Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Chayes, Lincoln"'
We study the well-known sociological phenomenon of gang aggregation and territory formation through an interacting agent system defined on a lattice. We introduce a two-gang Hamiltonian model where agents have red or blue affiliation but are otherwis
Externí odkaz:
http://arxiv.org/abs/1208.0401
We study a nonlocal aggregation equation with degenerate diffusion, set in a periodic domain. This equation represents the generalization to $m > 1$ of the McKean-Vlasov equation where here the "diffusive" portion of the dynamics are governed by Poro
Externí odkaz:
http://arxiv.org/abs/1204.3938
Autor:
Chayes, Lincoln, Panferov, Vladislav
We study the McKean--Vlasov equation on the finite tori of length scale $L$ in $d$--dimensions. We derive the necessary and sufficient conditions for the existence of a phase transition, which are based on the criteria first uncovered in \cite{GP} an
Externí odkaz:
http://arxiv.org/abs/0910.4615
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 evolving, non-standard sources. We establish global existence and uniquene
Externí odkaz:
http://arxiv.org/abs/0902.3851
Publikováno v:
Phil. Mag. 88, 3093-3095 (2008)
In a recent paper published in the Philosophical Magazine [Z.-D. Zhang, Phil. Mag. 87, 5309-5419 (2007), arXiv:0705.1045], the author advances a conjectured solution for various properties of the three-dimensional Ising model. Here we disprove the co
Externí odkaz:
http://arxiv.org/abs/0811.3876
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Akademický článek
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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, we give a complete picture of the phase diagram of the model in the p
Externí odkaz:
http://arxiv.org/abs/0804.1605
Autor:
Chayes, Lincoln, Nolin, Pierre
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, \lambda, of the distance to the origin. Assuming the existence of critical ex
Externí odkaz:
http://arxiv.org/abs/0705.3570
Experiments on $^4$He films reveal an attractive Casimir-like force at the bulk $\lambda$-point, and in the superfluid regime. Previous work has explained the magnitude of this force at the $\lambda$ transition and deep in the superfluid region but n
Externí odkaz:
http://arxiv.org/abs/cond-mat/0703262