TY - JOUR
T1 - Quantitative stochastic homogenization for random conductance models with stable-like jumps
AU - Chen, Xin
AU - Chen, Zhen Qing
AU - Kumagai, Takashi
AU - Wang, Jian
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.
PY - 2025/2
Y1 - 2025/2
N2 - We consider random conductance models with long range jumps on Zd, where the one-step transition probability from x to y is proportional to wx,y|x-y|-d-α with α∈(0,2). Assume that {wx,y}(x,y)∈E are independent, identically distributed and uniformly bounded non-negative random variables with Ewx,y=1, where E is the set of all unordered pairs on Zd. We obtain a quantitative version of stochastic homogenization for these random walks, with explicit polynomial rates up to logarithmic corrections.
AB - We consider random conductance models with long range jumps on Zd, where the one-step transition probability from x to y is proportional to wx,y|x-y|-d-α with α∈(0,2). Assume that {wx,y}(x,y)∈E are independent, identically distributed and uniformly bounded non-negative random variables with Ewx,y=1, where E is the set of all unordered pairs on Zd. We obtain a quantitative version of stochastic homogenization for these random walks, with explicit polynomial rates up to logarithmic corrections.
KW - Long range jumps
KW - Random conductance model
KW - Stochastic homogenization
KW - α-Stable-like process
UR - http://www.scopus.com/inward/record.url?scp=85213540671&partnerID=8YFLogxK
U2 - 10.1007/s00440-024-01354-5
DO - 10.1007/s00440-024-01354-5
M3 - Article
AN - SCOPUS:85213540671
SN - 0178-8051
VL - 191
SP - 627
EP - 669
JO - Probability Theory and Related Fields
JF - Probability Theory and Related Fields
IS - 1
ER -