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## Durrett, Richard Timothy

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 Author ID: durrett.richard-t Published as: Durrett, Rick; Durrett, Richard; Durrett, R.; Durrett, Richard T.; Durrett, R. T.; Durrett Homepage: https://services.math.duke.edu/~rtd/ External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 207 Publications since 1976, including 26 Books
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#### 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 Borowiak, Molly 1 Buttel, Linda A. 1 Buttell, L. 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 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 Ning, Fayfay 1 Pei, Justin 1 Pinsky, Mark Allan 1 Pong, Vitchyr He 1 Popovic, Lea 1 Puha, Amber L. 1 Ranjan, Vinit 1 Restrepo, Mateo 1 Rogers, L. C. G. 1 Schmidt, Deena R. ...and 16 more Co-Authors
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#### 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 Mathematical Biosciences and Engineering 1 Astérisque 1 Journal of Theoretical Biology 1 Journal of Complex Networks 1 Mathematical Biosciences Institute Lecture Series. Stochastics in Biological Systems
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#### Fields

 185 Probability theory and stochastic processes (60-XX) 63 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)

#### Citations contained in zbMATH Open

181 Publications have been cited 3,927 times in 3,018 Documents Cited by Year
Probability. Theory and examples. 4th ed. Zbl 1202.60001
Durrett, Rick
2010
Probability. Theory and examples. Zbl 0709.60002
Durrett, Richard
1991
Probability. Theory and examples. 3rd ed. Zbl 1202.60002
Durrett, Rick
2005
The importance of being discrete (and spatial). Zbl 0846.92027
Durrett, Richard; Levin, Simon
1994
Lecture notes on particle systems and percolation. Zbl 0659.60129
Durrett, Richard
1988
Random graph dynamics. Zbl 1116.05001
Durrett, Rick
2007
Oriented percolation in two dimensions. Zbl 0567.60095
Durrett, Richard
1984
Brownian motion and martingales in analysis. Zbl 0554.60075
Durrett, Richard
1984
Fixed points of the smoothing transformation. Zbl 0506.60097
Durrett, Richard; Liggett, Thomas M.
1983
Stochastic calculus. A practical introduction. Zbl 0856.60002
Durrett, Richard
1996
Probability models for DNA sequence evolution. 2nd ed. Zbl 1311.92007
Durrett, Richard
2008
Ten lectures on particle systems. Zbl 0840.60088
Durrett, Rick
1995
Some limit theorems for percolation processes with necessary and sufficient conditions. Zbl 0462.60012
Cox, J. Theodore; Durrett, Richard
1981
Weak convergence to Brownian meander and Brownian excursion. Zbl 0356.60034
Durrett, Richard T.; Iglehart, Donald L.; Miller, Douglas R.
1977
Functional limit theorems for dependent variables. Zbl 0398.60024
Durrett, Richard; Resnick, Sidney I.
1978
Connectivity properties of Mandelbrot’s percolation process. Zbl 0621.60110
Chayes, J. T.; Chayes, L.; Durrett, R.
1988
Contact processes on random graphs with power law degree distributions have critical value 0. Zbl 1205.60168
Chatterjee, Shirshendu; Durrett, Rick
2009
Particle systems and reaction-diffusion equations. Zbl 0799.60093
Durrett, Rick; Neuhauser, Claudia
1994
The shape of the limit set in Richardson’s growth model. Zbl 0457.60083
Durrett, Richard; Liggett, Thomas M.
1981
Spatial aspects of interspecific competition. Zbl 0908.92031
Durrett, Rick; Levin, Simon
1998
Stochastic spatial models. Zbl 0940.60086
Durrett, Rick
1999
On the growth of one dimensional contact processes. Zbl 0457.60082
Durrett, Richard
1980
Probability models for DNA sequence evolution. Zbl 0991.92021
Durrett, Rick
2002
Functionals of Brownian meander and Brownian excursion. Zbl 0356.60035
Durrett, Richard T.; Iglehart, Donald L.
1977
Approximating selective sweeps. Zbl 1111.92042
Durrett, Richard; Schweinsberg, Jason
2004
The contact process on a finite set. Zbl 0647.60105
Durrett, Richard; Liu, Xiu-Fang
1988
The contact process on a finite set. II. Zbl 0664.60106
Durrett, Richard; Schonmann, Roberto H.
