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Böröczky, Karoly jun.

Author ID: boroczky.karoly-jun Recent zbMATH articles by "Böröczky, Karoly jun."
Published as: Böröczky, Károly jun.; Böröczky, Károly J.; Böröczky, K. jun.; Böröczky, Károly; Böröczky, K.; Böröczky, K. J.; Boroczky, Karoly jun.; Böröczky, Karoly jun.
Homepage: http://www.renyi.hu/~carlos/carlospub.html
External Links: MGP · Wikidata · dblp · GND · IdRef
all top 5

Co-Authors

20 single-authored
10 Bisztriczky, Tibor
10 Hug, Daniel
9 Wintsche, Gergely
8 Fodor, Ferenc
6 Bárány, Imre
6 Böröczky, Karoly
6 Yang, Deane
5 Henk, Martin
5 Lutwak, Erwin
5 Makai, Endre jun.
5 Pach, János
5 Zhang, Gaoyong
4 De, Apratim
4 Sagmeister, Ádám
4 Schneider, Rolf G.
4 Schnell, Uwe
4 Serra, Oriol
3 Betke, Ulrich
3 Bianchi, Gabriele
3 Colesanti, Andrea
3 Ludwig, Monika
3 Reitzner, Matthias
2 Ambrus, Gergely
2 Ball, Keith Martin
2 Csikós, Balázs
2 Domokos, Mátyás
2 Harborth, Heiko
2 Hegedűs, Pál
2 Heppes, Aladár
2 Kalantzopoulos, Pavlos
2 Kovács, Ágnes M.
2 Kuperberg, Wlodzimierz
2 Ramos, João Pedro Gonçalves
2 Ruzsa, Imre Z.
2 Santos, Francisco
2 Tick, Péter
2 Vígh, Viktor
2 Wills, Jörg M.
2 Zhao, Yiming
1 Abardia-Evéquoz, Judit
1 Arhelger, Volker
1 Bartha, Ferenc Ágoston
1 Barthe, Franck
1 Bavard, Christophe
1 Bencs, Ferenc
1 Bezdek, Károly
1 Csépai, András
1 Fábián, Ildikó
1 Farkas, Borbála
1 Fary, Istvan
1 Fejes Tóth, Gábor
1 Figalli, Alessio
1 Fradelizi, Matthieu
1 Glazyrin, Alexey
1 Guan, Pengfei
1 Gunderson, David S.
1 Guy, Richard Kenneth
1 Hoffman, Benjamin
1 Hoffmann, Lars Michael
1 Kertész, Dávid Csaba
1 Kollár, János
1 Larman, David G.
1 Linderholm, Carl E.
1 Lugosi, Gábor
1 Matolcsi, Máté
1 Meyer, Mathieu
1 Neumann, Walter David
1 Pálfy, Péter Pál
1 Piepmeyer, Lothar
1 Pollehn, Hannes
1 Prok, István
1 Radchenko, Danylo V.
1 Reisner, Shlomo
1 Réti, Tamás
1 Salinas, Guillermo
1 Saroglou, Christos
1 Sauer, Norbert W.
1 Schütt, Carsten
1 Segura Gomis, Salvador
1 Sezgin, Sezer A.
1 Solanes, Gil
1 Soltan, Valeriu
1 Stipsicz, András I.
1 Szamuely, Tamás
1 Tardos, Gábor
1 Tóth, Géza
1 Trinh, Hai T.
1 Vena, Lluís
1 Wilker, John B.
1 Xi, Dongmeng
1 Zhu, Guangxian
1 Zhu, Xuding
all top 5

Serials

9 Advances in Mathematics
9 Discrete & Computational Geometry
6 Mathematika
6 Monatshefte für Mathematik
5 Studia Scientiarum Mathematicarum Hungarica
5 Acta Mathematica Hungarica
5 Bolyai Society Mathematical Studies
4 Periodica Mathematica Hungarica
4 Beiträge zur Algebra und Geometrie
4 Geometriae Dedicata
4 Transactions of the American Mathematical Society
4 Advances in Applied Mathematics
3 Canadian Journal of Mathematics
3 Canadian Mathematical Bulletin
3 Journal of Differential Geometry
2 Discrete Mathematics
2 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica
2 Archiv der Mathematik
2 Bulletin of the London Mathematical Society
2 Journal of Differential Equations
2 Journal of Functional Analysis
2 Journal of the London Mathematical Society. Second Series
2 The Journal of Geometric Analysis
1 Communications on Pure and Applied Mathematics
1 Israel Journal of Mathematics
1 Letters in Mathematical Physics
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Journal of Geometry and Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Scientiarum Mathematicarum
1 American Journal of Mathematics
1 Journal of Approximation Theory
1 Journal of Geometry
1 Journal of Multivariate Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Proceedings of the American Mathematical Society
