TY  - THES
AB  - The thesis proves the quenched invariance principle for two models of long-range random conductances on the rectangular lattice of dimension at least 2. The conductances are assumed to be either i.i.d. or ergodic and to decay as a power of the distance, analogous to jumping measures of stable processes. Under certain moment conditions on the distribution, we prove the quenched invariance principle as well as large scale parabolic Harnack inequality.
DA  - 2020
DO  - 10.4119/unibi/2944741
LA  - eng
PY  - 2020
TI  - Models of degenerate random conductances with stable-like jumps
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-29447411
Y2  - 2024-11-22T21:12:26
ER  -