Dan I. Florentin

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the Many Faces of Easily Covered Polytopes	2024	Dan I. Florentin Tomer Milo
+ PDF Chat	Uniqueness results for bodies of constant width in the hyperbolic plane	2021	M. Angeles Alfonseca M. Cordier Dan I. Florentin
+ PDF Chat	Caustic-free regions for billiards on surfaces of constant curvature	2021	Dan I. Florentin Yaron Ostrover Daniel Rosen
+	Caustic-Free Regions for Billiards in the Hyperbolic Plane	2021	Dan I. Florentin Yaron Ostrover Daniel Rosen
+	Caustic-Free Regions for Billiards on Surfaces of Constant Curvature.	2021	Dan I. Florentin Yaron Ostrover Daniel Rosen
+	Caustic-Free Regions for Billiards on Surfaces of Constant Curvature	2021	Dan I. Florentin Yaron Ostrover Daniel Rosen
+ PDF Chat	Functional Brunn-Minkowski inequalities induced by polarity	2020	Shiri Artstein-Avidan Dan I. Florentin A. Śegal
+	Convex Floating Bodies of Equilibrium	2020	Dan I. Florentin Carsten Schuett Elisabeth M. Werner Ning Zhang
+	A Santaló-type inequality for the 𝒥 transform	2019	Dan I. Florentin Alexander Segal
+	Uniqueness Results for Bodies of Constant Width in the Hyperbolic Plane	2019	M. Angeles Alfonseca M. Cordier Dan I. Florentin
+	A Santaló-type Inequality for the ${\cal J}$ Transform	2019	Dan I. Florentin Alexander Segal
+	On the Linear Structures Induced by the Four Order Isomorphisms Acting on ${\rm{Cvx}}_0({\mathbb R}^n)$	2019	Dan I. Florentin Alexander Segal
+	A Santaló-type Inequality for the ${\cal J}$ Transform	2019	Dan I. Florentin Alexander Segal
+	Uniqueness Results for Bodies of Constant Width in the Hyperbolic Plane	2019	M. Angeles Alfonseca M. Cordier Dan I. Florentin
+ PDF Chat	Duality of caustics in Minkowski billiards	2018	Shiri Artstein-Avidan Dan I. Florentin Yaron Ostrover Daniel Rosen
+	Polar Pr\'ekopa--Leindler Inequalities	2017	Shiri Artstein-Avidan Dan I. Florentin Alexander Segal
+	Functional Brunn-Minkowski Inequalities Induced by Polarity	2017	Shiri Artstein-Avidan Dan I. Florentin Alexander Segal
+ PDF Chat	Stability and Rate of Convergence of the Steiner Symmetrization	2017	Dan I. Florentin Alexander Segal
+	Functional Brunn-Minkowski Inequalities Induced by Polarity	2017	Shiri Artstein-Avidan Dan I. Florentin Alexander Segal
+ PDF Chat	Minkowski symmetrizations of star shaped sets	2016	Dan I. Florentin A. Śegal
+	Minkowski Symmetrizations of Star Shaped Sets	2015	Dan I. Florentin Alexander Segal
+	On Godbersen’s conjecture	2015	Shiri Artstein-Avidan Keshet Einhorn Dan I. Florentin Yaron Ostrover
+	Stability and Rate of Convergence of the Steiner Symmetrization	2015	Dan I. Florentin A. Śegal
+	Identifying Set Inclusion by Projective Positions and Mixed Volumes	2015	Dan I. Florentin V. D. Milman A. Segal
+	Minkowski Symmetrizations of Star Shaped Sets	2015	Dan I. Florentin Alexander Segal
+	Order Isomorphisms on Convex Functions in Windows	2015	S. Artstein-Avidan Dan I. Florentin V. D. Milman
+	Stability of Order Preserving Transforms	2015	Dan I. Florentin A. Segal
+	A characterization of the mixed discriminant	2013	Dan I. Florentin Vitali Milman Rolf Schneider

