Roughly speaking, the Dalang–Morton–Willinger theorem states that for a finite sequence of price vectors (S0, S1, . . . , ST ) in R , the no-arbitrage condition implies the existence of an equivalent martingale measure. Different proofs exist [1], [3], [5], [6], [7], and even [2]. Rogers’ original proof is extremely elegant but it uses the existence of regular conditional distributions, the ori...

This workshop was sponsored by AIM and the NSF and it brought in participants from the US, Canada and the European Union to Palo Alto, CA to work to translate questions from quantum computing, complexity theory, statistical learning theory, signal processing, and data analysis to problems in geometry and representation theory. In all these areas, varieties in spaces of tensors that are invarian...