1988
Random graph dynamics. Reprint of the 2007 hardback ed. Zbl 1223.05002
Durrett, Rick
2010
Rescaled voter models converge to super-Brownian motion. Zbl 1044.60092
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
2000
Supercritical contact processes on Z. Zbl 0508.60080
Durrett, Richard; Griffeath, David
1983
The equilibrium behavior of reversible coagulation-fragmentation processes. Zbl 0930.60094
Durrett, Richard; Granovsky, Boris L.; Gueron, Shay
1999
Essentials of stochastic processes. Zbl 0940.60004
Durrett, Rick
1999
Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Zbl 0953.60093
Durrett, Richard; Perkins, Edwin A.
1999
A simple proof of the stability criterion of Gray and Griffeath. Zbl 0639.60094
Bramson, Maury; Durrett, Rick
1988
Multicolor particle systems with large threshold and range. Zbl 0751.60095
Durrett, R.
1992
Probability. Theory and examples. 5th edition. Zbl 1440.60001
Durrett, Rick
2019
The contact process in a random environment. Zbl 0741.60097
Bramson, Maury; Durrett, Rick; Schonmann, Roberto H.
1991
Contact processes in several dimensions. Zbl 0483.60089
Durrett, Richard; Griffeath, David
1982
Nonlinear voter models. Zbl 0825.60053
Cox, J. T.; Durrett, R.
1991
Asymptotic behavior of Brownian polymers. Zbl 0767.60080
Durrett, R. T.; Rogers, L. C. G.
1992
Random partitions approximating the coalescence of lineages during a selective sweep. Zbl 1073.92029
Schweinsberg, Jason; Durrett, Rick
2005
Once edge-reinforced random walk on a tree. Zbl 0995.60042
Durrett, Rick; Kesten, Harry; Limic, Vlada
2002
Epidemics with recovery in $$D=2$$. Zbl 0733.92022
Durrett, Rick; Neuhauser, Claudia
1991
A coalescent model for the effect of advantageous mutations on the genealogy of a population. Zbl 1082.92031
Durrett, Rick; Schweinsberg, Jason
2005
Voter model perturbations and reaction diffusion equations. Zbl 1277.60004
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
2013
A waiting time problem arising from the study of multi-stage carcinogenesis. Zbl 1219.92038
Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason
2009
Graph fission in an evolving voter model. Zbl 1256.91042
Durrett, Richard; Gleeson, James P.; Lloyd, Alun L.; Mucha, Peter J.; Shi, Feng; Sivakoff, David; Socolar, Joshua E. S.; Varghese, Chris
2012
Limit theorems for the spread of epidemics and forest fires. Zbl 0667.92016
Cox, J. T.; Durrett, Richard
1988
Oriented percolation in dimensions $$d\geq 4$$: bounds and asymptotic formulas. Zbl 0505.60017
Cox, J. Theodore; Durrett, Richard
1983
A phase transition in the random transposition random walk. Zbl 1102.60005
Berestycki, Nathanaël; Durrett, Rick
2006
Weak convergence with random indices. Zbl 0368.60028
Durrett, Richard T.; Resnick, Sidney I.
1977
Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations. Zbl 1243.60066
Durrett, Rick; Remenik, Daniel
2011
The stepping stone model: New formulas expose old myths. Zbl 1016.60089
Cox, J. Theodore; Durrett, Richard
2002
Fixation results for threshold voter systems. Zbl 0769.60092
Durrett, Richard; Steif, Jeffrey E.
1993
Statistical mechanics of crabgrass. Zbl 0682.60090
Bramson, M.; Durrett, R.; Swindle, G.
1989
Coexistence results for some competition models. Zbl 0873.92020
Durrett, Rick; Neuhauser, Claudia
1997
An infinite particle system with additive interactions. Zbl 0417.60098
Durrett, Richard
1979
The contact process on a finite set. III: The critical case. Zbl 0692.60085
Durrett, Richard; Schonmann, Roberto H.; Tanaka, Nelson I.
1989
Splitting intervals. II: Limit laws for lengths. Zbl 0607.60010
Brennan, Michael D.; Durrett, Richard
1987
Conditioned limit theorems for random walks with negative drift. Zbl 0416.60021
Durrett, Richard
1980
Large deviations for the contact process and two dimensional percolation. Zbl 0621.60108
Durrett, R.; Schonmann, R. H.
