Generic exponential lower-bound conjecture for the Diophantine parameter of random isometries
Let RDPV(n,θ)R_{\mathrm{DPV}}(n,\theta)RDPV(n,θ) denote the parameter appearing in the Diophantine condition DPV(n,R)\mathrm{DPV}(n,R)DPV(n,R) for an angle θ∈[0,2π)\theta\in[0,2\pi)θ∈[0,2π). The paper proves, when…