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1

Random walk analysis of cave maps for exemplary gypsum caves-mazes of Western Ukraine

Błachowicz T., Andreychouk V., Domino K.

Landform Analysis

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2018

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Vol. 36

3--8

EN

The paper presents a new method of quantitative parameterization of net geomorphological structures with the use of random walk formalism and an analysis of Hurst exponent distribution derived from random walk experiments. As examples, horizontally developed gypsum caves were elaborated. The provided methodology is able to uniquely characterize cave systems.

2

Classification of LPG clients using the Hurst exponent and the correlation coeficient

Domino K., Głomb P., Łaskarzewski Z.

Theoretical and Applied Informatics

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2015

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Vol. 27, No. 1

13--24

EN

In this paper we present the analysis of the gas usage for different types of buildings. First, we introduce the classical theory of building heating. This allows the establishment of theoretical relations between gas consumption time series and the outside air temperature for different types of buildings, residential and industrial. These relations imply dierent auto-correlations of gas usage time series as well as different cross-correlations between gas consumption and temperature time series for different types of buildings. Therefore, the autocorrelation and the cross-correlation were used to classify the buildings into three classes: housing, housing with high thermal capacity, and industry. The Hurst exponent was calculated using the global DFA to investigate auto-correlation, while the Kendall's τ rank coeficient was calculated to investigate cross-correlation.

3

Fractal dimensions of cave for exemplary gypsum cave-mazes of Western Ukraine

Andreychouk V., Błachowicz T., Domino K.

Landform Analysis

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2013

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Vol. 22

3--8

EN

Gypsum labyrinthine caves are characterized by a complex spatial structure, which can be treated as fractals and can be studied using appropriate mathematical tools. Capacitance and correlation fractal dimensions of largest gypsum caves of the Western Ukraine (as well as the World’s largest ones) were calculated. The results were used to predict findings of new, undiscovered cave mazes parts.