The Chern‐Simons Current in Systems of DNA‐RNA Transcriptions

S Capozziello, R Pincak, K Kanjamapornkul… - Annalen der …, 2018 - Wiley Online Library
A Chern‐Simons current, coming from ghost and anti‐ghost fields of supersymmetry theory,
can be used to define a spectrum of gene expression in new time series data where a spinor …

Kolmogorov space in time series data

K Kanjamapornkul, R Pinčák - Mathematical Methods in the …, 2016 - Wiley Online Library
We provide the proof that the space of time series data is a Kolmogorov space with T0‐
separation axiom using the loop space of time series data. In our approach, we define a …

Support spinor machine

K Kanjamapornkul, R Pinčák, S Chunithipaisan… - Digital Signal …, 2017 - Elsevier
We generalize a support vector machine to a support spinor machine by using the
mathematical structure of wedge product over vector machine in order to extend field from …

Anomaly on superspace of time series data

S Capozziello, R Pincak… - … fuer Naturforschung A, 2017 - degruyter.com
We apply the G-theory and anomaly of ghost and antighost fields in the theory of
supersymmetry to study a superspace over time series data for the detection of hidden …

Markov chains application to the financial-economic time series prediction

V Soloviev, V Saptsin, D Chabanenko - arXiv preprint arXiv:1111.5254, 2011 - arxiv.org
In this research the technology of complex Markov chains is applied to predict financial time
series. The main distinction of complex or high-order Markov Chains and simple first-order …

The string prediction models as invariants of time series in the forex market

R Pincak - Physica A: Statistical Mechanics and its Applications, 2013 - Elsevier
In this paper we apply a new approach of string theory to the real financial market. The
models are constructed with an idea of prediction models based on the string invariants …

Identification of market trends with string and D2-brane maps

E Bartoš, R Pinčák - Physica A: Statistical Mechanics and its Applications, 2017 - Elsevier
The multidimensional string objects are introduced as a new alternative for an application of
string models for time series forecasting in trading on financial markets. The objects are …

With string model to time series forecasting

R Pinčák, E Bartoš - Physica A: Statistical Mechanics and its Applications, 2015 - Elsevier
Overwhelming majority of econometric models applied on a long term basis in the financial
forex market do not work sufficiently well. The reason is that transaction costs and arbitrage …

Cohomology theory for financial time series

K Kanjamapornkul, R Pinčák, E Bartoš - Physica A: Statistical Mechanics …, 2020 - Elsevier
Khovanov cohomology in time series data is used to model financial time in figure-eight
hyperbolic knotted time series. We defined Chern–Simons current from the interaction of …

GARCH (1, 1) model of the financial market with the Minkowski metric

R Pincak, K Kanjamapornkul - Zeitschrift für Naturforschung A, 2018 - degruyter.com
We solve a stylised fact on a long memory process of the volatility cluster phenomena by
using the Minkowski metric for GARCH (1, 1)(generalised autoregressive conditional …