8 problems

Consider reaction-diffusion processes of the form … where $m$ and $n$ are the orders of creation and removal, while $k$ and $l$ determine additional symmetries such as parity conse…

Let the directed-percolation (DP) and pair-contact process (PCP) models be considered at their steady-state critical transitions, and let $m_n=\langle\rho^n\rangle$ denote order-pa…

Consider the coagulation-fission process with reactions $2A\to 3A$ and $2A\to A$, together with diffusion, including the variants described in the source. Odor's conjecture. The co…

Let the pair-contact process with diffusion (PCPD) be considered at low and high diffusion rates. Odor's conjecture. The PCPD might belong to two different universality classes for…

In a one-dimensional diffusive system, consider fluctuations of the time-integrated current over a long observation time and the optimal trajectories governing their probability. A…

Consider a large queueing network in which one or more observed current(s) are gradually increased, and distinguish the uncongested regime from the fully congested regime by the nu…

Consider the reduced system of equations for $P_{s;q}(n)$ in the single-station feedback queue, with spectral boundaries $s_-$ and $s_+$. Spectral-boundary conjecture. The system o…

Distribution distinction conjecture. The two distribution functions $P_{\bm q}(\bar{n})$ and $P_{\bm q}(n(t))$ are different for every value of $q$, except for the special value co…