Contributors to cobweb theory include many leading economists of the twentieth century. From early beginnings in 1930, played a key role evolving perceptions market stability arising from recursive linear models with endogenous dynamics. The focal point this evolution is transition naive adaptive rational price expectations. After review prehistory, paper examines first wave initiated by Jan Ti...

Vacuum compactifications may suffer from instabilities under small perturbations or tunnel effects; both are difficult to analyze. In this paper we consider the issue a higher-dimensional perspective. We first look at how stability works for supersymmetric vacua, where it is widely expected hold. show that nucleation of brane bubbles in type II AdS forbidden probe approximation by simple argume...

In the design of decentralized networked systems, it is useful to know whether a given network topology can sustain stable dynamics. We consider a basic version of this problem here: given a vector space of sparse real matrices, does it contain a stable (Hurwitz) matrix? Said differently, is a feedback channel (corresponding to a non-zero entry) necessary for stabilization or can it be done wit...

The method of independent bounded differences (McDiarmid, 1989) gives largedeviation concentration bounds for multivariate functions in terms of the maximum effect that changing one coordinate of the input can have on the output. This method has been widely used in combinatorial applications, and in learning theory. In some recent applications to the theory of algorithmic stability (Kutin and N...