On the Geometry of Diffusion Operators and Stochastic Flows

By K. Elworthy, Yves Le Jan, Xue-Mei Li. 2000

131 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/d62d606d558e6676567f00fdaec258f01f0ecdb5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Y. LeJan
2. Xue-Mei Li
3. K. Elworthy
4. Liming Wu

In Mathematical Physics

1. Y. LeJan
2. Xue-Mei Li
3. K. Elworthy
4. Liming Wu
5. Arnaud Guillin
6. Feng-Yu Wang
7. Patrick Cattiaux
8. D. Bakry

In Modeling and Simulation

1. Y. LeJan
2. Xue-Mei Li
3. K. Elworthy

Citations in the corpus

• The Geometry of Filtering (2008, methodology): “T he zero-order operators induced on differential forms as mentioned above turn o t to be generalised Weitzenböck curvature operators,in the sense of [27], red ucing to the classical ones whenM is Riemannian for particular choices of stochastic differe ntial equations for Brownian motion onM .”
• A new modified logarithmic Sobolev inequality for Poisson point processes and several applications (2000, background): “Li [ ELL , 1998] for hypoelliptic diffusions, [AL, 1998] (cited previously) for Poisson point processes..., and the references therein.”