New answers tagged green-function
6
votes
Green's kernel estimates on finitely generated groups
Symmetric random walks on finitely generated groups of growth at most quadratic are recurrent, therefore the Green kernel
$$ \Theta(x)=\sum_{n\ge 0}p^{(n)}(x)$$
is infinite for all $x$. (The right-...
Top 50 recent answers are included
Related Tags
green-function × 86ap.analysis-of-pdes × 34
elliptic-pde × 22
reference-request × 15
linear-pde × 10
mp.mathematical-physics × 9
heat-equation × 9
fa.functional-analysis × 8
differential-equations × 8
potential-theory × 7
laplacian × 6
dg.differential-geometry × 5
pr.probability × 5
differential-operators × 5
parabolic-pde × 5
cv.complex-variables × 4
riemann-surfaces × 4
riemannian-geometry × 3
asymptotics × 3
random-walks × 3
quantum-field-theory × 3
schrodinger-operators × 3
laplace-equation × 3
real-analysis × 2
ca.classical-analysis-and-odes × 2