Edit Profile Durrett, Richard Timothy Compute Distance To: Compute Author ID: durrett.richard-t Published as: Durrett; Durrett, R.; Durrett, R. T.; Durrett, Richard; Durrett, Richard T.; Durrett, Rick Homepage: https://services.math.duke.edu/~rtd/ External Links: MGP · Wikidata · GND Documents Indexed: 206 Publications since 1976, including 26 Books all top 5 Co-Authors 63 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 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, Jennifer Tour 2 Chayes, Lincoln 2 Chung, Kai Lai 2 Ding, Wanding 2 Foo, Jasmine 2 Huang, Xiangying 2 Iglehart, Donald L. 2 Jung, Paul H. 2 Lanchier, Nicolas 2 Leder, Kevin 2 Liu, Xiufang 2 Moseley, Stephen 2 Resnick, Sidney Ira 2 Sivakoff, David 2 Steif, Jeffrey E. 2 Talkington, Anne 2 Varghese, Chris 2 Zähle, Iljana 1 Aldous, David John 1 Allouba, Hassan 1 Basak, Anirban 1 Bessonov, Mariya 1 Biane, Philippe 1 Blasiak, Jonah 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 Ferguson, Michael I. 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 Huerta-Sanchez, Emilia 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 Nolen, James H. 1 Pinsky, Mark Allan 1 Pong, Vitchyr He 1 Popovic, Lea 1 Puha, Amber L. 1 Ranjan, Vinit 1 Restrepo, Mateo 1 Rick, Johannes 1 Rogers, L. C. G. ...and 15 more Co-Authors all top 5 Serials 28 The Annals of Probability 22 The Annals of Applied Probability 19 Stochastic Processes and their Applications 13 Probability Theory and Related Fields 11 Theoretical Population Biology 8 Journal of Theoretical Probability 7 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 Astérisque 1 Journal of Theoretical Biology 1 Journal of Complex Networks all top 5 Fields 185 Probability theory and stochastic processes (60-XX) 62 Biology and other natural sciences (92-XX) 16 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 Statistics (62-XX) 5 Computer science (68-XX) 4 History and biography (01-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 181 Publications have been cited 3,992 times in 3,064 Documents Cited by ▼ Year ▼ Probability. Theory and examples. 4th ed. Zbl 1202.60001Durrett, Rick 654 2010 Probability. Theory and examples. Zbl 0709.60002Durrett, Richard 291 1991 Probability. Theory and examples. 3rd ed. Zbl 1202.60002Durrett, Rick 214 2005 The importance of being discrete (and spatial). Zbl 0846.92027Durrett, Richard; Levin, Simon 160 1994 Lecture notes on particle systems and percolation. Zbl 0659.60129Durrett, Richard 156 1988 Random graph dynamics. Zbl 1116.05001Durrett, Rick 142 2007 Oriented percolation in two dimensions. Zbl 0567.60095Durrett, Richard 120 1984 Brownian motion and martingales in analysis. Zbl 0554.60075Durrett, Richard 118 1984 Stochastic calculus. A practical introduction. Zbl 0856.60002Durrett, Richard 99 1996 Fixed points of the smoothing transformation. Zbl 0506.60097Durrett, Richard; Liggett, Thomas M. 97 1983 Probability models for DNA sequence evolution. 