Browsing by Subject "core"

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Access status: Open Access ,
Analysis of hydrogen gas saturation in sedimentary sequences of Volyn-Podillya (Ukraine)
(Wydawnictwa AGH, 2025) Hubych, Ihor; Krupskyi, Yuii; Tsikhon, Serhii
With the aim of using hydrogen energy by the Ukrainian industry, the paper considers the general patterns of hydrogen distribution in the sedimentary sequences of Volyn-Podillya. The general features of the distribution of water-dissolved and sorbed gases in rocks within productive and water-saturated complexes are analyzed. The genetic relationships between individual components of natural gases have been established, which allows us to identify depth intervals where hydrogen predominates in the well section. The latter, when used for regional forecasting, makes it possible to establish zones, and thus directions for the search for hydrogen accumulations in the sedimentary cover in Volyn-Podillya.
Access status: Restricted ,
Gry koalicyjne i ich zastosowania
(Data obrony: 2015-09-30) Piwoda, Bartosz
Wydział Matematyki Stosowanej
Access status: Open Access ,
Invariant measures whose supports possess the strong open set property
(2008) Goodman, Gerald S.
Let $X$ be a complete metric space, and $S$ the union of a finite number of strict contractions on it. If $P$ is a probability distribution on the maps, and $K$ is the fractal determined by $S$, there is a unique Borel probability measure $\mu _P$ on $X$ which is invariant under the associated Markov operator, and its support is $K$. The Open Set Condition (OSC) requires that a non-empty, subinvariant, bounded open set $V \subset X$ exists whose images under the maps are disjoint; it is strong if $K \cap V \neq \emptyset$. In that case, the core of $V$, $\check{V}=\bigcap_{n=0}^{\infty} S^n (V)$, is non-empty and dense in $K$. Moreover, when $X$ is separable, $\check{V}$ has full $\mu _P$-measure for every $P$. We show that the strong condition holds for $V$ satisfying the OSC iff $\mu_P (\partial V) =0$, and we prove a zero-one law for it. We characterize the complement of $\check{V}$ relative to $K$, and we establish that the values taken by invariant measures on cylinder sets defined by $K$, or by the closure of $V$, form multiplicative cascades.
Access status: Restricted ,
Zastosowanie gier koalicyjnych w naukach politycznych
(Data obrony: 2013-10-25) Leśniak, Dorota
Wydział Matematyki Stosowanej