CORDIS Project
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This project aims to expand the understanding of stochastic processes through the lens of geometric structures, particularly focusing on Ricci curvature. It seeks to develop theories applicable to discrete spaces and quantum Markov processes, enhancing the analysis of complex systems.
Many important properties of stochastic processes are deeply connected with the underlying geometric structure.
The crucial quantity in many applications is a lower bound on the Ricci curvature, which yields powerful applications to concentration of measure, isoperimetry, and convergence to equilibrium.Since many important processes are defined in discrete, infinite-dimensional, or singular spaces, major research activity has been devoted to developing a theory of Ricci curvature beyond the clas…
INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
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