2nd ed. Zbl 1311.92007Durrett, Richard 82 2008 Ten lectures on particle systems. Zbl 0840.60088Durrett, Rick 69 1995 Some limit theorems for percolation processes with necessary and sufficient conditions. Zbl 0462.60012Cox, J. Theodore; Durrett, Richard 65 1981 Functional limit theorems for dependent variables. Zbl 0398.60024Durrett, Richard; Resnick, Sidney I. 40 1978 Weak convergence to Brownian meander and Brownian excursion. Zbl 0356.60034Durrett, Richard T.; Iglehart, Donald L.; Miller, Douglas R. 40 1977 Particle systems and reaction-diffusion equations. Zbl 0799.60093Durrett, Rick; Neuhauser, Claudia 39 1994 Connectivity properties of Mandelbrot’s percolation process. Zbl 0621.60110Chayes, J. T.; Chayes, L.; Durrett, R. 38 1988 Stochastic spatial models. Zbl 0940.60086Durrett, Rick 37 1999 Probability models for DNA sequence evolution. Zbl 0991.92021Durrett, Rick 36 2002 Spatial aspects of interspecific competition. Zbl 0908.92031Durrett, Rick; Levin, Simon 36 1998 Contact processes on random graphs with power law degree distributions have critical value 0. Zbl 1205.60168Chatterjee, Shirshendu; Durrett, Rick 35 2009 The shape of the limit set in Richardson’s growth model. Zbl 0457.60083Durrett, Richard; Liggett, Thomas M. 35 1981 On the growth of one dimensional contact processes. Zbl 0457.60082Durrett, Richard 35 1980 Approximating selective sweeps. Zbl 1111.92042Durrett, Richard; Schweinsberg, Jason 28 2004 Random graph dynamics. Reprint of the 2007 hardback ed. Zbl 1223.05002Durrett, Rick 26 2010 Essentials of stochastic processes. Zbl 0940.60004Durrett, Rick 26 1999 The contact process on a finite set. II. Zbl 0664.60106Durrett, Richard; Schonmann, Roberto H. 26 1988 The contact process on a finite set. Zbl 0647.60105Durrett, Richard; Liu, Xiu-Fang 26 1988 Functionals of Brownian meander and Brownian excursion. Zbl 0356.60035Durrett, Richard T.; Iglehart, Donald L. 25 1977 Rescaled voter models converge to super-Brownian motion. Zbl 1044.60092Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. 24 2000 The equilibrium behavior of reversible coagulation-fragmentation processes. Zbl 0930.60094Durrett, Richard; Granovsky, Boris L.; Gueron, Shay 24 1999 Supercritical contact processes on Z. Zbl 0508.60080Durrett, Richard; Griffeath, David 24 1983 Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Zbl 0953.60093Durrett, Richard; Perkins, Edwin A. 22 1999 Multicolor particle systems with large threshold and range. Zbl 0751.60095Durrett, R. 22 1992 The contact process in a random environment. Zbl 0741.60097Bramson, Maury; Durrett, Rick; Schonmann, Roberto H. 22 1991 A simple proof of the stability criterion of Gray and Griffeath. Zbl 0639.60094Bramson, Maury; Durrett, Rick 22 1988 Contact processes in several dimensions. Zbl 0483.60089Durrett, Richard; Griffeath, David 22 1982 Nonlinear voter models. Zbl 0825.60053Cox, J. T.; Durrett, R. 20 1991 Voter model perturbations and reaction diffusion equations. Zbl 1277.60004Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. 19 2013 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 19 2005 Epidemics with recovery in \(D=2\). Zbl 0733.92022Durrett, Rick; Neuhauser, Claudia 19 1991 Once edge-reinforced random walk on a tree. Zbl 0995.60042Durrett, Rick; Kesten, Harry; Limic, Vlada 18 2002 Asymptotic behavior of Brownian polymers. Zbl 0767.60080Durrett, R. T.; Rogers, L. C. G. 18 1992 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 17 2012 A waiting time problem arising from the study of multi-stage carcinogenesis. Zbl 1219.92038Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason 17 2009 A phase transition in the random transposition random walk. Zbl 1102.60005Berestycki, Nathanaël; Durrett, Rick 17 2006 Limit theorems for the spread of epidemics and forest fires. Zbl 0667.92016Cox, J. T.; Durrett, Richard 17 1988 Oriented percolation in dimensions \(d\geq 4\): bounds and asymptotic formulas. Zbl 0505.60017Cox, J. Theodore; Durrett, Richard 17 