Robotic Exploration, Brownian Motion and Electrical Resistance

  • Israel A. Wagner
  • Michael Lindenbaum
  • Alfred M. Bruckstein
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1518)


A random method for exploring a continuous unknown planar domain with almost no sensors is described. The expected cover time is shown to be proportional to the electrical resistance of the domain, thus extending an existing result for graphs [11]. An upper bound on the variance is also shown, and some open questions are suggested for further research.


robotic exploration cover time Brownian motion sheet resistance 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Israel A. Wagner
    • 1
    • 2
  • Michael Lindenbaum
    • 2
  • Alfred M. Bruckstein
    • 2
  1. 1.IBM Haifa Research LabMatamIsrael
  2. 2.Department of Computer ScienceTechnion CityIsrael

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