Infinite volume asymptotics of the ground state energy in a scaled Poissonian potential

DOI10.1016/S0246-0203(01)01100-1zbMath0996.82036MaRDI QIDQ1599985

Mario V. Wüthrich, Franz Merkl

Publication date: 27 October 2002

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_2002__38_3_253_0

zbMATH Keywords

random Schrödinger operatorground state energy

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)

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Long-time tails in the parabolic Anderson model with bounded potential ⋮ An invariance principle for the two-dimensional parabolic Anderson model with small potential ⋮ Brownian survival among Poissonian traps with random shapes at critical intensity ⋮ A lower bound for the principal eigenvalue of the Stokes operator in a random domain ⋮ Quenched law of large numbers for branching Brownian motion in a random medium ⋮ Phase transitions in asymptotically singular Anderson Hamiltonian and parabolic model

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