Jul

23

2018

Jul

23

2018

In Probability, the FKG (short for Fortuinâ€“Kasteleynâ€“Ginibre) Inequality is a correlation inequality and a fundamental tool in statistical mechanics and probabilistic combinatorics, especially random graphs with probabilistic method. In many random systems, increasing events are positively correlated, while an increasing and a decreasing event are negatively correlated.

Jul

24

2018

Generalization is a fundamental mathematical practice across all disciplines and content areas (Amit & Klass, 2005; Lannin, 2005; Pierce, 1902; Vygotsky, 1986; Ellis, Lockwood, Tillema & Moore, 2017).

Jul

25

2018

Jul

25

2018

In this talk we discuss multiple approaches to modeling coupled flow and energy systems, with applications to geothermal fluid flow in geysers. We study a model from a geophysical point of view, and discuss analysis of a related model. We then focus on our own model which features a free-boundary problem solved with an iteration and involving a numerical integration routine.