6 papers
pi-Net: Empirical Latent Representations for Differentiable Physics Heads in Data-Scarce Systems
Akshay Dhalpe, Arnab Chattopadhyay, Shahriar Bakrani Balani +2
Developing reliable predictive models for multi-physics systems often forces a compromise between computationally demanding physical simulators and data-hungry, opaque machine lear…
Continuous family of compact quantum metric space structures from cocycle twisted crossed product -algebras
Arnab Chattopadhyay, Soumalya Joardar
We establish the existence of a three-parameter family of compact quantum metric space structures on cocycle twisted crossed products by discrete groups. We are mainly interested i…
Metric dimension of -algebras of cocycle twisted transformation groupoids: Growth and dynamical complexity
Arnab Chattopadhyay, Soumalya Joardar
We consider a natural CQMS structure on a twisted transformation groupoid -algebra coming from stratified Lip-norm introduced by Austad. We obtain upper bou…
Metric dimension and product entropy of group -algebras
Arnab Chattopadhyay, Soumalya Joardar
We consider reduced group -algebras of finitely generated discrete groups metrized by seminorms obtained from word length functions. We study the metric dimensions of suc…
Metrics on -algebras of Étale groupoids from length functions
Arnab Chattopadhyay, Md Amir Hossain, Soumalya Joardar
We show that for an étale groupoid with compact unit space, the natural Dirac type operator from a continuous length function produces a natural pseudo-metric on the state space of…
Evaluating the consequences: Impact of sex-selective harvesting on fish population and identifying tipping points via life-history parameters
Joydeb Bhattacharyya, Arnab Chattopadhyay, Anurag Sau +1
Fish harvesting often targets larger individuals, which can be sex-specific due to size dimorphism or differences in behaviors like migration and spawning. Sex-selective harvesting…