Volume of the Minkowski sums of star-shaped sets
Fradelizi, Matthieu, Lángi, Zsolt, Zvavitch, Artem
Published in Proceedings of the American Mathematical Society. Series B (29.08.2022)
Published in Proceedings of the American Mathematical Society. Series B (29.08.2022)
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Journal Article
Comparison problems for Radon transforms
Koldobsky, Alexander, Roysdon, Michael, Zvavitch, Artem
Published in Advances in mathematics (New York. 1965) (01.12.2023)
Published in Advances in mathematics (New York. 1965) (01.12.2023)
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Journal Article
General measure extensions of projection bodies
Langharst, Dylan, Roysdon, Michael, Zvavitch, Artem
Published in Proceedings of the London Mathematical Society (01.11.2022)
Published in Proceedings of the London Mathematical Society (01.11.2022)
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Journal Article
Weighted Brunn-Minkowski Theory I: On weighted surface area measures
Fradelizi, Matthieu, Langharst, Dylan, Madiman, Mokshay, Zvavitch, Artem
Published in Journal of mathematical analysis and applications (15.01.2024)
Published in Journal of mathematical analysis and applications (15.01.2024)
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Journal Article
Projections of convex bodies and the fourier transform
Koldobsky, Alexander, Ryabogin, Dmitry, Zvavitch, Artem
Published in Israel journal of mathematics (01.01.2004)
Published in Israel journal of mathematics (01.01.2004)
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Journal Article
On the volume of the Minkowski sum of zonoids
Fradelizi, Matthieu, Madiman, Mokshay, Meyer, Mathieu, Zvavitch, Artem
Published in Journal of functional analysis (01.02.2024)
Published in Journal of functional analysis (01.02.2024)
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Journal Article
Wulff shapes and a characterization of simplices via a Bezout type inequality
Saroglou, Christos, Soprunov, Ivan, Zvavitch, Artem
Published in Advances in mathematics (New York. 1965) (01.12.2019)
Published in Advances in mathematics (New York. 1965) (01.12.2019)
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Journal Article
Brunn-Minkowski type inequalities for the lattice point enumerator
Iglesias, David, Yepes Nicolás, Jesús, Zvavitch, Artem
Published in Advances in mathematics (New York. 1965) (26.08.2020)
Published in Advances in mathematics (New York. 1965) (26.08.2020)
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Journal Article
Polytopes of Maximal Volume Product
Alexander, Matthew, Fradelizi, Matthieu, Zvavitch, Artem
Published in Discrete & computational geometry (01.10.2019)
Published in Discrete & computational geometry (01.10.2019)
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Journal Article
Equipartitions and Mahler volumes of symmetric convex bodies
Fradelizi, Matthieu, Hubard, Alfredo, Meyer, Mathieu, Roldán-Pensado, Edgardo, Zvavitch, Artem
Published in American journal of mathematics (01.10.2022)
Published in American journal of mathematics (01.10.2022)
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Journal Article
Geometry and volume product of finite dimensional Lipschitz-free spaces
Alexander, Matthew, Fradelizi, Matthieu, García-Lirola, Luis C., Zvavitch, Artem
Published in Journal of functional analysis (15.02.2021)
Published in Journal of functional analysis (15.02.2021)
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Journal Article
A discrete version of Koldobsky’s slicing inequality
Alexander, Matthew, Henk, Martin, Zvavitch, Artem
Published in Israel journal of mathematics (01.10.2017)
Published in Israel journal of mathematics (01.10.2017)
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Journal Article
Do Minkowski averages get progressively more convex?
Fradelizi, Matthieu, Madiman, Mokshay, Marsiglietti, Arnaud, Zvavitch, Artem
Published in Comptes rendus. Mathématique (01.02.2016)
Published in Comptes rendus. Mathématique (01.02.2016)
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Journal Article
The convexification effect of Minkowski summation
Fradelizi, Matthieu, Madiman, Mokshay, Marsiglietti, Arnaud, Zvavitch, Artem
Published in EMS surveys in mathematical sciences (01.01.2018)
Published in EMS surveys in mathematical sciences (01.01.2018)
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Journal Article
An Application of Shadow Systems to Mahler’s Conjecture
Fradelizi, Matthieu, Meyer, Mathieu, Zvavitch, Artem
Published in Discrete & computational geometry (01.10.2012)
Published in Discrete & computational geometry (01.10.2012)
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Journal Article
The geometry of p-convex intersection bodies
Kim, Jaegil, Yaskin, Vladyslav, Zvavitch, Artem
Published in Advances in mathematics (New York. 1965) (01.04.2011)
Published in Advances in mathematics (New York. 1965) (01.04.2011)
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Journal Article
The unit ball is an attractor of the intersection body operator
Fish, Alexander, Nazarov, Fedor, Ryabogin, Dmitry, Zvavitch, Artem
Published in Advances in mathematics (New York. 1965) (15.02.2011)
Published in Advances in mathematics (New York. 1965) (15.02.2011)
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Journal Article
On the monotonicity of Minkowski sums towards convexity
Fradelizi, Matthieu, Madiman, Mokshay, Marsiglietti, Arnaud, Zvavitch, Artem
Published in EMS surveys in mathematical sciences (2018)
Published in EMS surveys in mathematical sciences (2018)
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Journal Article