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The pulmonary acinus, known as the gas exchange region of the lung, encompasses the complex of millions of sub-millimeter alveoli and may represent a potential host for pulmonary complications and diseases. These health disorders may require the inhalation of therapeutic drugs typically administered in the form of aerosolized particles. Both a precise understanding of the mechanisms leading to particle deposition as well as the need to target aerosols to specific pulmonary sites, remain ongoing challenges and depend directly on the fluid dynamics in the lung, and specifically on the...

The principal purpose of this book is to provide an account of the circle of ideas, results and techniques, which emerged roughly over the last ten years in the study of Brownian motion and random obstacles. The accumulation of results in many separate sources eventually made it impractical, if not impossible, for the nonspecialist to gain access to the developments of the subject. This book is an attempt to remedy this situation. Part of the thrill of the investigation of Brownian motion and random obsta- cles certainly stems from its many connections with various areas of math- ematics, but...

The principal purpose of this book is to provide an account of the circle of ideas, results and techniques, which emerged roughly over the last ten years in the study of Brownian motion and random obstacles. The accumulation of results in many separate sources eventually made it impractical, if not impossible, for the nonspecialist to gain access to the developments of the subject. This book is an attempt to remedy this situation. Part of the thrill of the investigation of Brownian motion and random obsta- cles certainly stems from its many connections with various areas of math- ematics, but...

The following notes grew out oflectures held during the DMV-Seminar on Random Media in November 1999 at the Mathematics Research Institute of Oberwolfach, and in February-March 2000 at the Ecole Normale Superieure in Paris. In both places the atmosphere was very friendly and stimulating. The positive response of the audience was encouragement enough to write up these notes. I hope they will carryover the enjoyment of the live lectures. I whole heartedly wish to thank Profs. Matthias Kreck and Jean-Franc;ois Le Gall who were respon sible for these two very enjoyable visits, Laurent Miclo for...

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