Post-Doc years

Xerox years

Pyramid years

Consulting practice

Quantum information systems

Performance visualization

Universal Law of Computational Scalability

C(N) = \frac{N}{1 + \alpha (N-1) + \beta N (N-1)}

Theorem (Gunther 2008): The universal scalability law is equivalent to the synchronous queueing bound on throughput in a modified Machine Repairman with state-dependent service times.

Theorem (Gunther 2002): Amdahl's law for parallel speedup is equivalent to the synchronous queueing bound on throughput in a Machine Repairman model of a multiprocessor.

Computational mathematics

Theorem (Gunther 1999): The G-set (G_i) is a directed subgraph in \Gamma_T (Collatz tree) formed by acyclic predecessor sets starting at b and terminating at vertex a with exactly k = 1 edges arising from T_1(x) = (3x + 1)/2, i.e.,

P^{(\#T_1=k)}_T(a) := {b \in P_T (a)}.

Conjecture (Gunther 1999): \Gamma_T \equiv \cup_i G_i , where \forall i \in \mathbb{N}, enumerates all G-cells in \Gamma_T such that the unique G-set G_0 contains the degenerate cycle 2 \leftrightarrow 1.

• Senior Member ACM (elected April 2009).
• Senior Member IEEE (elected February 2009).
• Recipient of the A. A. Michelson Award, December 2008.
• Summer Research Institute visitor, EPFL 2006 and 2007.
• Lecturer, Western Institute of Computer Science, Stanford University, 1997-2000.
• Best paper award, CMG conference 1996.
• Visiting Scholar in Materials Science, Stanford University, 1981-1982.
• Science Research Council Studentship, U.K. 1976-1980.
• Commonwealth Postgraduate Scholarship, Australia 1975-1976.

• As a consultant, I offer more harangue for the buck.
• Lately, I've been solicited to give so many talks I feel like Mister Ed The Talking Whore.
• It's better to have wrong expectations, than no expectations.
• Best Practices are an admission of failure.
• A queue is a line of customers waiting to be severed.
• The only dumb question is the one never asked.
• A quantum leap is neither.
• Art irritates life.
• If you want to be more productive, go to sleep.
• All meaning has a pattern, but not all patterns have a meaning.

Theses

• The Feynman Path Integral in Non-Relativistic Quantum Mechanics and Quantum Electrodynamics, La Trobe University (AUS),

• Dynamical Symmetry Groups: The Study and Interpretation of Certain Invariants as Group Generators in Quantum Mechanics, La Trobe

• Broken Dynamical Symmetries in Quantum Field Theory and Phase Transition Phenomena, University of Southampton (U.K.), Ph.D.

Books

• The Practical Performance Analyst, McGraw-Hill, New York, New York 1998, ISBN 0079129463 (Out of print)
• The Practical Performance Analyst, iUniverse.com Press, Lincoln, Nebraska 2000, ISBN 059512674X (Reprint edition)
• Performance Engineering: State of the Art and Current Trends, Lecture Notes in Computer Science, Springer-Verlag

• Analyzing Computer System Performance with Perl::PDQ, Springer, Heidelberg 2005, ISBN 3540208658
• Guerrilla Capacity Planning, Springer, Heidelberg 2007, ISBN 3540261389

Invited presentations

• Goldstone Modes in First-order Phase Transitions, Sixth West Coast Conference on Statistical Mechanics, IBM Research Laboratories, San Jose, June (1980)
• Instanton Techniques for Queueing Models of Large Computer Systems: Getting a Piece of the Action, SIAM Conference on Applied Probability in Science and Engineering, New Orleans, Louisiana, March (1990)
• (Numerical) Investigations into Physical Power-law Models of Internet Traffic Using the Renormalization Group, IFORS Conference of Operations Research Societies, Honolulu, Hawaii, July 11-15 (2005)

Papers

• Goldstone Modes in Vacuum Decay and First-order Phase Transitions, Journal of Physics, A, 13, 1755-1767 (1980)
• A Benchmark for Image Retrieval using Distributed Systems over the Internet (2000 with G. Beretta)
• Performance and Scalability Models for a Hypergrowth e-Commerce Web Site (2000)
• Characterization of the Burst Stabilization Protocol for the RR/CICQ Switch (2003 with K. J. Christensen and K. Yoshigoe)
• Unification of Amdahl's Law, LogP and Other Performance Models for Message-Passing Architectures (2005)
• Towards Practical Design Rules for Quantum Communications and Quantum Imaging Devices (2005 with G. Beretta)
• The Virtualization Spectrum from Hyperthreads to GRIDs, Proc. CMG Conf., Reno, Nevada, Dec. (2006)