We revisit the well-known kernel method of interpolation and, by taking a slightly unusual point view, show how it can be used (and modified in a natural way) for the…
In this talk, I will present a general framework which can be used to analyze the scaling limits of various stochastic spatial "population" models. Such models include…
We introduce and analyze a size-structured oocyte population model, with non local nonlinearities on recruitment, growth and mortality rates to take into account…
In Newtonian gravity, a self-gravitating gas around a massive object such as a star or a planet is modeled via Vlasov Poisson equation with an external Kepler potential.…
Tens of millions of people in the United States have been directly impacted by the criminal justice system, with nearly half the population affected through close…
G protein-coupled receptors (GPCRs) are membrane receptors that play a pivotal role in the regulation of reproduction and behavior in humans. Upon binding to specific…
Jian Song (Rutgers, The State University of New Jersey, Mathematics)
Physics 119
We establish the scalar curvature and distance bounds for general finite time solutions of the Kahler-Ricci flow, extending Perelman's work on the Fano Kahler-Ricci flow…
In this talk I will lay the foundations of the geometry of p-harmonic forms and L^p-Hodge theory. As an application, I will give strong evidence for (half of) a…