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Igor Markov

Associate Professor of Electrical Engr. and Computer Science (CSE Division)

Material for prospective graduate students (view with PowerPoint)

See our projects in Hardware security (1, 2), Post-silicon validation (1, 2), Probabilistic Test of Nanocircuits,
VLSI Routing, Placement and Physical Synthesis (1, 2), Quantum circuit synthesis (PDF, IEEE Trans. on CAD),
simulation and quantum software (PDF, IEEE Computer), High-performance Algorithms for the Graph Automorphism problem (1, 2, 3)

Address: The University of Michigan     Phones: o (734) 936-7829
Dept of EECS, ACAL Lab Fax: dept (734) 763-4617, web (435) 417-5485
2260 Hayward Ave -- CSE Email:
Ann Arbor, MI 48109-2121 Office: CSE 4769
                                IC Stamp

    Research Overview     Publications and presentations     My Erdös Number is 3 (through John Hayes & Frank Harary or Mike Hutton & Ron Graham)

Some of my projects and organizational activities
      The Quantum Circuits Group at the Univ. of Michigan (also see QuIDD Pro)
      UMich Physical Design Tools (including Capo),   Parquet,   FLOORIST,   BloBB,   CompaSS
      FGR,   SAUCY,   Partitioning and Wirelength-driven Placement,   MARCO/GSRC Bookshelf
      Wikipedia,   SIGDA,   DUDE,   Mega-converter,   SLIP,   IWLS,   DATE  

A quote from Chris Fuchs's paper "Quantum Mechanics as Quantum Information, Mostly"

          cat wanted

One could say that most of the empirical predictions of special relativity were in place well before Einstein came onto the scene. What was being begged for in the years between 1895 and 1905 was an understanding of the origin of that abstract, mathematical structure --- some simple, crisp physical statements with respect to which the necessity of the mathematics would be indisputable. Einstein supplied that and became one of the greatest physicists of all time. He reduced the mysterious structure of the Lorentz transformations to two simple statements expressible in common language:
  1. The speed of light in empty space is independent of the speed of its source.
  2. Physics should appear the same in all inertial reference frames.
The deep significance of this should stand up and speak overpoweringly to anyone who admires these principles.

Karl Pearson, "Historical note on the origin of the normal curve of errors", Biometrika 16: 402-404 [p. 403]:

The fact that Stirling showed that De Moivre's arithmetical constant was root-2pi does not entitle him to claim the theorem.

From the Wikipedia entry for Thales

In addition to two theorems known as Thales' theorems, Eudemus attributed to Thales the discovery that a circle is bisected by its diameter, that the base angles of an isosceles triangle are equal and that vertical angles are equal. It would be hard to imagine civilization without these theorems.

It is possible, of course, to question whether Thales really did discover these principles. On the other hand, it is not possible to answer such doubts definitively. The sources are all that we have, even though they sometimes contradict each other. (The most we can say is that Thales knew these principles.)