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Durrett, Richard Timothy

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Author ID: durrett.richard-t Recent zbMATH articles by "Durrett, Richard Timothy"
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

Publications by Year

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 1202.60001
Durrett, Rick
654
2010
Probability. Theory and examples. Zbl 0709.60002
Durrett, Richard
291
1991
Probability. Theory and examples. 3rd ed. Zbl 1202.60002
Durrett, Rick
214
2005
The importance of being discrete (and spatial). Zbl 0846.92027
Durrett, Richard; Levin, Simon
160
1994
Lecture notes on particle systems and percolation. Zbl 0659.60129
Durrett, Richard
156
1988
Random graph dynamics. Zbl 1116.05001
Durrett, Rick
142
2007
Oriented percolation in two dimensions. Zbl 0567.60095
Durrett, Richard
120
1984
Brownian motion and martingales in analysis. Zbl 0554.60075
Durrett, Richard
118
1984
Stochastic calculus. A practical introduction. Zbl 0856.60002
Durrett, Richard
99
1996
Fixed points of the smoothing transformation. Zbl 0506.60097
Durrett, Richard; Liggett, Thomas M.
97
1983
Probability models for DNA sequence evolution. 2nd ed. Zbl 1311.92007
Durrett, Richard
82
2008
Ten lectures on particle systems. Zbl 0840.60088
Durrett, Rick
69
1995
Some limit theorems for percolation processes with necessary and sufficient conditions. Zbl 0462.60012
Cox, J. Theodore; Durrett, Richard
65
1981
Functional limit theorems for dependent variables. Zbl 0398.60024
Durrett, Richard; Resnick, Sidney I.
40
1978
Weak convergence to Brownian meander and Brownian excursion. Zbl 0356.60034
Durrett, Richard T.; Iglehart, Donald L.; Miller, Douglas R.
40
1977
Particle systems and reaction-diffusion equations. Zbl 0799.60093
Durrett, Rick; Neuhauser, Claudia
39
1994
Connectivity properties of Mandelbrot’s percolation process. Zbl 0621.60110
Chayes, J. T.; Chayes, L.; Durrett, R.
38
1988
Stochastic spatial models. Zbl 0940.60086
Durrett, Rick
37
1999
Probability models for DNA sequence evolution. Zbl 0991.92021
Durrett, Rick
36
2002
Spatial aspects of interspecific competition. Zbl 0908.92031
Durrett, Rick; Levin, Simon
36
1998
Contact processes on random graphs with power law degree distributions have critical value 0. Zbl 1205.60168
Chatterjee, Shirshendu; Durrett, Rick
35
2009
The shape of the limit set in Richardson’s growth model. Zbl 0457.60083
Durrett, Richard; Liggett, Thomas M.
35
1981
On the growth of one dimensional contact processes. Zbl 0457.60082
Durrett, Richard
35
1980
Approximating selective sweeps. Zbl 1111.92042
Durrett, Richard; Schweinsberg, Jason
28
2004
Random graph dynamics. Reprint of the 2007 hardback ed. Zbl 1223.05002
Durrett, Rick
26
2010
Essentials of stochastic processes. Zbl 0940.60004
Durrett, Rick
26
1999
The contact process on a finite set. II. Zbl 0664.60106
Durrett, Richard; Schonmann, Roberto H.
26
1988
The contact process on a finite set. Zbl 0647.60105
Durrett, Richard; Liu, Xiu-Fang
26
1988
Functionals of Brownian meander and Brownian excursion. Zbl 0356.60035
Durrett, Richard T.; Iglehart, Donald L.
25
1977
Rescaled voter models converge to super-Brownian motion. Zbl 1044.60092
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
24
2000
The equilibrium behavior of reversible coagulation-fragmentation processes. Zbl 0930.60094
Durrett, Richard; Granovsky, Boris L.; Gueron, Shay
24
1999
Supercritical contact processes on Z. Zbl 0508.60080
Durrett, Richard; Griffeath, David
24
1983
Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Zbl 0953.60093
Durrett, Richard; Perkins, Edwin A.
