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National Repository of Grey Literature 4 records found  Search took 0.00 seconds. 
Urban Structure Analysis
 Vašata, D. ; Exner, Pavel ; Šeba, Petr
The built-up land represents an important type of overall landscape. We analyse the structure of built-up land in largest cities in the Czech Republic and selected cities in the USA using the framework of statistical physics. To do this, both the variance of the built-up area and the number variance of built-up landed plots in circles are calculated. In both cases the variance as a function of a circle radius follows a power law. The obtained value of the exponents are comparable to exponents typical for critical systems. The study is based on cadastral data in the Czech Republic and building footprints GIS data in the USA.
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Vertex Couplings in quantum Graphs: Approximations by Scaled Schrödinger Operators
 Exner, Pavel
We review recent progress in understanding the physical meaning of quantum graph models through analysis of their vertex coupling approximations.
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Integrály pohybu pro kvantové spinové řetězy s interakcí danou Weierstrassovou eliptickou funkcí
 Dittrich, Jaroslav ; Inozemtsev, V. I.
Two non-trivial integrals of motion are constructed for the spin chains with exchange interaction the coupling strengh being given by the Weierstrass elliptic function of the spins distance.
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Asymptotika spektra pravoúhlé periodické sítě
 Turek, Ondřej
Spectral properties of an infinite rectangular quantum graph with singular interaction at the vertices.
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