1988
Local frequency dependence and global coexistence. Zbl 0951.92032
Molofsky, Jane; Durrett, Richard; Dushoff, Jonathan; Griffeath, David; Levin, Simon
1999
Maxima of branching random walks vs. independent random walks. Zbl 0425.60020
Durrett, Richard
1979
Are there bushes in a forest? Zbl 0722.60106
Durrett, Rick; Swindle, Glen
1991
Splitting intervals. Zbl 0601.60028
Brennan, Michael D.; Durrett, Richard
1986
Some general results concerning the critical exponents of percolation processes. Zbl 0548.60099
Durrett, Richard
1985
Branching process models of cancer. Zbl 1328.92004
Durrett, Richard
2015
An introduction to infinite particle systems. Zbl 0462.60095
Durrett, Richard
1981
Hybrid zones and voter model interfaces. Zbl 0849.60088
Cox, J. T.; Durrett, R.
1995
The genealogy of critical branching processes. Zbl 0394.60082
Durrett, R.
1978
Conditioned limit theorems for some null recurrent Markov processes. Zbl 0398.60023
Durrett, Richard
1978
Critical behavior of the two-dimensional first passage time. Zbl 0629.60109
Chayes, J. T.; Chayes, L.; Durrett, R.
1986
Interacting particle systems at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1464 (1991), 589 (1977), and 390 (1974). Zbl 1248.82021
Durrett, Rick; Liggett, Thomas M.; Spitzer, Frank; Sznitman, Alain-Sol
2012
Evolution of resistance and progression to disease during clonal expansion of cancer. Zbl 1403.92171
Durrett, Richard; Moseley, Stephen
2010
Crabgrass, measles, and gypsy moths: An introduction to modern probability. Zbl 0653.60095
Durrett, Richard
1988
On weighted heights of random trees. Zbl 0718.60099
Durrett, Rick; Kesten, Harry; Waymire, Ed
1991
Asymptotic behavior of excitable cellular automata. Zbl 0796.60100
Durrett, Richard; Griffeath, David
1993
The contact process, 1974-1989. Zbl 0734.60102
Durrett, Rick
1991
Rigorous results for the NK model. Zbl 1049.60037
2003
Estimating tumor growth rates in vivo. Zbl 1339.92035
Talkington, Anne; Durrett, Rick
2015
Annihilating branching processes. Zbl 0745.60085
Bramson, Maury; Ding, Wanding; Durrett, Rick
1991
Ergodicity of reversible reaction diffusion processes. Zbl 0669.60077
Ding, Wan-Ding; Durrett, Richard; Liggett, Thomas M.
1990
A new proof of Spitzer’s result on the winding of two dimensional Brownian motion. Zbl 0479.60081
Durrett, Richard
1982
Intermediate phase for the contact process on a tree. Zbl 0830.60093
Durrett, Rick; Schinazi, Rinaldo
1995
Two phase transitions for the contact process on small worlds. Zbl 1136.60054
Durrett, Rick; Jung, Paul
2007
The stepping stone model. II: Genealogies and the infinite sites model. Zbl 1082.60097
Zähle, Iljana; Cox, J. Theodore; Durrett, Richard
2005
Multidimensional random walks in random environments with subclassical limiting behavior. Zbl 0595.60072
Durrett, Richard
1986
Spatial evolutionary games with small selection coefficients. Zbl 1414.91051
Durrett, Rick
2014
Maxima of branching random walks. Zbl 0488.60090
Durrett, Richard
1983
Complete convergence theorem for a competition model. Zbl 0718.60026
Durrett, R.; Møller, A. M.
1991
A new method for proving the existence of phase transitions. Zbl 0825.60052
Durrett, Rick
1991
Some rigorous results for the Greenberg-Hastings model. Zbl 0741.92001
Durrett, Richard; Steif, Jeffrey E.
1991
Mutual invadability implies coexistence in spatial models. Zbl 0992.60092
Durrett, Rick
2002
Competition and species packing in patchy environments. Zbl 1038.92036
Buttel, Linda A.; Durrett, Richard; Levin, Simon A.
2002
Essentials of stochastic processes. 2nd ed. Zbl 1244.60001
Durrett, Richard
2012
Traveling waves of selective sweeps. Zbl 1219.92037
Durrett, Rick; Mayberry, John
2011
Coexistence in stochastic spatial models. Zbl 1178.60069
Durrett, Rick
2009
Making money from fair games. Zbl 0746.60044
Durrett, R.; Kesten, H.; Lawler, G.