22
1999
Multicolor particle systems with large threshold and range. Zbl 0751.60095
Durrett, R.
22
1992
The contact process in a random environment. Zbl 0741.60097
Bramson, Maury; Durrett, Rick; Schonmann, Roberto H.
22
1991
A simple proof of the stability criterion of Gray and Griffeath. Zbl 0639.60094
Bramson, Maury; Durrett, Rick
22
1988
Contact processes in several dimensions. Zbl 0483.60089
Durrett, Richard; Griffeath, David
22
1982
Nonlinear voter models. Zbl 0825.60053
Cox, J. T.; Durrett, R.
20
1991
Voter model perturbations and reaction diffusion equations. Zbl 1277.60004
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
19
2013
Random partitions approximating the coalescence of lineages during a selective sweep. Zbl 1073.92029
Schweinsberg, Jason; Durrett, Rick
19
2005
A coalescent model for the effect of advantageous mutations on the genealogy of a population. Zbl 1082.92031
Durrett, Rick; Schweinsberg, Jason
19
2005
Epidemics with recovery in \(D=2\). Zbl 0733.92022
Durrett, Rick; Neuhauser, Claudia
19
1991
Once edge-reinforced random walk on a tree. Zbl 0995.60042
Durrett, Rick; Kesten, Harry; Limic, Vlada
18
2002
Asymptotic behavior of Brownian polymers. Zbl 0767.60080
Durrett, R. T.; Rogers, L. C. G.
18
1992
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
17
2012
A waiting time problem arising from the study of multi-stage carcinogenesis. Zbl 1219.92038
Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason
17
2009
A phase transition in the random transposition random walk. Zbl 1102.60005
Berestycki, Nathanaël; Durrett, Rick
17
2006
Limit theorems for the spread of epidemics and forest fires. Zbl 0667.92016
Cox, J. T.; Durrett, Richard
17
1988
Oriented percolation in dimensions \(d\geq 4\): bounds and asymptotic formulas. Zbl 0505.60017
Cox, J. Theodore; Durrett, Richard
17
1983
The stepping stone model: New formulas expose old myths. Zbl 1016.60089
Cox, J. Theodore; Durrett, Richard
16
2002
An infinite particle system with additive interactions. Zbl 0417.60098
Durrett, Richard
16
1979
Weak convergence with random indices. Zbl 0368.60028
Durrett, Richard T.; Resnick, Sidney I.
16
1977
Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations. Zbl 1243.60066
Durrett, Rick; Remenik, Daniel
15
2011
Evolution of resistance and progression to disease during clonal expansion of cancer. Zbl 1403.92171
Durrett, Richard; Moseley, Stephen
15
2010
Coexistence results for some competition models. Zbl 0873.92020
Durrett, Rick; Neuhauser, Claudia
15
1997
Fixation results for threshold voter systems. Zbl 0769.60092
Durrett, Richard; Steif, Jeffrey E.
15
1993
Statistical mechanics of crabgrass. Zbl 0682.60090
Bramson, M.; Durrett, R.; Swindle, G.
15
1989
Splitting intervals. II: Limit laws for lengths. Zbl 0607.60010
Brennan, Michael D.; Durrett, Richard
15
1987
Probability. Theory and examples. 5th edition. Zbl 1440.60001
Durrett, Rick
14
2019
The contact process on a finite set. III: The critical case. Zbl 0692.60085
Durrett, Richard; Schonmann, Roberto H.; Tanaka, Nelson I.
14
1989
Large deviations for the contact process and two dimensional percolation. Zbl 0621.60108
Durrett, R.; Schonmann, R. H.
