The "Brownian movement" was first described in 1828 by the botanist Robert Brown. While investigating the pollen of several different plants, he observed that pollen dispersed in water in a great number of small particles which he perceived to be in uninterrupted and irregular "swarming" motion. For more than half a century following, a score of scientists studied this motion, common to organic and inorganic particles of microscopic size when suspended in a liquid, to determine the causes and the dynamics of the motion.

This volume contains five papers investigating the dynamics of this phenomenon by Albert Einstein. Written between 1905 and 1908, the papers evolve an elementary theory of the Brownian motion, of interest not only to mathematicians but also to chemists and physical chemists. The titles of the papers are: "Movement of Small Particles Suspended in a Stationary Liquid Demanded by the Molecular-Kinetic Theory of Heat"; "On the Theory of the Brownian Movement"; "A New Determination of Molecular Dimensions"; "Theoretical Observations on the Brownian Motion"; and "Elementary Theory of the Brownian Motion."

The editor, R. Fürth, has provided notes at the end of the book which discuss the history of the investigation of the Brownian movement, provide simple elucidations of the text, and analyze the significance of these papers.

]]>The editor, R. Fürth, has provided notes at the end of the book which discuss the history of the investigation of the Brownian movement, provide simple elucidations of the text, and analyze the significance of these papers.

Algorithms are a fundamental component of robotic systems. Robot algorithms process inputs from sensors that provide noisy and partial data, build geometric and physical models of the world, plan high-and low-level actions at different time horizons, and execute these actions on actuators with limited precision. The design and analysis of robot algorithms raise a unique combination of questions from many elds, including control theory, computational geometry and topology, geometrical and physical modeling, reasoning under uncertainty, probabilistic algorithms, game theory, and theoretical computer science.

The Workshop on Algorithmic Foundations of Robotics (WAFR) is a single-track meeting of leading researchers in the eld of robot algorithms. Since its inception in 1994, WAFR has been held every other year, and has provided one of the premiere venues for the publication of some of the eld's most important and lasting contributions.

This books contains the proceedings of the tenth WAFR, held on June 13{15 2012 at the Massachusetts Institute of Technology. The 37 papers included in this book cover a broad range of topics, from fundamental theoretical issues in robot motion planning, control, and perception, to novel applications.

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