Suppose E/F is a quadratic extension of number fields and GU(2, 2) is the quasi-split unitary similitude group attached to E/F . We prove functoriality from globally generic cuspidal representations of GU(2, 2)(AF ) to automorphic representations of GL6(AF ) corresponding to the twisted exterior square map on the dual side. For a split quadratic algebra E/F , the twisted exterior square map red...

In our earlier paper [A square root map on Sturmian words, Electron. J. Combin. 24.1 (2017)], we introduced a symbolic square root map. Every optimal squareful infinite word s contains exactly six minimal squares and can be written as a product of these squares: s = X2 1X 2 2 · · · . The square root √ s of s is the infinite word X1X2 · · · obtained by deleting half of each square. We proved tha...

The square map is one of the functions that is used in cryptography. For instance, the square map is used in Rabin encryption scheme, block cipher RC6 and stream cipher Rabbit, in different forms. In this paper we study a special case of the square map, namely the square function modulo a power of two. We obtain probability distribution of the output of this map as a vectorial Boolean function....

Mental representations of environments are embodied in cognitive maps. Cognitive maps enclose spatial and distance distortions, which appear due to transcription errors based on processing of map information. Participants processed complex cartographical maps of varying amounts of visual details like topography, boundaries and grid to examine their effects on recall and orientation performance....

We present a map between squares and disks that associates concentric squares with concentric circles. This map preserves adjacency and fractional area, and has proven useful in many sampling applications where correspondences must be maintained between the two shapes. We also provide code to compute the map that minimizes branching and is robust for all inputs. Finally, we extend the map to th...