1991
Asymptotic critical value for a competition model. Zbl 0787.60123
Durrett, Richard; Schinazi, Rinaldo
1993
Population genetics of neutral mutations in exponentially growing cancer cell populations. Zbl 1377.92061
Durrett, Rick
2013
The contact process on random graphs and Galton Watson trees. Zbl 1439.60082
Huang, Xiangying; Durrett, Rick
2020
Poisson percolation on the oriented square lattice. Zbl 07157643
Cristali, Irina; Junge, Matthew; Durrett, Rick
2020
The contact process on periodic trees. Zbl 1434.60295
Huang, Xiangying; Durrett, Rick
2020
Probability. Theory and examples. 5th edition. Zbl 1440.60001
Durrett, Rick
2019
Poisson percolation on the square lattice. Zbl 07037571
Cristali, Irina; Junge, Matthew; Durrett, Rick
2019
Ordinary differential equation models for adoptive immunotherapy. Zbl 1394.92066
Talkington, Anne; Dantoin, Claudia; Durrett, Rick
2018
Asymptotic behavior of the Brownian frog model. Zbl 1402.60124
Beckman, Erin; Dinan, Emily; Durrett, Rick; Huo, Ran; Junge, Matthew
2018
Diffusion limit for the partner model at the critical value. Zbl 1402.60123
Basak, Anirban; Durrett, Rick; Foxall, Eric
2018
Block size in geometric($$p$$)-biased permutations. Zbl 1398.05004
Cristali, Irina; Ranjan, Vinit; Steinberg, Jake; Beckman, Erin; Durrett, Rick; Junge, Matthew; Nolen, James
2018
A simple evolutionary game arising from the study of the role of IGF-II in pancreatic cancer. Zbl 1402.60130
Ma, Ruibo; Durrett, Rick
2018
Latent voter model on locally tree-like random graphs. Zbl 1396.60103
Huo, Ran; Durrett, Rick
2018
Phase transitions for a planar quadratic contact process. Zbl 1370.60187
Bessonov, Mariya; Durrett, Richard
2017
Spatial evolutionary games with weak selection. Zbl 1404.91028
Nanda, Mridu; Durrett, Richard
2017
Spatial Moran models. II: Cancer initiation in spatially structured tissue. Zbl 1344.60093
Durrett, R.; Foo, J.; Leder, K.
2016
Genealogies in expanding populations. Zbl 1358.92065
Durrett, Rick; Fan, Wai-Tong (Louis)
2016
Evolutionary games on the torus with weak selection. Zbl 1348.91029
Cox, J. Theodore; Durrett, Rick
2016
Essentials of stochastic processes. 3rd edition. Zbl 1378.60001
Durrett, Richard
2016
Branching process models of cancer. Zbl 1328.92004
Durrett, Richard
2015
Estimating tumor growth rates in vivo. Zbl 1339.92035
Talkington, Anne; Durrett, Rick
2015
Spatial Moran models I. stochastic tunneling in the neutral case. Zbl 1344.60094
Durrett, Richard; Moseley, Stephen
2015
Coexistence of grass, saplings and trees in the Staver-Levin forest model. Zbl 1329.60333
Durrett, Rick; Zhang, Yuan
2015
Spatial evolutionary games with small selection coefficients. Zbl 1414.91051
Durrett, Rick
2014
The contact process with fast voting. Zbl 1291.60203
Durrett, Rick; Liggett, Thomas; Zhang, Yuan
2014
Exact solution for a metapopulation version of Schelling’s model. Zbl 1355.91059
Durrett, Richard; Zhang, Yuan
2014
Voter model perturbations and reaction diffusion equations. Zbl 1277.60004
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
2013
