7 problems

Let the GV-MR curve be the union … where $\rho_{\rm MR}$ and $\rho_{\rm LB}$ are the rate functions defined by the paper's GV-MR and GV-LB optimization problems. Conjecture. The GV…

The procedure defines two rate functions, $R_{\rm LB}(\delta)$ and $R_{\rm MR}(\delta)$, for relative distance $\delta$, with the boundary-case value $R_{\rm LB}(\delta)$ obtained…

Consider a periodic optimal control problem satisfying Assumption 2, namely, there is a positive constant $c_{\kappa}$ such that, at every time step and for every constant paramete…

Let $\Delta S_1$ denote the Page correction to the von Neumann entanglement entropy of a subsystem in a constrained system, and let Page's result be the corresponding correction fo…

Let $(q,p)$ be a canonical doublet, and let $N\geq 3$ variables $(x_1,\ldots,x_N)$ be functions of $(q,p)$, treated as fundamental variables. If these variables are redundant, cons…

A Chern–Simons system is a field-theoretic system governed by a Chern–Simons action principle, and a system is irreducible if it cannot be replaced by a non-degenerate action princ…

Let $G$ be the gauge group generated by the first class constraints $\phi_a$, and let $H_i$ be the quantum operators corresponding to the classical residual gauge generators…