Peter J. Grabner's Homepage







Office: +43-316-873/7124
Fax: +43-316-873/7126
email:

Analysis T2



my address:


Institut für Analysis und Computational Number Theory
Technische Universität Graz
Steyrergasse 30
A-8010 Graz
Austria




Research Interests




Uniform Distribution and Discrepancy


Asymptotic Analysis


Analytic Number Theory


Fractal Structures in Number Theory


Analysis on Fractals



Selected Publications




On Digit Expansions with Respect to Linear Recurring Sequences , Springer Lecture Notes,
vol 1452, 58-64 (1990).

Erdös-Turan Type Discrepancy Bounds, Monatsh. Math. 111, 127-135 (1991)

Spherical Designs, Discrepancy and Numerical Integration, Math. Comp. 60, 327-336, (1993)
with R.F. Tichy

Mellin Transform and Asymptotics: Digital Sums, Theor. Comput. Sci. 123, 291-314 (1994)
with P. Flajolet, P. Kirschenhofer, H. Prodinger and R.F. Tichy

Block Distribution in Random Strings, Annales de l'Institut Fourier 43, 539-549, (1993)

$alpha$-Expansions, Linear Recurrences and the Sum-of-Digits Function, Manuscripta Math. 70, 311-324 (1991) with R.F. Tichy

Completely q-Multiplicative Functions: the Mellin-Transform Approach, Acta Arith. 65, 85-96 (1993)

On Ramanujan's Q-Function, J. of Comp. and Appl. Math. 58, 103-116 (1995)
with P. Flajolet, P. Kirschenhofer and H. Prodinger

Odometers and Systems of Numeration, Acta Arith. 70, 103-123 (1995)
with P. Liardet and R.F. Tichy

The Sum-of-Digits-Function for Complex Bases, J. London Math. Soc. to appear,
with P. Kirschenhofer and H. Prodinger

Distribution Properties of G-Additive Functions, J. Number Th. 60, 103-123 (1996) with G. Barat

Equidistribution and Brownian Motion on the Sierpinski Gasket, Monatsh. Math. (1997) to appear, with R.F. Tichy

Functional Iterations and Stopping Times for Brownian Motion on the Sierpinski Gasket, Mathematika, (1997) to appear

Functional Iterations and Periodic Oscillations for the Simple Random Walk on the Sierpinski Graph, Stoch. Proc. Appl. 69, 127-138 (1997), with W. Woess


Some People




Michael Drmota



Sophie Frisch



Arnold Knopfmacher



Pierre Liardet



Helmut Prodinger



Robert F. Tichy



New: see some pictures from recent hiking tours of the department
Back to the homepage of the group