Population genetics of neutral mutations in exponentially growing cancer cell populations. Zbl 1377.92061
Durrett, Rick
2013
Cancer modeling: a personal perspective. Zbl 1322.92013
Durrett, Rick
2013
A first order phase transition in the threshold $$\theta \geq 2$$ contact process on random $$r$$-regular graphs and $$r$$-trees. Zbl 1261.60090
Chatterjee, Shirshendu; Durrett, Rick
2013
Graph fission in an evolving voter model. Zbl 1256.91042
Durrett, Richard; Gleeson, James P.; Lloyd, Alun L.; Mucha, Peter J.; Shi, Feng; Sivakoff, David; Socolar, Joshua E. S.; Varghese, Chris
2012
Interacting particle systems at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1464 (1991), 589 (1977), and 390 (1974). Zbl 1248.82021
Durrett, Rick; Liggett, Thomas M.; Spitzer, Frank; Sznitman, Alain-Sol
2012
Essentials of stochastic processes. 2nd ed. Zbl 1244.60001
Durrett, Richard
2012
Evolution of dispersal distance. Zbl 1311.60115
Durrett, Rick; Remenik, Daniel
2012
A branching process model of ovarian cancer. Zbl 1397.92320
Danesh, Kaveh; Durrett, Rick; Havrilesky, Laura J.; Myers, Evan
2012
Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations. Zbl 1243.60066
Durrett, Rick; Remenik, Daniel
2011
Traveling waves of selective sweeps. Zbl 1219.92037
Durrett, Rick; Mayberry, John
2011
Asymptotic behavior of Aldous’ gossip process. Zbl 1246.60117
Chatterjee, Shirshendu; Durrett, Rick
2011
Persistence of activity in threshold contact processes, an ”annealed approximation” of random Boolean networks. Zbl 1230.05258
Chatterjee, Shirshendu; Durrett, Rick
2011
Probability. Theory and examples. 4th ed. Zbl 1202.60001
Durrett, Rick
2010
Random graph dynamics. Reprint of the 2007 hardback ed. Zbl 1223.05002
Durrett, Rick
2010
Evolution of resistance and progression to disease during clonal expansion of cancer. Zbl 1403.92171
Durrett, Richard; Moseley, Stephen
2010
Evolution in predator-prey systems. Zbl 1190.92038
Durrett, Rick; Mayberry, John
2010
Evolutionary dynamics of tumor progression with random fitness values. Zbl 1403.92172
Durrett, Rick; Foo, Jasmine; Leder, Kevin; Mayberry, John; Michor, Franziska
2010
Contact processes on random graphs with power law degree distributions have critical value 0. Zbl 1205.60168
Chatterjee, Shirshendu; Durrett, Rick
2009
A waiting time problem arising from the study of multi-stage carcinogenesis. Zbl 1219.92038
Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason
2009
Coexistence in stochastic spatial models. Zbl 1178.60069
Durrett, Rick
2009
Degenerate diffusions arising from gene duplication models. Zbl 1211.60038
Durrett, Rick; Popovic, Lea
2009
Coexistence for a multitype contact process with seasons. Zbl 1206.60090
Chan, B.; Durrett, R.; Lanchier, N.
2009
Chaos in a spatial epidemic model. Zbl 1181.92072
Durrett, Rick; Remenik, Daniel
2009
Probability models for DNA sequence evolution. 2nd ed. Zbl 1311.92007
Durrett, Richard
2008
One-dimensional stepping stone models, sardine genetics and Brownian local time. Zbl 1145.92024
Durrett, Richard; Restrepo, Mateo
2008
Coexistence in host-pathogen systems. Zbl 1141.60384
Durrett, R.; Lanchier, N.