13
1988
Maxima of branching random walks vs. independent random walks. Zbl 0425.60020
Durrett, Richard
13
1979
Local frequency dependence and global coexistence. Zbl 0951.92032
Molofsky, Jane; Durrett, Richard; Dushoff, Jonathan; Griffeath, David; Levin, Simon
12
1999
Are there bushes in a forest? Zbl 0722.60106
Durrett, Rick; Swindle, Glen
12
1991
Splitting intervals. Zbl 0601.60028
Brennan, Michael D.; Durrett, Richard
12
1986
Some general results concerning the critical exponents of percolation processes. Zbl 0548.60099
Durrett, Richard
12
1985
Conditioned limit theorems for random walks with negative drift. Zbl 0416.60021
Durrett, Richard
12
1980
Hybrid zones and voter model interfaces. Zbl 0849.60088
Cox, J. T.; Durrett, R.
11
1995
On weighted heights of random trees. Zbl 0718.60099
Durrett, Rick; Kesten, Harry; Waymire, Ed
11
1991
An introduction to infinite particle systems. Zbl 0462.60095
Durrett, Richard
11
1981
The genealogy of critical branching processes. Zbl 0394.60082
Durrett, R.
11
1978
Branching process models of cancer. Zbl 1328.92004
Durrett, Richard
10
2015
Rigorous results for the NK model. Zbl 1049.60037
Durrett, Richard; Limic, Vlada
10
2003
Asymptotic behavior of excitable cellular automata. Zbl 0796.60100
Durrett, Richard; Griffeath, David
10
1993
The contact process, 1974-1989. Zbl 0734.60102
Durrett, Rick
10
1991
A new method for proving the existence of phase transitions. Zbl 0825.60052
Durrett, Rick
10
1991
Annihilating branching processes. Zbl 0745.60085
Bramson, Maury; Ding, Wanding; Durrett, Rick
10
1991
Critical behavior of the two-dimensional first passage time. Zbl 0629.60109
Chayes, J. T.; Chayes, L.; Durrett, R.
10
1986
Multidimensional random walks in random environments with subclassical limiting behavior. Zbl 0595.60072
Durrett, Richard
10
1986
Conditioned limit theorems for some null recurrent Markov processes. Zbl 0398.60023
Durrett, Richard
10
1978
Spatial evolutionary games with small selection coefficients. Zbl 1414.91051
Durrett, Rick
9
2014
Two phase transitions for the contact process on small worlds. Zbl 1136.60054
Durrett, Rick; Jung, Paul
9
2007
The stepping stone model. II: Genealogies and the infinite sites model. Zbl 1082.60097
Zähle, Iljana; Cox, J. Theodore; Durrett, Richard
9
2005
Mutual invadability implies coexistence in spatial models. Zbl 0992.60092
Durrett, Rick
9
2002
Intermediate phase for the contact process on a tree. Zbl 0830.60093
Durrett, Rick; Schinazi, Rinaldo
9
1995
Ergodicity of reversible reaction diffusion processes. Zbl 0669.60077
Ding, Wan-Ding; Durrett, Richard; Liggett, Thomas M.
9
1990
Crabgrass, measles, and gypsy moths: An introduction to modern probability. Zbl 0653.60095
Durrett, Richard
9
1988
Maxima of branching random walks. Zbl 0488.60090
Durrett, Richard
9
1983
A new proof of Spitzer’s result on the winding of two dimensional Brownian motion. Zbl 0479.60081
Durrett, Richard
9
1982
Essentials of stochastic processes. 2nd ed. Zbl 1244.60001
Durrett, 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 1248.82021
Durrett, Rick; Liggett, Thomas M.; Spitzer, Frank; Sznitman, Alain-Sol
8
2012
Traveling waves of selective sweeps. Zbl 1219.92037
Durrett, Rick; Mayberry, John
8
2011
Competition and species packing in patchy environments. Zbl 1038.92036
Buttel, Linda A.; Durrett, Richard; Levin, Simon A.
8
2002
Complete convergence theorem for a competition model. Zbl 0718.60026
Durrett, R.; Møller, A. M.
8
1991
Some rigorous results for the Greenberg-Hastings model. Zbl 0741.92001
Durrett, Richard; Steif, Jeffrey E.
