In this talk, I will present an information geometric analysis of probability normalization, marginalization, and maximum entropy inference. Normalization and marginalization of probability measures ...

Have you ever noticed how sometimes what seems logical turns out to be proved false with a little math? For instance ... share the same birthday? Due to probability, sometimes an event is more ...

Over the decades, he and other experts had been attacking the GCI with increasingly sophisticated mathematical methods, certain that bold new ideas in convex geometry, probability theory or ...

Synopsis. The last several years have witnessed a significant intensification of the connections between probability (e.g., random walks and percolation) and ergodic theory, especially in treating ...

For instance, Okounkov has used ideas from geometry and probability to characterize random shapes, such as the ones that form as tiny blocks melt off the corners of a cubical crystal. Okounkov ...

algebra and differential geometry. “Probability was just applied mathematics,” Dr. Labourie said. But Dr. Furstenberg and Dr. Margulis found ways to show how methods of probability could solve ...