2008
Limiting behavior for the distance of a random walk. Zbl 1187.60033
Berestycki, Nathanael; Durrett, Rick
2008
Random graph dynamics. Zbl 1116.05001
Durrett, Rick
2007
Two phase transitions for the contact process on small worlds. Zbl 1136.60054
Durrett, Rick; Jung, Paul
2007
On the width of hybrid zones. Zbl 1141.60061
Durrett, Rick; Zähle, Iljana
2007
Wagner’s canalization model. Zbl 1118.92042
Huerta-Sanchez, Emilia; Durrett, Rick
2007
A phase transition in the random transposition random walk. Zbl 1102.60005
Berestycki, Nathanaël; Durrett, Rick
2006
A new coexistence result for competing contact processes. Zbl 1110.60089
Chan, Benjamin; Durrett, Richard
2006
Probability. Theory and examples. 3rd ed. Zbl 1202.60002
Durrett, Rick
2005
Random partitions approximating the coalescence of lineages during a selective sweep. Zbl 1073.92029
Schweinsberg, Jason; Durrett, Rick
2005
A coalescent model for the effect of advantageous mutations on the genealogy of a population. Zbl 1082.92031
Durrett, Rick; Schweinsberg, Jason
2005
The stepping stone model. II: Genealogies and the infinite sites model. Zbl 1082.60097
Zähle, Iljana; Cox, J. Theodore; Durrett, Richard
2005
Power laws for family sizes in a duplication model. Zbl 1099.92055
Durrett, Rick; Schweinsberg, Jason
2005
Competing super-Brownian motions as limits of interacting particle systems. Zbl 1111.60030
Durrett, Richard; Mytnik, Leonid; Perkins, Edwin
2005
Random Oxford graphs. Zbl 1067.05070
Blasiak, Jonah; Durrett, Rick
2005
Approximating selective sweeps. Zbl 1111.92042
Durrett, Richard; Schweinsberg, Jason
2004
Subfunctionalization: How often does it occur? How long does it take? Zbl 1111.92044
Ward, Rachel; Durrett, Richard
2004
Rigorous results for the NK model. Zbl 1049.60037
2003
Shuffling chromosomes. Zbl 1047.92020
Durrett, Rick
2003
Rigorous result for the CHKNS random graph model. Zbl 1073.82548
Durrett, Rick
2003
A phase transition in the random transposition random walk. Zbl 1073.60525
Berestycki, Nathanaël; Durrett; Rick
2003
Probability models for DNA sequence evolution. Zbl 0991.92021
Durrett, Rick
2002
Once edge-reinforced random walk on a tree. Zbl 0995.60042
Durrett, Rick; Kesten, Harry; Limic, Vlada
2002
The stepping stone model: New formulas expose old myths. Zbl 1016.60089
Cox, J. Theodore; Durrett, Richard
2002
Mutual invadability implies coexistence in spatial models. Zbl 0992.60092
Durrett, Rick
2002
Competition and species packing in patchy environments. Zbl 1038.92036
Buttel, Linda A.; Durrett, Richard; Levin, Simon A.
2002
A surprising Poisson process arising from a species competition model. Zbl 1075.60582
2002
Chutes and ladders in Markov chains. Zbl 0995.60067
Diaconis, Persi; Durrett, Rick
2001
The equilibrium distribution for a generalized Sankoff-Ferretti model accurately predicts chromosome size distributions in a wide variety of species. Zbl 0982.92021
De, Arkendra; Ferguson, Michael; Sindi, Suzanne; Durrett, Richard
2001
On the quantity and quality of single nucleotide polymorphisms in the human genome. Zbl 1050.92021
2001
Rescaled voter models converge to super-Brownian motion. Zbl 1044.60092
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
2000
Boundary modified contact processes. Zbl 0995.60090
Durrett, Rick; Schinazi, Rinaldo B.
2000
Stochastic spatial models. Zbl 0940.60086
Durrett, Rick
1999
The equilibrium behavior of reversible coagulation-fragmentation processes. Zbl 0930.60094
Durrett, Richard; Granovsky, Boris L.; Gueron, Shay
1999
Essentials of stochastic processes. Zbl 0940.60004
Durrett, Rick
1999
Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Zbl 0953.60093
Durrett, Richard; Perkins, Edwin A.
1999
Local frequency dependence and global coexistence. Zbl 0951.92032
Molofsky, Jane; Durrett, Richard; Dushoff, Jonathan; Griffeath, David; Levin, Simon
1999
Rescaled particle systems converging to super-Brownian motion. Zbl 0941.60095
Cox, Ted; Durrett, Richard; Perkins, Edwin A.
1999
A new stochastic model of microsatellite evolution. Zbl 0962.92028
Durrett, Richard; Kruglyak, Semyon
1999
Harry Kesten’s publications. A personal perspective. Zbl 0938.01030
Durrett, Rick
1999
Stochastic spatial models. Zbl 1002.92565
Durrett, Rick
1999
Perplexing problems in probability. Festschrift in honor of Harry Kesten. Zbl 0919.00093
Bramson, Maury; Durrett, Rick
1999
Spatial aspects of interspecific competition. Zbl 0908.92031
Durrett, Rick; Levin, Simon
1998
A spatial model for the abundance of species. Zbl 0935.60100
Bramson, Maury; Cox, J. Theodore; Durrett, Richard
1998
Coexistence results for some competition models. Zbl 0873.92020
Durrett, Rick; Neuhauser, Claudia
1997
Holomorphic diffusions and boundary behavior of harmonic functions. Zbl 0891.60072
Chen, Zhen-Qing; Durrett, Richard; Ma, Gang
1997
Stochastic calculus. A practical introduction. Zbl 0856.60002
Durrett, Richard
1996
Spatial models for species area curves. Zbl 0939.92032
Bramson, Maury; Cox, J. Theodore; Durrett, Richard
1996
Ten lectures on particle systems. Zbl 0840.60088
Durrett, Rick
1995
Hybrid zones and voter model interfaces. Zbl 0849.60088
Cox, J. T.; Durrett, R.
