3 papers
math.DS2026
Quantization Dimension of -variable Random Self-Similar Measures
Akash Banerjee, Alamgir Hossain, Md. Nasim Akhtar
The quantization problem for random fractals presents unique challenges due to the lack of uniform geometric scaling inherent in deterministic systems. In this article, we establis…
math.DS2024
Quantization of Cantor-Like Set on the Real Projective Line
A. Hossain, A. Banerjee, Md. N. Akhtar
In this article, an iterated function system (IFS) is considered on the real projective line so that the attractor is a Cantor-like set. Hausdorff dimension of this…
hep-lat2023
Broken Symmetry and Fractionalized Flux Strings in a Staggered U(1) Pure Gauge Theory
A. Banerjee, D. Banerjee, G. Kanwar +3
Inspired by self-adjoint extensions of the electric field operator in the Hamiltonian formalism, we extend the Wilsonian framework of Abelian lattice gauge theory by introducing a…