Outputs (2)

Phase separation and sharp large deviations (2020)
Conference Proceeding
Hryniv, O., & Wallace, C. (2020). Phase separation and sharp large deviations. In S. Poghosyan, M. Rafler, & S. Roelly (Eds.), Proceedings of the XI international conference Stochastic and Analytic Methods in Mathematical Physics (155-164). https://doi.org/10.25932/publishup-45919

Using a refined analysis of phase boundaries, we derive sharp asymptotics of the large deviation probabilities for the total magnetisation of a low-temperature Ising model in two dimensions.

Steady states of lattice population models with immigration (2020)
Journal Article
Chernousova, E., Feng, Y., Hryniv, O., Molchanov, S., & Whitmeyer, J. (2021). Steady states of lattice population models with immigration. Mathematical Population Studies, 28(2), 63-80. https://doi.org/10.1080/08898480.2020.1767411

In a lattice population model where individuals evolve as subcritical branching random walks subject to external immigration, the cumulants are estimated and the existence of the steady state is proved. The resulting dynamics are Lyapunov stable in t... Read More about Steady states of lattice population models with immigration.