1 Publicationes Mathematicae Debrecen
1 Journal of the American Mathematical Society
1 Mathematica Pannonica
1 The Annals of Applied Probability
1 International Journal of Foundations of Computer Science
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Periodica Polytechnica. Mechanical Engineering
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Contemporary Mathematics
1 Cambridge Tracts in Mathematics
1 Colloquia Mathematica Societatis János Bolyai
1 Involve
1 The Art of Discrete and Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 1,249 times in 622 Documents Cited by Year
The logarithmic Minkowski problem. Zbl 1272.52012
Böröczky, Károly jun.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
198
2013
The log-Brunn-Minkowski inequality. Zbl 1258.52005
Böröczky, Károly jun.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
163
2012
On the discrete logarithmic Minkowski problem. Zbl 1345.52002
Böröczky, Károly J.; Hegedus, Pál; Zhu, Guangxian
68
2016
Subspace concentration of dual curvature measures of symmetric convex bodies. Zbl 1397.52005
Böröczky, Károly J.; Henk, Martin; Pollehn, Hannes
50
2018
Finite packing and covering. Zbl 1061.52011
Böröczky, Károly jun.
47
2004
Cone-volume measure of general centered convex bodies. Zbl 1334.52003
Böröczky, Károly J.; Henk, Martin
41
2016
Affine images of isotropic measures. Zbl 1325.28004
Böröczky, Károly jun.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
41
2015
The \(L_{p}\) dual Minkowski problem for \(p\) > 1 and \(q\) > 0. Zbl 1437.52002
Böröczky, Károly J.; Fodor, Ferenc
35
2019
Stronger versions of the Orlicz-Petty projection inequality. Zbl 1291.52012
Böröczky, Károly jun.
33
2013
The \(L_{p}\)-Minkowski problem for \(-n < p < 1\). Zbl 1406.52016
Bianchi, Gabriele; Böröczky, Károly J.; Colesanti, Andrea; Yang, Deane
33
2019
The planar \(L_{p}\)-Minkowski problem for \(0<p<1\). Zbl 1376.52013
Böröczky, Károly J.; Trinh, Hai T.
29
2017
The dual Minkowski problem for symmetric convex bodies. Zbl 1427.52006
Böröczky, Károly J.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong; Zhao, Yiming
28
2019
A characterization of the duality mapping for convex bodies. Zbl 1168.52002
Böröczky, Károly jun.; Schneider, Rolf
25
2008
Approximation of general smooth convex bodies. Zbl 0964.52010
Böröczky, Károly jun.
22
2000
Stability of the Blaschke-Santaló and the affine isoperimetric inequality. Zbl 1216.52007
Böröczky, Károly jun.
17
2010
Stability of some versions of the Prékopa-Leindler inequality. Zbl 1217.60014
Ball, Keith M.; Böröczky, Károly J.
16
2011
Stability of the functional forms of the Blaschke-Santaló inequality. Zbl 1288.52003
Barthe, Franck; Böröczky, Károly jun.; Fradelizi, Matthieu
16
2014
Stability of the Prékopa-Leindler inequality. Zbl 1205.39024
Ball, Keith M.; Böröczky, Károly jun.
16
2010
Minkowski valuations on lattice polytopes. Zbl 1506.52016
Böröczky, Károly J.; Ludwig, Monika
16
2019
Random projections of regular polytopes. Zbl 0949.52001
Böröczky, Károly jun.; Henk, Martin
15
1999
Covering the sphere by equal spherical balls. Zbl 1077.52513
Böröczky, Károly jun.; Wintsche, Gergely
15
2003
Polytopal approximation bounding the number of \(k\)-faces. Zbl 0974.52006
Böröczky, Károly jun.
15
2000
Approximation of smooth convex bodies by random circumscribed polytopes. Zbl 1049.60009
Böröczky, Károly jun.; Reitzner, Matthias
15
2004
The cone volume measure of antipodal points. Zbl 1363.52007
Böröczky, K. J.; Hegedűs, P.
