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Parking in the City

100%
Šeba P.
Acta Physica Polonica A
|
2007
|
vol. 112
|
issue 4
681-690
EN
We show that the spacing distribution between parked cars can be obtained as a solution of certain linear distributional fixed point equation. The results are compared with the data measured on the streets of Hradec Králové. We also discuss a relation of these results to the random matrix theory.
2
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Parking in the City: an Example of Limited Resource Sharing

100%
Šeba P.
Acta Physica Polonica A
|
2009
|
vol. 116
|
issue 5
779-782
EN
During the attempt to park a car in the city the drivers have to share limited resources (the available roadside). We show that this fact leads to a predictable distribution of the distances between the cars that depends on the length of the street segment used for the collective parking. We demonstrate in addition that the individual parking maneuver is guided by generic psychophysical perceptual correlates. Both predictions are compared with the actual parking data collected in the city of Hradec Kralove (Czech Republic).
3
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Approximations by Graphs and Emergence of Global Structures

51%
Exner P., Hejčík P., Šeba P.
Acta Physica Polonica A
|
2006
|
vol. 109
|
issue 1
23-31
EN
We study approximations of billiard systems by lattice graphs. It is demonstrated that under natural assumptions the graph wave functions approximate solutions of the Schrödinger equation with energy rescaled by the billiard dimension. As an example, we analyze a Sinai billiard with attached leads. The results illustrate emergence of global structures in large quantum graphs and offer interesting comparisons with patterns observed in complex networks of a different nature.
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