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math.RT2024

Dualizing involutions on the -fold metaplectic cover of $\GL(2)$

Kumar Balasubramanian, Sanjeev Kumar Pandey, Renu Joshi +1

Let be a non-Archimedean local field of characteristic zero and $G=\GL(2,F)$. Let be a positive integer and $\widetilde{G}=\widetilde{\GL}(2,F)$ be the -fold metap…

eess.SY2024

Experimental Demonstration of Remote Synchronization in Coupled Nonlinear Oscillator

Sanjeev Kumar Pandey

This study investigates remote synchronization in scale-free networks of coupled nonlinear oscillators inspired by synchronization observed in the brain's cortical regions and powe…

eess.SY2024

Demonstrating Remote Synchronization: An Experimental Approach with Nonlinear Oscillators

Sanjeev Kumar Pandey, Neetish Patel

This study investigates remote synchronization in arbitrary network clusters of coupled nonlinear oscillators, a phenomenon inspired by neural synchronization in the brain. Employi…

eess.SY2024

A Necessary and Sufficient Condition for Local Synchronization in Nonlinear Oscillator Networks

Sanjeev Kumar Pandey, Shaunak Sen, Indra Narayan Kar

Determining conditions on the coupling strength for the synchronization in networks of interconnected oscillators is a challenging problem in nonlinear dynamics. While sophisticate…

math.RT2024

Structure of Twisted Jacquet Modules of principal series representations of

Sanjeev Kumar Pandey, C G Venketasubramanian

Let be a non-archimedean local field. For the symplectic group let and denote respectively its Siegel and Klingen parabolic subgroups with respective Levi…