167 citations · 539 across the 32 of their papers we have counts for
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Paracontrolled distributions and singular PDEs
Massimiliano Gubinelli, Peter Imkeller, Nicolas Perkowski
We introduce an approach to study certain singular PDEs which is based on techniques from paradifferential calculus and on ideas from the theory of controlled rough paths. We illus…
Particle filtering in high-dimensional chaotic systems
Nishanth Lingala, N. Sri Namachchivaya, Nicolas Perkowski +1
We present an efficient particle filtering algorithm for multiscale systems, that is adapted for simple atmospheric dynamics models which are inherently chaotic. Particle filters r…
Large deviations for Hilbert space valued Wiener processes: a sequence space approach
Andreas Andresen, Peter Imkeller, Nicolas Perkowski
Ciesielski's isomorphism between the space of alpha-Hölder continuous functions and the space of bounded sequences is used to give an alternative proof of the large deviation princ…
Conditioned Martingales
Nicolas Perkowski, Johannes Ruf
It is well known that upward conditioned Brownian motion is a three-dimensional Bessel process, and that a downward conditioned Bessel process is a Brownian motion. We give a simpl…