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Strong Spherical Asymptotics for Rotor-Router Aggregation and the Divisible Sandpile
Strong Spherical Asymptotics Rotor-Router Aggregation Divisible Sandpile
2015/8/14
The rotor-router model is a deterministic analogue of random walk.It can be used to define a deterministic growth model analogous to internal DLA. We prove that the asymptotic shape of this model is a...
Scaling Limits for Internal Aggregation Models with Multiple Sources
Scaling Limits Internal Aggregation Models Multiple Sources
2015/8/14
We study the scaling limits of three different aggregation models on Zd: internal DLA, in which particles perform random walks until reaching an unoccupied site; the rotor-router model, in which parti...
DIAMOND AGGREGATION
DIAMOND AGGREGATION
2015/8/14
Internal diffusion-limited aggregation is a growth model based on random walk in Zd. We study how the shape of the aggregate depends on the law of the underlying walk, focusing on a family of walks in...
ROTOR-ROUTER AGGREGATION ON THE LAYERED SQUARE LATTICE
ROTOR-ROUTER AGGREGATION LAYERED SQUARE LATTICE
2015/8/14
In rotor-router aggregation on the square lattice Z2, particles starting at the origin perform deterministic analogues of random walks until reaching an unoccupied site. The limiting shape of the clus...
Oil and water:a two-type internal aggregation model
Oil and water internal aggregation model
2015/8/14
We introduce a two-type internal DLA model which is an example of a non-unary abelian network. Starting with n “oil” and n “water” particles at the origin, the particles diffuse in Z according to the ...
We study the scaling limits of three different aggregation models on Zd: internal DLA, in which particles perform random walks until reaching an unoccupied site; the rotor-router model, in which parti...
Anisotropic interactions in a first-order aggregation model:a proof of concept
Anisotropy visual perception aggregation models implicit equations regularization relaxation time uniqueness criteria singular perturbation
2015/7/14
We extend a well-studied ODE model for collective behaviour by considering anisotropic interactions among individuals. Anisotropy is modeled by limited sensorial perception of individuals, that depend...
Minimum Latency Aggregation Scheduling for Arbitrary Tree Topologies under the SINR Model
Minimum Latency Tree undeer Topologies SINR Model
2012/12/4
Almost all the existing wireless data aggregation approaches；need a topology construction step before scheduling. These solutions assume the availability of flexible topology controls. However, in rea...
Deterministic Distributed Data Aggregation under the SINR Model
SINR interference model, data aggregation, physical carriersensing.
2012/12/3
Given a set of nodes V, where each node has some data value,the goal of data aggregation is to compute some aggregate function in the fewest timeslots possible. Aggregate functions compute the aggrega...
On distance distribution functions-valued submeasures related to aggregation functions
submeasure distribution function probabilistic metric space triangular norm aggregation function semi-copula lattice
2011/9/13
Abstract: Probabilistic submeasures generalizing the classical (numerical) submeasures are introduced and discussed in connection with some classes of aggregation functions. A special attention is pai...
Preference aggregation theory without acyclicity: The core without majority dissatisfaction
Core Nakamura number kappa number simple games voting games maximal elements acyclic preferences limit ordinals
2011/9/29
Abstract: Acyclicity of individual preferences is a minimal assumption in social choice theory. We replace that assumption by the direct assumption that preferences have maximal elements on a fixed ag...
PAC-Bayesian aggregation and multi-armed bandits
PAC-Bayesian aggregation multi-armed bandits
2010/11/22
This habilitation thesis presents several contributions to (1) the PAC-Bayesian analysis of statistical learning, (2) the three aggregation problems: given d functions, how to predict as well as (i) ...
Efficient Information Aggregation Strategies for Distributed Control and Signal Processing
Efficient Information Aggregation Strategies Distributed Control Signal Processing
2010/12/14
This thesis will be concerned with distributed control and coordination of networks consisting of multiple, potentially mobile, agents. This is motivated mainly by the emergence of large scale network...
Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion
Local Global Well-Posedness Aggregation Equations Patlak-Keller-Segel Models Degenerate Diffusion
2010/12/6
Recently, there has been a wide interest in the study of aggregation equations and Patlak-Keller-Segel (PKS) models for chemotaxis with degenerate diffusion. The focus of this paper is the unification...
Intermediate asymptotics for critical and supercritical aggregation equations and Patlak-Keller-Segel models
critical supercritical aggregation equations Patlak-Keller-Segel models
2010/12/15
We examine the long-term asymptotic behavior of dissipating solutions to aggregation equations
and Patlak-Keller-Segel models with degenerate power-law and linear diffusion. The purpose
of this work...