8
1991
Estimating tumor growth rates in vivo. Zbl 1339.92035
Talkington, Anne; Durrett, Rick
7
2015
Population genetics of neutral mutations in exponentially growing cancer cell populations. Zbl 1377.92061
Durrett, Rick
7
2013
Coexistence in stochastic spatial models. Zbl 1178.60069
Durrett, Rick
7
2009
Asymptotic critical value for a competition model. Zbl 0787.60123
Durrett, Richard; Schinazi, Rinaldo
7
1993
Making money from fair games. Zbl 0746.60044
Durrett, R.; Kesten, H.; Lawler, G.
7
1991
The contact process on random graphs and Galton Watson trees. Zbl 1439.60082
Huang, Xiangying; Durrett, Rick
2
2020
Poisson percolation on the oriented square lattice. Zbl 07157643
Cristali, Irina; Junge, Matthew; Durrett, Rick
1
2020
Probability. Theory and examples. 5th edition. Zbl 1440.60001
Durrett, Rick
14
2019
Poisson percolation on the square lattice. Zbl 07037571
Cristali, Irina; Junge, Matthew; Durrett, Rick
2
2019
Ordinary differential equation models for adoptive immunotherapy. Zbl 1394.92066
Talkington, Anne; Dantoin, Claudia; Durrett, Rick
5
2018
Asymptotic behavior of the Brownian frog model. Zbl 1402.60124
Beckman, 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 1402.60130
Ma, Ruibo; Durrett, Rick
1
2018
Diffusion limit for the partner model at the critical value. Zbl 1402.60123
Basak, Anirban; Durrett, Rick; Foxall, Eric
1
2018
Block size in geometric(\(p\))-biased permutations. Zbl 1398.05004
Cristali, Irina; Ranjan, Vinit; Steinberg, Jake; Beckman, Erin; Durrett, Rick; Junge, Matthew; Nolen, James
1
2018
Latent voter model on locally tree-like random graphs. Zbl 1396.60103
Huo, Ran; Durrett, Rick
1
2018
Spatial evolutionary games with weak selection. Zbl 1404.91028
Nanda, Mridu; Durrett, Richard
2
2017
Phase transitions for a planar quadratic contact process. Zbl 1370.60187
Bessonov, Mariya; Durrett, Richard
2
2017
Spatial Moran models. II: Cancer initiation in spatially structured tissue. Zbl 1344.60093
Durrett, R.; Foo, J.; Leder, K.
6
2016
Evolutionary games on the torus with weak selection. Zbl 1348.91029
Cox, J. Theodore; Durrett, Rick
5
2016
Essentials of stochastic processes. 3rd edition. Zbl 1378.60001
Durrett, Richard
4
2016
Genealogies in expanding populations. Zbl 1358.92065
Durrett, Rick; Fan, Wai-Tong (Louis)
2
2016
Branching process models of cancer. Zbl 1328.92004
Durrett, Richard
10
2015
Estimating tumor growth rates in vivo. Zbl 1339.92035
Talkington, Anne; Durrett, Rick
7
2015
Spatial Moran models I. stochastic tunneling in the neutral case. Zbl 1344.60094
Durrett, Richard; Moseley, Stephen
5
2015
Coexistence of grass, saplings and trees in the Staver-Levin forest model. Zbl 1329.60333
Durrett, Rick; Zhang, Yuan
1
2015
Spatial evolutionary games with small selection coefficients. Zbl 1414.91051
Durrett, Rick
9
2014
Exact solution for a metapopulation version of Schelling’s model. Zbl 1355.91059
Durrett, Richard; Zhang, Yuan
2
2014
The contact process with fast voting. Zbl 1291.60203
Durrett, Rick; Liggett, Thomas; Zhang, Yuan
