The erosion of a set in Euclidean space by a radius r > 0 is the subset of X consisting of points at distance ≥ r from the complement of X. A set is resilient to erosion if it is similar to its erosion by some positive radius. We give a somewhat surprising characterization of resilient sets, consisting in one part of simple geometric constraints on convex resilient sets, and, in another, a corr...

The main construction for resilient functions uses linear error-correcting codes; a resilient function constructed in this way is said to be linear. It has been conjectured that if there exists a resilient function, then there exists a linear function with the same parameters. In this note, we construct innnite classes of non-linear resilient functions from the Kerdock and Preparata codes. We a...

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Informal economy (IE) is second only to the US economy in size; however, the role of ICT in IE remains largely unexplored. In this study, we conduct an empirical analysis of the role of ICT in IE growth. With PLS analysis involving more than 100 nations, we show that ICT products and software piracy may play important roles in IE growth, that impact of ICT and other determinants on IE growth re...

With minimal sleight of hand, it is possible to transform the recent growth experience of the People’s Republic of China from the extraordinary into the mundane. Systematic understatement of inflation by enterprises accounts for 2.5 percent growth per year in the nonagricultural economy during the first two decades of the reform period (1978–98). The usual suspects (i.e., rising participation r...

The sharing economy will blur the distinctions between renting and owning a wide variety of durable products. The first great entrepreneurial (Neolithic) revolution transformed hunter-gatherers into fixed agriculturalists. The second (Industrial) revolution dramatically reduced the costs of owning products. The third (Transactions Costs) revolution will reduce the costs of exchange, fostering a...

Repair mechanisms are important within resilient systems to maintain the system in an operational state after an error occurred. Usually, constraints on the repair mechanisms are imposed, e.g., concerning the time or resources required (such as energy consumption or other kinds of costs). For systems modeled by Markov decision processes (MDPs), we introduce the concept of resilient schedulers, ...