DATE2023-03-30 16:10-17:00

PLACE數學系館 1F3174教室

SPEAKER陳隆奇 教授(國立政治大學應用數學系

TITLEThe Mean-Field Behavior for The Nearest-Neighbor Percolation and Oriented Percolation

ABSTRACT In this talk, we consider nearest-neighbor percolation and oriented percolation with independent Bernoulli bond-occupation probability on the $d$-dimensional lattice. We present that the two-point function obeys an infrared bound which implies that various critical exponents take on their respective mean-field values above the upper-critical dimension $d_c$.