Integral geometry and valuation theory form a dynamic field at the intersection of geometric analysis and algebraic topology. This discipline addresses the study of measures – known as valuations – ...

This is a preview. Log in through your library . Abstract Given two nonsingular projective algebraic varieties $X, Y \subset P^n$ meeting transversely, it is ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

Journal of Applied Probability, Vol. 37, No. 2 (Jun., 2000), pp. 480-493 (14 pages) We study strong asymptotic properties of two types of integral functionals of geometric stochastic processes. These ...

François Monard, assistant professor of mathematics, has received a Faculty Early Career Development (CAREER) Award from the National Science Foundation (NSF) to support his work on theoretical and ...

Mathematics offers an astonishing bridge between the infinitely small world of particles and the cosmic immensity. Researchers are exploring how abstract geometric shapes can describe both collisions ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...