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15 papers · 1 filter
Iterated random walk
L. Turban
The iterated random walk is a random process in which a random walker moves on a one-dimensional random walk which is itself taking place on a one-dimensional random walk, and so o…
Local limit of labeled trees and expected volume growth in a random quadrangulation
Philippe Chassaing, Bergfinnur Durhuus
Exploiting a bijective correspondence between planar quadrangulations and well-labeled trees, we define an ensemble of infinite surfaces as a limit of uniformly distributed ensembl…
Scaling of the linear response in simple ageing systems without disorder
Malte Henkel, Matthias Paessens, Michel Pleimling
The time-dependent scaling of the thermoremanent and zero-field-cooled susceptiblities in ferromagnetic spin systems undergoing ageing after a quench to a temperature at or below c…
The center of mass of the ISE and the Wiener index of trees
Svante Janson, Philippe Chassaing
We derive the distribution of the center of mass of the integrated superBrownian excursion (ISE) {from} the asymptotic distribution of the Wiener index for simple trees. Equiva…
Harmonic maps and representations of non-uniform lattices of PU(m,1)
Vincent Koziarz, Julien Maubon
We study representations of lattices of PU(m,1) into PU(n,1). We show that if a representation is reductive and if m is at least 2, then there exists a finite energy harmonic equiv…
Dynamical space-time symmetry for ageing far from equilibrium
Malte Henkel
The dynamical scaling of ageing ferromagnetic systems can be generalized to a local scale invariance. This yields a prediction for the causal two-time response function, which has…