Regular biography
Juhan Aru is an Associate Professor at École Polytechnique Fédérale de Lausanne (EPFL), affiliated with the Department of Mathematics (MATH). His research interests include random geometry, Gaussian processes, and lattice gauge theories. He teaches courses such as Probability, Analysis IV, and Introduction to Random Geometry. Aru is also involved in doctoral programs and teaching initiatives at EPFL. His contact information is juhan.aru@epfl.ch, and his profile can be accessed at https://people.epfl.ch/juhan.aru?lang=en.
Scholar-generated biography
Juhan Aru is a mathematician specializing in probability theory, with a focus on stochastic processes and their applications. His research explores complex systems through the lens of Gaussian free field (GFF), including its connections to conformal geometry, Liouville quantum gravity, and Schramm–Loewner evolution (SLE). Aru investigates properties of random fields, such as first passage sets, excursion decompositions, and multiplicative chaos, often linking these to critical phenomena in statistical physics. His work also touches on topics like percolation, conformal radius, and extremal distance, contributing to the understanding of random geometry and its interactions with analytic structures. Aru's research bridges theoretical probability with applications in mathematical physics and stochastic analysis.