geq 4\): bounds and asymptotic formulas. Zbl 0505.60017Cox, J. Theodore; Durrett, Richard 17 1983 Branching process models of cancer. Zbl 1328.92004Durrett, Richard 17 2015 Evolution of resistance and progression to disease during clonal expansion of cancer. Zbl 1403.92171Durrett, Richard; Moseley, Stephen 17 2010 Splitting intervals. Zbl 0601.60028Brennan, Michael D.; Durrett, Richard 16 1986 Weak convergence with random indices. Zbl 0368.60028Durrett, Richard T.; Resnick, Sidney I. 16 1977 Maxima of branching random walks vs. independent random walks. Zbl 0425.60020Durrett, Richard 16 1979 Conditioned limit theorems for some null recurrent Markov processes. Zbl 0398.60023Durrett, Richard 15 1978 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. 15 1989 Traveling waves of selective sweeps. Zbl 1219.92037Durrett, Rick; Mayberry, John 15 2011 Local frequency dependence and global coexistence. Zbl 0951.92032Molofsky, Jane; Durrett, Richard; Dushoff, Jonathan; Griffeath, David; Levin, Simon 15 1999 Coexistence results for some competition models. Zbl 0873.92020Durrett, Rick; Neuhauser, Claudia 15 1997 Large deviations for the contact process and two dimensional percolation. Zbl 0621.60108Durrett, R.; Schonmann, R. H. 14 1988 Conditioned limit theorems for random walks with negative drift. Zbl 0416.60021Durrett, Richard 14 1980 Estimating tumor growth rates in vivo. Zbl 1339.92035Talkington, Anne; Durrett, Rick 13 2015 Are there bushes in a forest? Zbl 0722.60106Durrett, Rick; Swindle, Glen 13 1991 The genealogy of critical branching processes. Zbl 0394.60082Durrett, R. 12 1978 Some general results concerning the critical exponents of percolation processes. Zbl 0548.60099Durrett, Richard 12 1985 An introduction to infinite particle systems. Zbl 0462.60095Durrett, Richard 11 1981 Coexistence in stochastic spatial models. Zbl 1178.60069Durrett, Rick 11 2009 Asymptotic behavior of excitable cellular automata. Zbl 0796.60100Durrett, Richard; Griffeath, David 11 1993 Annihilating branching processes. Zbl 0745.60085Bramson, Maury; Ding, Wanding; Durrett, Rick 11 1991 Hybrid zones and voter model interfaces. Zbl 0849.60088Cox, J. T.; Durrett, R. 11 1995 Two phase transitions for the contact process on small worlds. Zbl 1136.60054Durrett, Rick; Jung, Paul 11 2007 Crabgrass, measles, and gypsy moths: An introduction to modern probability. Zbl 0653.60095Durrett, Richard 10 1988 Mutual invadability implies coexistence in spatial models. Zbl 0992.60092Durrett, Rick 10 2002 On weighted heights of random trees. Zbl 0718.60099Durrett, Rick; Kesten, Harry; Waymire, Ed 10 1991 A new proof of Spitzer’s result on the winding of two dimensional Brownian motion. Zbl 0479.60081Durrett, Richard 10 1982 Some rigorous results for the Greenberg-Hastings model. Zbl 0741.92001Durrett, Richard; Steif, Jeffrey E. 10 1991 Spatial evolutionary games with small selection coefficients. Zbl 1414.91051Durrett, Rick 10 2014 Rigorous results for the NK model. Zbl 1049.60037Durrett, Richard; Limic, Vlada 10 2003 Evolutionary dynamics of tumor progression with random fitness values. Zbl 1403.92172Durrett, Rick; Foo, Jasmine; Leder, Kevin; Mayberry, John; Michor, Franziska 10 2010 The contact process, 1974-1989. Zbl 0734.60102Durrett, Rick 10 1991 Intermediate phase for the contact process on a tree. Zbl 0830.60093Durrett, Rick; Schinazi, Rinaldo 9 1995 Multidimensional random walks in random environments with subclassical limiting behavior. Zbl 0595.60072Durrett, Richard 9 1986 Population genetics of neutral mutations in exponentially growing cancer cell populations. Zbl 1377.92061Durrett, Rick 9 2013 The stepping stone model. II: Genealogies and the infinite sites model. Zbl 1082.60097Zähle, Iljana; Cox, J. Theodore; Durrett, Richard 