Vladyslav Yaskin

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All published works
Action Title Year Authors
+ Two results on the homothety conjecture for convex bodies of flotation on the plane 2025 M. Angeles Alfonseca
Fëdor Nazarov
Dmitry Ryabogin
Alina Stancu
Vladyslav Yaskin
+ Characterizations of balls and ellipsoids by infinitesimal homothetic conditions 2025 M. Angeles Alfonseca
Dmitry Ryabogin
Alina Stancu
Vladyslav Yaskin
+ Answers to questions of Grünbaum and Loewner 2024 Sergii Myroshnychenko
Kateryna Tatarko
Vladyslav Yaskin
+ PDF Chat A generalization of Gr\"unbaum's inequality 2024 Brayden Letwin
Vladyslav Yaskin
+ On a generalization of Busemann's intersection inequality 2024 Vladyslav Yaskin
+ On the Maximal Distance Between the Centers of Mass of a Planar Convex Body and Its Boundary 2024 Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
+ PDF Chat Answers to questions of Gr\"unbaum and Loewner 2024 Sergii Myroshnychenko
Kateryna Tatarko
Vladyslav Yaskin
+ On separably integrable symmetric convex bodies 2024 Vladyslav Yaskin
Bartłomiej Zawalski
+ How far apart can the projection of the centroid of a convex body and the centroid of its projection be? 2023 Sergii Myroshnychenko
Kateryna Tatarko
Vladyslav Yaskin
+ PDF Chat Algebraically integrable bodies and related properties of the Radon transform 2023 Mark Agranovsky
Jan Boman
Alexander Koldobsky
V. A. Vassiliev
Vladyslav Yaskin
+ Analysis and geometry near the unit ball: proofs, counterexamples, and open questions 2023 M. Angeles Alfonseca
Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
+ An analogue of polynomially integrable bodies in even-dimensional spaces 2023 Mark Agranovsky
Alexander Koldobsky
D. Ryabogin
Vladyslav Yaskin
+ On the maximal distance between the centers of mass of a planar convex body and its boundary 2023 Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
+ On separably integrable symmetric convex bodies 2023 Vladyslav Yaskin
Bartłomiej Zawalski
+ An analog of polynomially integrable bodies in even-dimensional spaces 2022 Mark Agranovsky
Alexander Koldobsky
Dmitry Ryabogin
Vladyslav Yaskin
+ Algebraically integrable bodies and related properties of the Radon transform 2022 Mark Agranovsky
Jan Boman
Alexander Koldobsky
V. A. Vassiliev
Vladyslav Yaskin
+ How far apart can the projection of the centroid of a convex body and the centroid of its projection be? 2022 Sergii Myroshnychenko
Kateryna Tatarko
Vladyslav Yaskin
+ PDF Chat A solution to the fifth and the eighth Busemann-Petty problems in a small neighborhood of the Euclidean ball 2021 M. Angeles Alfonseca
Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
+ Unique Determination of Ellipsoids by Their Dual Volumes 2021 Sergii Myroshnychenko
Kateryna Tatarko
Vladyslav Yaskin
+ A solution to the Fifth and the Eighth Busemann-Petty problems in a small neighborhood of the Euclidean ball 2021 M. Angeles Alfonseca
Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
+ A generalization of Winternitz’s theorem and its discrete version 2021 Alexandra Shyntar
Vladyslav Yaskin
+ A solution to the Fifth and the Eighth Busemann-Petty problems in a small neighborhood of the Euclidean ball 2021 M. Angeles Alfonseca
Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
+ Unique determination of ellipsoids by their dual volumes and the moment problem 2020 Sergii Myroshnychenko
Kateryna Tatarko
Vladyslav Yaskin
+ Applications of Gr\"unbaum-type inequalities 2018 Matthew Stephen