2
2014
Voter model perturbations and reaction diffusion equations. Zbl 1277.60004
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
19
2013
Population genetics of neutral mutations in exponentially growing cancer cell populations. Zbl 1377.92061
Durrett, Rick
7
2013
Cancer modeling: a personal perspective. Zbl 1322.92013
Durrett, 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 1261.60090
Chatterjee, Shirshendu; Durrett, Rick
3
2013
Graph fission in an evolving voter model. Zbl 1256.91042
Durrett, Richard; Gleeson, James P.; Lloyd, Alun L.; Mucha, Peter J.; Shi, Feng; Sivakoff, David; Socolar, Joshua E. S.; Varghese, Chris
17
2012
Essentials of stochastic processes. 2nd ed. Zbl 1244.60001
Durrett, 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 1248.82021
Durrett, Rick; Liggett, Thomas M.; Spitzer, Frank; Sznitman, Alain-Sol
8
2012
A branching process model of ovarian cancer. Zbl 1397.92320
Danesh, Kaveh; Durrett, Rick; Havrilesky, Laura J.; Myers, Evan
4
2012
Evolution of dispersal distance. Zbl 1311.60115
Durrett, Rick; Remenik, Daniel
2
2012
Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations. Zbl 1243.60066
Durrett, Rick; Remenik, Daniel
15
2011
Traveling waves of selective sweeps. Zbl 1219.92037
Durrett, Rick; Mayberry, John
8
2011
Asymptotic behavior of Aldous’ gossip process. Zbl 1246.60117
Chatterjee, Shirshendu; Durrett, Rick
6
2011
Persistence of activity in threshold contact processes, an ”annealed approximation” of random Boolean networks. Zbl 1230.05258
Chatterjee, Shirshendu; Durrett, Rick
2
2011
Probability. Theory and examples. 4th ed. Zbl 1202.60001
Durrett, Rick
654
2010
Random graph dynamics. Reprint of the 2007 hardback ed. Zbl 1223.05002
Durrett, Rick
26
2010
Evolution of resistance and progression to disease during clonal expansion of cancer. Zbl 1403.92171
Durrett, Richard; Moseley, Stephen
15
2010
Evolutionary dynamics of tumor progression with random fitness values. Zbl 1403.92172
Durrett, Rick; Foo, Jasmine; Leder, Kevin; Mayberry, John; Michor, Franziska
6
2010
Evolution in predator-prey systems. Zbl 1190.92038
Durrett, Rick; Mayberry, John
5
2010
Contact processes on random graphs with power law degree distributions have critical value 0. Zbl 1205.60168
Chatterjee, Shirshendu; Durrett, Rick
35
2009
A waiting time problem arising from the study of multi-stage carcinogenesis. Zbl 1219.92038
Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason
17
2009
Coexistence in stochastic spatial models. Zbl 1178.60069
Durrett, Rick
7
2009
Degenerate diffusions arising from gene duplication models. Zbl 1211.60038
Durrett, Rick; Popovic, Lea
3
2009
Coexistence for a multitype contact process with seasons. Zbl 1206.60090
Chan, B.; Durrett, R.; Lanchier, N.
1
2009
Chaos in a spatial epidemic model. Zbl 1181.92072
Durrett, Rick; Remenik, Daniel
1
2009
Probability models for DNA sequence evolution. 2nd ed. Zbl 1311.92007
Durrett, Richard
82
2008
Coexistence in host-pathogen systems. Zbl 1141.60384
Durrett, R.; Lanchier, N.