1983 The stepping stone model: New formulas expose old myths. Zbl 1016.60089Cox, J. Theodore; Durrett, Richard 16 2002 An infinite particle system with additive interactions. Zbl 0417.60098Durrett, Richard 16 1979 Weak convergence with random indices. Zbl 0368.60028Durrett, Richard T.; Resnick, Sidney I. 16 1977 Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations. Zbl 1243.60066Durrett, Rick; Remenik, Daniel 15 2011 Evolution of resistance and progression to disease during clonal expansion of cancer. Zbl 1403.92171Durrett, Richard; Moseley, Stephen 15 2010 Coexistence results for some competition models. Zbl 0873.92020Durrett, Rick; Neuhauser, Claudia 15 1997 Fixation results for threshold voter systems. Zbl 0769.60092Durrett, Richard; Steif, Jeffrey E. 15 1993 Statistical mechanics of crabgrass. Zbl 0682.60090Bramson, M.; Durrett, R.; Swindle, G. 15 1989 Splitting intervals. II: Limit laws for lengths. Zbl 0607.60010Brennan, Michael D.; Durrett, Richard 15 1987 Probability. Theory and examples. 5th edition. Zbl 1440.60001Durrett, Rick 14 2019 The contact process on a finite set. III: The critical case. Zbl 0692.60085Durrett, Richard; Schonmann, Roberto H.; Tanaka, Nelson I. 14 1989 Large deviations for the contact process and two dimensional percolation. Zbl 0621.60108Durrett, R.; Schonmann, R. H. 13 1988 Maxima of branching random walks vs. independent random walks. Zbl 0425.60020Durrett, Richard 13 1979 Local frequency dependence and global coexistence. Zbl 0951.92032Molofsky, Jane; Durrett, Richard; Dushoff, Jonathan; Griffeath, David; Levin, Simon 12 1999 Are there bushes in a forest? Zbl 0722.60106Durrett, Rick; Swindle, Glen 12 1991 Splitting intervals. Zbl 0601.60028Brennan, Michael D.; Durrett, Richard 12 1986 Some general results concerning the critical exponents of percolation processes. Zbl 0548.60099Durrett, Richard 12 1985 Conditioned limit theorems for random walks with negative drift. Zbl 0416.60021Durrett, Richard 12 1980 Hybrid zones and voter model interfaces. Zbl 0849.60088Cox, J. T.; Durrett, R. 11 1995 On weighted heights of random trees. Zbl 0718.60099Durrett, Rick; Kesten, Harry; Waymire, Ed 11 1991 An introduction to infinite particle systems. Zbl 0462.60095Durrett, Richard 11 1981 The genealogy of critical branching processes. Zbl 0394.60082Durrett, R. 11 1978 Branching process models of cancer. Zbl 1328.92004Durrett, Richard 10 2015 Rigorous results for the NK model. Zbl 1049.60037Durrett, Richard; Limic, Vlada 10 2003 Asymptotic behavior of excitable cellular automata. Zbl 0796.60100Durrett, Richard; Griffeath, David 10 1993 The contact process, 1974-1989. Zbl 0734.60102Durrett, Rick 10 1991 A new method for proving the existence of phase transitions. Zbl 0825.60052Durrett, Rick 10 1991 Annihilating branching processes. Zbl 0745.60085Bramson, Maury; Ding, Wanding; Durrett, Rick 10 1991 Critical behavior of the two-dimensional first passage time. Zbl 0629.60109Chayes, J. T.; Chayes, L.; Durrett, R. 10 1986 Multidimensional random walks in random environments with subclassical limiting behavior. Zbl 0595.60072Durrett, Richard 10 1986 Conditioned limit theorems for some null recurrent Markov processes. Zbl 0398.60023Durrett, Richard 10 1978 Spatial evolutionary games with small selection coefficients. Zbl 1414.91051Durrett, Rick 9 2014 Two phase transitions for the contact process on small worlds. Zbl 1136.60054Durrett, Rick; Jung, Paul 9 2007 The stepping stone model. II: