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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, 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
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 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
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 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

Publications by Year

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
623
2010
Probability. Theory and examples. Zbl 0709.60002
Durrett, Richard
289
1991
Probability. Theory and examples. 3rd ed. Zbl 1202.60002
Durrett, Rick
174
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
149
1988
Random graph dynamics. Zbl 1116.05001
Durrett, Rick
129
2007
Oriented percolation in two dimensions. Zbl 0567.60095
Durrett, Richard
123
1984
Brownian motion and martingales in analysis. Zbl 0554.60075
Durrett, Richard
117
1984
Fixed points of the smoothing transformation. Zbl 0506.60097
Durrett, Richard; Liggett, Thomas M.
101
1983
Stochastic calculus. A practical introduction. Zbl 0856.60002
Durrett, Richard
91
1996
Probability models for DNA sequence evolution. 2nd ed. Zbl 1311.92007
Durrett, Richard
91
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
68
1981
Weak convergence to Brownian meander and Brownian excursion. Zbl 0356.60034
Durrett, Richard T.; Iglehart, Donald L.; Miller, Douglas R.
43
1977
Functional limit theorems for dependent variables. Zbl 0398.60024
Durrett, Richard; Resnick, Sidney I.
41
1978
Connectivity properties of Mandelbrot’s percolation process. Zbl 0621.60110
Chayes, J. T.; Chayes, L.; Durrett, R.
40
1988
Contact processes on random graphs with power law degree distributions have critical value 0. Zbl 1205.60168
Chatterjee, Shirshendu; Durrett, Rick
40
2009
Particle systems and reaction-diffusion equations. Zbl 0799.60093
Durrett, Rick; Neuhauser, Claudia
39
1994
The shape of the limit set in Richardson’s growth model. Zbl 0457.60083
Durrett, Richard; Liggett, Thomas M.
36
1981
Spatial aspects of interspecific competition. Zbl 0908.92031
Durrett, Rick; Levin, Simon
36
1998
Stochastic spatial models. Zbl 0940.60086
Durrett, Rick
36
1999
On the growth of one dimensional contact processes. Zbl 0457.60082
Durrett, Richard
35
1980
Probability models for DNA sequence evolution. Zbl 0991.92021
Durrett, Rick
34
2002
Functionals of Brownian meander and Brownian excursion. Zbl 0356.60035
Durrett, Richard T.; Iglehart, Donald L.
27
1977
Approximating selective sweeps. Zbl 1111.92042
Durrett, Richard; Schweinsberg, Jason
27
2004
The contact process on a finite set. Zbl 0647.60105
Durrett, Richard; Liu, Xiu-Fang
26
1988
The contact process on a finite set. II. Zbl 0664.60106
Durrett, Richard; Schonmann, Roberto H.
26
1988
Random graph dynamics. Reprint of the 2007 hardback ed. Zbl 1223.05002
Durrett, Rick
26
2010
Rescaled voter models converge to super-Brownian motion. Zbl 1044.60092
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
26
2000
Supercritical contact processes on Z. Zbl 0508.60080
Durrett, Richard; Griffeath, David
25
1983
The equilibrium behavior of reversible coagulation-fragmentation processes. Zbl 0930.60094
Durrett, Richard; Granovsky, Boris L.; Gueron, Shay
24
1999
Essentials of stochastic processes. Zbl 0940.60004
Durrett, Rick
24
1999
Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Zbl 0953.60093
Durrett, Richard; Perkins, Edwin A.
23
1999
A simple proof of the stability criterion of Gray and Griffeath. Zbl 0639.60094
Bramson, Maury; Durrett, Rick
22
1988
Multicolor particle systems with large threshold and range. Zbl 0751.60095
Durrett, R.
22
1992
Probability. Theory and examples. 5th edition. Zbl 1440.60001
Durrett, Rick
22
2019
The contact process in a random environment. Zbl 0741.60097
Bramson, Maury; Durrett, Rick; Schonmann, Roberto H.