13
2015
The Gauss image problem. Zbl 1456.52002
Böröczky, Károly J.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong; Zhao, Yiming
13
2020
The mean width of circumscribed random polytopes. Zbl 1209.52005
Böröczky, Károly jun.; Schneider, Rolf
13
2010
Smoothness in the \(L_p\) Minkowski problem for \(p<1\). Zbl 1445.52005
Bianchi, Gabriele; Böröczky, Károly J.; Colesanti, Andrea
13
2020
The stability of the Rogers-Shephard inequality and of some related inequalities. Zbl 1063.52002
Böröczky, Károly jun.
12
2005
Cone-volume measure and stability. Zbl 1366.52007
Böröczky, Károly J.; Henk, Martin
12
2017
The mean width of random polytopes circumscribed around a convex body. Zbl 1191.52003
Böröczky, Károly jun.; Fodor, Ferenc; Hug, Daniel
10
2010
Mean width of random polytopes in a reasonably smooth convex body. Zbl 1221.52008
Böröczky, K. jun.; Fodor, F.; Reitzner, M.; Vígh, V.
10
2009
The Orlicz version of the \(L_p\) Minkowski problem for \(- n < p < 0\). Zbl 1428.52009
Bianchi, Gabriele; Böröczky, Károly J.; Colesanti, Andrea
10
2019
Expectation of intrinsic volumes of random polytopes. Zbl 1265.52004
Böröczky, Károly jun.; Hoffmann, Lars Michael; Hug, Daniel
9
2008
Stability of the reverse Blaschke-Santaló inequality for zonoids and applications. Zbl 1191.52002
Böröczky, Károly jun.; Hug, Daniel
9
2010
Approximation of convex bodies and a momentum lemma for power diagrams. Zbl 0933.52023
Böröczky, Károly jun.; Ludwig, Monika
8
1999
Optimizing area and perimeter of convex sets for fixed circumradius and inradius. Zbl 1022.52004
Böröczky, Károly jun.; Salinas, G.
8
2003
On the volume product of planar polar convex bodies – lower estimates with stability. Zbl 1313.52007
Böröczky, K.; Makai, E. jun.; Meyer, M.; Reisner, S.
8
2013
On sumsets and convex hull. Zbl 1310.11015
Böröczky, Károly jun.; Santos, Francisco; Serra, Oriol
7
2014
Valuations on lattice polytopes. Zbl 1376.52022
Böröczky, Károly J.; Ludwig, Monika
7
2017
Intrinsic volumes of random polytopes with vertices on the boundary of a convex body. Zbl 1271.52004
Böröczky, Károly jun.; Fodor, Ferenc; Hug, Daniel
7
2013
On the cardinality of sumsets in torsion-free groups. Zbl 1258.20025
Böröczky, Károly jun.; Pálfy, Péter P.; Serra, Oriol
5
2012
Isotropic measures and stronger forms of the reverse isoperimetric inequality. Zbl 1373.52011
Böröczky, Károly J.; Hug, Daniel
5
2017
\(\mathrm{SL}(m, \mathbb{C})\)-equivariant and translation covariant continuous tensor valuations. Zbl 1431.52019
Abardia-Evéquoz, Judit; Böröczky, Károly J.; Domokos, Mátyás; Kertész, Dávid
5
2019
The isodiametric problem on the sphere and in the hyperbolic space. Zbl 1449.51025
Böröczky, K. J.; Sagmeister, Á.
5
2020
Note on an inequality of Wegner. Zbl 1117.52020
Boroczky, Karoly jun.; Ruzsa, Imre Z.
4
2007
Stable determination of convex bodies from sections. Zbl 1224.52008
Böröczky, Károly jun.; Schneider, Rolf
4
2009
About the centroid body and the ellipsoid of inertia. Zbl 1037.52007
Bisztriczky, T.; Böröczky, K. jun.
4
2001
Planar crossing numbers of graphs embeddable in another surface. Zbl 1100.68075
Böröczky, Károly jun.; Pach, János; Tóth, Géza
4
2006
Rectangular convexity of convex domains of constant width. Zbl 0694.52001
Böröczky, K. jun.
4
1990
Covering the crosspolytope by equal balls. Zbl 1127.52027
Böröczky, Károly jun.; Fábián, Ildikó; Wintsche, Gergely
4
2006
Log-Brunn-Minkowski inequality under symmetry. Zbl 1504.52006
Böröczky, Károly J.; Kalantzopoulos, Pavlos
4
2022
Approximating \(3\)-dimensional convex bodies by polytopes with a restricted number of edges. Zbl 1147.52002
Böröczky, K. jun.; Fodor, F.; Vígh, V.
