2 citations · 5 across the 7 of their papers we have counts for
10 papers
The Schelling model on
Maria Deijfen, Timo Hirscher
A version of the Schelling model on is defined, where two types of agents are allocated on the sites. An agent prefers to be surrounded by other agents of its own type…
Strictly weak consensus in the uniform compass model on
Nina Gantert, Markus Heydenreich, Timo Hirscher
We investigate a model for opinion dynamics, where individuals (modeled by vertices of a graph) hold certain abstract opinions. As time progresses, neighboring individuals interact…
Competing frogs on
Maria Deijfen, Timo Hirscher, Fabio Lopes
A two-type version of the frog model on is formulated, where active type particles move according to lazy random walks with probability of jumping in each…
Water transport on infinite graphs
Olle Häggström, Timo Hirscher
If the nodes of a graph are considered to be identical barrels - featuring different water levels - and the edges to be (locked) water-filled pipes in between the barrels, consider…
Overly determined agents prevent consensus in a generalized Deffuant model on with dispersed opinions
Timo Hirscher
During the last decades, quite a number of interacting particle systems have been introduced and studied in the border area of mathematics and statistical physics. Some of these ca…
Segregating Markov chains
Timo Hirscher, Anders Martinsson
Dealing with finite Markov chains in discrete time, the focus often lies on convergence behavior and one tries to make different copies of the chain meet as fast as possible and th…
Water transport on graphs
Olle Häggström, Timo Hirscher
If the nodes of a graph are considered to be identical barrels - featuring different water levels - and the edges to be (locked) water-filled pipes in between the barrels, one migh…
The Deffuant model on with higher-dimensional opinion spaces
Timo Hirscher
When it comes to the mathematical modelling of social interaction patterns, a number of different models have emerged and been studied over the last decade, in which individuals ra…
Further results on consensus formation in the Deffuant model
Olle Häggström, Timo Hirscher
The so-called Deffuant model describes a pattern for social interaction, in which two neighboring individuals randomly meet and share their opinions on a certain topic, if their di…
Integer matrices that are not copositive have certificates of less than quadratic complexity
Timo Hirscher
A real symmetric n times n matrix is called copositive if the corresponding quadratic form is non-negative on the closed first orthant. If the matrix fails to be copositive there e…