6
2008
One-dimensional stepping stone models, sardine genetics and Brownian local time. Zbl 1145.92024
Durrett, Richard; Restrepo, Mateo
6
2008
Limiting behavior for the distance of a random walk. Zbl 1187.60033
Berestycki, Nathanael; Durrett, Rick
5
2008
Random graph dynamics. Zbl 1116.05001
Durrett, Rick
142
2007
Two phase transitions for the contact process on small worlds. Zbl 1136.60054
Durrett, Rick; Jung, Paul
9
2007
On the width of hybrid zones. Zbl 1141.60061
Durrett, Rick; Zähle, Iljana
4
2007
Wagner’s canalization model. Zbl 1118.92042
Huerta-Sanchez, Emilia; Durrett, Rick
4
2007
A phase transition in the random transposition random walk. Zbl 1102.60005
Berestycki, Nathanaël; Durrett, Rick
17
2006
A new coexistence result for competing contact processes. Zbl 1110.60089
Chan, Benjamin; Durrett, Richard
3
2006
Probability. Theory and examples. 3rd ed. Zbl 1202.60002
Durrett, Rick
214
2005
Random partitions approximating the coalescence of lineages during a selective sweep. Zbl 1073.92029
Schweinsberg, Jason; Durrett, Rick
19
2005
A coalescent model for the effect of advantageous mutations on the genealogy of a population. Zbl 1082.92031
Durrett, Rick; Schweinsberg, Jason
19
2005
The stepping stone model. II: Genealogies and the infinite sites model. Zbl 1082.60097
Zähle, Iljana; Cox, J. Theodore; Durrett, Richard
9
2005
Power laws for family sizes in a duplication model. Zbl 1099.92055
Durrett, Rick; Schweinsberg, Jason
5
2005
Competing super-Brownian motions as limits of interacting particle systems. Zbl 1111.60030
Durrett, Richard; Mytnik, Leonid; Perkins, Edwin
3
2005
Random Oxford graphs. Zbl 1067.05070
Blasiak, Jonah; Durrett, Rick
1
2005
Approximating selective sweeps. Zbl 1111.92042
Durrett, Richard; Schweinsberg, Jason
28
2004
Subfunctionalization: How often does it occur? How long does it take? Zbl 1111.92044
Ward, Rachel; Durrett, Richard
2
2004
Rigorous results for the NK model. Zbl 1049.60037
Durrett, Richard; Limic, Vlada
10
2003
Shuffling chromosomes. Zbl 1047.92020
Durrett, Rick
5
2003
Rigorous result for the CHKNS random graph model. Zbl 1073.82548
Durrett, Rick
4
2003
A phase transition in the random transposition random walk. Zbl 1073.60525
Berestycki, Nathanaël; Durrett; Rick
1
2003
Probability models for DNA sequence evolution. Zbl 0991.92021
Durrett, Rick
36
2002
Once edge-reinforced random walk on a tree. Zbl 0995.60042
Durrett, Rick; Kesten, Harry; Limic, Vlada
18
2002
The stepping stone model: New formulas expose old myths. Zbl 1016.60089
Cox, J. Theodore; Durrett, Richard
16
2002
Mutual invadability implies coexistence in spatial models. Zbl 0992.60092
Durrett, Rick
9
2002
Competition and species packing in patchy environments. Zbl 1038.92036
Buttel, Linda A.; Durrett, Richard; Levin, Simon A.
8
2002
A surprising Poisson process arising from a species competition model. Zbl 1075.60582
Durrett, Richard; Limic, Vlada
3
2002
Chutes and ladders in Markov chains. Zbl 0995.60067
Diaconis, Persi; Durrett, Rick
4
2001
The equilibrium distribution for a generalized Sankoff-Ferretti model accurately predicts chromosome size distributions in a wide variety of species. Zbl 0982.92021
De, Arkendra; Ferguson, Michael; Sindi, Suzanne; Durrett, Richard
2
2001
On the quantity and quality of single nucleotide polymorphisms in the human genome. Zbl 1050.92021
Durrett, Richard; Limic, Vlada
1
2001
Rescaled voter models converge to super-Brownian motion. Zbl 1044.60092
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
24
2000
Boundary modified contact processes. Zbl 0995.60090
Durrett, Rick; Schinazi, Rinaldo B.
6
2000
Stochastic spatial models. Zbl 0940.60086
Durrett, Rick
37
1999
Essentials of stochastic processes. Zbl 0940.60004
Durrett, Rick
26
1999
The equilibrium behavior of reversible coagulation-fragmentation processes. Zbl 0930.60094
Durrett, Richard; Granovsky, Boris L.; Gueron, Shay
24
1999
Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Zbl 0953.60093
Durrett, Richard; Perkins, Edwin A.
22
1999
Local frequency dependence and global coexistence. Zbl 0951.92032
Molofsky, Jane; Durrett, Richard; Dushoff, Jonathan; Griffeath, David; Levin, Simon
12
1999
Rescaled particle systems converging to super-Brownian motion. Zbl 0941.60095
Cox, Ted; Durrett, Richard; Perkins, Edwin A.
