Phase transition of the principal Dirichlet eigenvalue in a scaled Poissonian potential
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Publication:5936991
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)
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)
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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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