Common Coauthors

Coauthor	Papers Together
Alexander Segal	10
Shiri Artstein-Avidan	6
Yaron Ostrover	6
Daniel Rosen	4
M. Cordier	3
M. Angeles Alfonseca	3
A. Śegal	3
A. Segal	2
V. D. Milman	2
Tomer Milo	1
S. Artstein-Avidan	1
Daniel Rosen	1
Carsten Schuett	1
Rolf Schneider	1
Ning Zhang	1
Elisabeth M. Werner	1
Vitali Milman	1
Keshet Einhorn	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Hidden structures in the class of convex functions and a new duality transform	2011	Shiri Artstein-Avidan Vitali Milman	5
+ PDF Chat	Note on convex curves on the hyperbolic plane	1945	Lluís Santaló	5
+ PDF Chat	Instability of the boundary in the billiard ball problem	1987	Andrea Hubacher	4
+ PDF Chat	Rate of convergence of geometric symmetrizations	2004	Bo’az Klartag	4
+	Billiards in Finsler and Minkowski geometries	2002	Eugène Gutkin Serge Tabachnikov	4
+ PDF Chat	Caustics for inner and outer billiards	1995	Eugène Gutkin Anatole Katok	4
+	Introduction to the modern theory of dynamical systems	1996	Anatole Katok Boris Hasselblatt	4
+	Hyperbolic Billiards on Surfaces of Constant Curvature	1999	Boris Gutkin Uzy Smilansky Eugène Gutkin	3
+	Hopf rigidity for convex billiards on the hemisphere and hyperbolic plane	2013	Misha Bialy	3
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	3
+	The geometry of p-convex intersection bodies	2011	Jaegil Kim Vladyslav Yaskin Artem Zvavitch	3
+	Ueber den Kappenkörper eines konvexen Körpers	1930	August Stoll	3
+	Integral geometry on surfaces of constant negative curvature	1943	Lluís Santaló	3
+ PDF Chat	Periodic orbits of oval billiards on surfaces of constant curvature	2016	Luciano Coutinho dos Santos Sônia Pinto-de-Carvalho	3
+ PDF Chat	The Brunn-Minkowski inequality	2002	Richard J. Gardner	3
+ PDF Chat	On curves with the Poritsky property	2022	Alexey Glutsyuk	3
+ PDF Chat	Volume of the polar of random sets and shadow systems	2014	Dario Cordero–Erausquin Matthieu Fradelizi Grigoris Paouris Peter Pivovarov	3
+ PDF Chat	Convex bodies and norms associated to convex measures	2009	Sergey G. Bobkov	3
+ PDF Chat	A Theorem on Convex Bodies of the Brunn-Minkowski Type	1949	Herbert Busemann	3
+ PDF Chat	Logarithmically concave functions and sections of convex sets in $R^{n}$	1988	Keith Ball	3
+	Asymptotic Geometric Analysis, Part I	2015	Shiri Artstein-Avidan Apostolos Giannopoulos Vitali Milman	3
+	Convex set functions ind-space	1975	Christer Borell	3
+	Three-Dimensional Geometry and Topology, Volume 1	2014	William P. Thurston	2
+ PDF Chat	Differential analysis of polarity: Polar Hamilton-Jacobi, conservation laws, and Monge Ampère equations	2017	Shiri Artstein-Avidan Yanir A. Rubinstein	2
+ PDF Chat	Glancing billiards	1982	John N. Mather	2
+	Geometry of Log-concave Functions and Measures	2005	Bo’az Klartag Vitali Milman	2
+ PDF Chat	Order Isomorphisms on Convex Functions in Windows	2012	Shiri Artstein-Avidan Dan Florentin Vitali Milman	2
+ PDF Chat	A central limit theorem for convex sets	2007	Bo’az Klartag	2
+ PDF Chat	Effective bounds in E. Hopf rigidity for billiards and geodesic flows	2015	Misha Bialy	2
+ PDF Chat	The Busemann–Petty problem in hyperbolic and spherical spaces	2005	Vladyslav Yaskin	2
+	Width of convex bodies in spaces of constant curvature	2008	E. Gallego Agustí Reventós Gil Solanes Eberhard Teufel	2
+	Curves of constant width in the non-euclidean geometry	2005	Kurt Leichtweiß	2
+	None	1999	E. Gallego Agustí Reventós	2
+ PDF Chat	Polar Means of Convex Bodies and a Dual to the Brunn-Minkowski Theorem	1961	William J. Firey	2
+ PDF Chat	From the Mahler Conjecture to Gauss Linking Integrals	2008	Greg Kuperberg	2
+	Increasing functions and inverse Santaló inequality for unconditional functions	2008	Matthieu Fradelizi Mathieu Meyer	2
+	On sections of convex bodies in hyperbolic space	2016	K.L.H. Hiripitiyage Vladyslav Yaskin	2
+	The Santaló point of a function, and a functional form of the Santaló inequality	2004	Shiri Artstein-Avidan Bo’az Klartag Vitali Milman	2
+ PDF Chat	Foundations of Hyperbolic Manifolds	2006	John G. Ratcliffe	2
+	The Hörmander Proof of the Bourgain–Milman Theorem	2012	Fëdor Nazarov	2
+ PDF Chat	A note on Santaló inequality for the polarity transform and its reverse	2014	Shiri Artstein-Avidan Boaz A. Slomka	2
+ PDF Chat	The isotropic position and the reverse Santaló inequality	2013	Apostolos Giannopoulos Grigoris Paouris Beatrice-Helen Vritsiou	2
+	Eine Verallgemeinerung des Busemannschen Satzes vom Brunn-Minkowskischen Typ	1961	Woldemar Barthel Gudrun Franz	2
+ PDF Chat	Stability of the Steiner symmetrization of convex sets	2013	Marco Barchiesi Filippo Cagnetti Nicola Fusco	2
+	On the Blaschke-Santal� inequality	1990	Mathieu Meyer Alain Pajor	2
+ PDF Chat	Isomorphic Steiner symmetrization	2003	Bo’az Klartag Vitali Milman	2
+ PDF Chat	On Convexity of Measures	1976	Yosef Rinott	2
+	New volume ratio properties for convex symmetric bodies in ? n	1987	Jean Bourgain Vitali Milman	2
+ PDF Chat	The concept of duality in convex analysis, and the characterization of the Legendre transform	2009	Shiri Artstein-Avidan Vitali Milman	2
+	Minkowski sums and symmetrizations	1988	Jean Bourgain Joram Lindenstrauss Vitali Milman	2