| Delta coding is an iterative genetic search strategy that sustains search by periodically re-initializing the population. This helps to avoid premature convergence during genetic search. Delta coding also remaps hyper-space with each iteration in an attempt to locate \easier" search spaces with respect to genetic search. Here, the optimization ability of delta coding is compared against the C...

In this paper, An effective and simple numerical method is proposed for solving systems of integral equations using radial basis functions (RBFs). We present an algorithm based on interpolation by radial basis functions including multiquadratics (MQs), using Legendre-Gauss-Lobatto nodes and weights. Also a theorem is proved for convergence of the algorithm. Some numerical examples are presented...

Recent proofs of the convergence of the linear delta expansion in zero and in one dimensions have been limited to the analogue of the vacuum generating functional in field theory. In zero dimensions it was shown that with an appropriate, N -dependent, choice of an optimizing parameter λ, which is an important feature of the method, the sequence of approximants ZN tends to Z with an error propor...

Convergence trades exploit temporary mispricing by simultaneously buying relatively underpriced assets and selling short relatively overpriced assets. This paper studies optimal convergence trades under both recurring and non-recurring arbitrage opportunities represented by continuing and ‘stopped’ cointegrated price processes and considers both fixed and stochastic (Poisson) horizons. We demon...

This paper presents two new methods for discretizing a Dirac delta function which is concentrated on the zero level set of a smooth function u : R 7→ R. The function u is only known at the discrete set of points belonging to a regular mesh covering R . These two methods are used to approximate integrals over the manifold defined by the level set. Both methods are conceptually simple and easy to...

We analyse the convergence rate of the quadratic tracking error, when a Delta-Gamma hedging strategy is used at N discrete times. The fractional regularity of the payoff function plays a crucial role in the choice of the trading dates, in order to achieve optimal rates of convergence.

[1] Alluvial fan deltas are built by aggrading and avulsing river channels. A numerical model of flow and sediment transport in channels is combined with a condition for channel avulsion to describe evolution of the fan surface. The model combines elements of two recent approaches: (1) diffusional models of depositional basin filling, which describe the evolution of overall morphology, and (2) ...