6533b826fe1ef96bd1284678

RESEARCH PRODUCT

Inhomogeneity and complexity measures for spatial patterns

María Teresa MartínR. PiaseckiAngelo PlastinoAngelo Plastino

subject

Statistics and ProbabilityStatistical Mechanics (cond-mat.stat-mech)Computer scienceFOS: Physical sciencesFísicaComplexityCondensed Matter PhysicsNon-extensive statisticsSierpinski triangleSpatial patternsSpatial ecologyStatistical physicsCondensed Matter - Statistical MechanicsCiencias Exactas

description

In this work, we examine two different measures for inhomogeneity and complexity that are derived from non-extensive considerations à la Tsallis. Their performance is then tested on theoretically generated patterns. All measures are found to exhibit a most sensitive behaviour for Sierpinski carpets. The procedures here introduced provide us with new, powerful Tsallis’ tools for analysing the inhomogeneity and complexity of spatial patterns.

https://doi.org/10.1016/s0378-4371(01)00591-x