2 citations · 4 across the 6 of their papers we have counts for
5 papers · 1 filter
Ultrametric Cantor sets and Origin of Anomalous Diffusion
Dhurjati Prasad Datta, Santanu Raut, Anuja Roy Chaudhuri
The anomalous mean square fluctuations are shown to arise naturally from the ordinary diffusion equation interpreted scale invariantly in a formalism endowing real numbers with a n…
Ultrametric Cantor Sets and Growth of Measure
D. P. Datta, S. Raut, A. Raychoudhuri
A class of ultrametric Cantor sets introduced recently in literature (Raut, S and Datta, D P (2009), Fractals, 17, 45-52) is shown to enjoy some novel properties. The…
The arrow of time, complexity and the scale free analysis
Dhurjati Prasad Datta, Santanu Raut
The origin of complex structures, randomness, and irreversibility are analyzed in the scale free SL(2,R) analysis, which is an extension of the ordinary analysis based on the recen…
Non-Archimedean Scale Invariance and Cantor Sets
Santanu Raut, Dhurjati Prasad Datta
The framework of a new scale invariant analysis on a Cantor set , presented originally in {\it S. Raut and D. P. Datta, Fractals, 17, 45-52, (2009)}, is cla…
Analysis on a Fractal Set
Santanu Raut, Dhurjati Prasad Datta
The formulation of a new analysis on a zero measure Cantor set is presented. A non-archimedean absolute value is introduced in exploiting the concept of {…