Parking in the city

TL;DR

This paper models the spacing between parked cars using a fixed point equation, compares the model with real street data, and explores connections to random matrix theory.

Contribution

It introduces a novel fixed point equation approach to describe parking spacing distributions and links it to random matrix theory.

Findings

Model accurately fits street parking data

Establishes a connection with random matrix theory

Provides a new mathematical framework for parking distribution analysis

Abstract

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 Kralove. We also discuss a relation of this results to the random matrix theory.