Abstract: We compute rigorously the scaling limit of multi-point energy correlations in the critical Ising model on a torus. For…
Abstract: In the first half of the talk, we consider a generalised oriented site percolation process on (GOSP). We introduce…
Abstract: Consider a large, finite, connected, transitive graph. In bond percolation, each edge is independently set to “open” with probability…
Abstract: I will discuss two sets of related results concerning critical long-range percolation on Euclidean and hierarchical lattices. For Euclidean…
Abstract: In 1999, Benjamini, Kalai and Schramm introduced the concept of noise sensitivity of a Boolean function, and outlined methods…
Abstract: We prove upper bound bounds on the one-arm exponent for dependent percolation models; while our main interest is level…
Abstract: We consider the bond percolation problem on a transient weighted graph induced by the excursion sets of the Gaussian…
Abstract: We consider the bond percolation model on the lattice () with the constraint to be fully connected. Each edge…
Abstract: We study plaquette percolation on a -dimensional torus defined by identifying opposite faces of the cube , and phase…
Abstract: It is known that there are factors of IID for the free Ising model on the -regular tree when…