New answers tagged harmonic-functions
8
votes
Accepted
Ergodicity of action of finite index subgroups in the boundary
Let $X$ be a Riemann surface of class $P_G$ (i.e. which carries a Green function) but is Liouville (i.e. admits no nonconstant bounded harmonic functions). One way to construct these is to take a $\...
Top 50 recent answers are included
Related Tags
harmonic-functions × 211ap.analysis-of-pdes × 64
harmonic-analysis × 43
riemannian-geometry × 33
elliptic-pde × 32
dg.differential-geometry × 23
fa.functional-analysis × 22
reference-request × 21
cv.complex-variables × 21
real-analysis × 17
potential-theory × 13
ca.classical-analysis-and-odes × 9
differential-equations × 8
sobolev-spaces × 7
geometric-analysis × 7
graph-theory × 6
geometric-group-theory × 6
laplacian × 6
regularity × 6
lie-groups × 5
stochastic-processes × 5
fourier-analysis × 5
differential-operators × 5
random-walks × 5
linear-pde × 5