**Publications of K. B.
Erickson **

Strong renewal theorems with infinite mean.

*Trans. Amer. Math. Soc.***151**(1970). 263-291.A renewal theorem for distribution on R^1 without expectation.

*Bull. Amer. Math. Soc.***77**(1971). 406-410.The strong law of large numbers when the mean is undefined

*Trans. Amer. Math. Soc.***54**(1973). 371--381. Or click here.Self-annihilating branching process

*Annals of Probab.***1**(1973). 926-946.A characterization of the exponential law. (With H. Guess)

*Annals of Probab.***1**(1973). 183-185.The strong and weak limit points of a normalized random walk. (With H. Kesten)

*Annals of Probab.***2**(1974). 553-579.Recurrence sets of normed random walks in R^d.

*Annals of Probab.***4**(1976). 802-828.Slowing down d-dimensional random walk.

*Annals of Probab.***5**(1977). 645-657.

See also: by Harry Kesten, 1978.

Simple stochastic models for sources and sinks of two aerosol types. (With M. B. Baker, H. Harrison, J. Vinelli)

*Tellus***31**(1979). 39 - 51.Rates of escape of infinite dimensional Brownian motion.

*Annals of Probab.***8**(1980). 325-338.

See also the important: by Dennis D. Cox, 1982

A limit theorem for renewal sequences with an application to local time.

*Z. Wahrs. v. Gebiete***57**(1981). 535-558.Gaps in the range of nearly increasing processes with stationary independent increments.

*Z. Wahrs. v. Gebiete***62**(1983). 449-463.Hitting time of a moving boundary for a diffusion. (With R. Bass).

*Stoch. Processes. Appl.***14**(1983). 325-325.Rate of expansion of an inhomogeneous branching process of Brownian particles.

*Z. Wahrs. v. Gebiete***66**(1984). 129-140.Local laws of the iterated logarithm for diffusions. (With R. Bass).

*Annals of Probab.***13**(1985). 616-624.A ratio ergodic theorem for increasing additive functionals.

*Probab. Rel. Fields.***72**(1986). 493-504.

See also: by Jean Bertoin

Continuous extensions of skew product diffusions.

*Probab. Th. Rel Fields***85**(1990). 73--89. Or go here.The strong Liouville property for a class of random walks.

*Mh. Math.***109**(1990). 237-246.Divergent sums over excursions. Or this.

*Stochastic Processes and their Applications***54**(1994). 175-182.Calendar queue expectations.

*Commun.Statist.--Stochastic Models***15**(1999). 617-638. Or go here.Optimizing Static Calendar Queues. (With A. Lamarca and R. Ladner).

*ACM Transactions on Modeling and Computer Simulation***10**(2000). 179-214. Or here. (Portions of the full article are omitted.)The limit points in compactified Euclidean space of averages of i.i.d. random variables.

*Annals of Probab.***28**(2000), 498-510.Generalized Ornstein-Uhlenbeck processes and the convegence of Levy integrals. (With Ross Maller).

*Seminaire de Prob., XXXVIII.*Lecture notes in Mathematics,**1857**(2004). 70-94. hereDrift to infinity and the strong law for subordinated random walks and Levy Processes. (With Ross Maller).

*J. Theo. Probability***18**(2005). 359-375. Or see this.Finiteness of integrals of Levy processes. (With Ross Maller).

*Proc. London Math. Soc.,***94(2)**(2007). 385-420.

First published online Juanuary 1, 2006.Deterministic time intervals on which a class of persistent processes are away from their origins.

*Electronic Communications in Probability***21**(2016), paper no. 62.Uniqueness of the null solution to a non-linear PDE satisfied by the explosion probability of a branching diffusion.

*J. Appl. Prob.***53,**938 - 945 (2016)

**Miscellaneous Notes**

The
non-random nature of random limit points. (2/1997)

Irrationality of ratios of solutions to tan(x)=x and related matter (12/2014 & 3/2020)

Prime numbers and Gaussian random walks (10/2005)

Asymptotics of logarithms of distributions and means of integrals of powers
of Brownian motion.
(2012)

A variational problem.
(2012) This is closely related to the preceding note.

Notes on branching diffusions.
A work in slow progress.

(1998 and beyond; Updated: 3/9/2020. More to come, very soon.)