3
2008
Smallest maximal snakes of translates of convex domains. Zbl 0841.52010
Böröczky, Károly jun.; Soltan, Valeriu
3
1995
Around the Rogers-Shepard inequality. Zbl 0851.52011
Böröczky, Károly jun.
3
1996
Approximation of smooth convex bodies by circumscribed polytopes with respect to the surface area. Zbl 1183.52007
Böröczky, Károly jun.; Csikós, Balázs
3
2009
On antipodal \(3\)-polytopes. Zbl 1113.52007
Bisztriczky, Tibor; Böröczky, Károly
3
2005
Isoperimetric problems for polytopes with a given number of vertices. Zbl 0878.52006
Böröczky, Károly; Böröczky, Károly jun.
3
1996
Dimension of the space of unitary equivariant translation invariant tensor valuations. Zbl 1472.52004
Böröczky, K. J.; Domokos, M.; Solanes, G.
3
2021
Stable solution of the Logarithmic Minkowski problem in the case of hyperplane symmetries. Zbl 1511.35204
Böröczky, Károly J.; De, Apratim
3
2021
Geometry – intuitive, discrete, and convex. A tribute to László Fejes Tóth. Zbl 1282.05006
3
2013
Stability of the Prékopa-Leindler inequality for log-concave functions. Zbl 1472.26004
Böröczky, Károly J.; De, Apratim
3
2021
A new version of L. Fejes Tóth’s moment theorem. Zbl 1274.52003
Böröczky, Károly jun.; Csikós, Balázs
2
2010
The error of polytopal approximation with respect to the symmetric difference metric and the \(L_p\) metric. Zbl 0986.52004
Böröczky, Károly jun.
2
2000
Asymptotic shape of finite packings. Zbl 0913.52007
Böröczky, Károly jun.; Schnell, Uwe
2
1998
Some extremal properties of the regular simplex. Zbl 0830.52002
Böröczky, K. jun.
2
1994
Radii and the sausage conjecture. Zbl 0833.52004
Böröczky, Károly jun.; Henk, Martin
2
1995
About the error term for best approximation with respect to the Hausdorff related metrics. Zbl 0987.52004
Böröczky, K. jun.
2
2001
On the combinatorial characterization of quasicrystals. Zbl 1167.82367
Böröczky, Károly jun.; Réti, Tamás; Wintsche, Gergely
2
2006
On the smallest limited snake of unit disks. Zbl 0738.51010
Bisztriczky, Tibor; Böröczky, Karoly jun.; Harborth, Heiko; Piepmeyer, Lothar
2
1991
Finite sphere packings and critical radii. Zbl 0890.52009
Böröczky, K. jun.; Wills, J. M.
2
1997
Mean projections and finite packings of convex bodies. Zbl 0806.52018
Böröczky, Károly jun.
2
1994
Stability results for the volume of random simplices. Zbl 1301.52016
Ambrus, Gergely; Böröczky, Károly jun.
2
2014
\(12\)-neighbour packings of unit balls in \(\mathbb{E}^3\). Zbl 1363.52016
Böröczky, K.; Szabó, L.
2
2015
Convex bodies of constant width in spaces of constant curvature and the extremal area of Reuleaux triangles. Zbl 07644709
Böröczky, Károly; Sagmeister, Ádám
2
2022
Inexhaustible homogeneous structures. Zbl 0781.03018
Böröczky, K. jun.; Sauer, N.; Zhu, X.
1
1993
Stability of some inequalities for three-polyhedra. Zbl 1116.52004
Böröczky, Károly jun.; Fejes Tóth, Gábor
1
2002
Circumscribed simplices of minimal mean width. Zbl 1121.52007
Böröczky, Károly jun.; Schneider, Rolf
1
2007
Typical faces of best approximating three-polytopes. Zbl 1165.52007
Böröczky, Károly jun.; Tick, Péter; Wintsche, Gergely
1
2007
Remarks on the equality case of the Bonnesen inequality. Zbl 1259.52004
Böröczky, Károly jun.; Serra, Oriol
1
2012
Asymptotic formulae for the lattice point enumerator. Zbl 0948.11036
Betke, U.; Böröczky, K. jun.
1
1999
Wulff shape for nonperiodic arrangements. Zbl 0924.52006
Böröczky, Károly jun.; Schnell, Uwe
1
1998
Equality in László Fejes Tóth’s triangle bound for hyperbolic surfaces. Zbl 1299.51008
Bavard, Christophe; Böröczky, Károly jun.; Farkas, Borbála; Prok, István; Vena, Lluis; Wintsche, Gergely
1
2011
New trends in intuitive geometry. Zbl 1411.52002
1
2018
On generalized kissing numbers and blocking numbers. Zbl 0974.52003
Böröczky, K. jun.; Larman, D. G.; Sezgin, S.; Zong, C.