1995
...and 81 more Documents
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#### Cited by 3,802 Authors

 87 Durrett, Richard Timothy 25 Cox, J. Theodore 24 Lanchier, Nicolas 23 Peres, Yuval 21 Mountford, Thomas S. 19 Schinazi, Rinaldo B. 16 Berestycki, Nathanaël 16 van der Hofstad, Remco W. 15 Barral, Julien 15 Bhamidi, Shankar 14 Pemantle, Robin 14 Pittel, Boris G. 14 Schonmann, Roberto Henrique 14 Wade, Andrew R. 13 Baake, Ellen 13 Chen, Zhen-Qing 13 Damron, Michael 13 Gravner, Janko 13 Neuhauser, Claudia 13 Schweinsberg, Jason Ross 13 Sidoravicius, Vladas 13 Xue, Xiaofeng 12 Comets, Francis M. 12 Seppäläinen, Timo 12 Swart, Jan M. 11 Benjamini, Itai 11 Etheridge, Alison Mary 11 Janson, Svante 11 Kesten, Harry 11 Lambert, Amaury 11 Liggett, Thomas Milton 11 Perkins, Edwin A. 11 Pitman, Jim William 11 Ren, Yanxia 11 Vatutin, Vladimir Alekseevich 10 Berestycki, Julien 10 Bramson, Maury D. 10 den Hollander, Frank 10 Ferrari, Pablo Augusto 10 Griffeath, David 10 Hössjer, Ola G. 10 Levin, Simon Asher 10 Martinelli, Fabio 10 Resnick, Sidney Ira 10 Zhang, Yu 9 Burdzy, Krzysztof 9 Hammond, Alan 9 Iksanov, Aleksander M. 9 Limic, Vlada 9 Newman, Charles Michael 9 Penrose, Mathew D. 9 Pfaffelhuber, Peter 9 Roitershtein, Alexander 9 Swindle, Glen H. 9 Trapman, Pieter 9 Wakolbinger, Anton 8 Aldous, David John 8 Bertoin, Jean 8 Bollobás, Béla 8 Buraczewski, Dariusz 8 Finkelshteĭn, Dmitriĭ Leonidovich 8 Foxall, Eric 8 Kondrat’yev, Yuriĭ Grygorovych 8 Konno, Norio 8 Kyprianou, Andreas E. 8 Nowak, Martin Andreas 8 Steif, Jeffrey E. 8 Sun, Rongfeng 8 Toninelli, Cristina 8 Wang, Jun 8 Yor, Marc 7 Asselah, Amine 7 Ball, Frank G. 7 Bañuelos, Rodrigo 7 Birkner, Matthias 7 Biskup, Marek 7 Britton, Tom 7 Chen, Dayue 7 Collevecchio, Andrea 7 Deijfen, Maria 7 Dolgopyat, Dmitry 7 Faggionato, Alessandra 7 Granovsky, Boris L. 7 Häggström, Olle 7 Holmes, Mark P. 7 Hong, Wenming 7 Junge, Matthew 7 Liu, Quansheng 7 Marchand, Régine 7 Markowsky, Greg T. 7 Menshikov, Mikhail V. 7 Mossel, Elchanan 7 Rassoul-Agha, Firas 7 Rhodes, Rémi 7 Schapira, Bruno 7 Sheffield, Scott 7 Sun, Yeneng 7 Vares, Maria Eulalia 7 Vargas, Vincent 7 Wehr, Jan ...and 3,702 more Authors
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#### Cited in 415 Serials

 194 The Annals of Probability 194 The Annals of Applied Probability 182 Stochastic Processes and their Applications 173 Journal of Statistical Physics 131 Probability Theory and Related Fields 98 Theoretical Population Biology 78 Journal of Theoretical Biology 73 Journal of Mathematical Biology 69 Advances in Applied Probability 65 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 64 Journal of Applied Probability 61 Journal of Theoretical Probability 54 Statistics & Probability Letters 47 Communications in Mathematical Physics 41 Electronic Journal of Probability 35 Transactions of the American Mathematical Society 35 Bernoulli 34 Random Structures & Algorithms 33 Mathematical Biosciences 33 Bulletin of Mathematical Biology 21 Journal of Mathematical Analysis and Applications 20 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 19 Combinatorics, Probability and Computing 18 Stochastic Models 17 The Annals of Statistics 17 Proceedings of the American Mathematical Society 17 ALEA. Latin American Journal of Probability and Mathematical Statistics 16 Journal of Functional Analysis 16 Queueing Systems 15 Israel Journal of Mathematics 14 Theoretical Computer Science 14 Electronic Communications in Probability 13 Applied Mathematics and Computation 13 Acta Applicandae Mathematicae 13 Journal of Statistical Mechanics: Theory and Experiment 12 Automatica 12 Duke Mathematical Journal 12 Journal of Economic Theory 12 Games and Economic Behavior 11 Journal of Mathematical Physics 11 Insurance Mathematics & Economics 11 Electronic Journal of