21
1991
Contact processes in several dimensions. Zbl 0483.60089
Durrett, Richard; Griffeath, David
20
1982
Nonlinear voter models. Zbl 0825.60053
Cox, J. T.; Durrett, R.
20
1991
Asymptotic behavior of Brownian polymers. Zbl 0767.60080
Durrett, R. T.; Rogers, L. C. G.
19
1992
Random partitions approximating the coalescence of lineages during a selective sweep. Zbl 1073.92029
Schweinsberg, Jason; Durrett, Rick
19
2005
Once edge-reinforced random walk on a tree. Zbl 0995.60042
Durrett, Rick; Kesten, Harry; Limic, Vlada
19
2002
Epidemics with recovery in \(D=2\). Zbl 0733.92022
Durrett, Rick; Neuhauser, Claudia
18
1991
A coalescent model for the effect of advantageous mutations on the genealogy of a population. Zbl 1082.92031
Durrett, Rick; Schweinsberg, Jason
18
2005
Voter model perturbations and reaction diffusion equations. Zbl 1277.60004
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
18
2013
A waiting time problem arising from the study of multi-stage carcinogenesis. Zbl 1219.92038
Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason
18
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
18
2012
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
A phase transition in the random transposition random walk. Zbl 1102.60005
Berestycki, Nathanaël; Durrett, Rick
17
2006
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
16
2011
The stepping stone model: New formulas expose old myths. Zbl 1016.60089
Cox, J. Theodore; Durrett, Richard
16
2002
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
Coexistence results for some competition models. Zbl 0873.92020
Durrett, Rick; Neuhauser, Claudia
15
1997
An infinite particle system with additive interactions. Zbl 0417.60098
Durrett, Richard
15
1979
The contact process on a finite set. III: The critical case. Zbl 0692.60085
Durrett, Richard; Schonmann, Roberto H.; Tanaka, Nelson I.
14
1989
Splitting intervals. II: Limit laws for lengths. Zbl 0607.60010
Brennan, Michael D.; Durrett, Richard
14
1987
Conditioned limit theorems for random walks with negative drift. Zbl 0416.60021
Durrett, Richard
13
1980
Large deviations for the contact process and two dimensional percolation. Zbl 0621.60108
Durrett, R.; Schonmann, R. H.
13
1988
Local frequency dependence and global coexistence. Zbl 0951.92032
Molofsky, Jane; Durrett, Richard; Dushoff, Jonathan; Griffeath, David; Levin, Simon
13
1999
Maxima of branching random walks vs. independent random walks. Zbl 0425.60020
Durrett, Richard
13
1979
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
Branching process models of cancer. Zbl 1328.92004
Durrett, Richard
11
2015
An introduction to infinite particle systems. Zbl 0462.60095
Durrett, Richard
11
1981
Hybrid zones and voter model interfaces. Zbl 0849.60088
Cox, J. T.; Durrett, R.
11
1995
The genealogy of critical branching processes. Zbl 0394.60082
Durrett, R.
11
1978
Conditioned limit theorems for some null recurrent Markov processes. Zbl 0398.60023
Durrett, Richard
11
1978
Critical behavior of the two-dimensional first passage time. Zbl 0629.60109
Chayes, J. T.; Chayes, L.; Durrett, R.
11
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
11
2012
Evolution of resistance and progression to disease during clonal expansion of cancer. Zbl 1403.92171
Durrett, Richard; Moseley, Stephen
11
2010
Crabgrass, measles, and gypsy moths: An introduction to modern probability. Zbl 0653.60095
Durrett, Richard
10
1988
On weighted heights of random trees. Zbl 0718.60099
Durrett, Rick; Kesten, Harry; Waymire, Ed
10
1991
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
Rigorous results for the NK model. Zbl 1049.60037
Durrett, Richard; Limic, Vlada
10
2003
Estimating tumor growth rates in vivo. Zbl 1339.92035
Talkington, Anne; Durrett, Rick
9
2015
Annihilating branching processes. Zbl 0745.60085
Bramson, Maury; Ding, Wanding; Durrett, Rick
9
1991
Ergodicity of reversible reaction diffusion processes. Zbl 0669.60077
Ding, Wan-Ding; Durrett, Richard; Liggett, Thomas M.
