Riverside AMS 2013

John A. Rock
Assistant Professor
Graduate Coordinator
Mathematics and Statistics
Cal Poly Pomona

Summer 2014: PUMP Summer Program
mass distribution on the Cantor Set
The first few stages in the construction of a multifractal distribution on the Cantor set.

CPP Resources:

Email: jarock ~at~ csupomona ~dot~ edu
Courses: Blackboard
Office Hours:
  • By appointment (over the summer)
My research interests include:
  • fractal geometry
  • dynamical systems
  • multifractal analysis
  • number theory
Other links:
Math Links:

Selected publications (on arXiv):

  • Partition zeta functions, multifractal spectra, and tapestries of complex dimensions (preprint), K. E. Ellis, M. L. Lapidus, M. C. Mackenzie, and J. A. Rock.
  • Multifractal analysis via scaling zeta functions and recursive structure of lattice strings (preprint), R. de Santiago, M. L. Lapidus, S. A. Roby, and J. A. Rock.
  • Box-counting fractal strings, zeta functions, and equivalent forms of Minkowski dimension (preprint), M. L. Lapidus, J. A. Rock, and D. Žubrinić.

Series 7
 Courtesy of Sundberg Studio

What is required of us now is a new era of responsibility--are cognition, on the part of every American, that we have duties to ourselves, our nation and the world, duties that we do not grudgingly accept but rather seize gladly, firm in the knowledge that there is nothing so satisfying to the spirit, so defining of our character than giving our all to a difficult task.

                                 President Barack Obama
2008 inaugural address