The presence of noise is an intrinsic problem in acquisition processes for digital images. One way to enhance images combine the forward and backward diffusion equations. However, latter well known be exponentially unstable with respect any small perturbations on final data. In this scenario, data can regarded as a blurred image obtained from process, that pixelated network. Therefore, we study...

Abstract We study the production of an electroweak boson in association with jets, processes where jet highest transverse momentum is identified as quark-initiated. The quark/gluon tagging procedure realised by a cut on angularity and it therefore theoretically well-defined exhibits infrared collinear safety. In this context, exploiting resummed perturbation theory, we are able to provide theor...

We investigate the effects of interregional labor market integration on the dynamic interaction between migration and capital formation through changes in house prices. The nature of this interaction depends on initial conditions at the time of labor market integration. In an initially capital-poor economy, there may be a reversal of migration during the transition to the steady state, like obs...

The small open economy model with incomplete asset markets features a steady-state that depends on initial conditions and equilibrium dynamics that possess a random walk component. A number of modifications to the standard model have been proposed to induce stationarity. This paper presents a quantitative comparison of these alternative approaches. Five different specifications are considered: ...

A finite memory is introduced in the score dynamics of Minority Games. As expected, this removes the dependence of the stationary state on the initial conditions. However, it also causes an unexpected increase of fluctuations in grand-canonical models for very large times. Current analytical methods are inadequate to solve this simple and natural extension.

We study k-regular sequences from a coalgebraic perspective. Building on the observation that the set of streams over a semiring S can be turned into a final coalgebra, we obtain characterizations of kregular sequences in terms of finite weighted automata, finite systems of behavioral differential equations, and recognizable power series. The latter characterization is obtained via an isomorphi...

The paper deals with a selection of the initial state for Kalman filtering. The prior knowledge about it can be highly uncertain. In practice the initial state mean and covariance are often chosen arbitrarily. The present paper considers the problem from the position of knowledge elicitation and proposes a methodology to extract the prior knowledge from available information by the respective p...

If it is assumed that the Universe did not start in a singularity and that the laws of physics apply equally to the time 13.75 billion years ago then the Universe at that time should correspond to a wavefunction or state vector. We shall find that this state vector should be very special and highly symmetrical. By making some reasonable assumptions about the initial conditions of the Universe w...

A new method to deal with reduced dynamics of open systems by means of the Schrödinger equation is presented. It allows one to consider the reduced time evolution for correlated and uncorrelated initial conditions.