Genealogies and the infinite sites model. Zbl 1082.60097Zähle, Iljana; Cox, J. Theodore; Durrett, Richard 9 2005 Mutual invadability implies coexistence in spatial models. Zbl 0992.60092Durrett, Rick 9 2002 Intermediate phase for the contact process on a tree. Zbl 0830.60093Durrett, Rick; Schinazi, Rinaldo 9 1995 Ergodicity of reversible reaction diffusion processes. Zbl 0669.60077Ding, Wan-Ding; Durrett, Richard; Liggett, Thomas M. 9 1990 Crabgrass, measles, and gypsy moths: An introduction to modern probability. Zbl 0653.60095Durrett, Richard 9 1988 Maxima of branching random walks. Zbl 0488.60090Durrett, Richard 9 1983 A new proof of Spitzer’s result on the winding of two dimensional Brownian motion. Zbl 0479.60081Durrett, Richard 9 1982 Essentials of stochastic processes. 2nd ed. Zbl 1244.60001Durrett, Richard 8 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 8 2012 Traveling waves of selective sweeps. Zbl 1219.92037Durrett, Rick; Mayberry, John 8 2011 Competition and species packing in patchy environments. Zbl 1038.92036Buttel, Linda A.; Durrett, Richard; Levin, Simon A. 8 2002 Complete convergence theorem for a competition model. Zbl 0718.60026Durrett, R.; Møller, A. M. 8 1991 Some rigorous results for the Greenberg-Hastings model. Zbl 0741.92001Durrett, Richard; Steif, Jeffrey E. 8 1991 Estimating tumor growth rates in vivo. Zbl 1339.92035Talkington, Anne; Durrett, Rick 7 2015 Population genetics of neutral mutations in exponentially growing cancer cell populations. Zbl 1377.92061Durrett, Rick 7 2013 Coexistence in stochastic spatial models. Zbl 1178.60069Durrett, Rick 7 2009 Asymptotic critical value for a competition model. Zbl 0787.60123Durrett, Richard; Schinazi, Rinaldo 7 1993 Making money from fair games. Zbl 0746.60044Durrett, R.; Kesten, H.; Lawler, G. 7 1991 The contact process on random graphs and Galton Watson trees. Zbl 1439.60082Huang, Xiangying; Durrett, Rick 2 2020 Poisson percolation on the oriented square lattice. Zbl 07157643Cristali, Irina; Junge, Matthew; Durrett, Rick 1 2020 Probability. Theory and examples. 5th edition. Zbl 1440.60001Durrett, Rick 14 2019 Poisson percolation on the square lattice. Zbl 07037571Cristali, Irina; Junge, Matthew; Durrett, Rick 2 2019 Ordinary differential equation models for adoptive immunotherapy. Zbl 1394.92066Talkington, Anne; Dantoin, Claudia; Durrett, Rick 5 2018 Asymptotic behavior of the Brownian frog model. Zbl 1402.60124Beckman, Erin; Dinan, Emily; Durrett, Rick; Huo, Ran; Junge, Matthew 3 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 Diffusion limit for the partner model at the critical value. Zbl 1402.60123Basak, Anirban; Durrett, Rick; Foxall, Eric 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 Latent voter model on locally tree-like random graphs. Zbl 1396.60103Huo, Ran; Durrett, Rick 1 2018 Spatial evolutionary games with weak selection. Zbl 1404.91028Nanda, Mridu; Durrett, Richard 2 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. 6 2016 Evolutionary games on the torus with weak selection. Zbl 1348.91029Cox, J. Theodore; Durrett, Rick 5 2016 Essentials of stochastic processes. 