@incollection{SB_1998-1999__41__91_0,
author = {Komorowski, Tomasz},
title = {Brownian motion in a {Poisson} obstacle field},
booktitle = {S\'eminaire Bourbaki : volume 1998/99, expos\'es 850-864},
series = {Ast\'erisque},
note = {talk:853},
pages = {91--111},
year = {2000},
publisher = {Soci\'et\'e math\'ematique de France},
number = {266},
mrnumber = {1772671},
zbl = {0964.60091},
language = {en},
url = {https://www.numdam.org/item/SB_1998-1999__41__91_0/}
}
TY - CHAP AU - Komorowski, Tomasz TI - Brownian motion in a Poisson obstacle field BT - Séminaire Bourbaki : volume 1998/99, exposés 850-864 AU - Collectif T3 - Astérisque N1 - talk:853 PY - 2000 SP - 91 EP - 111 IS - 266 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1998-1999__41__91_0/ LA - en ID - SB_1998-1999__41__91_0 ER -
%0 Book Section %A Komorowski, Tomasz %T Brownian motion in a Poisson obstacle field %B Séminaire Bourbaki : volume 1998/99, exposés 850-864 %A Collectif %S Astérisque %Z talk:853 %D 2000 %P 91-111 %N 266 %I Société mathématique de France %U https://www.numdam.org/item/SB_1998-1999__41__91_0/ %G en %F SB_1998-1999__41__91_0
Komorowski, Tomasz. Brownian motion in a Poisson obstacle field, dans Séminaire Bourbaki : volume 1998/99, exposés 850-864, Astérisque, no. 266 (2000), Exposé no. 853, 21 p.. https://www.numdam.org/item/SB_1998-1999__41__91_0/
[1] , , - Regular variations, vol. 27, Encyclopedia of Mathemathics and its applications, Cambridge Univ. Press (1987). | Zbl | MR
[2] , - Spectral theory of random Schrödinger operator, Probability and Application, Birkhäuser, Basel (1991). | Zbl | MR
[3] - Eigenvalues in Riemannian Geometry, Academic Press, New York (1984). | Zbl | MR
[4] , - Asymptotic for the Wiener sausage, Comm. Pure Appl. Math. 28 (1975), 525-565. | Zbl | MR
[5] - Lifshitz tail in a magnetic field: the non-classical regime. Preprint (1998). | MR
[6] , - The long time properties of diffusion in a medium with static traps, J. Chem. Phys. 77 (1982), 6281-6285.
[7] , - First passage percolation, subadditive processes, stochastic networks and generalised renewal theory. In Bernoulli, Bayes, Laplace Anniversary volume, L.M. Le Cam and J. Neyman editors, Springer, New York (1965). | Zbl | MR
[8] , - Bose Einstein condensation in the presence of impurities I, II, J. Math. Phys. 14 (1973), 1626; 15 (1974), 183-186. | MR
[9] - Aspects of first passage percolation, vol 1180, Springer Lecture Notes in Math., New York (1986). | Zbl | MR
[10] - Ergodic Theorems, de Gruyter, Berlin-New York (1985). | Zbl | MR
[11] , - Kinetic roughening of growing surfaces. In Solids far from equilibrium, C. Godréche, Ed. Cambridge Univ. Press (1991), 479-582.
[12] - Energy spectrum structure and quantum states of disordered condensed systems, Sov. Phys. Uspekhi 7 (1965), 549-573. | MR
[13] - Interacting particle systems, Springer, New York (1985). | Zbl | MR
[14] , - Spectra of random and almost periodic operators, New York, Springer (1992). | Zbl | MR
[15] - Confinement of Brownian Motion among poissonian obstacles in (1998), to appear in Prob. Theory and Rel. Fields. | Zbl
[16] - Private communication (1998a).
[17] - Convergence of the normalized one dimensional Wiener sausage path measure to a mixture of Brownian taboo processes, Stochastics 29 (1990), 171-183. | Zbl | MR
[18] - Versuch einer mathemathischen Theorie der koagulationskinetischen Lösungen, Z. Phys. Chemie 92 (1918), 129-168.
[19] - Principles of Random Walk, van Nostrand, Princeton (1964). | Zbl | MR
[20] - Lifshitz tail and Wiener sausage, I, II, J. Funct. Anal. 94 (1990), 223-246, 247-272. | Zbl | MR
[21] - On the confinement property of Brownian Motion among Poisson obstacles, Comm. Pure Appl. Math. 44 (1991), 1137-1170. | Zbl | MR
[22] - Shape theorem, Lyapunov exponents and large deviation for Brownian motion in a poissonian potential, Comm. Pure Appl. Math. 47 (1994),1655-1688. | Zbl | MR
[23] - Quenched critical large deviations for Brownian motion in a poissonian potential, Journ. Funct. Anal. 131 (1995), 54-77 | Zbl | MR
[24] - Annealed Lyapunov exponents and large deviations in a poissonian potential I,II, Ann. Scient. Éc. Norm. Sup. 28 (1995a,b), 345-370, 371-390. | Numdam | Zbl | MR
[25] - Distance fluctuations and Lyapunov exponents, Ann. of Prob. 24 (1996), 1507-1530 | Zbl | MR
[26] - Brownian Motion, Obstacles and Random Media, Springer Monographs in Mathemathics, Springer-Verlag Berlin, Heidelberg, New York (1998). | Zbl | MR
[27] - Scaling identity for crossing Brownian Motion in a poissonian potential (1998), to appear in Prob. Theory and Rel. Fields. | Zbl | MR
[28] - Geodesics and crossing Brownian motion in a soft poissonian potential (1998a), to appear in Ann. Inst. H. Poincaré. | Numdam | Zbl | MR
[29] -Lyapunov exponents and quenched large deviation for multidimensional random walk in a random environment (1997), to appear in Ann. of Prob. | Zbl | MR







