Math @ Duke

Publications [#244146] of Stephanos Venakides
Papers Published
 McDonald, MA; Venakides, S, Renormalization of the τfunctions for integrable systems: A model problem,
Communications on Pure and Applied Mathematics, vol. 51 no. 8
(January, 1998),
pp. 937966, WILEY [doi]
(last updated on 2019/04/20)
Abstract: We introduce a renormalization procedure for the τfunction of integrable systems. We illustrate the procedure using the supercritical Toda shock problem as a model problem. We start with a finite chain and take the limit of the solution as the number of particles N → ∞. This results in a new formula for the τfunction for the problem with an infinite chain. We apply the renormalized formula to rederive leadingorder effects of the supercritical Toda shock problem. © 1998 John Wiley & Sons, Inc.


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