88 citations · 574 across the 22 of their papers we have counts for
22 papers
An aggregation equation with degenerate diffusion: qualitative property of solutions
Lincoln Chayes, Inwon Kim, Yao Yao
We study a nonlocal aggregation equation with degenerate diffusion, set in a periodic domain. This equation represents the generalization to of the McKean-Vlasov equation w…
Hamiltonian ODE's on a Space of Deficient Measures
L. Chayes, W. Gangbo, H. K. Lei
We continue the study (initiated in [1]) of Borel measures whose time evolution is provided by an interacting Hamiltonian structure. Here, the principal focus is the development an…
Global existence and uniqueness of solutions to a model of price formation
Lincoln Chayes, Maria del Mar Gonzalez, Maria Pia Gualdani +1
We study a model due to J.M. Lasry and P.L. Lions, describing the evolution of a scalar price which is realized as a free boundary in a 1-D diffusion equation with dynamically evol…
The Phase Diagram of the Quantum Curie-Weiss Model
Lincoln Chayes, Nicholas Crawford, Dmitry Ioffe +1
This paper studies a generalization of the Curie-Weiss model (the Ising model on a complete graph) to quantum mechanics. Using a natural probabilistic representation of this model,…
Large Scale Properties of the IIIC for 2D Percolation
Lincoln Chayes, Pierre Nolin
We reinvestigate the 2D problem of the inhomogeneous incipient infinite cluster where, in an independent percolation model, the density decays to p_c with an inverse power, λ, of t…
One dimensional nearest neighbor exclusion processes in inhomogeneous and random environments
Lincoln Chayes, Thomas M. Liggett
The processes described in the title always have reversible stationary distributions. In this paper, we give sufficient conditions for the existence of, and for the nonexistence of…