9,137 research outputs found
Amalgams of inverse semigroups and reversible two-counter machines
We show that the word problem for an amalgam
of inverse semigroups may be undecidable even if we assume and (and
therefore ) to have finite -classes and to
be computable functions, interrupting a series of positive decidability results
on the subject. This is achieved by encoding into an appropriate amalgam of
inverse semigroups 2-counter machines with sufficient universality, and
relating the nature of certain \sch graphs to sequences of computations in the
machine
Minimal perturbations approaching the edge of chaos in a Couette flow
This paper provides an investigation of the structure of the stable manifold of the lower branch steady state for the plane Couette flow. Minimal energy perturbations to the laminar state are computed, which approach within a prescribed tolerance the lower branch steady state in a finite time. For small times, such minimal-energy perturbations maintain at least one of the symmetries characterizing the lower branch state. For a sufficiently large time horizon, such symmetries are broken and the minimal-energy perturbations on the stable manifold are formed by localized asymmetrical vortical structures. These minimal-energy perturbations could be employed to develop a control procedure aiming at stabilizing the low-dissipation lower branch state
Multivariate Option Pricing with Copulas.
In this paper we suggest the adoption of copula functions in order to price multivariate contingent claims. Copulas enable us to imbed the marginal distributions extracted from vertical spreads in the options markets in a multivariate pricing kernel. We prove that such kernel is a copula function, and that its super -replication strategy is represented by the Fréchet bounds. As applications, we provide prices for binary digital options, options on the minimum and options to exchange one asset for another. For each of these products, we provide no-arbitrage pricing bounds, as well as the values consistent with independence of the underlying assets. As a final reference value, we use a copula function calibrated on historical data.option pricing; basket options; copula functions; non-normal returns
- …