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Two results on the homothety conjecture for convex bodies of flotation on the plane
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2025
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M. Angeles Alfonseca
Fëdor Nazarov
Dmitry Ryabogin
Alina Stancu
Vladyslav Yaskin
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Characterizations of balls and ellipsoids by infinitesimal homothetic conditions
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2025
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M. Angeles Alfonseca
Dmitry Ryabogin
Alina Stancu
Vladyslav Yaskin
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Answers to questions of Grünbaum and Loewner
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2024
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Sergii Myroshnychenko
Kateryna Tatarko
Vladyslav Yaskin
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A generalization of Gr\"unbaum's inequality
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2024
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Brayden Letwin
Vladyslav Yaskin
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On a generalization of Busemann's intersection inequality
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2024
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Vladyslav Yaskin
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On the Maximal Distance Between the Centers of Mass of a Planar Convex Body and Its Boundary
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2024
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Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
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Answers to questions of Gr\"unbaum and Loewner
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2024
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Sergii Myroshnychenko
Kateryna Tatarko
Vladyslav Yaskin
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On separably integrable symmetric convex bodies
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2024
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Vladyslav Yaskin
Bartłomiej Zawalski
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How far apart can the projection of the centroid of a convex body and the centroid of its projection be?
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2023
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Sergii Myroshnychenko
Kateryna Tatarko
Vladyslav Yaskin
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PDF
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Algebraically integrable bodies and related properties of the Radon transform
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2023
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Mark Agranovsky
Jan Boman
Alexander Koldobsky
V. A. Vassiliev
Vladyslav Yaskin
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Analysis and geometry near the unit ball: proofs, counterexamples, and open questions
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2023
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M. Angeles Alfonseca
Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
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An analogue of polynomially integrable bodies in even-dimensional spaces
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2023
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Mark Agranovsky
Alexander Koldobsky
D. Ryabogin
Vladyslav Yaskin
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On the maximal distance between the centers of mass of a planar convex body and its boundary
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2023
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Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
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On separably integrable symmetric convex bodies
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2023
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Vladyslav Yaskin
Bartłomiej Zawalski
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An analog of polynomially integrable bodies in even-dimensional spaces
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2022
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Mark Agranovsky
Alexander Koldobsky
Dmitry Ryabogin
Vladyslav Yaskin
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Algebraically integrable bodies and related properties of the Radon transform
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2022
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Mark Agranovsky
Jan Boman
Alexander Koldobsky
V. A. Vassiliev
Vladyslav Yaskin
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How far apart can the projection of the centroid of a convex body and the centroid of its projection be?
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2022
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Sergii Myroshnychenko
Kateryna Tatarko
Vladyslav Yaskin
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PDF
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A solution to the fifth and the eighth Busemann-Petty problems in a small neighborhood of the Euclidean ball
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2021
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M. Angeles Alfonseca
Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
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Unique Determination of Ellipsoids by Their Dual Volumes
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2021
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Sergii Myroshnychenko
Kateryna Tatarko
Vladyslav Yaskin
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A solution to the Fifth and the Eighth Busemann-Petty problems in a small neighborhood of the Euclidean ball
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2021
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M. Angeles Alfonseca
Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
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A generalization of Winternitz’s theorem and its discrete version
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2021
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Alexandra Shyntar
Vladyslav Yaskin
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A solution to the Fifth and the Eighth Busemann-Petty problems in a small neighborhood of the Euclidean ball
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2021
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M. Angeles Alfonseca
Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
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Unique determination of ellipsoids by their dual volumes and the moment problem
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2020
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Sergii Myroshnychenko
Kateryna Tatarko
Vladyslav Yaskin
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Applications of Gr\"unbaum-type inequalities
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2018
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Matthew Stephen
Vladyslav Yaskin
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Applications of Grünbaum-type inequalities
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2018
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Matthew Stephen
Vladyslav Yaskin
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PDF
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Grünbaum‐type inequality for log‐concave functions
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2018
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Mathieu Meyer
Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
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PDF
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An Extension of Polynomial Integrability to Dual Quermassintegrals
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2018
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Vladyslav Yaskin
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An extension of polynomial integrability to dual quermassintegrals
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2018
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Vladyslav Yaskin
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Busemann's intersection inequality in hyperbolic and spherical spaces
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2018
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Susanna Dann
Jaegil Kim
Vladyslav Yaskin
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Applications of Grünbaum-type inequalities
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2018
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Matthew D. Stephen
Vladyslav Yaskin
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An extension of polynomial integrability to dual quermassintegrals
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2018
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Vladyslav Yaskin
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PDF
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On polynomially integrable convex bodies
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2017
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Alexander Koldobsky
Alexander Merkurjev
Vladyslav Yaskin
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Busemann's intersection inequality in hyperbolic and spherical spaces
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2017
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Susanna Dann
Jaegil Kim
Vladyslav Yaskin
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Generalized Grünbaum inequality
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2017
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M. Meyer
Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
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PDF
Chat
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Generalized Gr\"unbaum inequality
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2017
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M. Meyer
Fëdor Nazarov
Dmitry Ryabogin
Vladyslav Yaskin
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PDF
Chat
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Non-central sections of convex bodies
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2017
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Vladyslav Yaskin
Ning Zhang
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On polynomially integrable convex bodies
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2017
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Alexander Koldobsky
Alexander Merkurjev
Vladyslav Yaskin
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On polynomially integrable convex bodies
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2017
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Alexander Koldobsky
Alexander Merkurjev
Vladyslav Yaskin
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Busemann's intersection inequality in hyperbolic and spherical spaces
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2017
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Susanna Dann
