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In a series of published papers we reanalyzed treatments of the Venezianoamplitudes and the models associated with them. In this work we demonstratethat the already obtained partition function for these amplitudes can beexactly mapped into that for the Polychronakos-Frahm spin chain which, in turn,is obtainable from the Richardson-Gaudin XXX model. Reshetikhin and Varchenkodemonstrated that such a model is recoverable from their WKB-type analysis ofsolutions of the Knizhnik-Zamolodchikov (K-Z) equations. The linearindependence of solutions of these equations is controlled by determinantswhose form (up to a constant) coincides with the Veneziano (or Veneziano-like)amplitudes.In the simplest case, when the K-Z equations are reducible to theGauss hypergeometric equation, the determinantal conditions coincide with thosewhich were discovered by Kummer in 19th century. Kummer's results admitphysical interpretation crucial for providing needed justification associatingdeterminanatal formula(s) with Veneziano-like amplitudes. General results areillustrated by many examples. These include but are not limited to only highenergy physics since all high energy physics scattering processes can be lookedupon from much broader sctochastic theory of random fragmentation andcoagulation processes recently undergoing active development in view of itsapplications in disciplines ranging from ordering in spin glasses andpopulation genetics to computer science, linguistics and economics,etc. In thistheory Veneziano amplitudes play the universal role since they are thePoisson-Dirichlet-type distributions for these processes (analogous to the morefamiliar Maxwell distribution for gases)

New strings for old Veneziano amplitudes IV.Connections with spin chains and other stochastic systems