This is a first draft of lecture notes for a course given at the LMU Munich in July 2011. 1. Sobolev inequalities and uncertainty principles 1.1. Example: Stability of the hydrogen atom. We consider a single particle of mass 1/2 moving in three-dimensional space in the presence of a potential V . We recall that in classical mechanics the state of such a system (at a given time) is described by ...

There is now an extensive literature on “gift exchange” showing that when principals and agents can trade “gifts” (rewards that should not emerge in a competitive equilibrium), exchange becomes more efficient. However, it is not obvious how gift exchange should be organized if the principal’s goal is to increase the performance of a reciprocal agent. Specifically, who should make the first gift...

Promoting settlement compactness and controlling fragmentation are often discussed as important goals towards sustainability. The article deals with the exploration of 111 urban municipalities in Germany. All cities are compared by characteristics of the urban form and typical statistical facts about cities such as population, employees or buildings. Spatial metrics (e.g. contagion index, core-...

To stimulate the Spatial Data Infrastructures (SDI) development effectively and efficiently, it is key to assess the progress and benefits of the SDI. Currently, several SDI assessment methods exist. However, these are still in an infant stage and none of these appear to meet the requirements of practitioners. As a result, SDI decision makers are still without any guidance on the performance of...

An important step to improving processes is first understanding them. I report here a case study in process understanding using the process modeling language Interact. I illustrate both the language and the process iteratively, somewhat in the way it might actually be done, and then provide the completed model. I close with lessons to be drawn from this study about understanding and improving p...

There is now considerable controversy concerning the role that incremental change plays in the process of organizational transformation. Some scholars assert that incremental change is the primary source of resistance to more radical re-orientations, while others argue that on occasion, ongoing incremental change can produce dramatic transformation. To help reconcile these competing perspective...

Objective of this paper is to identify key prerequisites as well as enablers for inter-organisational knowledge management. Considering knowledge as being something bound to individuals, the authors are convinced that knolwedge itself cannot be managed unless the individual and his communication behaviour is put at the heart of the observations. Baseline of the underlying work is a first draft ...

We completely solve the problem of enumerating combinatorially inequivalent d-dimensional polytopes with d + 3 vertices. A first solution of this problem, by Lloyd, was published in 1970. But the obtained counting formula was not correct, as pointed out in the new edition of Grünbaum’s book. We both correct the mistake of Lloyd and propose a more detailed and self-contained solution, relying on...

We present an informal survey (meant to accompany another paper) on graph compression methods. We focus on lossless methods, briefly list available approaches, and compare them where possible or give some indicators on their compression ratios. We also mention some relevant results from the field of lossy compression and algorithms specialized for the use on large graphs. — Note: The comparison...

1 and Theory 2 3 4 Jay M. Goldberg and Joseph C. Holt 5 Department of Pharmacological and Physiological Sciences, University of Chicago, 6 Chicago, Illinois 7 8 AUTHOR CONTRIBUTIONS. Both authors conceived the research. JCH did the experiments. 9 JMG analyzed the data and wrote the first draft of the paper, which was then modified 10 by both authors. 11 12 Running head: Discharge regularity, ve...