1
2000
Large finite lattice packings. Zbl 0988.52025
Arhelger, Volker; Betke, Ulrich; Böröczky, Károly jun.
1
2001
On periodically-cyclic Gale 4-polytopes. Zbl 0993.52002
Bisztriczky, T.; Böröczky, K. jun.
1
2001
Finite packing and covering by congruent convex domains. Zbl 1046.52014
Böröczky, Károly jun.
1
2003
The longest segment in the complement of a packing. Zbl 1054.52011
Böröczky, K. jun.; Tardos, G.
1
2002
A note on triangulations of sumsets. Zbl 1310.11014
Böröczky, Károly jun.; Hoffman, Benjamin
1
2015
Discrete point sets in the hyperbolic plane. Zbl 1012.52025
Böröczky, K. jun.
1
2002
Higher dimensional varieties and rational points. Lectures of the summer school and conference, Budapest, Hungary, September 3–21, 2001. Zbl 1015.00008
1
2003
The isoperimetric problem for 3-polytopes with six vertices. Zbl 1438.52018
Böröczky, Károly J.; Kovács, Ágnes
1
2018
The logarithmic Minkowski conjecture and the \(L_p\)-Minkowski problem. Zbl 1525.35156
Böröczky, Károly J.
1
2023
A reverse Minkowski-type inequality. Zbl 1447.52006
Böröczky, Károly J.; Hug, Daniel
1
2020
Triangulations and a discrete Brunn-Minkowski inequality in the plane. Zbl 1447.52002
Böröczky, Károly J.; Matolcsi, Máté; Ruzsa, Imre Z.; Santos, Francisco; Serra, Oriol
1
2020
Strengthened inequalities for the mean width and the \(\ell\)-norm. Zbl 1477.52012
Böröczky, Károly J.; Fodor, Ferenc; Hug, Daniel
1
2021
\(\mathcal T (5)\) families of overlapping disks. Zbl 1349.52005
Bisztriczky, T.; Böröczky, K.; Heppes, A.
1
2014
Strengthened volume inequalities for \(L_p\) zonoids of even isotropic measures. Zbl 1404.52010
Böröczky, Károly J.; Fodor, Ferenc; Hug, Daniel
1
2019
The logarithmic Minkowski conjecture and the \(L_p\)-Minkowski problem. Zbl 1525.35156
Böröczky, Károly J.
1
2023
Log-Brunn-Minkowski inequality under symmetry. Zbl 1504.52006
Böröczky, Károly J.; Kalantzopoulos, Pavlos
4
2022
Convex bodies of constant width in spaces of constant curvature and the extremal area of Reuleaux triangles. Zbl 07644709
Böröczky, Károly; Sagmeister, Ádám
2
2022
Dimension of the space of unitary equivariant translation invariant tensor valuations. Zbl 1472.52004
Böröczky, K. J.; Domokos, M.; Solanes, G.
3
2021
Stable solution of the Logarithmic Minkowski problem in the case of hyperplane symmetries. Zbl 1511.35204
Böröczky, Károly J.; De, Apratim
3
2021
Stability of the Prékopa-Leindler inequality for log-concave functions. Zbl 1472.26004
Böröczky, Károly J.; De, Apratim
3
2021
Strengthened inequalities for the mean width and the \(\ell\)-norm. Zbl 1477.52012
Böröczky, Károly J.; Fodor, Ferenc; Hug, Daniel
1
2021
The Gauss image problem. Zbl 1456.52002
Böröczky, Károly J.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong; Zhao, Yiming
13
2020
Smoothness in the \(L_p\) Minkowski problem for \(p<1\). Zbl 1445.52005
Bianchi, Gabriele; Böröczky, Károly J.; Colesanti, Andrea
13
2020
The isodiametric problem on the sphere and in the hyperbolic space. Zbl 1449.51025
Böröczky, K. J.; Sagmeister, Á.