3rd edition. Zbl 1378.60001Durrett, Richard 4 2016 Genealogies in expanding populations. Zbl 1358.92065Durrett, Rick; Fan, Wai-Tong (Louis) 2 2016 Branching process models of cancer. Zbl 1328.92004Durrett, Richard 10 2015 Estimating tumor growth rates in vivo. Zbl 1339.92035Talkington, Anne; Durrett, Rick 7 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 9 2014 Exact solution for a metapopulation version of Schelling’s model. Zbl 1355.91059Durrett, Richard; Zhang, Yuan 2 2014 The contact process with fast voting. Zbl 1291.60203Durrett, Rick; Liggett, Thomas; Zhang, Yuan 2 2014 Voter model perturbations and reaction diffusion equations. Zbl 1277.60004Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. 19 2013 Population genetics of neutral mutations in exponentially growing cancer cell populations. Zbl 1377.92061Durrett, Rick 7 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 17 2012 Essentials of stochastic processes. 2nd ed. Zbl 1244.60001Durrett, Richard 8 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 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 2 2012 Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations. Zbl 1243.60066Durrett, Rick; Remenik, Daniel 15 2011 Traveling waves of selective sweeps. Zbl 1219.92037Durrett, Rick; Mayberry, John 8 2011 Asymptotic behavior of Aldous’ gossip process. Zbl 1246.60117Chatterjee, Shirshendu; Durrett, Rick 6 2011 Persistence of activity in threshold contact processes, an ”annealed approximation” of random Boolean networks. Zbl 1230.05258Chatterjee, Shirshendu; Durrett, Rick 2 2011 Probability. Theory and examples. 4th ed. Zbl 1202.60001Durrett, Rick 654 2010 Random graph dynamics. Reprint of the 2007 hardback ed. Zbl 1223.05002Durrett, Rick 26 2010 Evolution of resistance and progression to disease during clonal expansion of cancer. Zbl 1403.92171Durrett, Richard; Moseley, Stephen 15 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 35 2009 A waiting time problem arising from the study of multi-stage carcinogenesis. Zbl 1219.92038Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason 17 2009 Coexistence in stochastic spatial models. Zbl 1178.60069Durrett, Rick 7 2009 Degenerate diffusions arising from gene duplication models. Zbl 1211.60038Durrett, Rick; Popovic, Lea 3 2009 Coexistence for a multitype contact process with seasons. Zbl 1206.60090Chan, B.; Durrett, R.; Lanchier, N. 1 2009 Chaos in a spatial epidemic model. Zbl 1181.92072Durrett, Rick; Remenik, Daniel 1 2009 Probability models for DNA sequence evolution. 2nd ed. Zbl 1311.92007Durrett, Richard 82 2008 Coexistence in host-pathogen systems. Zbl 1141.60384Durrett, R.; Lanchier, N. 6 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 9 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 17 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 214 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 19 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 5 2005 Competing super-Brownian motions as limits of interacting particle systems. Zbl 1111.60030Durrett, Richard; Mytnik, Leonid; Perkins, Edwin 3 2005 Random Oxford graphs. Zbl 1067.05070Blasiak, Jonah; Durrett, Rick 1 2005 Approximating selective sweeps. Zbl 1111.92042Durrett, Richard; Schweinsberg, Jason 28 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 18 2002 The stepping stone model: New formulas expose old myths. Zbl 1016.60089Cox, J. Theodore; Durrett, Richard 16 2002 Mutual invadability implies coexistence in spatial models. Zbl 0992.60092Durrett, Rick 9 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. 