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38 papers · 1 filter
Ising (Conformal) Fields and Cluster Area Measures
Federico Camia, Charles M. Newman
We provide a representation for the scaling limit of the d=2 critical Ising magnetization field as a (conformal) random field using SLE (Schramm-Loewner Evolution) clusters and ass…
Well-posedness of a parabolic moving-boundary problem in the setting of Wasserstein gradient flows
Jacobus W. Portegies, Mark A. Peletier
We develop a gradient-flow framework based on the Wasserstein metric for a parabolic moving-boundary problem that models crystal dissolution and precipitation. In doing so we deriv…
Coagulation, diffusion and the continuous Smoluchowski equation
Mohammad Reza Yaghouti, Fraydoun Rezakhanlou, Alan Hammond
The Smoluchowski equation is a system of partial differential equations modelling the diffusion and binary coagulation of a large collection of tiny particles. The mass parameter m…
Quadratic algebras and integrable chains
F. Soloviev
Using Krichever-Phong's universal formula, we show that a multiplicative representation linearizes Sklyanin quadratic brackets for a multi-pole Lax function with a spectral paramet…
How hot can a heat bath get?
Martin Hairer
We study a model of two interacting Hamiltonian particles subject to a common potential in contact with two Langevin heat reservoirs: one at finite and one at infinite temperature.…
Complex Valued Analytic Torsion for Flat Bundles and for Holomorphic Bundles with (1,1) Connections
Sylvain E. Cappell, Edward Y. Miller
The work of Ray and Singer which introduced analytic torsion, a kind of determinant of the Laplacian operator in topological and holomorphic settings, is naturally generalized in b…