5
2020
A reverse Minkowski-type inequality. Zbl 1447.52006
Böröczky, Károly J.; Hug, Daniel
1
2020
Triangulations and a discrete Brunn-Minkowski inequality in the plane. Zbl 1447.52002
Böröczky, Károly J.; Matolcsi, Máté; Ruzsa, Imre Z.; Santos, Francisco; Serra, Oriol
1
2020
The \(L_{p}\) dual Minkowski problem for \(p\) > 1 and \(q\) > 0. Zbl 1437.52002
Böröczky, Károly J.; Fodor, Ferenc
35
2019
The \(L_{p}\)-Minkowski problem for \(-n < p < 1\). Zbl 1406.52016
Bianchi, Gabriele; Böröczky, Károly J.; Colesanti, Andrea; Yang, Deane
33
2019
The dual Minkowski problem for symmetric convex bodies. Zbl 1427.52006
Böröczky, Károly J.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong; Zhao, Yiming
28
2019
Minkowski valuations on lattice polytopes. Zbl 1506.52016
Böröczky, Károly J.; Ludwig, Monika
16
2019
The Orlicz version of the \(L_p\) Minkowski problem for \(- n < p < 0\). Zbl 1428.52009
Bianchi, Gabriele; Böröczky, Károly J.; Colesanti, Andrea
10
2019
\(\mathrm{SL}(m, \mathbb{C})\)-equivariant and translation covariant continuous tensor valuations. Zbl 1431.52019
Abardia-Evéquoz, Judit; Böröczky, Károly J.; Domokos, Mátyás; Kertész, Dávid
5
2019
Strengthened volume inequalities for \(L_p\) zonoids of even isotropic measures. Zbl 1404.52010
Böröczky, Károly J.; Fodor, Ferenc; Hug, Daniel
1
2019
Subspace concentration of dual curvature measures of symmetric convex bodies. Zbl 1397.52005
Böröczky, Károly J.; Henk, Martin; Pollehn, Hannes
50
2018
New trends in intuitive geometry. Zbl 1411.52002
1
2018
The isoperimetric problem for 3-polytopes with six vertices. Zbl 1438.52018
Böröczky, Károly J.; Kovács, Ágnes
1
2018
The planar \(L_{p}\)-Minkowski problem for \(0<p<1\). Zbl 1376.52013
Böröczky, Károly J.; Trinh, Hai T.
29
2017
Cone-volume measure and stability. Zbl 1366.52007
Böröczky, Károly J.; Henk, Martin
12
2017
Valuations on lattice polytopes. Zbl 1376.52022
Böröczky, Károly J.; Ludwig, Monika
7
2017
Isotropic measures and stronger forms of the reverse isoperimetric inequality. Zbl 1373.52011
Böröczky, Károly J.; Hug, Daniel
5
2017
On the discrete logarithmic Minkowski problem. Zbl 1345.52002
Böröczky, Károly J.; Hegedus, Pál; Zhu, Guangxian
68
2016
Cone-volume measure of general centered convex bodies. Zbl 1334.52003
Böröczky, Károly J.; Henk, Martin
41
2016
Affine images of isotropic measures. Zbl 1325.28004
Böröczky, Károly jun.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
41
2015
The cone volume measure of antipodal points. Zbl 1363.52007
Böröczky, K. J.; Hegedűs, P.
13
2015
\(12\)-neighbour packings of unit balls in \(\mathbb{E}^3\). Zbl 1363.52016
Böröczky, K.; Szabó, L.
2
2015
A note on triangulations of sumsets. Zbl 1310.11014
Böröczky, Károly jun.; Hoffman, Benjamin
1
2015
Stability of the functional forms of the Blaschke-Santaló inequality. Zbl 1288.52003
Barthe, Franck; Böröczky, Károly jun.; Fradelizi, Matthieu
16
2014
On sumsets and convex hull. Zbl 1310.11015
Böröczky, Károly jun.; Santos, Francisco; Serra, Oriol
7
2014
Stability results for the volume of random simplices. Zbl 1301.52016
Ambrus, Gergely; Böröczky, Károly jun.
2
2014
\(\mathcal T (5)\) families of overlapping disks. Zbl 1349.52005
Bisztriczky, T.; Böröczky, K.; Heppes, A.
1
2014
The logarithmic Minkowski problem. Zbl 1272.52012
Böröczky, Károly jun.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
198
2013
Stronger versions of the Orlicz-Petty projection inequality. Zbl 1291.52012
Böröczky, Károly jun.
33
2013
On the volume product of planar polar convex bodies – lower estimates with stability. Zbl 1313.52007
Böröczky, K.; Makai, E. jun.; Meyer, M.; Reisner, S.