9
1990
A new proof of Spitzer’s result on the winding of two dimensional Brownian motion. Zbl 0479.60081
Durrett, Richard
9
1982
Intermediate phase for the contact process on a tree. Zbl 0830.60093
Durrett, Rick; Schinazi, Rinaldo
9
1995
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
Multidimensional random walks in random environments with subclassical limiting behavior. Zbl 0595.60072
Durrett, Richard
9
1986
Spatial evolutionary games with small selection coefficients. Zbl 1414.91051
Durrett, Rick
9
2014
Maxima of branching random walks. Zbl 0488.60090
Durrett, Richard
8
1983
Complete convergence theorem for a competition model. Zbl 0718.60026
Durrett, R.; Møller, A. M.
8
1991
A new method for proving the existence of phase transitions. Zbl 0825.60052
Durrett, Rick
8
1991
Some rigorous results for the Greenberg-Hastings model. Zbl 0741.92001
Durrett, Richard; Steif, Jeffrey E.
8
1991
Mutual invadability implies coexistence in spatial models. Zbl 0992.60092
Durrett, Rick
8
2002
Competition and species packing in patchy environments. Zbl 1038.92036
Buttel, Linda A.; Durrett, Richard; Levin, Simon A.
8
2002
Essentials of stochastic processes. 2nd ed. Zbl 1244.60001
Durrett, Richard
8
2012
Traveling waves of selective sweeps. Zbl 1219.92037
Durrett, Rick; Mayberry, John
8
2011
Coexistence in stochastic spatial models. Zbl 1178.60069
Durrett, Rick
8
2009
Making money from fair games. Zbl 0746.60044
Durrett, R.; Kesten, H.; Lawler, G.
7
1991
Asymptotic critical value for a competition model. Zbl 0787.60123
Durrett, Richard; Schinazi, Rinaldo
7
1993
Population genetics of neutral mutations in exponentially growing cancer cell populations. Zbl 1377.92061
Durrett, Rick
7
2013
The contact process on random graphs and Galton Watson trees. Zbl 1439.60082
Huang, Xiangying; Durrett, Rick
3
2020
Poisson percolation on the oriented square lattice. Zbl 07157643
Cristali, Irina; Junge, Matthew; Durrett, Rick
1
2020
The contact process on periodic trees. Zbl 1434.60295
Huang, Xiangying; Durrett, Rick
1
2020
Probability. Theory and examples. 5th edition. Zbl 1440.60001
Durrett, Rick
22
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
4
2018
Diffusion limit for the partner model at the critical value. Zbl 1402.60123
Basak, Anirban; Durrett, Rick; Foxall, Eric
2
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
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
Latent voter model on locally tree-like random graphs. Zbl 1396.60103
Huo, Ran; Durrett, Rick
1
2018
Phase transitions for a planar quadratic contact process. Zbl 1370.60187
Bessonov, Mariya; Durrett, Richard
2
2017
Spatial evolutionary games with weak selection. Zbl 1404.91028
Nanda, Mridu; 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
Genealogies in expanding populations. Zbl 1358.92065
Durrett, Rick; Fan, Wai-Tong (Louis)
5
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
5
2016
Branching process models of cancer. Zbl 1328.92004
Durrett, Richard
11
2015
Estimating tumor growth rates in vivo. Zbl 1339.92035
Talkington, Anne; Durrett, Rick
9
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
The contact process with fast voting. Zbl 1291.60203
Durrett, Rick; Liggett, Thomas; Zhang, Yuan
2
2014
Exact solution for a metapopulation version of Schelling’s model. Zbl 1355.91059
Durrett, Richard; Zhang, Yuan
2
2014
Voter model perturbations and reaction diffusion equations. Zbl 1277.60004
Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A.
