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Publications Influence

On the geometry of Riemannian manifolds with density

- W. Wylie, Dmytro Yeroshkin
- Mathematics
- 25 February 2016

We introduce a new geometric approach to a manifold equipped with a smooth density function that takes a torsion-free affine connection, as opposed to a weighted measure or Laplacian, as the… Expand

14 4- PDF

Riemannian Orbifolds with Non-Negative Curvature

- Dmytro Yeroshkin
- Mathematics
- 2014

RIEMANNIAN ORBIFOLDS WITH NON-NEGATIVE CURVATURE Dmytro Yeroshkin Wolfgang Ziller Recent years have seen an increase in the study of orbifolds in connection to Riemannian geometry. We connect this… Expand

11 2- PDF

Connectedness of two-sided group digraphs and graphs

- Patreck Chikwanda, C. Kriloff, Yun Teck Lee, Taylor Sandow, G. Smith, Dmytro Yeroshkin
- Mathematics
- 16 May 2017

Two-sided group digraphs and graphs, introduced by Iradmusa and Praeger, provide a generalization of Cayley digraphs and graphs in which arcs are determined by left and right multiplying by elements… Expand

1- PDF

Connectedness of two-sided group digraphs

- Patreck Chikwanda, C. Kriloff, Yun Teck Lee, Taylor Sandow, G. Smith, Dmytro Yeroshkin
- Mathematics
- 16 May 2017

The Weighted Connection and Sectional Curvature for Manifolds With Density

- L. Kennard, W. Wylie, Dmytro Yeroshkin
- Mathematics
- 17 July 2017

In this paper we study sectional curvature bounds for Riemannian manifolds with density from the perspective of a weighted torsion-free connection introduced recently by the last two authors. We… Expand

5- PDF

On a Certain Cooperative Hat Game

- J. Kariv, Dmytro Yeroshkin
- Mathematics, Computer Science
- ArXiv
- 17 July 2014

TLDR

New Results in Exponential Families

- Dmytro Yeroshkin
- 2009

We start this paper by giving a short crash course in generating functions, including a new result that can be used to simplify certain operations. Then, in sections 2 and 3 we introduce H.S.Wilf’s… Expand

On Geometry and Topology of 4-Orbifolds

- Dmytro Yeroshkin
- Mathematics
- 6 November 2014

We prove an analogue of the result of Hsiang and Kleiner for 4-dimensional compact orbifolds with positive curvature and an isometric circle action. Additionally, we prove that when the underlying… Expand

1- PDF

Holonomy of Manifolds with Density

- Dmytro Yeroshkin
- Mathematics
- 18 September 2020

In this paper we discuss some examples and general properties of holonomy groups of $\nabla^\varphi$ introduced by Wylie and the author, the connection corresponding to the $N=1$ Bakry-\'Emery Ricci… Expand

Computing optimal strategies for a cooperative hat game

- J. Kariv, C. Alten, Dmytro Yeroshkin
- Mathematics
- 17 July 2014

We consider a `hat problem' in which each player has a randomly placed stack of black and white hats on their heads, visible to the other player, but not the wearer. Each player must guess a hat… Expand