A stochastic model for pure-jump diffusion (the compound renewal process) can be used as a zero-order approximation and as a phenomenological description of tick-by-tick price fluctuations. This leads to an exact and explicit general formula for the martingale price of a European call option. A complete derivation of this result is presented by means of elementary probabilistic tools. JEL G13

Using the ‘Riemann Problem with zeros’ method, Ward has constructed exact solutions to a (2 + 1)–dimensional integrable Chiral Model, which exhibit solitons with nontrivial scattering. We give a correspondence between what we conjecture to be all pure soliton solutions and certain holomorphic vector bundles on a compact surface. AMS Classification numbers Primary: 35Q51 Secondary: 58F07

An exact solution is found describing the collision of a class of axisymmetric pp-waves. They are impulsive in character and their coordinate singularities become point curvature singularities at the boundaries of the interaction region. The solution is conformally flat. Concrete examples are given, involving an ultrarelativistic black hole against a burst of pure radiation or two colliding bea...

Igor Abrikosov, A. Yu Nikonov, A. V. Ponomareva, A. I. Dmitriev and S. A. Barannikova, Theoretical Modeling of Thermodynamic and Mechanical Properties of the Pure Components of Ti and Zr Based Alloys Using the Exact Muffin-Tin Orbitals Method, 2014, Russian Physics Journal, (56), 9, 1030-1038. http://dx.doi.org/10.1007/s11182-014-0136-7 Copyright: Springer Verlag (Germany) http://www.springerli...

We propose a gauge invariant formulation of the exact renormalization group equation for nonsupersymmetric pure U(N) Yang-Mills theory, based on the construction by Tim Morris. In fact we show that our renormalization group equation amounts to a regularized version of the loop equation, thereby providing a direct relation between the exact renormalization group and the Schwinger-Dyson equations...

This paper presents a novel profiling approach, which is entirely based on program transformation techniques in order to enable exact profiling, preserving complete call stacks, method invocation counters, and bytecode instruction counters. We exploit the number of executed bytecode instructions as profiling metric, which has several advantages, such as making the instrumentation entirely porta...

We obtain exact results for the effective diffusion constant of a two dimensional Langevin tracer particle in the force field generated by charged point scatterers with quenched positions. We show that if the point scatterers have a screened Coulomb (Yukawa) potential and are uniformly and independently distributed then the effective diffusion constant obeys the Volgel-Fulcher-Tammann law where...

Pure gauge lattice QCD at arbitrary D is considered. Exact integration over link variables in an arbitrary D-volume leads naturally to an appearance of a set of surfaces filling the volume and gives an exact expression for functional of their boundaries. The interaction between each two surfaces is proportional to their common area and is realized by a non-local matrix differential operator act...

Finding common motifs from a set of strings coding biological sequences is an important problem in Molecular Biology. Several versions of the motif finding problem have been proposed in the literature and for each version, numerous algorithms have been developed. However, many of these algorithms fall under the category of heuristics. In this paper, we concentrate on the Simple Motif Problem (S...

Given a set of rectangular items of different sizes and a rectangular container, the aim of the bi-dimensional Orthogonal Packing Problem (OPP-2 for short) is to decide whether there exists a non-overlapping packing of the items in this container. The rotation of items is not allowed. In this paper we present a new exact algorithm for solving OPP-2, based upon the characterization of solutions ...