Brownian survival among Poissonian traps with random shapes at critical intensity

DOI10.1007/s00440-004-0393-4zbMath1072.60067OpenAlexW2096657679MaRDI QIDQ1779991

Erwin Bolthausen, W. Th. F. den Hollander, Michiel van den Berg

Publication date: 6 June 2005

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

Full work available at URL: https://doi.org/10.1007/s00440-004-0393-4

zbMATH Keywords

Brownian motionlarge deviationsvariational problemssurvival probabilitySobolev inequalitiesrandom capacityPoisson random field of traps

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Large deviations (60F10) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Annealed asymptotics for Brownian motion of renormalized potential in mobile random medium ⋮ Asymptotics of negative exponential moments for annealed Brownian motion in a renormalized Poisson potential ⋮ Brownian motion and parabolic Anderson model in a renormalized Poisson potential ⋮ Heat content and inradius for regions with a Brownian boundary ⋮ Quenched law of large numbers for branching Brownian motion in a random medium

Cites Work

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• Sur la saucisse de Wiener et les points multiples du mouvement Brownien. (On the Wiener sausage and the multiple points of Brownian motion)
• Asymptotics of the generating function for the volume of the Wiener sausage
• Infinite volume asymptotics of the ground state energy in a scaled Poissonian potential
• Annealed survival asymptotics for Brownian motion in a scaled Poissonian potential.
• Electrostatic capacity, heat flow, and brownian motion
• Phase transition of the principal Dirichlet eigenvalue in a scaled Poissonian potential

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