2011, Studia Mathematica 10
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On Minkowski decomposition of Okounkov bodies on a Del Pezzo surface
(2011)We show that on a blow up of $ℙ^2$ in 3 general points there exists a finite set of nef divisors $P_1 ,..., P_s$ such that the Okounkov body $∆(D)$ of an arbitrary effective $ℝ–divisor$ $D$ on $X$ is the Minkowski ... -
Über Extrema mit Nebenbedingungen
(2011)Zweck der vorliegenden Arbeit is es, eine gut handhabbare Methode zu zeigen, womit man die hinreichende Bedingung für die Existenz eines Extremums unter Nebenbedingungen behandeln kann. Das Resultat ist eigentlich nicht ... -
The regular density on the plane
(2011)In the note [1] the notion of the regular density point of the measu- rable subset of the real line was introduced. Then it was shown that the new definition is equivalent to the definition of O’Malley points, which has ... -
A more colorful hat problem
(2011)The topic is the hat problem in which each of n players is randomly fitted with a blue or red hat. Then everybody can try to guess simultaneously his own hat color by looking at the hat colors of the other players. The ... -
The research on the strong Markov property
(2011)Let $X(t, ω) ≜ {x_t(ω); t ≥ 0}$ be a Markov process defined on a probability space $(Ω, F, P)$ and valued in a measurable space $(E, ε)$. In this paper, we give the definitions of $σ-algebras$ prior to $α$ and $post-α$ ... -
Nonlocal Robin problem in a plane domain with a boundary corner point
(2011)We investigate the behavior of weak solutions to the nonlocal Robin problem for linear elliptic divergence second order equations in a neighborhood of the boundary corner point. We find an exponent of the solution decreasing ... -
Annales Universitatis Paedagogicae Cracoviensis. 102. Studia Mathematica 10
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2011)