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51 papers · 1 filter
The Complexity of One or Many Faces in the Overlay of Many Arrangements
Sariel Har-Peled
We present an extension of the Combination Lemma of [GSS89] that expresses the complexity of one or several faces in the overlay of many arrangements, as a function of the number o…
Bugs with Features: Vision-Based Fault-Tolerant Collective Motion Inspired by Nature
Peleg Shefi, Amir Ayali, Gal A. Kaminka
In collective motion, perceptually-limited individuals move in an ordered manner, without centralized control. The perception of each individual is highly localized, as is its abil…
Polygon Containment and Translational Min-Hausdorff-Distance between Segment Sets are 3SUM-Hard
Gill Barequet, Sariel Har-Peled
The 3SUM problem represents a class of problems conjectured to require time to solve, where is the size of the input. Given two polygons and in the plane, we s…
Disentangling the Cosmic/Comoving Duality: The Cognitive Stability and Typicality Tests
Meir Shimon
Cosmological scenarios wherein the cumulative number of spontaneously formed, cognitively impaired, disembodied transient observers is vastly larger than the corresponding number o…
Composition/structure directed search for new chalcogenide compounds
Alon Hever, Ohad Levy, Stefano Curtarolo +1
This work presents a simple scheme for finding new crystalline compounds by adapting structure types from neighbor atoms compounds. The approach is demonstrated for the selenide an…
Heteronuclear and Homonuclear Vector Solitons in Lasers
Du Yueqing, Zhang Zhenzhu, Zhang Heze +6
Vector solitons (VSs), being observed across various fields from optics to Bose-Einstein condensates, are localized structures composed of orthogonal modes bound by nonlinear coupl…