@article{AIHPB_2002__38_3_253_0, author = {Merkl, Franz and W\"uthrich, Mario V.}, title = {Infinite volume asymptotics of the ground state energy in a scaled poissonian potential}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {253--284}, publisher = {Elsevier}, volume = {38}, number = {3}, year = {2002}, mrnumber = {1899454}, zbl = {0996.82036}, language = {en}, url = {http://www.numdam.org/item/AIHPB_2002__38_3_253_0/} }
TY - JOUR AU - Merkl, Franz AU - Wüthrich, Mario V. TI - Infinite volume asymptotics of the ground state energy in a scaled poissonian potential JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2002 SP - 253 EP - 284 VL - 38 IS - 3 PB - Elsevier UR - http://www.numdam.org/item/AIHPB_2002__38_3_253_0/ LA - en ID - AIHPB_2002__38_3_253_0 ER -
%0 Journal Article %A Merkl, Franz %A Wüthrich, Mario V. %T Infinite volume asymptotics of the ground state energy in a scaled poissonian potential %J Annales de l'I.H.P. Probabilités et statistiques %D 2002 %P 253-284 %V 38 %N 3 %I Elsevier %U http://www.numdam.org/item/AIHPB_2002__38_3_253_0/ %G en %F AIHPB_2002__38_3_253_0
Merkl, Franz; Wüthrich, Mario V. Infinite volume asymptotics of the ground state energy in a scaled poissonian potential. Annales de l'I.H.P. Probabilités et statistiques, Tome 38 (2002) no. 3, pp. 253-284. http://www.numdam.org/item/AIHPB_2002__38_3_253_0/
[1] Handbook of Mathematical Functions, Dover Publications, New York, 1972. | Zbl
, ,[2] Moderate deviations for the volume of the Wiener sausage, Annals of Mathematics 153 (2) (2001) 355-406. | MR | Zbl
, , ,[3] Analysis, in: Graduate Studies in Mathematics, 14, American Mathematical Society, RI, 1997. | MR | Zbl
, ,[4] Phase transition of the principal Dirichlet eigenvalue in a scaled Poissonian potential, Probab. Theory Related Fields 119 (4) (2001) 475-507. | MR | Zbl
, ,[5] Methods of Modern Mathematical Physics II: Fourier Analysis, Self Adjointness, Academic Press, San Diego, 1975. | MR | Zbl
, ,[6] Methods of Modern Mathematical Physics IV: Analysis of Operators, Academic Press, San Diego, 1978. | MR | Zbl
, ,[7] Functional Integration and Quantum Physics, Academic Press, New York, 1979. | MR | Zbl
,[8] Shape theorem, Lyapounov exponents and large deviations for Brownian motion in a Poissonian potential, Comm. Pure. Appl. Math. 47 (12) (1994) 1655-1688. | MR | Zbl
,[9] Brownian Motion, Obstacles and Random Media, Springer, Berlin, 1998. | MR | Zbl
,[10] A Treatise on the Theory of Bessel Functions, in: Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1996, reprinted. | MR | Zbl
,