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20052026
most citedNovel Multidimensional Models of Opinion Dynamics in Social Networks

409 citations

Showing 2017Show all

6 papers · 1 filter

math-ph2017★ 24 cited

An example of interplay between Physics and Mathematics: Exact resolution of a new class of Riccati Equations

L. A. Markovich, R. Grimaudo, A. Messina +1

A novel recipe for exactly solving in finite terms a class of special differential Riccati equations is reported. Our procedure is entirely based on a successful resolution strateg…

cs.MA2017★ 4 cited

On Optimal Group Claims at Voting in a Stochastic Environment

V. A. Malyshev, P. Yu. Chebotarev

There is a paradox in the model of social dynamics determined by voting in a stochastic environment (the ViSE model) called "pit of losses." It consists in the fact that a series o…

quant-ph2017★ 1 cited

Separability and entanglement in the Hilbert space reference frames related through the generic unitary transform for four level system

V. I. Man'ko, L. A. Markovich

Quantum correlations in the state of four-level atom are investigated by using generic unitary transforms of the classical (diagonal) density matrix. Partial cases of pure state, $…

math.CO2017

Maximizing Wiener Index for Trees with Given Vertex Weight and Degree Sequences

Mikhail Goubko

The Wiener index is maximized over the set of trees with the given vertex weight and degree sequences. This model covers the traditional "unweighed" Wiener index, the terminal Wien…

math.OC2017

Improved Spectral Clustering for Multi-Objective Controlled Islanding of Power Grid

Mikhail Goubko, Vasily Ginz

We propose a two-step algorithm for optimal controlled islanding that partitions a power grid into islands of limited volume while optimizing several criteria: high generator coher…

cs.LG2017★ 8 cited

Bayesian Learning of Consumer Preferences for Residential Demand Response

Mikhail V. Goubko, Sergey O. Kuznetsov, Alexey A. Neznanov +1

In coming years residential consumers will face real-time electricity tariffs with energy prices varying day to day, and effective energy saving will require automation - a recomme…