Jaegil Kim
Vladyslav Yaskin
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PDF
Chat
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Distribution functions of sections and projections of convex bodies
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2016
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Jaegil Kim
Vladyslav Yaskin
Artem Zvavitch
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Unique Determination of Convex Lattice Sets
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2016
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Dmitry Ryabogin
Vladyslav Yaskin
Ning Zhang
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On sections of convex bodies in hyperbolic space
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2016
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K.L.H. Hiripitiyage
Vladyslav Yaskin
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Stability results for sections of convex bodies
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2015
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Matthew Stephen
Vladyslav Yaskin
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Thick sections of convex bodies
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2015
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Vladyslav Yaskin
Maryna Yaskina
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Stability results for sections of convex bodies
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2015
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Matthew Stephen
Vladyslav Yaskin
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Non-central sections of convex bodies
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2015
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Vladyslav Yaskin
Ning Zhang
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Stability results for sections of convex bodies
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2015
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Matthew D. Stephen
Vladyslav Yaskin
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PDF
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Counterexamples to convexity of $k$-intersection bodies
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2014
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Vladyslav Yaskin
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Detecting symmetry in star bodies
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2012
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Dmitry Ryabogin
Vladyslav Yaskin
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PDF
Chat
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A Fourier transform approach to Christoffel’s problem
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2011
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Paul Goodey
Vladyslav Yaskin
Maryna Yaskina
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The geometry of p-convex intersection bodies
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2011
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Jaegil Kim
Vladyslav Yaskin
Artem Zvavitch
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A problem of Klee on inner section functions of convex bodies
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2011
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Richard J. Gardner
Dmitri Ryabogin
Vladyslav Yaskin
Artem Zvavitch
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A problem of Klee on inner section functions of convex bodies
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2011
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Richard J. Gardner
Dmitri Ryabogin
Vladyslav Yaskin
Artem Zvavitch
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On perimeters of sections of convex polytopes
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2010
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Vladyslav Yaskin
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Unique determination of convex polytopes by non-central sections
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2010
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Vladyslav Yaskin
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The geometry of p-convex intersection bodies
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2010
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Jaegil Kim
Vladyslav Yaskin
Artem Zvavitch
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Fourier transforms and the Funk-Hecke theorem in convex geometry
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2009
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Paul Goodey
Vladyslav Yaskin
Maryna Yaskina
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PDF
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Modified Shephard’s problem on projections of convex bodies
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2008
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Vladyslav Yaskin
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On strict inclusions in hierarchies of convex bodies
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2008
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Vladyslav Yaskin
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PDF
Chat
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Inequalities of the Kahane–Khinchin type and sections of L<sub>p</sub>-balls
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2008
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Alexander Koldobsky
Alain Pajor
Vladyslav Yaskin
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The Busemann-Petty problem
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2007
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Alexander Koldobsky
Vladyslav Yaskin
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Hyperplane sections of ℓ_{𝑝}-balls
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2007
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Alexander Koldobsky
Vladyslav Yaskin
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PDF
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On the road between polar projection bodies and intersection bodies
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2007
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Alexander Koldobsky
Vladyslav Yaskin
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Intersection bodies and 𝐿_{𝑝}-spaces
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2007
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Alexander Koldobsky
Vladyslav Yaskin
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The Interface between Convex Geometry and Harmonic Analysis
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2007
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Alexander Koldobsky
Vladyslav Yaskin
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PDF
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The Geometry of <i>L</i><sub>0</sub>
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2007
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N. J. Kalton
Alexander Koldobsky
Vladyslav Yaskin
Maryna Yaskina
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On strict inclusions in hierarchies of convex bodies
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2007
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Vladyslav Yaskin
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Modified Shephard's problem on projections of convex bodies
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2007
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Vladyslav Yaskin
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PDF
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A solution to the lower dimensional Busemann-Petty problem in the hyperbolic space
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2006
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Vladyslav Yaskin
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PDF
Chat
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Modified Busemann-Petty problem on sections of convex bodies
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2006
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Alexander Koldobsky
Vladyslav Yaskin
Maryna Yaskina
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PDF
Chat
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Applications of the fourier transform to convex geometry
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2006
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Vladyslav Yaskin
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Centroid bodies and comparison of volumes
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2006
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Vladyslav Yaskin
Maryna Yaskina
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PDF
Chat
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The Busemann–Petty problem in hyperbolic and spherical spaces
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2005
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Vladyslav Yaskin
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Centroids and comparison of volumes
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2005
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Vladyslav Yaskin
Maryna Yaskina
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A solution to the lower dimensional Busemann-Petty problem in the hyperbolic space
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2005
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Vladyslav Yaskin
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The geometry of $L_0$
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2004
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N. J. Kalton
Alexander Koldobsky
Vladyslav Yaskin
Maryna Yaskina
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Modified Busemann-Petty problem on sections of convex bodies
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2004
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Alexander Koldobsky
Vladyslav Yaskin
Maryna Yaskina
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The Busemann-Petty problem in hyperbolic and spherical spaces
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2004
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Vladyslav Yaskin
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Modified Busemann-Petty problem on sections of convex bodies
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2004
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Alexander Koldobsky
Vladyslav Yaskin
Maryna Yaskina
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The geometry of $L_0$
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2004
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N. J. Kalton
Alexander Koldobsky
Vladyslav Yaskin
Maryna Yaskina
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The Busemann-Petty problem in hyperbolic and spherical spaces
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2004
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Vladyslav Yaskin
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