TY - JOUR

T1 - Erratum to

T2 - A Finite Dimensional Integrable System Arising in the Study of Shock Clustering (Communications in Mathematical Physics, (2015), 340, 3, (1109-1142), 10.1007/s00220-015-2456-z)

AU - Li, Luen Chau

N1 - Publisher Copyright:
© 2017, Springer-Verlag Berlin Heidelberg.

PY - 2017/6/1

Y1 - 2017/6/1

N2 - It has come to the author’s attention recently that the variables φr0(L), r = 1, . . . , N−1, as defined on the second line of (4.35) in [L] simply do not work as claimed in Theorem 4.10 (b) and Proposition 4.13 (b) of that work. Regrettably, this is due to overlooking a term in the proof of Theorem 4.10 (b). The purpose of this erratum is to provide the correct definition of the φr0’s to make thingswork and what is required is a divisor Dτ (L) different from the one in [L]. Indeed, this new divisor can also be used in constructing the variables that move linearly on the Jacobi variety of the curve. Therefore, while the variables φrk(L), 1 Ȧ4 k ≤ r−1, r = 2, . . . , N in [L] are sound, we will replace them by corresponding quantities constructed by using Dτ (L) here because it gives us a uniform construction of all the angle variables.

AB - It has come to the author’s attention recently that the variables φr0(L), r = 1, . . . , N−1, as defined on the second line of (4.35) in [L] simply do not work as claimed in Theorem 4.10 (b) and Proposition 4.13 (b) of that work. Regrettably, this is due to overlooking a term in the proof of Theorem 4.10 (b). The purpose of this erratum is to provide the correct definition of the φr0’s to make thingswork and what is required is a divisor Dτ (L) different from the one in [L]. Indeed, this new divisor can also be used in constructing the variables that move linearly on the Jacobi variety of the curve. Therefore, while the variables φrk(L), 1 Ȧ4 k ≤ r−1, r = 2, . . . , N in [L] are sound, we will replace them by corresponding quantities constructed by using Dτ (L) here because it gives us a uniform construction of all the angle variables.

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U2 - 10.1007/s00220-017-2853-6

DO - 10.1007/s00220-017-2853-6

M3 - Comment/debate

AN - SCOPUS:85014741129

SN - 0010-3616

VL - 352

SP - 1265

EP - 1269

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 3

ER -