In this work, we propose a new approach to model large, irregularly distributed spatio-temporal global data via a locally diffusive stochastic partial differential equation (SPDE). The proposed model assumes a local ...

We develop a branching process with accumulating mutations to model neutral tumor evolution. Furthermore, by using this model, it will be shown in details which approximations and simplifications that are necessary in order ...

Because of ice melting in the Arctic areas, there is an increasing interest in the possibilities for transit shipping from Western Europe to Eastern Asia along the Northern Sea Route. However, there is still too much ice ...

I denne avhandlingen ble effektiviteten av Stokastiske Volatilitetsmodeller, med ARMA(p, q) log-volatilitet, undersøkt i forhold til GARCH(p, q) i å forutsi volatiliteten til finansielle tidsserier. Videre var målet å ...

The paper presents a new approach for modeling important geologicalelements, such as reservoir, trap, and source, in a unified statistical model.This joint modeling of these geological variables is useful for reliableprospect ...

We compare the homological support and tensor triangular support for ‘big’ objects in a rigidly-compactly generated tensor triangulated category. We prove that the comparison map from the homological spectrum to the tensor ...

In recent years, several methods for streamline-based history matching have been developed. These methods have proved to be efficient for three reasons: First, streamlines delineate flow patterns and can therefore be used ...

We introduce characteristics into chromatic homotopy theory. This parallels the prime characteristics in number theory as well as in our earlier work on structured ring spectra and unoriented bordism theory. Here, the ...

We present a well-posedness result for strong solutions of one-dimensional stochastic differential equations (SDEs) of the form where the drift coefficient is random and irregular, with a weak derivative satisfying for ...