Statistics 10 Physica A 10 Advances in Mathematics 10 Journal of Computational and Applied Mathematics 10 Advances in Applied Mathematics 10 Communications in Statistics. Theory and Methods 10 Chaos 10 Methodology and Computing in Applied Probability 9 Journal of Econometrics 9 Journal of Statistical Planning and Inference 9 Statistics 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 Applied Mathematical Modelling 9 Potential Analysis 9 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Nonlinearity 8 Journal of Multivariate Analysis 8 Ergodic Theory and Dynamical Systems 8 European Journal of Operational Research 8 Bulletin of the American Mathematical Society. New Series 8 Advances in Complex Systems 8 Probability Surveys 7 Annals of Operations Research 7 SIAM Journal on Optimization 7 Stochastics 7 Frontiers of Mathematics in China 6 Communications on Pure and Applied Mathematics 6 Chaos, Solitons and Fractals 6 Inventiones Mathematicae 6 Journal of Differential Equations 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 Acta Mathematica Sinica. English Series 6 Annales Henri Poincaré 6 Discrete and Continuous Dynamical Systems. Series B 6 Stochastics and Dynamics 6 Science China. Mathematics 5 Journal d’Analyse Mathématique 5 Journal of the Franklin Institute 5 Lithuanian Mathematical Journal 5 Metrika 5 Theory of Probability and its Applications 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 5 Stochastic Analysis and Applications 5 SIAM Journal on Discrete Mathematics 5 Mathematical Programming. Series A. Series B 5 Journal of Difference Equations and Applications 5 Mathematical Finance 5 Mathematical Physics, Analysis and Geometry 5 Brazilian Journal of Probability and Statistics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris ...and 315 more Serials
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#### Cited in 57 Fields

 2,131 Probability theory and stochastic processes (60-XX) 657 Biology and other natural sciences (92-XX) 535 Statistical mechanics, structure of matter (82-XX) 317 Combinatorics (05-XX) 280 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 264 Statistics (62-XX) 157 Partial differential equations (35-XX) 137 Operations research, mathematical programming (90-XX) 130 Dynamical systems and ergodic theory (37-XX) 129 Computer science (68-XX) 123 Numerical analysis (65-XX) 64 Systems theory; control (93-XX) 62 Measure and integration (28-XX) 44 Ordinary differential equations (34-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 35 Operator theory (47-XX) 34 Number theory (11-XX) 30 Quantum theory (81-XX) 29 Functions of a complex variable (30-XX) 25 Functional analysis (46-XX) 24 Potential theory (31-XX) 23 Information and communication theory, circuits (94-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 19 Group theory and generalizations (20-XX) 17 Real functions (26-XX) 16 Fluid mechanics (76-XX) 15 Difference and functional equations (39-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Convex and discrete geometry (52-XX) 12 Differential geometry (53-XX) 11 Integral equations (45-XX) 10 Mathematical logic and foundations (03-XX) 10 Abstract harmonic analysis (43-XX) 9 Special functions (33-XX) 7 General and overarching topics; collections (00-XX) 7 Integral transforms, operational calculus (44-XX) 7 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 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 General topology (54-XX) 4 Mechanics of deformable solids (74-XX) 4 Relativity and gravitational theory (83-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 3 Mathematics education (97-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 Associative rings and algebras (16-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX)

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