8
2013
Intrinsic volumes of random polytopes with vertices on the boundary of a convex body. Zbl 1271.52004
Böröczky, Károly jun.; Fodor, Ferenc; Hug, Daniel
7
2013
Geometry – intuitive, discrete, and convex. A tribute to László Fejes Tóth. Zbl 1282.05006
3
2013
The log-Brunn-Minkowski inequality. Zbl 1258.52005
Böröczky, Károly jun.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
163
2012
On the cardinality of sumsets in torsion-free groups. Zbl 1258.20025
Böröczky, Károly jun.; Pálfy, Péter P.; Serra, Oriol
5
2012
Remarks on the equality case of the Bonnesen inequality. Zbl 1259.52004
Böröczky, Károly jun.; Serra, Oriol
1
2012
Stability of some versions of the Prékopa-Leindler inequality. Zbl 1217.60014
Ball, Keith M.; Böröczky, Károly J.
16
2011
Equality in László Fejes Tóth’s triangle bound for hyperbolic surfaces. Zbl 1299.51008
Bavard, Christophe; Böröczky, Károly jun.; Farkas, Borbála; Prok, István; Vena, Lluis; Wintsche, Gergely
1
2011
Stability of the Blaschke-Santaló and the affine isoperimetric inequality. Zbl 1216.52007
Böröczky, Károly jun.
17
2010
Stability of the Prékopa-Leindler inequality. Zbl 1205.39024
Ball, Keith M.; Böröczky, Károly jun.
16
2010
The mean width of circumscribed random polytopes. Zbl 1209.52005
Böröczky, Károly jun.; Schneider, Rolf
13
2010
The mean width of random polytopes circumscribed around a convex body. Zbl 1191.52003
Böröczky, Károly jun.; Fodor, Ferenc; Hug, Daniel
10
2010
Stability of the reverse Blaschke-Santaló inequality for zonoids and applications. Zbl 1191.52002
Böröczky, Károly jun.; Hug, Daniel
9
2010
A new version of L. Fejes Tóth’s moment theorem. Zbl 1274.52003
Böröczky, Károly jun.; Csikós, Balázs
2
2010
Mean width of random polytopes in a reasonably smooth convex body. Zbl 1221.52008
Böröczky, K. jun.; Fodor, F.; Reitzner, M.; Vígh, V.
10
2009
Stable determination of convex bodies from sections. Zbl 1224.52008
Böröczky, Károly jun.; Schneider, Rolf
4
2009
Approximation of smooth convex bodies by circumscribed polytopes with respect to the surface area. Zbl 1183.52007
Böröczky, Károly jun.; Csikós, Balázs
3
2009
A characterization of the duality mapping for convex bodies. Zbl 1168.52002
Böröczky, Károly jun.; Schneider, Rolf
25
2008
Expectation of intrinsic volumes of random polytopes. Zbl 1265.52004
Böröczky, Károly jun.; Hoffmann, Lars Michael; Hug, Daniel
9
2008
Approximating \(3\)-dimensional convex bodies by polytopes with a restricted number of edges. Zbl 1147.52002
Böröczky, K. jun.; Fodor, F.; Vígh, V.
3
2008
Note on an inequality of Wegner. Zbl 1117.52020
Boroczky, Karoly jun.; Ruzsa, Imre Z.
4
2007
Circumscribed simplices of minimal mean width. Zbl 1121.52007
Böröczky, Károly jun.; Schneider, Rolf
1
2007
Typical faces of best approximating three-polytopes. Zbl 1165.52007
Böröczky, Károly jun.; Tick, Péter; Wintsche, Gergely
1
2007
Planar crossing numbers of graphs embeddable in another surface. Zbl 1100.68075
Böröczky, Károly jun.; Pach, János; Tóth, Géza
4
2006
Covering the crosspolytope by equal balls. Zbl 1127.52027
Böröczky, Károly jun.; Fábián, Ildikó; Wintsche, Gergely
4
2006
On the combinatorial characterization of quasicrystals. Zbl 1167.82367
Böröczky, Károly jun.; Réti, Tamás; Wintsche, Gergely
2
2006
The stability of the Rogers-Shephard inequality and of some related inequalities. Zbl 1063.52002
Böröczky, Károly jun.
12
2005
On antipodal \(3\)-polytopes. Zbl 1113.52007
Bisztriczky, Tibor; Böröczky, Károly
3
2005
Finite packing and covering. Zbl 1061.52011
Böröczky, Károly jun.
47
2004
Approximation of smooth convex bodies by random circumscribed polytopes. Zbl 1049.60009
Böröczky, Károly jun.; Reitzner, Matthias
15
2004
Covering the sphere by equal spherical balls. Zbl 1077.52513
Böröczky, Károly jun.; Wintsche, Gergely
15
2003
Optimizing area and perimeter of convex sets for fixed circumradius and inradius. Zbl 1022.52004
Böröczky, Károly jun.; Salinas, G.
