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- Brownian motion and martingales in analysis (1984)

- Geometry of random motion: proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July 19-25, 1987 with support from the National Science Foundation and the Army Research Office (1987)

- Lecture notes on particle systems and percolation (1988)

- Random walks, Brownian motion, and interacting particle systems: a festschrift in honor of Frank Spitzer (1991)

- Probability: theory and examples (1991)

- The essentials of probability (1994)

- Stochastic calculus: a practical introduction (1996)

- Stochastic calculus: a practical introduction (1996)

- Probability: theory and examples (1996)

- Perplexing problems in probability: festschrift in honor of Harry Kesten (1999)

- Essentials of stochastic processes (1999)

- Probability models for DNA sequence evolution (2002)

- Spatial Moran models I. Stochastic tunneling in the neutral case. The Annals of Applied Probability 2015. 25:104-115 .
- One-dimensional stepping stone models, sardine genetics and Brownian local time. The Annals of Applied Probability 2008. 18:334-358 .
- Waiting for regulatory sequences to appear. The Annals of Applied Probability 2007. 17:1-32 .
- A new coexistence result for competing contact processes. The Annals of Applied Probability 2006. 16:1155-1165 .
- Competing super-Brownian motions as limits of interacting particle systems. Electronic Journal of Probability 2005. 10:1147-1220 .
- The stepping stone model. II: Genealogies and the infinite sites model. The Annals of Applied Probability 2005. 15:671-699 .
- Rigorous results for the $NK$ model. The Annals of Probability 2003. 31:1713-1753 .
- Rigorous results for the n K model. The Annals of Probability 2003. 31:1713-1753 .
- Correction to ``The stepping stone model: New formulas expose old myths'' (2002V12 p1348-1377). The Annals of Applied Probability 2003. 13:800-815 .
- The stepping stone model: New formulas expose old myths. The Annals of Applied Probability 2002. 12:1348-1377 .
- A surprising Poisson process arising from a species competition model. Stochastic Processes and their Applications 2002. 102:301-309 .
- The equilibrium distribution for a generalized Sankoff-ferretti model accurately predicts chromosome size distributions in a wide variety of species. Journal of Applied Probability 2001. 38:324-334 .
- On the quantity and quality of single nucleotide polymorphisms in the human genome. Stochastic Processes and their Applications 2001. 93:1-24 .
- Rescaled voter models converge to super-Brownian motion. The Annals of Probability 2000. 28:185-234 .
- Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Probability Theory and Related Fields 1999. 114:309-399 .
- A new stochastic model of microsatellite evolution. Journal of Applied Probability 1999. 36:621-631 .
- A new stochastic model of microsatellite evolution. Journal of Applied Probability 1999. 36:621-631 .
- A spatial model for the abundance of species. The Annals of Probability 1998. 26:658-709 .
- Holomorphic diffusions and boundary behavior of harmonic functions. The Annals of Probability 1997. 25:1103-1134 .
- Holomorphic diffusions and boundary behavior of harmonic functions. The Annals of Probability 1997. 25:1103-1134 .
- Spatial models for species area curves. The Annals of Probability 1996. 24:1727-1751 .
- The importance of being discrete (and spatial). Theoretical Population Biology 1994. 46:363-394 .
- Asymptotic behavior of excitable cellular automata. Experimental Mathematics 1993. 1993:- .
- Fixation results for threshold voter systems. The Annals of Probability 1993. 21:232-247 .
- Asymptotic critical value for a competition model. The Annals of Applied Probability 1993. 3:1047-1066 .
- Some rigorous results for the Greenberg-Hastings Model. Journal of Theoretical Probability 1991. 4:669-690 .
- Ergodicity of reversible reaction diffusion processes. Probability Theory and Related Fields 1990. 85:13-26 .
- Large deviations for independent random walks. Probability Theory and Related Fields 1990. 84:67-82 .
- The contact process on a finite set. III: The critical case. The Annals of Probability 1989. 17:1303-1321 .
- Crabgrass, measles and gypsy moths: An introduction to modern probability. Bulletin of the American Mathematical Society 1988. 18:117-143 .
- The contact process on a finite set. The Annals of Probability 1988. 16:1158-1173 .
- Limit theorems for the spread of epidemics and forest fires. Stochastic Processes and their Applications 1988. 30:171-191 .
- Crabgrass, measles, and gypsy moths: An introduction to interaction particle systems. The Mathematical Intelligencer 1988. 10:37-47 .
- Random walk in random environment: a counterexample?. Communications in Mathematical Physics (1965-1997) 1988. 119:199-211 .
- The contact process on a finite set. II. The Annals of Probability 1988. 16:1570-1583 .
- Splitting intervals II: Limit laws for lengths. Probability Theory and Related Fields 1987. 75:109-127 .
- Splitting intervals. The Annals of Probability 1986. 14:1024-1036 .
- Multidimensional random walks in random environments with subclassical limiting behavior. Communications in Mathematical Physics (1965-1997) 1986. 104:87-102 .
- Some general results concerning the critical exponents of percolation processes. Probability Theory and Related Fields 1985. 69:421-437 .
- Oriented percolation in two dimensions. The Annals of Probability 1984. 12:999-1040 .
- Fixed points of the smoothing transformation. Probability Theory and Related Fields 1983. 64:275-301 .
- Maxima of branching random walks. Probability Theory and Related Fields 1983. 62:165-170 .
- Oriented percolation in dimensions $d\ge4$: Bounds and asymptotic formulas. Mathematical Proceedings of the Cambridge Philosophical Society 1983. 93:151-162 .
- Supercritical contact processes on $Z$. The Annals of Probability 1983. 11:1-15 .
- A new proof of Spitzer's result on the winding of two dimensional Brownian motion. The Annals of Probability 1982. 10:244-246 .
- An introduction to infinite particle systems. Stochastic Processes and their Applications 1981. 11:109-150 .
- Some limit theorems for percolation processes with necessary and sufficient conditions. The Annals of Probability 1981. 9:583-603 .
- The shape of the limit set in Richardson's growth model. The Annals of Probability 1981. 9:186-193 .
- On the growth of one dimensional contact processes. The Annals of Probability 1980. 8:890-907 .
- On the shape of a random string. The Annals of Probability 1979. 7:1014-1027 .
- Maxima of branching random walks vs. independent random walks. Stochastic Processes and their Applications 1979. 9:117-136 .
- An infinite particle system with additive interactions. Advances in Applied Probability 1979. 11:355-383 .
- Conditioned limit theorems for some null recurrent Markov processes. The Annals of Probability 1978. 6:798-828 .
- Functional limit theorems for dependent variables. The Annals of Probability 1978. 6:829-846 .
- Downcrossings and local time. Probability Theory and Related Fields 1976. 35:147-149 .