On Normalized Multiplicative Cascades under Strong Disorder [PDF]
Electronic Communications in Probability, 2015 Multiplicative cascades, under weak or strong disorder, refer to sequences of positive random measures $\mu_{n,\beta}, n = 1,2,\dots$, parameterized by a positive disorder parameter $\beta$, and defined on the Borel $\sigma$-field ${\mathcal B}$ of ...
Dey, Partha S., Waymire, Edward
core +6 more sources
Accounting for precipitation asymmetry in a multiplicative random cascade disaggregation model [PDF]
Hydrology and Earth System Sciences, 2023 Analytical multiplicative random cascades (MRCs) are widely used for the temporal disaggregation of coarse-resolution precipitation time series. This class of models applies scaling models to represent the dependence of the cascade generator on the ...
K. Maloku, B. Hingray, G. Evin
doaj +3 more sources
Diffusions of Multiplicative Cascades [PDF]
Stochastic Processes and their Applications, 2013 A multiplicative cascade can be thought of as a randomization of a measure on the boundary of a tree, constructed from an iid collection of random variables attached to the tree vertices.
Alberts, Tom, Rifkind, Ben
core +4 more sources
KPZ in one dimensional random geometry of multiplicative cascades [PDF]
, 2008 We prove a formula relating the Hausdorff dimension of a subset of the unit interval and the Hausdorff dimension of the same set with respect to a random path matric on the interval, which is generated using a multiplicative cascade.
A.M. Polyakov +8 more
core +2 more sources
A new discrete multiplicative random cascade model for downscaling intermittent rainfall fields [PDF]
Hydrology and Earth System Sciences, 2020 Spatial downscaling of rainfall fields is a challenging mathematical problem for which many different types of methods have been proposed. One popular solution consists of redistributing rainfall amounts over smaller and smaller scales by means of a ...
M. Schleiss
doaj +2 more sources
The hierarchical packing of euchromatin domains can be described as multiplicative cascades.
PLoS Computational Biology, 2021 The genome is packed into the cell nucleus in the form of chromatin. Biochemical approaches have revealed that chromatin is packed within domains, which group into larger domains, and so forth.
Amra Noa +4 more
doaj +2 more sources
Bindweeds or random walks in random environments on multiplexed trees and their asympotics [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 We report on the asymptotic behaviour of a new model of random walk, we term the bindweed model, evolving in a random environment on an infinite multiplexed tree.The term multiplexed means that the model can be viewed as a nearest neighbours random walk ...
Mikhail Menshikov +2 more
doaj +5 more sources
Analytic multivariate generating function for random multiplicative cascade processes [PDF]
, 1998 We have found an analytic expression for the multivariate generating function governing all n-point statistics of random multiplicative cascade processes.
Eggers, Hans C. +2 more
core +2 more sources
Circulation pattern based parameterization of a multiplicative random cascade for disaggregation of observed and projected daily rainfall time series [PDF]
Hydrology and Earth System Sciences, 2013 The use of multiplicative random cascades (MRCs) for temporal rainfall disaggregation has been extensively studied in the past. MRCs are appealing for rainfall disaggregation due to their formal simplicity and the possibility to extract the model ...
D. Lisniak, J. Franke, C. Bernhofer
doaj +3 more sources
Convergence of complex multiplicative cascades [PDF]
The Annals of Applied Probability, 2010 Published in at http://dx.doi.org/10.1214/09-AAP665 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Julien Barral +2 more
openalex +7 more sources