4
1999
Stochastic spatial models. Zbl 1002.92565
Durrett, Rick
3
1999
A new stochastic model of microsatellite evolution. Zbl 0962.92028
Durrett, 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 0930.00085
Capasso, 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 0938.01030
Durrett, Rick
1
1999
Perplexing problems in probability. Festschrift in honor of Harry Kesten. Zbl 0919.00093
Bramson, Maury (ed.); Durrett, Rick (ed.)
1
1999
Spatial aspects of interspecific competition. Zbl 0908.92031
Durrett, Rick; Levin, Simon
36
1998
A spatial model for the abundance of species. Zbl 0935.60100
Bramson, Maury; Cox, J. Theodore; Durrett, Richard
4
1998
Coexistence results for some competition models. Zbl 0873.92020
Durrett, Rick; Neuhauser, Claudia
15
1997
Holomorphic diffusions and boundary behavior of harmonic functions. Zbl 0891.60072
Chen, Zhen-Qing; Durrett, Richard; Ma, Gang
3
1997
Stochastic calculus. A practical introduction. Zbl 0856.60002
Durrett, Richard
99
1996
Spatial models for species area curves. Zbl 0939.92032
Bramson, Maury; Cox, J. Theodore; Durrett, Richard
5
1996
Ten lectures on particle systems. Zbl 0840.60088
Durrett, Rick
69
1995
Hybrid zones and voter model interfaces. Zbl 0849.60088
Cox, J. T.; Durrett, R.
11
1995
...and 81 more Documents
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
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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. Probabilités et Statistiques
60 Journal of Theoretical Probability
45 Communications in Mathematical Physics
38 Mathematical Biosciences
34 Transactions of the American Mathematical Society
34 Random Structures & Algorithms
32 Bulletin of Mathematical Biology
32 Electronic Journal of Probability
31 Bernoulli
24 Journal of Mathematical Analysis and Applications
20 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
19 Journal of Economic Theory
19 Journal of Functional Analysis
18 Stochastic Models
18 Journal of Statistical Mechanics: Theory and Experiment
17 The Annals of Statistics
17 Proceedings of the American Mathematical Society
17 Combinatorics, Probability and Computing
17 ALEA. Latin American Journal of Probability and Mathematical Statistics
16 Applied Mathematics and Computation
16 Theoretical Computer Science
16 Queueing Systems
15 Israel Journal of Mathematics
15 Games and Economic Behavior
14 Automatica
14 Insurance Mathematics & Economics
14 Electronic Communications in Probability
13 Journal of Statistical Planning and Inference
13 Acta Applicandae Mathematicae
12 Journal of Mathematical Physics
12 Advances in Mathematics
12 Duke Mathematical Journal
12 Journal of Econometrics
11 Journal of Multivariate Analysis
11 Advances in Applied Mathematics
11 Electronic Journal of Statistics
10 Physica A
10 Journal of Computational and Applied Mathematics
10 Communications in Statistics. Theory and Methods
10 Methodology and Computing in Applied Probability
9 Potential Analysis
9 Chaos
8 Ergodic Theory and Dynamical Systems
8 Physica D
8 Statistics
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Applied Mathematical Modelling
8 European Journal of Operational Research
8 Bulletin of the American Mathematical Society. New Series
8 Advances in Complex Systems
8 Probability Surveys
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Nonlinearity
7 Chaos, Solitons and Fractals
7 Journal of Differential Equations
7 Mathematical and Computer Modelling
7 Annals of Operations Research
7 SIAM Journal on Optimization
7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
7 Stochastics
7 Frontiers of Mathematics in China
6 Communications on Pure and Applied Mathematics
6 Physics Letters. A
6 Inventiones Mathematicae
6 Operations Research
6 SIAM Journal on Control and Optimization
6 Journal of Economic Dynamics & Control
6 Journal of the American Mathematical Society
6 SIAM Journal on Discrete Mathematics
6 Annales Henri Poincaré
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 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
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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)

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