Vladyslav Yaskin
+ Applications of Grünbaum-type inequalities 2018 Matthew Stephen
Vladyslav Yaskin
+ PDF Chat Grünbaum‐type inequality for log‐concave functions 2018 Mathieu Meyer
Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
+ PDF Chat An Extension of Polynomial Integrability to Dual Quermassintegrals 2018 Vladyslav Yaskin
+ An extension of polynomial integrability to dual quermassintegrals 2018 Vladyslav Yaskin
+ Busemann's intersection inequality in hyperbolic and spherical spaces 2018 Susanna Dann
Jaegil Kim
Vladyslav Yaskin
+ Applications of Grünbaum-type inequalities 2018 Matthew D. Stephen
Vladyslav Yaskin
+ An extension of polynomial integrability to dual quermassintegrals 2018 Vladyslav Yaskin
+ PDF Chat On polynomially integrable convex bodies 2017 Alexander Koldobsky
Alexander Merkurjev
Vladyslav Yaskin
+ Busemann's intersection inequality in hyperbolic and spherical spaces 2017 Susanna Dann
Jaegil Kim
Vladyslav Yaskin
+ Generalized Grünbaum inequality 2017 M. Meyer
Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
+ PDF Chat Generalized Gr\"unbaum inequality 2017 M. Meyer
Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
+ PDF Chat Non-central sections of convex bodies 2017 Vladyslav Yaskin
Ning Zhang
+ On polynomially integrable convex bodies 2017 Alexander Koldobsky
Alexander Merkurjev
Vladyslav Yaskin
+ On polynomially integrable convex bodies 2017 Alexander Koldobsky
Alexander Merkurjev
Vladyslav Yaskin
+ Busemann's intersection inequality in hyperbolic and spherical spaces 2017 Susanna Dann
Jaegil Kim
Vladyslav Yaskin
+ PDF Chat Distribution functions of sections and projections of convex bodies 2016 Jaegil Kim
Vladyslav Yaskin
Artem Zvavitch
+ Unique Determination of Convex Lattice Sets 2016 Dmitry Ryabogin
Vladyslav Yaskin
Ning Zhang
+ On sections of convex bodies in hyperbolic space 2016 K.L.H. Hiripitiyage
Vladyslav Yaskin
+ Stability results for sections of convex bodies 2015 Matthew Stephen
Vladyslav Yaskin
+ Thick sections of convex bodies 2015 Vladyslav Yaskin
Maryna Yaskina
+ Stability results for sections of convex bodies 2015 Matthew Stephen
Vladyslav Yaskin
+ Non-central sections of convex bodies 2015 Vladyslav Yaskin
Ning Zhang
+ Stability results for sections of convex bodies 2015 Matthew D. Stephen
Vladyslav Yaskin
+ PDF Chat Counterexamples to convexity of $k$-intersection bodies 2014 Vladyslav Yaskin
+ Detecting symmetry in star bodies 2012 Dmitry Ryabogin
Vladyslav Yaskin
+ PDF Chat A Fourier transform approach to Christoffel’s problem 2011 Paul Goodey
Vladyslav Yaskin
Maryna Yaskina
+ The geometry of p-convex intersection bodies 2011 Jaegil Kim
Vladyslav Yaskin
Artem Zvavitch
+ A problem of Klee on inner section functions of convex bodies 2011 Richard J. Gardner
Dmitri Ryabogin
Vladyslav Yaskin
Artem Zvavitch
+ A problem of Klee on inner section functions of convex bodies 2011 Richard J. Gardner
Dmitri Ryabogin
Vladyslav Yaskin
Artem Zvavitch
+ On perimeters of sections of convex polytopes 2010 Vladyslav Yaskin
+ Unique determination of convex polytopes by non-central sections 2010 Vladyslav Yaskin
+ The geometry of p-convex intersection bodies 2010 Jaegil Kim
Vladyslav Yaskin
Artem Zvavitch
+ Fourier transforms and the Funk-Hecke theorem in convex geometry 2009 Paul Goodey
Vladyslav Yaskin
Maryna Yaskina
+ PDF Chat Modified Shephard’s problem on projections of convex bodies 2008 Vladyslav Yaskin
