Continuum limits in the form of stochastic differential equations are typically used theoretical population genetics to account for genetic drift or more generally, inherent randomness model. In evolutionary game theory and ecology, however, this method is less frequently study demographic stochasticity. Here, we review use continuum ecology evolution. Starting with an individual-based model, d...

The parton quasidistribution functions approach provides a path to computing distribution (PDFs) using lattice QCD. This requires matrix elements of power-divergent operator in nucleon at high momentum and one generically expects discretization effects starting first order the spacing $a$. Therefore, it is important demonstrate that continuum limit can be reliably taken understand size shape ar...

For systems of coupled differential equations on a sequence of W -random graphs, we derive the continuum limit in the form of an evolution integral equation. We prove that solutions of the initial value problems (IVPs) for the discrete model converge to the solution of the IVP for its continuum limit. These results combined with the analysis of nonlocally coupled deterministic networks in Medve...