9 2005 Ordinary differential equation models for adoptive immunotherapy. Zbl 1394.92066Talkington, Anne; Dantoin, Claudia; Durrett, Rick 9 2018 Asymptotic behavior of the Brownian frog model. Zbl 1402.60124Beckman, Erin; Dinan, Emily; Durrett, Rick; Huo, Ran; Junge, Matthew 9 2018 Spatial Moran models. II: Cancer initiation in spatially structured tissue. Zbl 1344.60093Durrett, R.; Foo, J.; Leder, K. 8 2016 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 Coexistence in host-pathogen systems. Zbl 1141.60384Durrett, R.; Lanchier, N. 8 2008 The life and mathematical legacy of Thomas M. Liggett. Zbl 1454.01026Aldous, David; Caputo, Pietro; Durrett, Rick; Holroyd, Alexander E.; Jung, Paul; Puha, Amber L. 1 2021 The contact process on random graphs and Galton Watson trees. Zbl 1439.60082Huang, Xiangying; Durrett, Rick 7 2020 Coexistence in chase-escape. Zbl 1434.60285Durrett, Rick; Junge, Matthew; Tang, Si 4 2020 The contact process on periodic trees. Zbl 1434.60295Huang, Xiangying; Durrett, Rick 2 2020 Poisson percolation on the oriented square lattice. Zbl 1471.60148Cristali, Irina; Junge, Matthew; Durrett, Rick 1 2020 The symbiotic contact process. Zbl 1441.60077Durrett, Rick; Yao, Dong 1 2020 Probability. Theory and examples. 5th edition. Zbl 1440.60001Durrett, Rick 151 2019 Poisson percolation on the square lattice. Zbl 1481.60015Cristali, Irina; Junge, Matthew; Durrett, Rick 2 2019 Ordinary differential equation models for adoptive immunotherapy. Zbl 1394.92066Talkington, Anne; Dantoin, Claudia; Durrett, Rick 9 2018 Asymptotic behavior of the Brownian frog model. Zbl 1402.60124Beckman, Erin; Dinan, Emily; Durrett, Rick; Huo, Ran; Junge, Matthew 9 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 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 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 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. 8 2016 Genealogies in expanding populations. Zbl 1358.92065Durrett, Rick; Fan, Wai-Tong (Louis) 8 2016 Evolutionary games on the torus with weak selection. Zbl 1348.91029Cox, J. Theodore; Durrett, Rick 7 2016 Essentials of stochastic processes. 3rd edition. Zbl 1378.60001Durrett, Richard 6 2016 Branching process models of cancer. Zbl 1328.92004Durrett, Richard 17 2015 Estimating tumor growth rates in vivo. Zbl 1339.92035Talkington, Anne; Durrett, Rick 13 2015 Spatial Moran models I. stochastic tunneling in the neutral case. Zbl 1344.60094Durrett, Richard; Moseley, Stephen 6 2015 Coexistence of grass, saplings and trees in the Staver-Levin forest model. Zbl 1329.60333Durrett, Rick; Zhang, Yuan 2 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 Chemical evolutionary games. Zbl 1296.91028Aristotelous, Andreas C.; Durrett, Richard 2 2014 Exact solution for a metapopulation version of Schelling’s model. Zbl 1355.91059Durrett, Richard; Zhang, Yuan 2 2014 Fingering in stochastic growth models. Zbl 1322.60203Aristotelous, Andreas C.; Durrett, Richard 1 2014 Voter model perturbations and reaction diffusion equations. Zbl 1277.60004Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. 22 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 5 2013 A first order phase transition in the threshold \(\theta \geq 2\) contact process on random \(r\)-regular graphs and \(r\)-trees. Zbl 1261.60090Chatterjee, 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 25 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 20 2012 Essentials of stochastic processes. 