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Web page: Alexandru I. Suciu | Created: Februaru 15, 2002 |
| Maintained by: Misha Kogan | URL: http://www.math.neu.edu/~GASC/gas/malkin.html |
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| The Laurent phenomenon |
| Abstract: A composition of birational maps given
by Laurent polynomials need not be given by Laurent polynomials; however,
sometimes, quite unexpectedly, it does. In a joint work with A.Zelevinsky,
motivated by the theory of cluster algebras, we suggest a unified treatment
of this phenomenon.
Applications include the proof of the Gale-Robinson conjecture on integrality of generalized Somos sequences; the Markov equation; the cube recurrence of J.Propp; and many others. |
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Web page: Alexandru I. Suciu | Created: Februaru 15, 2002 |
| Maintained by: Misha Kogan | URL: http://www.math.neu.edu/~GASC/gas/malkin.html |