Catastrophic fault patterns and glacial landscapesDošlić, Tomislav (Avtor) Podrug, Luka (Avtor) Zubac, Ivana (Avtor) Catastrophic fault patternsDyck pathMotznik pathCatastrophic fault patterns are failure patterns resulting in the loss of connectivity of a processor array. We provide bijective correspondences between such patterns in one-dimensional processor arrays and lattice paths satisfying certain inertial criteria. In that way, we obtain new results for the asymptotic behavior of the enumerating sequences of catastrophic fault patterns.We also recover and reinterpret several known enumerative results and open possibilities for obtaining analogous results for more complex, but still essentially one-dimensional arrays.20262026-08-28 11:54:08Neznano14503sl