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E-mail:
jrock (at) csustan (dot) edu
***Note: this email address will become
invalid starting September 2011***
Publications, slides, and student
researchers:
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The
first few stages in the construction of a multifractal mass
distribution on the Cantor set.
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Publications: Available
on arXiv
- K. E. Ellis, M. L. Lapidus, Michael C. Mackenzie, and
J. A. Rock, Partition zeta functions, multifractal
spectra, and tapestries of complex dimensions, preprint 2010.
- M. L. Lapidus, and J. A. Rock, Toward zeta functions and complex dimensions of
multifractals, Complex Variables and Elliptic
Equations (special issue dedicated to fractals) N.6,
vol. 54 (2009), 545-549.
- M. L. Lapidus, J. L´evy V´ehel and J. A.
Rock, Fractal
strings and multifractal zeta functions, Lett. Math. Phys.,
No.1, 88 (2009), 101–129 (special issue dedicated to the memory
of Moshe Flato).
- J. A. Rock, (thesis preprint), Zeta Functions, Complex Dimensions of
Fractal Strings and Multifractal Analysis of Mass Distributions, UC
Riverside, June 2007.
What is required of us now is a
new era of responsibility -- a
recognition, 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,
from his inaugural address
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- Selected
talk slides:
- "Partition zeta functions,
multifractal spectra, and tapestries of complex dimensions,"
Eastern Section Meeting of the AMS, Syracuse University, October 2010
- "Multifractals, Zeta
Functions, and Spectra of Complex Dimensions," Western
Section Meeting of the AMS, UC Riverside, November 2009
- "Dimensions of Fractal
Strings and Multifractal Measures," Mathematics and Computer
Science Speaker Series (MCS^3), CSUS, October 2009
- "A Fractal Approach
to the Riemann Hypothesis," MCS^3, CSUS, October 2008
- "Mathematics
Behind Game Shows: The Best Way to Play," CCMP Professional
Development Workshops for Teachers, CSUS, May 2008
- "Real and Complex Dimensions of Fractal
Strings," MCS^3, CSUS, December 2007
- "Fractal
Strings and Multifractal Zeta Functions," International Conference
on Stochastic Analysis, University of Washington, August 2006
- "Multifractal Strings and Zeta Functions," AMS Western Section
Meeting, Fractal Geometry Special Session, San Francisco State
University, April 2006
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Links to important stuff
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