Local existence for finitely predictive two-body interactions
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 20 (1974) no. 3, pp. 269-277.
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     author = {Droz-Vincent, Ph.},
     title = {Local existence for finitely predictive two-body interactions},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
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     year = {1974},
     mrnumber = {386575},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1974__20_3_269_0/}
}
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Droz-Vincent, Ph. Local existence for finitely predictive two-body interactions. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 20 (1974) no. 3, pp. 269-277. http://www.numdam.org/item/AIHPA_1974__20_3_269_0/

[1] D.G. Currie, J. Math. Phys., t. 4, 1963, p. 1470; Phys. Rev., t. 142, 1966, p. 817. | MR | Zbl

[2] R.N. Hill, J. Math. Phys., t. 8, 1967, p. 201.

[3] E.H. Kerner, J. Math. Phys., t. 6, 1965, p. 1218. | MR

[4] Ph. Droz-Vincent, Lett. Nuovo Cimento, t. I, vol. I, 1969, p. 839 ; Physica Scripta, Vol. 2, 1970, p. 129. | Zbl

[5] A compact sketch of this problem was outlined in Ph. Droz-Vincent, C. R. Acad. Sc. Paris, t. 275 A, 1972, p. 1263.

[6] To be sure that the « width » of the neighborhood is always > some positive ∈, one must replace Σ- (resp. Σ-*) by a compact part of it.

[7] R.D. Driver, Phys. Rev., t. 178, 1969, p. 2051. | MR

[8] A. Schild, Phys. Rev., t. 131, 1963, p. 2762. | Zbl

[9] L. Bel, A. Salas, J.M. Sánchez, Phys. Rev., D 7, 1973, p. 1099 (see also L. Bel, J. Martin, to be published).

[10] R.N. Hill, R.A. Rudd, J. Math. Phys., t. 11, n° 9, 1970, p. 2704.

[11] A. Staruszkiewicz, Ann. Inst. Henri Poincaré, Vol. XIV, n° 1, 1971, p. 69. | Numdam