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Consider a dense sampling S of the smooth boundary of a planar shape O, i.e., an open subset of R-2. We show that the medial axis of the union of Voronoi balls centered at Voronoi vertices inside O has a particularly simple structure: it is the union of al ...
Many reliable distributed systems are consensus-based and typically operate under two modes: a fast normal mode in failure-free periods, and a slower recovery mode following failures. A lot of work has been devoted to optimizing the normal mode, but little ...
In 1971, the first microprocessor produced in mass production had 2300 transistor and was able to compute 60'000 operations per second at 740 kHz. Nowadays, even a common gaming console uses a central unit including 243 millions of transistors running at 4 ...
This paper presents a tight lower bound on the time complexity of indulgent consensus algorithms, i.e., consensus algorithms that use unreliable failure detectors. We state and prove our tight lower bound in the unifying framework of round-by-round fault d ...
In this paper we give a recursive fixpoint characterization of the winning regions in Rabin and Streett games. We use this characterization in two ways. First, we introduce direct Rabin and Streett ranking that are a sound and complete way to characterize ...
This paper establishes tight lower bounds on the time complexity of algorithms solving the generic broadcast problem. Generic broadcast assumes a symmetric, non-reflexive conflict relation on the set of messages, and requires ordered delivery only for conf ...
Batch control has traditionally addressed the problems related to the absence of a steady state and the finite batch duration. Recently, batch control has added the dimension that arises naturally from the possibility of applying run-to-run control, i.e. i ...
In handsfree tele or video conferencing acoustic echoes arise due to the coupling between the loudspeaker and microphone. Usually an acoustic echo canceler (AEC) is used for eliminating the undesired echoes. The weaknesses of AEC are that it is relatively ...
Many recommend planning for the worst and hoping for the best. In this paper we devise efficient indulgent consensus algorithms that can tolerate crash failures and arbitrarily long periods of asynchrony, and yet perform (asymptotically) optimally in well- ...