219 citations · 1.1k across the 41 of their papers we have counts for
8 papers · 1 filter
Mean-Field Theories for Depinning and their Experimental Signatures
Cathelijne ter Burg, Kay Joerg Wiese
Mean-field theory is an approximation replacing an extended system by a few variables. For depinning of elastic manifolds, these are the position of its center of mass , and the…
Sampling first-passage times of fractional Brownian Motion using adaptive bisections
Benjamin Walter, Kay Joerg Wiese
We present an algorithm to efficiently sample first-passage times for fractional Brownian motion. To increase the resolution, an initial coarse lattice is successively refined clos…
Fractal dimension of critical curves in the -symmetric -model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models
Mikhail Kompaniets, Kay Joerg Wiese
We calculate the fractal dimension of critical curves in the symmetric -theory in dimensions at 6-loop order. This gives the frac…
Span observables - "When is a foraging rabbit no longer hungry?"
Kay Joerg Wiese
Be a random walk. We study its span , i.e. the size of the domain visited up to time . We want to know the probability that reaches for the first time, as well…
Field Theories for Loop-Erased Random Walks
Kay Joerg Wiese, Andrei A. Fedorenko
Self-avoiding walks (SAWs) and loop-erased random walks (LERWs) are two ensembles of random paths with numerous applications in mathematics, statistical physics and quantum field t…
Instanton calculus for the self-avoiding manifold model
François David, Kay J. Wiese
We compute the normalisation factor for the large order asymptotics of perturbation theory for the self-avoiding manifold (SAM) model describing flexible tethered (D-dimensional) m…