+ On strict inclusions in hierarchies of convex bodies 2008 Vladyslav Yaskin
+ PDF Chat Inequalities of the Kahane–Khinchin type and sections of L<sub>p</sub>-balls 2008 Alexander Koldobsky
Alain Pajor
Vladyslav Yaskin
+ The Busemann-Petty problem 2007 Alexander Koldobsky
Vladyslav Yaskin
+ Hyperplane sections of ℓ_{𝑝}-balls 2007 Alexander Koldobsky
Vladyslav Yaskin
+ PDF Chat On the road between polar projection bodies and intersection bodies 2007 Alexander Koldobsky
Vladyslav Yaskin
+ Intersection bodies and 𝐿_{𝑝}-spaces 2007 Alexander Koldobsky
Vladyslav Yaskin
+ The Interface between Convex Geometry and Harmonic Analysis 2007 Alexander Koldobsky
Vladyslav Yaskin
+ PDF Chat The Geometry of <i>L</i><sub>0</sub> 2007 N. J. Kalton
Alexander Koldobsky
Vladyslav Yaskin
Maryna Yaskina
+ On strict inclusions in hierarchies of convex bodies 2007 Vladyslav Yaskin
+ Modified Shephard's problem on projections of convex bodies 2007 Vladyslav Yaskin
+ PDF Chat A solution to the lower dimensional Busemann-Petty problem in the hyperbolic space 2006 Vladyslav Yaskin
+ PDF Chat Modified Busemann-Petty problem on sections of convex bodies 2006 Alexander Koldobsky
Vladyslav Yaskin
Maryna Yaskina
+ PDF Chat Applications of the fourier transform to convex geometry 2006 Vladyslav Yaskin
+ Centroid bodies and comparison of volumes 2006 Vladyslav Yaskin
Maryna Yaskina
+ PDF Chat The Busemann–Petty problem in hyperbolic and spherical spaces 2005 Vladyslav Yaskin
+ Centroids and comparison of volumes 2005 Vladyslav Yaskin
Maryna Yaskina
+ A solution to the lower dimensional Busemann-Petty problem in the hyperbolic space 2005 Vladyslav Yaskin
+ The geometry of $L_0$ 2004 N. J. Kalton
Alexander Koldobsky
Vladyslav Yaskin
Maryna Yaskina
+ Modified Busemann-Petty problem on sections of convex bodies 2004 Alexander Koldobsky
Vladyslav Yaskin
Maryna Yaskina
+ The Busemann-Petty problem in hyperbolic and spherical spaces 2004 Vladyslav Yaskin
+ Modified Busemann-Petty problem on sections of convex bodies 2004 Alexander Koldobsky
Vladyslav Yaskin
Maryna Yaskina
+ The geometry of $L_0$ 2004 N. J. Kalton
Alexander Koldobsky
Vladyslav Yaskin
Maryna Yaskina
+ The Busemann-Petty problem in hyperbolic and spherical spaces 2004 Vladyslav Yaskin
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Fourier Analysis in Convex Geometry 2005 Alexander Koldobsky
34
+ Convex Bodies: The Brunn–Minkowski Theory 1993 Rolf Schneider
16
+ PDF Chat An Analytic Solution to the Busemann-Petty Problem on Sections of Convex Bodies 1999 Richard J. Gardner
Alexander Koldobsky
Thomas Schlumprecht
15
+ Intersection bodies and dual mixed volumes 1988 Erwin Lutwak
15
+ Fourier transforms and the Funk-Hecke theorem in convex geometry 2009 Paul Goodey
Vladyslav Yaskin
Maryna Yaskina
13
+ A functional analytic approach to intersection bodies 2000 Alexander Koldobsky
12
+ PDF Chat A generalization of the Busemann-Petty problem on sections of convex bodies 1999 Alexander Koldobsky
12
+ Geometric Applications of Fourier Series and Spherical Harmonics 1996 H. Groemer
9
+ Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space 2006 Vitali Milman
Alain Pajor
7
+ Positive definite distributions and subspaces of $L_{-p}$ with applications to stable processes 1996 Alexander Koldobsky
7
+ Generalized intersection bodies 2006 Emanuel Milman
6
+ PDF Chat The Busemann–Petty problem in hyperbolic and spherical spaces 2005 Vladyslav Yaskin
6
+ The Busemann–Petty problem via spherical harmonics 2003 Alexander Koldobsky
