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10 papers · 1 filter
Conformism-driven phases of opinion formation on heterogeneous networks: the q-voter model case
Marco Alberto Javarone, Tiziano Squartini
The q-voter model, a variant of the classic voter model, has been analyzed by several authors: while allowing to study opinion dynamics, this model is also believed to be one of th…
On dipolar quantum gases in the unstable regime
Jacopo Bellazzini, Louis Jeanjean
We study the nonlinear Schrödinger equation arising in dipolar Bose-Einstein condensate in the unstable regime. Two cases are studied: the first when the system is free, the second…
Sharp lower bounds for Coulomb energy
Jacopo Bellazzini, Marco Ghimenti, Tohru Ozawa
We prove lower bounds for Coulomb energy for radially symmetric functions in with . In case we show that the lo…
On a general SU(3) Toda System
Francesca Gladiali, Massimo Grossi, Jun-cheng Wei
We study the following generalized Toda System $$ \left\{\begin{array}{ll} -Δu=2e^u+μe^v & \hbox{ in }\R^2\\ -Δv=2e^v+μe^u & \hbox{ in }\R^2\\ \int_{\R^2}e^u<+\infty,\ \int…
Specializations and Generalizations of the Stackelberg Minimum Spanning Tree Game
Davide Bilò, Luciano Gualà, Stefano Leucci +1
Let be given a graph whose edge set is partitioned into a set of \emph{red} edges and a set of \emph{blue} edges, and assume that red edges are weighted and form…
The Max-Distance Network Creation Game on General Host Graphs
Davide Bilò, Luciano Gualà, Stefano Leucci +1
In this paper we study a generalization of the classic \emph{network creation game} in the scenario in which the players sit on a given arbitrary \emph{host graph}, which const…