13 research outputs found
Wybrane aspekty funkcjonowania Sejmu w latach 1997–2007
Praca recenzowana / peer-reviewed paperPraca naukowa finansowana ze środków na naukę w latach 2006–2008 jako projekt
badawczy własny Nr 1 H02E 052 3
Purification of large volume of liquid argon for LEGEND-200
The design, construction and performance of the system capable of purifying 65m of liquid argon to sub-ppm level designed for LEGEND–200 experiment is presented. The quality of the purified liquid argon is monitored in real-time during the purification process, by measuring the argon triplet state lifetime and simultaneous direct measurements of the concentrations of impurities such as water, oxygen, and nitrogen with a sensitivity of 0.1 ppm. The achieved argon triplet lifetime value measured inside the LEGEND cryostat, when filled in 70% of its capacity, was at the level of = 1.3 μs. If needed, the system may also be used later to purify liquid argon already filled into the LEGEND cryostat in the loop mode
Topological structure and entropy of mixing graph maps
AbstractLet be the family of all topologically mixing, but not exact self-maps of a topological graph . It is proved that the infimum of topological entropies of maps from is bounded from below by , where is a constant depending on the combinatorial structure of . The exact value of the infimum on is calculated for some families of graphs. The main tool is a refined version of the structure theorem for mixing graph maps. It also yields new proofs of some known results, including Blokh’s theorem (topological mixing implies the specification property for maps on graphs).</jats:p
Relative and discrete utility maximising entropy
The notion of utility maximising entropy (u-entropy) of a probability
density, which was introduced and studied by Slomczynski and Zastawniak (Ann.
Prob 32 (2004) 2261-2285, arXiv:math.PR/0410115 v1), is extended in two
directions. First, the relative u-entropy of two probability measures in
arbitrary probability spaces is defined. Then, specialising to discrete
probability spaces, we also introduce the absolute u-entropy of a probability
measure. Both notions are based on the idea, borrowed from mathematical
finance, of maximising the expected utility of the terminal wealth of an
investor. Moreover, u-entropy is also relevant in thermodynamics, as it can
replace the standard Boltzmann-Shannon entropy in the Second Law. If the
utility function is logarithmic or isoelastic (a power function), then the
well-known notions of the Boltzmann-Shannon and Renyi relative entropy are
recovered. We establish the principal properties of relative and discrete
u-entropy and discuss the links with several related approaches in the
literature.Comment: 19 page