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Phase transition of the principal Dirichlet eigenvalue in a scaled Poissonian potential

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Publication:5936991
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DOI10.1007/s004400000112zbMath1037.82022MaRDI QIDQ5936991

Mario V. Wüthrich, Franz Merkl

Publication date: 2001

Published in: Probability Theory and Related Fields (Search for Journal in Brave)



Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Phase transitions (general) in equilibrium statistical mechanics (82B26)


Related Items (5)

An invariance principle for the two-dimensional parabolic Anderson model with small potential ⋮ Extremal theory for spectrum of random discrete Schrödinger operator. I: Asymptotic expansion formulas ⋮ Annealed survival asymptotics for Brownian motion in a scaled Poissonian potential. ⋮ Brownian survival among Poissonian traps with random shapes at critical intensity ⋮ Phase transitions in asymptotically singular Anderson Hamiltonian and parabolic model




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