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作者：Eckhoff, M
作者单位：University of Zurich
摘要：We investigate the close connection between metastability of the reversible diffusion process X defined by the stochastic differential equation dX(t) = -delF(X-t) dt + root2epsilondW(t), epsilon > 0, and the spectrum near zero of its generator -L-epsilon equivalent to epsilonDelta - delF (.) del, where F: R-d --> R and W denotes Brownian motion on R-d. For generic F to each local minimum of F there corresponds a metastable state. We prove that the distribution of its resealed relaxation time c...
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作者：Johansson, K
作者单位：Royal Institute of Technology
摘要：We prove that the, appropriately rescaled, boundary of the north polar region in the Aztec diamond converges to the Airy process. The proof uses certain determinantal point processes given by the extended Krawtchouk kernel. We also prove a version of Propp's conjecture concerning the structure of the tiling at the center of the Aztec diamond.
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作者：Dubédat, J
作者单位：Universite Paris Saclay
摘要：Various features of the two-parameter family of Schramm-Loewner evolutions SLE(kappa, rho) are studied. In particular, we derive certain restriction properties that lead to a strong duality conjecture, which is an identity in law between the outer boundary of a variant of the SLE(kappa) process for kappa greater than or equal to 4 and a variant of the SLE(16/kappa) process.
