| [19], [24], [28], [30], [31], [32],
[34], [36], [37], [51], [69]; [86], [129], [139], [145]. Some crucial papers: |
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| [19] | 1968, - the concept of spectrum is formally introduced (there are two forms; finite dimensional and infinite dimensional); | |
| [24] | 1969, - the conjecture of Spectrum/Distortion is formally introduced and the idea of "stabilization" of functions on the sphere is discussed. | |
| [31] | 1971, - Geometry of Infinite dimensional sphere and different asymptotic modulii are studied with a chapter on Spectrum.. | |
| [32] | 1971, - the start of the method of Concentration; but the the leading point is the search of spectrum of a good (say, Lipschitz) function.. | |
| [34] | 1971, - the concept of Spectrum extended to different manifolds and the connection with the Ramsey type facts in Combinatorics became transparent (however, only after the paper by Graham,R.L.; Leeb,K.; Rothschild, B. L., Ramsey's theorem for a class of categories. Advances in Math. 8, 417--433,1972, appeared). | |
| [51] | 1983, joint with Gromov; in addition to remarks written in A, more examples of "spectrum type" are presented here. The connection with fixed point property is mentioned in the first time. | |
| [69] | 1987, - connection between Concentration, Spectrum and Fixed point theorems is explicitely exibit. | |
| [86] | 1988, - a survey on old and new connections and results on Concentration and Spectrum. | |
| Some related papers and Books: M.Gromov, Filling Riemannian manifolds. J. Differential Geom. 18 (1983), no. 1, 1--147. V.Pestov, Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups. Israel J. Math. 127 (2002), 317--357. M.Gonz?lez, A.Martin?n, Note on operational quantities and Milman isometry spectrum. Extracta Math. 6 (1991), no.2-3, 129--131. and, by the same authors: "Note on operational quantities and Milman isometry spectrum", Rev. Acad. Canaria Cienc, 3 (1991),no.1, 103--111. |
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