18
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
18
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
11
2012
Essentials of stochastic processes. 2nd ed. Zbl 1244.60001
Durrett, Richard
8
2012
Evolution of dispersal distance. Zbl 1311.60115
Durrett, Rick; Remenik, Daniel
3
2012
A branching process model of ovarian cancer. Zbl 1397.92320
Danesh, Kaveh; Durrett, Rick; Havrilesky, Laura J.; Myers, Evan
2
2012
Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations. Zbl 1243.60066
Durrett, Rick; Remenik, Daniel
16
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
623
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
11
2010
Evolution in predator-prey systems. Zbl 1190.92038
Durrett, Rick; Mayberry, John
5
2010
Evolutionary dynamics of tumor progression with random fitness values. Zbl 1403.92172
Durrett, Rick; Foo, Jasmine; Leder, Kevin; Mayberry, John; Michor, Franziska
5
2010
Contact processes on random graphs with power law degree distributions have critical value 0. Zbl 1205.60168
Chatterjee, Shirshendu; Durrett, Rick
40
2009
A waiting time problem arising from the study of multi-stage carcinogenesis. Zbl 1219.92038
Durrett, Rick; Schmidt, Deena; Schweinsberg, Jason
18
2009
Coexistence in stochastic spatial models. Zbl 1178.60069
Durrett, Rick
8
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
91
2008
One-dimensional stepping stone models, sardine genetics and Brownian local time. Zbl 1145.92024
Durrett, Richard; Restrepo, Mateo
6
2008
Coexistence in host-pathogen systems. Zbl 1141.60384
Durrett, R.; Lanchier, N.
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
129
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
174
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
18
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
4
2005
Random Oxford graphs. Zbl 1067.05070
Blasiak, Jonah; Durrett, Rick
1
2005
Approximating selective sweeps. Zbl 1111.92042
Durrett, Richard; Schweinsberg, Jason
27
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
34
2002
Once edge-reinforced random walk on a tree. Zbl 0995.60042
Durrett, Rick; Kesten, Harry; Limic, Vlada
19
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
8
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.
26
2000
Boundary modified contact processes. Zbl 0995.60090
Durrett, Rick; Schinazi, Rinaldo B.
6
2000
Stochastic spatial models. Zbl 0940.60086
Durrett, Rick
36
1999
The equilibrium behavior of reversible coagulation-fragmentation processes. Zbl 0930.60094
Durrett, Richard; Granovsky, Boris L.; Gueron, Shay
24
1999
Essentials of stochastic processes. Zbl 0940.60004
Durrett, Rick
24
1999
Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Zbl 0953.60093
Durrett, Richard; Perkins, Edwin A.
23
1999
Local frequency dependence and global coexistence. Zbl 0951.92032
Molofsky, Jane; Durrett, Richard; Dushoff, Jonathan; Griffeath, David; Levin, Simon
13
1999
Rescaled particle systems converging to super-Brownian motion. Zbl 0941.60095
Cox, Ted; Durrett, Richard; Perkins, Edwin A.
4
1999
A new stochastic model of microsatellite evolution. Zbl 0962.92028
Durrett, Richard; Kruglyak, Semyon
2
1999
Harry Kesten’s publications. A personal perspective. Zbl 0938.01030
Durrett, Rick
1
1999
Stochastic spatial models. Zbl 1002.92565
Durrett, Rick
1
1999
Perplexing problems in probability. Festschrift in honor of Harry Kesten. Zbl 0919.00093
Bramson, Maury; Durrett, Rick
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
91
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 3,802 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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