This paper proposes and studies an optimal placement problem in a limit order book. To gain some analytical insights, a simple correlated random walk model with mean-reversion is proposed for the best ask price. Optimal placement strategies for both single-period and multi-period cases are...

Order positions are key variables in algorithmic trading. This paper studies the limiting behavior of order positions and related queues in a limit order book. In addition to the fluid and diffusion limits for the processes, fluctuations of order positions and related queues around their fluid...

Operable knowledge features are discovered which present a structure of knowledge which is independent of the specific meaning or use of knowledge. This discovery presents a completely new mathematically based concept of knowledge for different disciplines like economy, sociology, communication...

This study aims to determine whether the application of brain-friendly learning through whole brain teaching gives a positive effect on the creative character of students, to know the response of the students against the application of brain-friendly learning through whole brain teaching, and to...

Many observers argue that the world has changed after the latest financial crisis. If that is the case, monetary policy and the process informing it will have to be reconsidered and 'learned' anew by all stakeholders. Perhaps, a new Taylor rule will emerge. A 'Taylor rule' is predicated upon two...

We construct the Black-Scholes pricing framework using a non unitary central extension of the Galilei group that implements the numeraire invariance of the financial theory.Formally, Black-Scholes can be mapped to the case in which a free quantum particle acquires an imaginary mass inversely...

The paper aims to evaluate the presence and condition of vegetation by SAGA GIS. The study area covers northern coasts of Iceland including two fjords, the Eyjafjörður and the Skagafjörður, prosperous agricultural regions. The vegetation coverage in Iceland experience the impact of harsh...

This manuscript summarizes the results of the geospatial analysis undertaken by means of Generic Mapping Tools (GMT). The comparative assessment of the bathymetry of the Kuril-Kamchatka hadal trench was performed for southern and northern segments separated by the Bussol Strait. The formation of...

We introduce a new approach to model the market smile for inflation-linked derivatives by defining the Quadratic Gaussian Year-on-Year inflation model -- the QGY model. We directly define the model in terms of a year-on-year ratio of the inflation index on a discrete tenor structure, which,...