Arseniy V. Akopyan

Available identifiers

zbMath Open akopyan.arseniy-vWikidataQ93000956 ScholiaQ93000956MaRDI QIDQ418866

List of research outcomes

Publication	Date of Publication	Type
On the total perimeter of disjoint convex bodies	2023-08-30	Paper
When different norms lead to same billiard trajectories?	2022-11-17	Paper
Billiards in ellipses revisited	2022-11-17	Paper
Large deviations of convex hulls of planar random walks and Brownian motions	2022-02-24	Paper
On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs	2021-09-29	Paper
Gromov’s Waist of Non-radial Gaussian Measures and Radial Non-Gaussian Measures	2020-08-21	Paper
Waist of Balls in Hyperbolic and Spherical Spaces	2020-02-24	Paper
Bang's problem and symplectic invariants	2020-01-20	Paper
When different norms lead to same billiard trajectories?	2019-12-29	Paper
The Regge symmetry, confocal conics, and the Schläfli formula	2019-12-11	Paper
Lower and upper bounds for the waists of different spaces	2019-11-15	Paper
Two circles and only a straightedge	2018-11-23	Paper
Long geodesics on convex surfaces	2018-11-19	Paper
Counting Blanks in Polygonal Arrangements	2018-09-07	Paper
On the circle covering theorem by A.W. Goodman and R.E. Goodman	2018-07-13	Paper
On the Lengths of Curves Passing Through Boundary Points of a Planar Convex Shape	2018-07-13	Paper
3-webs generated by confocal conics and circles	2018-06-25	Paper
ANY CYCLIC QUADRILATERAL CAN BE INSCRIBED IN ANY CLOSED CONVEX SMOOTH CURVE	2018-06-05	Paper
On the number of non-hexagons in a planar tiling	2018-05-08	Paper
Convex fair partitions into an arbitrary number of pieces	2018-04-09	Paper
Incircular nets and confocal conics	2018-01-29	Paper
Estimating symplectic capacities from lengths of closed curves on the unit spheres	2017-12-31	Paper
A tight estimate for the waist of the ball	2017-09-13	Paper
Algebraic vertices of non-convex polyhedra	2017-02-03	Paper
Billiards in convex bodies with acute angles	2017-01-11	Paper
Elementary approach to closed billiard trajectories in asymmetric normed spaces	2016-08-26	Paper
On maximum volume simplices in polytopes	2016-01-08	Paper
Geometry of the Cardioid	2015-11-04	Paper
Invariant measures of genetic recombination processes	2015-08-10	Paper
Minimal Resistance of Curves under the Single Impact Assumption	2015-07-20	Paper
Bounding minimal solid angles of polytopes	2015-05-20	Paper
The lemniscate of Bernoulli, without formulas	2015-04-23	Paper
Some remarks on the circumcenter of mass	2014-09-12	Paper
Combinatorial generalizations of Jung's theorem	2013-06-07	Paper
Cutting the same fraction of several measures	2013-03-20	Paper
Inscribing a regular octahedron into polytopes	2012-11-22	Paper
Kadets-type theorems for partitions of a convex body	2012-10-15	Paper
Borsuk-Ulam type theorems for metric spaces	2012-09-06	Paper
A short proof of the collapsing walls lemma	2012-05-30	Paper
On the Number of Points in a Lattice Polytope	2011-11-15	Paper
A constructive proof of Kirszbraun's theorem	2011-08-20	Paper
On some classical constructions extended to hyperbolic geometry	2011-05-11	Paper
The extremal spheres theorem	2011-01-07	Paper
Intersection of parallelepipeds in \(\mathbb R^d\)	2008-10-16	Paper
Geometry of Conics	2007-12-12	Paper

Research outcomes over time

Doctoral students

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Known relations from the MaRDI Knowledge Graph

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MaRDI profile type	MaRDI person profile
instance of	human

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