2nd ed. Zbl 1244.60001Durrett, Richard 8 2012 A branching process model of ovarian cancer. Zbl 1397.92320Danesh, Kaveh; Durrett, Rick; Havrilesky, Laura J.; Myers, Evan 4 2012 Evolution of dispersal distance. Zbl 1311.60115Durrett, Rick; Remenik, Daniel 3 2012 Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations. Zbl 1243.60066Durrett, Rick; Remenik, Daniel 22 2011 Traveling waves of selective sweeps. Zbl 1219.92037Durrett, Rick; Mayberry, John 15 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 757 2010 Random graph dynamics. Reprint of the 2007 hardback ed. Zbl 1223.05002Durrett, Rick 36 2010 Evolution of resistance and progression to disease during clonal expansion of cancer. Zbl 1403.92171Durrett, Richard; Moseley, Stephen 17 2010 Evolutionary dynamics of tumor progression with random fitness values. Zbl 1403.92172Durrett, Rick; Foo, Jasmine; Leder, Kevin; Mayberry, John; Michor, Franziska 10 2010 Evolution in predator-prey systems. Zbl 1190.92038Durrett, Rick; Mayberry, John 6 2010 Contact processes on random graphs with power law degree distributions have critical value 0. Zbl 1205.60168Chatterjee, Shirshendu; Durrett, Rick 47 2009 A waiting time problem arising from the study of multi-stage carcinogenesis. Zbl 1219.92038Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason 20 2009 Coexistence in stochastic spatial models. Zbl 1178.60069Durrett, Rick 11 2009 Degenerate diffusions arising from gene duplication models. Zbl 1211.60038Durrett, Rick; Popovic, Lea 4 2009 Coexistence for a multitype contact process with seasons. Zbl 1206.60090Chan, B.; Durrett, R.; Lanchier, N. 2 2009 Chaos in a spatial epidemic model. Zbl 1181.92072Durrett, Rick; Remenik, Daniel 2 2009 Probability models for DNA sequence evolution. 2nd ed. Zbl 1311.92007Durrett, Richard 110 2008 Coexistence in host-pathogen systems. Zbl 1141.60384Durrett, R.; Lanchier, N. 8 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 167 2007 Two phase transitions for the contact process on small worlds. Zbl 1136.60054Durrett, Rick; Jung, Paul 11 2007 On the width of hybrid zones. Zbl 1141.60061Durrett, Rick; Zähle, Iljana 5 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 18 2006 A new coexistence result for competing contact processes. Zbl 1110.60089Chan, Benjamin; Durrett, Richard 4 2006 Probability. Theory and examples. 3rd ed. Zbl 1202.60002Durrett, Rick 200 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 6 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 2 2003 Probability models for DNA sequence evolution. Zbl 0991.92021Durrett, Rick 38 2002 Once edge-reinforced random walk on a tree. Zbl 0995.60042Durrett, Rick; Kesten, Harry; Limic, Vlada 25 2002 The stepping stone model: New formulas expose old myths. Zbl 1016.60089Cox, J. Theodore; Durrett, Richard 17 2002 Mutual invadability implies coexistence in spatial models. Zbl 0992.60092Durrett, Rick 10 2002 Competition and species packing in patchy environments. Zbl 1038.92036Buttel, Linda A.; Durrett, Richard; Levin, Simon A. 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. 29 2000 Boundary modified contact processes. Zbl 0995.60090Durrett, Rick; Schinazi, Rinaldo B. 6 2000 Stochastic spatial models. Zbl 0940.60086Durrett, Rick 50 1999 Essentials of stochastic processes. Zbl 0940.60004Durrett, Rick 33 1999 The equilibrium behavior of reversible coagulation-fragmentation processes. Zbl 0930.60094Durrett, Richard; Granovsky, Boris L.; Gueron, Shay 28 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 15 1999 Rescaled particle systems converging to super-Brownian motion. Zbl 0941.60095Cox, Ted; Durrett, Richard; Perkins, Edwin A. 4 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 0930.00085Durrett, R.; Hadeler, K. P.; Maini, P.; Smith, H. L. 