output
20082026
most citedLarge Language Models (LLMs) as Agents for Augmented Democracy

394 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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6 papers · 1 filter

math.MG2023★ 2 cited

Isometric rigidity of Wasserstein spaces over Euclidean spheres

György Pál Gehér, Aranka Hrušková, Tamás Titkos +1

We study the structure of isometries of the quadratic Wasserstein space over the sphere endowed with the distance inherited from…

math.MG2023

Isometric rigidity of the Wasserstein space over Carnot groups

Zoltán M. Balogh, Tamás Titkos, Dániel Virosztek

This paper aims to study isometries of the -Wasserstein space over Carnot groups endowed with horizontally strictly convex norms. Well-known examples…

math.MG2023★ 4 cited

Isometries and isometric embeddings of Wasserstein spaces over the Heisenberg group

Zoltán M. Balogh, Tamás Titkos, Dániel Virosztek

Our purpose in this paper is to study isometries and isometric embeddings of the -Wasserstein space over the Heisenberg group for al…

math.MG2021★ 6 cited

Mono-monostatic polyhedra with uniform point masses have at least 8 vertices

Sándor Bozóki, Gábor Domokos, Flórián Kovács +1

The monostatic property of convex polyhedra (i.e. the property of having just one stable or unstable static equilibrium point) has been in the focus of research ever since Conway a…

math.MG2019

Eccentric pie charts and an unusual pie cutting

Sándor Bozóki

The eccentric pie chart, a generalization of the traditional pie chart is introduced. An arbitrary point is fixed within the circle and rays are drawn from it. A sector is bounded…

math.MG2013★ 7 cited

Seven mutually touching infinite cylinders

Sándor Bozóki, Tsung-Lin Lee, Lajos Rónyai

We solve a problem of Littlewood: there exist seven infinite circular cylinders of unit radius which mutually touch each other. In fact, we exhibit two such sets of cylinders. Our…