Budapest Institute

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20032008

most citedScaling laws in the spatial structure of urban road networks

391 citations

Showing 2005Show all

2 papers · 1 filter

physics.soc-ph2005★ 108 cited

Analytical investigation of oscillations in intersecting flows of pedestrian and vehicle traffic

Dirk Helbing, Rui Jiang, Martin Treiber

In two intersecting many-particle streams, one can often find the emergence of oscillatory patterns. Here, we investigate the interaction of pedestrians with vehicles, when they tr…

math.DS2005

Absolute continuity for random iterated function systems with overlaps

Yuval Peres, Károly Simon, Boris Solomyak

We consider linear iterated function systems with a random multiplicative error on the real line. Our system is ${x \mapsto d_{i} + λ_{i} Y x}_{i = 1}^{m}$ , where $d_{i} \in R$ and $λ_{i} > 0$ …