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 Perplexing problems in probability. Festschrift in honor of Harry Kesten. Zbl 0919.00093 2 1999 Stochastic spatial models. Zbl 1002.92565Durrett, Rick 1 1999 Spatial aspects of interspecific competition. Zbl 0908.92031Durrett, Rick; Levin, Simon 43 1998 A spatial model for the abundance of species. Zbl 0935.60100Bramson, Maury; Cox, J. Theodore; Durrett, Richard 5 1998 ...and 88 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,752 Authors 92 Durrett, Richard Timothy 27 Peres, Yuval 26 Lanchier, Nicolas 25 Cox, J. Theodore 22 Mountford, Thomas S. 20 Schinazi, Rinaldo B. 18 van der Hofstad, Remco W. 18 Wade, Andrew R. 17 Bhamidi, Shankar 17 Sidoravicius, Vladas 16 Berestycki, Nathanaël 16 Damron, Michael 15 Barral, Julien 15 Pemantle, Robin 15 Xue, Xiaofeng 14 Baake, Ellen 14 Chen, Zhen-Qing 14 Gravner, Janko 14 Lambert, Amaury 14 Pittel, Boris G. 14 Ren, Yanxia 14 Schonmann, Roberto Henrique 14 Schweinsberg, Jason Ross 14 Seppäläinen, Timo 13 Iksanov, Aleksander M. 13 Neuhauser, Claudia 13 Vatutin, Vladimir Alekseevich 12 Berestycki, Julien 12 den Hollander, Frank 12 Etheridge, Alison Mary 12 Janson, Svante 12 Kesten, Harry 12 Perkins, Edwin A. 12 Swart, Jan M. 11 Bramson, Maury D. 11 Buraczewski, Dariusz 11 Comets, Francis M. 11 Ferrari, Pablo Augusto 11 Foo, Jasmine 11 Junge, Matthew 11 Levin, Simon Asher 11 Liggett, Thomas Milton 11 Limic, Vlada 11 Martinelli, Fabio 11 Pitman, Jim William 11 Resnick, Sidney Ira 11 Vares, Maria Eulalia 11 Wang, Jun 10 Benjamini, Itai 10 Collevecchio, Andrea 10 Griffeath, David 10 Hössjer, Ola G. 10 Konno, Norio 10 Leder, Kevin 10 Newman, Charles Michael 10 Pfaffelhuber, Peter 10 Schapira, Bruno 10 Trapman, Pieter 10 Valesin, Daniel 10 Zhang, Yu 10 Zhang, Yuan 9 Aldous, David John 9 Ball, Frank G. 9 Bertoin, Jean 9 Burdzy, Krzysztof 9 Finkelshteĭn, Dmitriĭ Leonidovich 9 Foxall, Eric 9 Hammond, Alan 9 Hong, Wenming 9 Kyprianou, Andreas E. 9 Penrose, Mathew D. 9 Rassoul-Agha, Firas 9 Roitershtein, Alexander 9 Song, Renming 9 Sun, Yeneng 9 Swindle, Glen H. 9 Toninelli, Cristina 9 Wakolbinger, Anton 8 Bollobás, Béla 8 Britton, Tom 8 Dolgopyat, Dmitry 8 Faggionato, Alessandra 8 Häggström, Olle 8 Hanson, Jack 8 Kondrat’yev, Yuriĭ Grygorovych 8 Liu, Quansheng 8 Marchand, Régine 8 Menshikov, Mikhail V. 8 Mossel, Elchanan 8 Nowak, Martin Andreas 8 Smadi, Charline 8 Steif, Jeffrey E. 8 Sun, Rongfeng 8 Wehr, Jan 8 Yor, Marc 7 Alsmeyer, Gerold 7 Bañuelos, Rodrigo 7 Birkner, Matthias 7 Biskup, Marek 7 Budhiraja, Amarjit S. ...and 4,652 more Authors all top 5 Cited in 480 Serials 230 The Annals of Applied Probability 208 Stochastic Processes and their Applications 207 The Annals of Probability 186 Journal of Statistical Physics 134 Probability Theory and Related Fields 106 Theoretical Population Biology 91 Journal of Theoretical Biology 80 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 77 Journal of Mathematical Biology 77 Electronic Journal of Probability 73 Advances in Applied Probability 73 Journal of Theoretical Probability 72 Journal of Applied Probability 62 Statistics & Probability Letters 54 Communications in Mathematical Physics 46 Random Structures & Algorithms 42 Bernoulli 40 Bulletin of Mathematical Biology 38 Mathematical Biosciences 37 Transactions of the American Mathematical Society 33 ALEA. 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Theory and Methods 14 Automatica 14 Journal of Economic Theory 13 Advances in Mathematics 13 Acta Applicandae Mathematicae 13 Methodology and Computing in Applied Probability 12 Journal of Mathematical Physics 12 Duke Mathematical Journal 12 Journal of Multivariate Analysis 12 Insurance Mathematics & Economics 12 Games and Economic Behavior 12 Stochastics 11 Chaos, Solitons and Fractals 11 Journal of Computational and Applied Mathematics 11 Journal of Econometrics 11 Journal of Statistical Planning and Inference 11 SIAM Journal on Optimization 11 Journal of Machine Learning Research (JMLR) 10 Advances in Applied Mathematics 10 Ergodic Theory and