CORDIS Project
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This proposal tackles complex problems at the intersection of probability theory and differential equations, focusing on stochastic homogenization. It aims to develop quantitative methods to address multi-scale challenges and improve understanding of mathematical properties relevant to various applications.
The proposal addresses various multiscale problems which lie at the intersection of probability theory and the analysis of partial differential equations and calculus of variations.
Most of the proposed problems fit under the framework of stochastic homogenization, that is, the study of large-scale statistical properties of solutions to equations with random coefficients.
In the last ten years, there has been significant progress made in developing a quantitative theory of stochastic homogenizat…
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