6
+ PDF Chat Partitions of mass-distributions and of convex bodies by hyperplanes 1960 Branko Grünbaum
6
+ On the volume of sections of a convex body by cones 2016 Matthieu Fradelizi
Mathieu Meyer
Vlad Yaskin
6
+ Detecting symmetry in star bodies 2012 Dmitry Ryabogin
Vladyslav Yaskin
6
+ PDF Chat Foundations of Hyperbolic Manifolds 2006 John G. Ratcliffe
5
+ The determination of convex bodies from derivatives of section functions 2007 Alexander Koldobsky
Christopher Shane
5
+ The Interface between Convex Geometry and Harmonic Analysis 2007 Alexander Koldobsky
Vladyslav Yaskin
5
+ Sections of convex bodies 1996 Gaoyong Zhang
5
+ Centroid bodies and comparison of volumes 2006 Vladyslav Yaskin
Maryna Yaskina
5
+ Determination of convex bodies by certain sets of sectional volumes 2001 John A. Barker
D. G. Larman
5
+ Grünbaum's inequality for projections 2016 Matthew Stephen
Ning Zhang
5
+ PDF Chat Problems on convex bodies 1956 Herbert Busemann
C. M. Petty
5
+ PDF Chat A problem of Klee on inner section functions of convex bodies 2012 Richard J. Gardner
Dmitry Ryabogin
Vlad Yaskin
Artem Zvavitch
5
+ PDF Chat An asymmetric convex body with maximal sections of constant volume 2013 Fëdor Nazarov
Dmitry Ryabogin
Artem Zvavitch
5
+ A Positive Solution to the Busemann-Petty Problem in \Bbb R 4 1999 Gaoyong Zhang
5
+ Generalizations of the Busemann–Petty problem for sections of convex bodies 2004 Boris Rubin
Gaoyong Zhang
4
+ Geometric Nonlinear Functional Analysis 1999 Yoav Benyamini
Joram Lindenstrauss
4
+ On strict inclusions in hierarchies of convex bodies 2008 Vladyslav Yaskin
4
+ Zu einem Problem von Shephard �ber die Projektionen konvexer K�rper 1967 Rolf Schneider
4
+ Newton's lemma XXVIII on integrable ovals in higher dimensions and reflection groups 2015 V. A. Vassiliev
4
+ PDF Chat The Busemann-Petty problem for arbitrary measures 2005 Artem Zvavitch
4
+ Philosophiae naturalis principia mathematica 1687 Isaac Newton
4
+ A Positive Answer to the Busemann-Petty Problem in Three Dimensions 1994 Richard J. Gardner
4
+ Extrinsic Geometry of Convex Surfaces 1973 А. В. Погорелов
4
+ PDF Chat Intersection bodies and the Busemann-Petty problem 1994 Richard J. Gardner
4
+ PDF Chat Banach spaces embedding isometrically into $L{\textunderscore }p$ when $0&lt;p&lt;1$ 2003 N. J. Kalton
Alexander Koldobsky
4
+ PDF Chat The Brunn-Minkowski inequality 2002 Richard J. Gardner
4
+ PDF Chat On polynomially integrable convex bodies 2017 Alexander Koldobsky
Alexander Merkurjev
Vladyslav Yaskin
4
+ PDF Chat Geometry of Isotropic Convex Bodies 2014 Silouanos Brazitikos
Apostolos Giannopoulos
Petros Valettas
Beatrice-Helen Vritsiou
4
+ PDF Chat Maximal sections and centrally symmetric bodies 2000 Endre Makai
Horst Martini
Tibor Ódor
4
+ Unique determination of convex polytopes by non-central sections 2010 Vladyslav Yaskin
4
+ PDF Chat The Geometry of <i>L</i><sub>0</sub> 2007 N. J. Kalton
Alexander Koldobsky
Vladyslav Yaskin
Maryna Yaskina
4
+ Convex Bodies The Brunn-MinkowskiTheory 2013 Rolf Schneider
4
+ PDF Chat Generalized intersection bodies are not equivalent 2007 Emanuel Milman
3
+ Convolutions, Transforms, and Convex Bodies 1999 Eric L. Grinberg
Gaoyong Zhang
3
+ An application of the fourier transform to sections of star bodies 1998 Alexander Koldobsky
3
+ On Inner Products in Linear, Metric Spaces 1935 Joseph E. Borzellino
Morgan Sherman
3
+ On convex perturbations with a bounded isotropic constant 2006 Bo’az Klartag
3