Limited feedback systems send quantized channel state information (CSI) from the receiver to the transmitter for improving either the throughput or the link reliability. This paper proposes a framework for analyzing multiantenna limited feedback systems with temporally-correlated flat-fading channels. Developed on a Markov chain modeling quantized CSI, the proposed framework consists of analyti...

The field of emergent communication aims to understand the characteristics as it emerges from artificial agents solving tasks that require information exchange. Communication with discrete messages is considered a desired characteristic, for scientific and applied reasons. However, training multi-agent system not straightforward, requiring either reinforcement learning algorithms or relaxing di...

The roundoff errors in computer simulations of continuous dynamical systems, which are caused by finiteness of machine arithmetic, can lead to qualitative discrepancies between phase portraits of the resulting spatially discretized systems and the original systems. These effects can be modelled on a multidimensional integer lattice by using a dynamical system obtained by composing the transitio...

Closing a gap in the literature on the subject, the local solutions of 2D-gravity with torsion are given for Euclidean signature. For the topology of a cylinder the system is quantized in a Dirac approach.

The quantized version of a discrete Knizhnik-Zamolodchikov system is solved by an extension of the generalized Bethe Ansatz. The solutions are constructed to be of highest weight which means they fully reflect the internal quantum group symmetry.

Starting from bosonization, we study the operator that commute or commute up-to a total difference with of any quantized screen operator of a free field. We show that if there exists a operator in the form of a sum of two vertex operators which has the simplest correlation functions with the quantized screen operator, namely a function with one pole and one zero, then, the screen operator and t...

Theoretically, in order to describe the behavior of a spectrum, a mathematical model whichcould predict the spectrum characteristics is needed. Since in this study a Two-state system has beenused like models which was introduced previously past and could couple with the environment, theformer ideas have been extended in this study. we use the second quantized version for writing thisHamiltonian...