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Random phase approximation (RPA) was proposed by Bohm and Pines in four seminal papers during 1951-1953 to describe the correlation of fermions, namely the correction to the Hartree-Fock theory. While...
An international team of researchers has revealed new evidence on the nature of mysterious fast radio bursts (FRBs) – objects in space that produce brief, intense flashes of radio waves from distant g...
Liouville quantum gravity (LQG) is a theory of random surfaces that originated from string theory. Schramm Loewner evolution (SLE) is a family of random planar curves describing scaling limits of many...
Asked to name his favorite tree, Paul W. Meyer, the former director of Penn’s Morris Arboretum, likens the task to “asking a parent to name their favorite child.”
A research team led by Cornell University faculty and alumni is reimagining design approaches to the materials that make up the world around us – polymers, textiles and semiconductors, among others – ...
In this talk, we will show several results for correlated nearest neighbor site percolation on Z^d. In particular, we will show that in three dimensions the strongly correlated massless harmonic cryst...
In this talk, we prove that Bernoulli percolation on graph undergoes a non-trivial phase transition if the graph has bounded degrees and random walk on the graph has a heat kernel with rapid decay. Th...
In this talk, I will introduce the precise late-time asymptotics for the scalar field in the interior of a non-static subextreme Kerr black hole, which provides a new proof of the generic $H^1_{loc}$-...
In this lecture, I will discuss some of the recent progresses in the level-set percolation of Gaussian free field in (d\geq 3), including the positivity of threshold and (if time permits) sharp phase ...
In this lecture, I will discuss some of the recent progresses in the level-set percolation of Gaussian free field in (d\geq 3), including the positivity of threshold and (if time permits) sharp phase ...
The (discrete) Gaussian free field (dGFF) on a transient graph, simply put, is the random Gaussian field with covariance given through Green’s function of the random walk on that graph. It is in many ...
We study the linearized Vlasov equations and the linearized Vlasov-Fokker-Planck equations in the weakly collisional limit in a uniform magnetic field. In both cases, we consider periodic confinement ...
When we look out into space, all of the astrophysical objects that we see are embedded in magnetic fields. This is true not only in the neighborhood of stars and planets, but also in the deep space be...
The selection of superior lines is extremely important to improve the utilization rate and economic value of bamboo. In this research, 120 anther-regenerated bamboo lines were planted in the field, an...
In 2016, physicist J.C. Séamus Davis discovered an elusive state of quantum matter in the cuprates, which are copper oxide materials laced with other atoms. That launched a new sub-field in the study ...

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