Dynamical Systems 10 Applied Mathematical Modelling 10 Chaos 10 Frontiers of Mathematics in China 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Nonlinearity 9 Statistics 9 European Journal of Operational Research 9 Potential Analysis 9 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 9 Annales Henri Poincaré 9 Stochastics and Dynamics 9 Journal of Physics A: Mathematical and Theoretical 9 Probability Surveys 9 Science China. Mathematics 8 Theory of Probability and its Applications 8 SIAM Journal on Control and Optimization 8 Physica D 8 Annals of Operations Research 8 Bulletin of the American Mathematical Society. New Series 8 Mathematical Programming. Series A. Series B 8 The Electronic Journal of Combinatorics 8 Brazilian Journal of Probability and Statistics 8 Advances in Complex Systems 7 Lithuanian Mathematical Journal 7 Inventiones Mathematicae 7 Journal of Differential Equations 7 Operations Research 7 Stochastic Analysis and Applications 7 Acta Mathematicae Applicatae Sinica. English Series 7 Mathematical Physics, Analysis and Geometry 7 Discrete and Continuous Dynamical Systems. Series B 7 Dynamic Games and Applications 7 Annales Henri Lebesgue 6 Communications on Pure and Applied Mathematics 6 Annals of the Institute of Statistical Mathematics 6 Journal of the Mathematical Society of Japan 6 The Journal of Mathematical Sociology 6 Mathematics and Computers in Simulation 6 Journal of the American Mathematical Society 6 Mathematical and Computer Modelling 6 SIAM Journal on Mathematical Analysis 6 Journal of Nonlinear Science 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI ...and 380 more Serials all top 5 Cited in 58 Fields 2,527 Probability theory and stochastic processes (60-XX) 794 Biology and other natural sciences (92-XX) 645 Statistical mechanics, structure of matter (82-XX) 415 Combinatorics (05-XX) 343 Statistics (62-XX) 334 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 212 Partial differential equations (35-XX) 172 Computer science (68-XX) 170 Operations research, mathematical programming (90-XX) 168 Dynamical systems and ergodic theory (37-XX) 142 Numerical analysis (65-XX) 81 Systems theory; control (93-XX) 77 Measure and integration (28-XX) 59 Ordinary differential equations (34-XX) 45 Number theory (11-XX) 44 Operator theory (47-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 40 Quantum theory (81-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 35 Functions of a complex variable (30-XX) 35 Information and communication theory, circuits (94-XX) 31 Functional analysis (46-XX) 26 Potential theory (31-XX) 25 Group theory and generalizations (20-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 20 Real functions (26-XX) 19 Difference and functional equations (39-XX) 19 Fluid mechanics (76-XX) 18 Convex and discrete geometry (52-XX) 17 Differential geometry (53-XX) 16 Integral equations (45-XX) 16 Global analysis, analysis on manifolds (58-XX) 13 Mathematical logic and foundations (03-XX) 10 Abstract harmonic analysis (43-XX) 9 General and overarching topics; collections (00-XX) 9 Special functions (33-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Algebraic geometry (14-XX) 7 Integral transforms, operational calculus (44-XX) 6 Approximations and expansions (41-XX) 6 Algebraic topology (55-XX) 6 Mechanics of particles and systems (70-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Topological groups, Lie groups (22-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Sequences, series, summability (40-XX) 5 Geometry (51-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) 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 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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