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math.DS2026
Temporal Metric Spaces and Temporal Iterated Function Systems
Amal P. S., Vinod Kumar P. B., Ramkumar P. B
We introduce temporal metric spaces, a framework for formalizing metric and topological structures on continuously evolving domains. Rather than defining a single metric on a fixed…
math.DS2026
Hausdorff Dimension of a Class of Self-Affine Sets
Amal P. S., Vinod Kumar P. B., Ramkumar P. B
In this paper, exact Hausdorff dimension formulas for a class of self-affine attractors generated by affine Iterated Function Systems are derived. We consider systems containing an…