Multi-multifractality and dynamic scaling in stochastic porous lattice
Tushar Mitra,
Md. Kamrul Hassan
Abstract:In this article, we extend the idea of stochastic dyadic Cantor set to weighted planar stochastic lattice that leads to a stochastic porous lattice. The process starts with an initiator which we choose to be a square of unit area for convenience. We then define a generator that divides the initiator or one of the blocks, picked preferentially with respect to their areas, to divide it either horizontally or vertically into two rectangles of which one of them is removed with probability q = 1 − p. We find that t… Show more
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