24 2000 Boundary modified contact processes. Zbl 0995.60090Durrett, Rick; Schinazi, Rinaldo B. 6 2000 Stochastic spatial models. Zbl 0940.60086Durrett, Rick 37 1999 Essentials of stochastic processes. Zbl 0940.60004Durrett, Rick 26 1999 The equilibrium behavior of reversible coagulation-fragmentation processes. Zbl 0930.60094Durrett, Richard; Granovsky, Boris L.; Gueron, Shay 24 1999 Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Zbl 0953.60093Durrett, Richard; Perkins, Edwin A. 22 1999 Local frequency dependence and global coexistence. Zbl 0951.92032Molofsky, Jane; Durrett, Richard; Dushoff, Jonathan; Griffeath, David; Levin, Simon 12 1999 Rescaled particle systems converging to super-Brownian motion. Zbl 0941.60095Cox, Ted; Durrett, Richard; Perkins, Edwin A. 4 1999 Stochastic spatial models. Zbl 1002.92565Durrett, Rick 3 1999 A new stochastic model of microsatellite evolution. Zbl 0962.92028Durrett, Richard; Kruglyak, Semyon 2 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 0930.00085Capasso, V. (ed.); Diekmann, O. (ed.); Durrett, R.; Hadeler, K. P.; Maini, P.; Smith, H. L. 2 1999 Harry Kesten’s publications. A personal perspective. Zbl 0938.01030Durrett, Rick 1 1999 Perplexing problems in probability. Festschrift in honor of Harry Kesten. Zbl 0919.00093Bramson, Maury (ed.); Durrett, Rick (ed.) 1 1999 Spatial aspects of interspecific competition. Zbl 0908.92031Durrett, Rick; Levin, Simon 36 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 99 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 69 1995 Hybrid zones and voter model interfaces. Zbl 0849.60088Cox, J. T.; Durrett, R. 11 1995 ...and 81 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,962 Authors 88 Durrett, Richard Timothy 25 Cox, J. Theodore 24 Lanchier, Nicolas 23 Peres, Yuval 20 Mountford, Thomas S. 19 Schinazi, Rinaldo B. 16 Berestycki, Nathanaël 16 van der Hofstad, Remco W. 15 Barral, Julien 15 Pemantle, Robin 15 Pittel, Boris G. 14 Bhamidi, Shankar 14 Chen, Zhen-Qing 14 Schonmann, Roberto Henrique 14 Schweinsberg, Jason Ross 14 Wade, Andrew R. 14 Xue, Xiaofeng 13 Baake, Ellen 13 Damron, Michael 13 Gravner, Janko 13 Liggett, Thomas Milton 13 Neuhauser, Claudia 13 Sidoravicius, Vladas 12 Comets, Francis M. 12 den Hollander, Frank 12 Lambert, Amaury 12 Swart, Jan M. 12 Vatutin, Vladimir Alekseevich 11 Benjamini, Itai 11 Ferrari, Pablo Augusto 11 Janson, Svante 11 Kesten, Harry 11 Perkins, Edwin A. 11 Pitman, Jim William 11 Ren, Yanxia 11 Seppäläinen, Timo 10 Bramson, Maury D. 10 Etheridge, Alison Mary 10 Griffeath, David 10 Hössjer, Ola G. 10 Levin, Simon Asher 10 Limic, Vlada 10 Resnick, Sidney Ira 10 Steif, Jeffrey E. 10 Trapman, Pieter 10 Zhang, Yu 9 Ball, Frank G. 9 Berestycki, Julien 9 Hammond, Alan 9 Konno, Norio 9 Martinelli, Fabio 9 Newman, Charles Michael 9 Penrose, Mathew D. 9 Pfaffelhuber, Peter 9 Swindle, Glen H. 8 Aldous, David John 8 Bertoin, Jean 8 Biskup, Marek 8 Bollobás, Béla 8 Burdzy, Krzysztof 8 Holmes, Mark P. 8 Iksanov, Aleksander M. 8 Kyprianou, Andreas E. 8 Liu, Quansheng 8 Nowak, Martin Andreas 8 Roitershtein, Alexander 8 Sun, Rongfeng 8 Toninelli, Cristina 8 Wakolbinger, Anton 8 Wang, Jun 8 Wehr, Jan 8 Yor, Marc 7 Asselah, Amine 7 Bañuelos, Rodrigo 7 Birkner, Matthias 7 Britton, Tom 7 Buraczewski, Dariusz 7 Chen, Dayue 7 Collevecchio, Andrea 7 Faggionato, Alessandra 7 Finkelshteĭn, Dmitriĭ Leonidovich 7 Foo, Jasmine 7 Foxall, Eric 7 Granovsky, Boris L. 7 Greven, Andreas 7 Häggström, Olle 7 Hong, Wenming 7 Kondrat’yev, Yuriĭ Grygorovych 7 Leder, Kevin 7 Marchand, Régine 7 Markowsky, Greg T. 7 Menshikov, Mikhail V. 7 Rassoul-Agha, Firas 7 Rhodes, Rémi 7 Rolles, Silke W. W. 7 Sheffield, Scott 7 Sun, Yeneng 