COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Quantitative estimates in stochastic homogenization

## Quantitative estimates in stochastic homogenizationAdd to your list(s) Download to your calendar using vCal - Daniel Marahrens (Max-Planck-Institute, Leipzig)
- Wednesday 13 February 2013, 15:00-16:00
- CMS, MR11.
If you have a question about this talk, please contact Prof. ClĂ©ment Mouhot. Consider a discrete elliptic equation on the integer lattice with random coefficients, arising for example as the steady state of a diffusion through the lattice with random diffusivities. Classical homogenization results show that with ergodic coefficients and on large scales, the solutions behave as the solutions to a diffusion equation with constant homogenized coefficients. The homogenized coefficients can be characterised through the solution to a so-called “corrector problem”. In contrast to periodic homogenization, the stochastic homogenization lacks compactness which makes the problem harder. Recently Gloria, Otto and Neukamm have developed tools to obtain optimal estimates for the homogenization and the corrector problem via a spectral gap inequality. In this talk, I will present how to obtain strong quantitative (optimal) estimates on the discrete Green’s function via a logarithmic Sobolev inequality and consequences from these estimates for the solutions to the discrete equation. This is joint work with Felix Otto. This talk is part of the Geometric Analysis and Partial Differential Equations seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- CMS, MR11
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Geometric Analysis and Partial Differential Equations seminar
- School of Physical Sciences
Note that ex-directory lists are not shown. |
## Other listsJunior Geometry Seminar Mathematics at Work The Kate Pretty Lecture## Other talksMutational processes in the human genome Session questions Sparse Gaussian graphical models for dynamic gene regulatory networks Recent results from the T2K experiment The Castle Howard cabinets and other bicentenary acquisitions Debate: "This house believes that Artificial Intelligence/Robotics will make us happy" |