Scaling limit of the odometer in divisible sandpiles
In a recent work Levine et al.(Ann Henri Poincaré 17: 1677–1711, 2016. https://doi.
org/10.1007/s00023-015-0433-x) prove that the odometer function of a divisible sandpile …
org/10.1007/s00023-015-0433-x) prove that the odometer function of a divisible sandpile …
moments suffice to characterise the GFF
We show that there is “no stable free field of index α∈(1, 2)”, in the following sense. It was
proved in [4] that subject to a fourth moment assumption, any random generalised function …
proved in [4] that subject to a fourth moment assumption, any random generalised function …
Scaling limits in divisible sandpiles: a Fourier multiplier approach
A Cipriani, J de Graaff, WM Ruszel - Journal of Theoretical Probability, 2020 - Springer
In this paper we investigate scaling limits of the odometer in divisible sandpiles on d-
dimensional tori following up the works of Chiarini et al.(Odometer of long-range sandpiles …
dimensional tori following up the works of Chiarini et al.(Odometer of long-range sandpiles …
Odometers of Divisible Sandpile Models: Scaling Limits, iDLA and Obstacle Problems. A Survey
WM Ruszel - arXiv preprint arXiv:1903.06263, 2019 - arxiv.org
The divisible sandpile model is a fixed-energy continuous counterpart of the Abelian
sandpile model. We start with a random initial configuration and redistribute mass …
sandpile model. We start with a random initial configuration and redistribute mass …
[PDF][PDF] Phase Transitions and Near-Critical Phenomena in the Abelian Sandpile Model
RK McDermott - 2021 - ecommons.cornell.edu
In chapter 2 we investigate the behavior around the fixed-energy sandpile's phase transition
as conjectured in [9]. In the course of our investigations we define a supercritical threshold …
as conjectured in [9]. In the course of our investigations we define a supercritical threshold …
[PDF][PDF] The Convergence Speed of Sub-critical Divisible Sandpiles (Nederlandse titel: De Convergeer Snelheid van Sub-critieke Divisible Sandpiles)
TJM Schuttenbeld - 2021 - repository.tudelft.nl
The Convergence Speed of Sub-critical Divisible Sandpiles (Nederlandse titel: De
Convergeer Snelheid van Sub-critieke Divisible Page 1 Technische Universiteit Delft …
Convergeer Snelheid van Sub-critieke Divisible Page 1 Technische Universiteit Delft …
-moments suffice to characterise the GFF
We show that there is" no stable free field of index $\alpha\in (1, 2) $", in the following sense.
It was proved in a previous work by the authors, that subject to a\emph {fourth moment …
It was proved in a previous work by the authors, that subject to a\emph {fourth moment …