7 Vargas, Vincent 7 Volkov, Stanislav 6 Allen, Benjamin L. ...and 3,862 more Authors all top 5 Cited in 400 Serials 209 Stochastic Processes and their Applications 194 The Annals of Applied Probability 190 The Annals of Probability 171 Journal of Statistical Physics 130 Probability Theory and Related Fields 98 Theoretical Population Biology 77 Journal of Theoretical Biology 69 Journal of Mathematical Biology 69 Statistics & Probability Letters 67 Advances in Applied Probability 63 Journal of Applied Probability 61 Annales de l’Institut Henri Poincaré. 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Mathematics 5 Journal d’Analyse Mathématique 5 Journal of the Franklin Institute 5 Lithuanian Mathematical Journal 5 Metrika 5 Reports on Mathematical Physics 5 Theory of Probability and its Applications 5 Annals of the Institute of Statistical Mathematics 5 Journal of Mathematical Economics 5 Mathematics and Computers in Simulation 5 Operations Research Letters 5 Journal of Time Series Analysis 5 Stochastic Analysis and Applications 5 Acta Mathematicae Applicatae Sinica. English Series 5 Discrete Mathematics and Applications 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Mathematical Programming. Series A. Series B 5 Journal of Difference Equations and Applications ...and 300 more Serials all top 5 Cited in 58 Fields 2,143 Probability theory and stochastic processes (60-XX) 646 Biology and other natural sciences (92-XX) 537 Statistical mechanics, structure of matter (82-XX) 316 Combinatorics (05-XX) 300 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 280 Statistics (62-XX) 159 Partial differential equations (35-XX) 137 Operations research, mathematical programming (90-XX) 133 Computer science (68-XX) 129 Dynamical systems and ergodic theory (37-XX) 125 Numerical analysis (65-XX) 70 Systems theory; control (93-XX) 61 Measure and integration (28-XX) 45 Ordinary differential equations (34-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 35 Operator theory (47-XX) 33 Number theory (11-XX) 31 Quantum theory (81-XX) 27 Functional analysis (46-XX) 27 Information and communication theory, circuits (94-XX) 25 Functions of a complex variable (30-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 23 Potential theory (31-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 18 Group theory and generalizations (20-XX) 17 Fluid mechanics (76-XX) 16 Real functions (26-XX) 14 Difference and functional equations (39-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Integral equations (45-XX) 11 Differential geometry (53-XX) 10 Abstract harmonic analysis (43-XX) 10 Convex and discrete geometry (52-XX) 9 Mathematical logic and foundations (03-XX) 8 Special functions (33-XX) 7 General and overarching topics; collections (00-XX) 6 Integral transforms, operational calculus (44-XX) 6 Classical thermodynamics, heat transfer (80-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 General topology (54-XX) 5 Mechanics of particles and systems (70-XX) 4 History and biography (01-XX) 4 Algebraic geometry (14-XX) 4 Approximations and expansions (41-XX) 4 Relativity and gravitational theory (83-XX) 4 Mathematics education (97-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 3 Mechanics of deformable solids (74-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 1 Associative rings and algebras (16-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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