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Nicolas Lanchier,
Assistant Professor.
Office: PSA 628
Area of research: Stochastic processes
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Research interest:
Most mathematical models introduced in the biological literature that describe inherently spatial phenomena of interacting
populations consist of systems of ordinary differential equations, thus leaving out any spatial structure. The spatial
component, however, is identified as an important factor in how communities are shaped, and spatial models can result in
predictions that differ from non-spatial models. The aim of my research is to understand the role of space in ecology,
epidemiology and population genetics through the mathematical analysis of a class of stochastic processes known as interacting
particle systems. These processes are ideally suited to investigate the consequences of the inclusion of a spatial
structure in the form of stochastic and local interactions. This includes generalizations of the contact process and the
voter model in spatially heterogeneous environments and on inhomogeneous graphs.