6533b823fe1ef96bd127eb5f

RESEARCH PRODUCT

Fractal surfaces from simple arithmetic operations

Vladimir García-morales

subject

FOS: Computer and information sciencesStatistics and ProbabilityDiscrete mathematicsOther Computer Science (cs.OH)Condensed Matter Physics01 natural sciences010305 fluids & plasmasSelf-affinityFractalSimple (abstract algebra)Computer Science - Other Computer Science0103 physical sciencesRoughness exponentExponentStatistical physicsAlphabet010306 general physicsBitwise operationReal numberMathematics

description

Fractal surfaces ('patchwork quilts') are shown to arise under most general circumstances involving simple bitwise operations between real numbers. A theory is presented for all deterministic bitwise operations on a finite alphabet. It is shown that these models give rise to a roughness exponent $H$ that shapes the resulting spatial patterns, larger values of the exponent leading to coarser surfaces.

yearjournalcountryeditionlanguage
2015-06-11
10.1016/j.physa.2015.12.028http://arxiv.org/abs/1507.01444