List of Publications

Peter Becker-Kern

Fachbereich Mathematik

Universität Dortmund

Mehler hemigroups and embedding of discrete skew convolution semigroups on simply connected nilpotent Lie groups. Preprint (2008), (with W. Hazod).
Parameter estimation of selfsimilarity exponents. J. Multivariate Anal., Vol. 99 (2008), pp. 117-140 (with G. Pap).
Explicit representation of roots on p-adic solenoids and non-uniqueness of embeddability into rational one-parameter subgroups. Proc. Indian Acad. Sci. (Math Sci.), Vol. 117 (2007), pp. 443-455.
A limit theorem for randomly stopped independent increment processes on separable metrizable groups. Math. Nachr., Vol. 280 (2007), pp. 1664-1680 (with G. Pap).
An almost sure limit theorem for mixtures of domains in random allocation. Studia Sci. Math. Hungar., Vol. 44 (2007), pp. 331-354.
Almost sure limit theorems of mantissa type for semistable domains of attraction. Acta Math. Hungar., Vol. 114 (2007), pp. 301-336.
How to find stability in a purely semistable context. Yokohama Math. J., Vol. 51 (2005), pp. 75-88 (with H.P. Scheffler).
Existence of multivariate max-universal laws. Extremes, Vol. 7 (2004), pp. 377-391.
Total progeny in a subcritical branching process with two types of immigration. Pliska Stud. Math. Bulgar., Vol. 16 (2004), pp. 229-243 (with M. Slavtchova-Bojkova and K. Mitov).
On multiple particle continuous time random walks. J. Appl. Math., Vol. 2004, No. 3 (2004), pp. 213-233 (with H.P. Scheffler).
Stochastic summability methods for domains of normal attraction of semistable laws. J. Math. Sci. (New York), Vol. 121 (2004), pp. 2603-2612.
Random integral representation of operator-semi-selfsimilar processes with independent increments. Stoch. Process. Appl., Vol. 109 (2004), pp. 327-344.
Limit theorem for continuous-time random walks with two time scales. J. Appl. Probab., Vol. 41 (2004), pp. 455-466 (with M.M. Meerschaert and H.P. Scheffler).
Limit theorems for coupled continuous time random walks. Ann. Probab., Vol. 32 (2004), pp. 730-756 (with M.M. Meerschaert and H.P. Scheffler).
Random sums of independent random vectors attracted by (semi-)stable hemigroups. J. Appl. Anal., Vol. 10 (2004), pp. 83-104.
Stable and semistable hemigroups: domains of attraction and selfdecomposability. J. Theoret. Probab., Vol. 16 (2003), pp. 573-598.
Hausdorff dimension of operator stable sample paths. Monatsh. Math., Vol. 140 (2003), pp. 91-101 (with M.M. Meerschaert and H.P. Scheffler).
Governing equations and solutions of anomalous random walk limits, Phys. Rev. E, Vol. 66 (2002), 060102(R) (with M.M. Meerschaert; D.A. Benson; and H.P. Scheffler).
Limit theorems with random sample size for generalized domains of semistable attraction, J. Math. Sci. (New York), Vol. 111, No. 6 (2002), pp. 3820-3829.
Max-semistable hemigroups: structure, domains of attraction and limit theorems with random sample size, Probab. Math. Statist., Vol. 21 (2001), pp. 441-465.
Stabile Randomisierte Grenzwertsätze, Dissertation, Universität Dortmund (2000).
A law of the iterated logarithm for randomly stopped sums of heavy tailed random vectors, Monatsh. Math., Vol. 130 (2000), pp. 329-347 (with H.P. Scheffler).