The heat flow on metric random walk spaces (Q2287244)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The heat flow on metric random walk spaces |
scientific article |
Statements
The heat flow on metric random walk spaces (English)
0 references
20 January 2020
0 references
On a suitable symmetric random walk space, the authors provide Cheeger's inequality and the equivalence between Poincaré's inequality and an isoperimetric inequality. Also, the authors state that the positivity of the Bakry-Émery curvature-dimension condition implies a Transport-Information Inequality (TII) and that TII implies a transport-entropy inequality and normal concentration.
0 references
random walks
0 references
nonlocal operators
0 references
Cheeger inequality
0 references
Ollivier-Ricci curvature
0 references
Bakry-Émery curvature-dimension condition
0 references
transport inequalities
0 references
0 references
0 references
0 references
0 references
