John at Bart's Wedding

John A. Rock

Assistant Professor and Graduate Coordinator
Department of Mathematics and Statistics
California State Polytechnic University, Pomona

Email: jarock ~at~ csupomona ~dot~ edu
(My preferred form of contact)

Office: 8-101

 mass distribution on the Cantor Set
The first few stages in the construction of a multifractal mass distribution on the Cantor set

Resources for potential graduate students:

For Fall 2012:

See Blackboard for course details and documents.

Office Hours:
  • MW 3:00-3:50pm
  • T 5:00-5:50pm

My current research interests include connections between

  • fractal geometry,
  • dynamical systems,
  • multifractal analysis, and
  • number theory.

Fun links:

Think BLUE
Lakers
Let the rabbits wear glasses
xkcd

Math Links:

Wolfram|Alpha
AMS
MAA
NSF
Pacific Coast Undergraduate Mathematics Conference
Young Mathematicians Conference

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