introduction: autism spectrum disorders (asd) belong to the pervasive neurodevelopmental disorders. the prevalence of asd has increased significantly throughout recent decades, bringing the overall estimated prevalence to 11.3 per 1000 children. asd is characterized by severe difficulties in reciprocal social interaction, stereotyped patterns of behavior and profound impairments in verbal and n...

We introduce a simple geometric model which describes the kinetics of fragmentation of d-dimensional objects. In one dimension our model coincides with the random scission model and show a simple scaling behavior in the long-time limit. For d > 1, the volume of the fragments is characterized by a single scale 1/t, while other geometric properties such as the length are characterized by an infin...