113 citations · 784 across the 39 of their papers we have counts for
44 papers
Laminar gaps mirror turbulent puffs in pipe flow
Shai Kapon, Tobias Grafke, Anna Frishman
Pipe flow at intermediate Reynolds numbers, between the laminar and fully turbulent regimes, takes the form of several spatially and temporally intermittent phases in which turbule…
Escape over a saddle by coloured noise: theory and numerics
Jiayao Shao, Tobias Grafke, Robert S. MacKay
Stochastic dynamical systems allow modelling of transitions induced by random disturbances, in particular from an attracting equilibrium and crossing the stable manifold of a saddl…
Sampling conditioned diffusions via Pathspace Projected Monte Carlo
Tobias Grafke
We present an algorithm to sample stochastic differential equations conditioned on rather general constraints, including integral constraints, endpoint constraints, and stochastic…
Self-Replication of Turbulent Puffs: On the edge between chaotic saddles
Anton Svirsky, Tobias Grafke, Anna Frishman
Pipe flow is a canonical example where turbulence first appears intermittently in space and time, taking the form of localized structures termed puffs. Turbulence spreads via puff…
Physics of an AMOC Overshoot in a Box Model
Jelle Soons, Tobias Grafke, René M. van Westen +1
Recently the global average temperature has temporarily exceeded the 1.5°C goal of the Paris Agreement, and so an overshoot of various climate tipping elements becomes increasingly…
Scalability of the second-order reliability method for stochastic differential equations with multiplicative noise
Timo Schorlepp, Tobias Grafke
We show how to efficiently compute asymptotically sharp estimates of extreme event probabilities in stochastic differential equations (SDEs) with small multiplicative Brownian nois…