8
2003
Finite packing and covering by congruent convex domains. Zbl 1046.52014
Böröczky, Károly jun.
1
2003
Higher dimensional varieties and rational points. Lectures of the summer school and conference, Budapest, Hungary, September 3–21, 2001. Zbl 1015.00008
1
2003
Stability of some inequalities for three-polyhedra. Zbl 1116.52004
Böröczky, Károly jun.; Fejes Tóth, Gábor
1
2002
The longest segment in the complement of a packing. Zbl 1054.52011
Böröczky, K. jun.; Tardos, G.
1
2002
Discrete point sets in the hyperbolic plane. Zbl 1012.52025
Böröczky, K. jun.
1
2002
About the centroid body and the ellipsoid of inertia. Zbl 1037.52007
Bisztriczky, T.; Böröczky, K. jun.
4
2001
About the error term for best approximation with respect to the Hausdorff related metrics. Zbl 0987.52004
Böröczky, K. jun.
2
2001
Large finite lattice packings. Zbl 0988.52025
Arhelger, Volker; Betke, Ulrich; Böröczky, Károly jun.
1
2001
On periodically-cyclic Gale 4-polytopes. Zbl 0993.52002
Bisztriczky, T.; Böröczky, K. jun.
1
2001
Approximation of general smooth convex bodies. Zbl 0964.52010
Böröczky, Károly jun.
22
2000
Polytopal approximation bounding the number of \(k\)-faces. Zbl 0974.52006
Böröczky, Károly jun.
15
2000
The error of polytopal approximation with respect to the symmetric difference metric and the \(L_p\) metric. Zbl 0986.52004
Böröczky, Károly jun.
2
2000
On generalized kissing numbers and blocking numbers. Zbl 0974.52003
Böröczky, K. jun.; Larman, D. G.; Sezgin, S.; Zong, C.
1
2000
Random projections of regular polytopes. Zbl 0949.52001
Böröczky, Károly jun.; Henk, Martin
15
1999
Approximation of convex bodies and a momentum lemma for power diagrams. Zbl 0933.52023
Böröczky, Károly jun.; Ludwig, Monika
8
1999
Asymptotic formulae for the lattice point enumerator. Zbl 0948.11036
Betke, U.; Böröczky, K. jun.
1
1999
Asymptotic shape of finite packings. Zbl 0913.52007
Böröczky, Károly jun.; Schnell, Uwe
2
1998
Wulff shape for nonperiodic arrangements. Zbl 0924.52006
Böröczky, Károly jun.; Schnell, Uwe
1
1998
Finite sphere packings and critical radii. Zbl 0890.52009
Böröczky, K. jun.; Wills, J. M.
2
1997
Around the Rogers-Shepard inequality. Zbl 0851.52011
Böröczky, Károly jun.
3
1996
Isoperimetric problems for polytopes with a given number of vertices. Zbl 0878.52006
Böröczky, Károly; Böröczky, Károly jun.
3
1996
Smallest maximal snakes of translates of convex domains. Zbl 0841.52010
Böröczky, Károly jun.; Soltan, Valeriu
3
1995
Radii and the sausage conjecture. Zbl 0833.52004
Böröczky, Károly jun.; Henk, Martin
2
1995
Some extremal properties of the regular simplex. Zbl 0830.52002
Böröczky, K. jun.
2
1994
Mean projections and finite packings of convex bodies. Zbl 0806.52018
Böröczky, Károly jun.
2
1994
Inexhaustible homogeneous structures. Zbl 0781.03018
Böröczky, K. jun.; Sauer, N.; Zhu, X.
1
1993
On the smallest limited snake of unit disks. Zbl 0738.51010
Bisztriczky, Tibor; Böröczky, Karoly jun.; Harborth, Heiko; Piepmeyer, Lothar
2
1991
Rectangular convexity of convex domains of constant width. Zbl 0694.52001
Böröczky, K. jun.
4
1990
all top 5

Cited by 608 Authors

38 Böröczky, Karoly jun.
21 Xiong, Ge
18 Werner, Elisabeth M.
14 Hug, Daniel
13 Zhou, Jiazu
12 Fodor, Ferenc
12 Ye, Deping
11 Li, Qirui
11 Milman, Vitali D.
11 Thäle, Christoph
10 Colesanti, Andrea
10 Ivaki, Mohammad N.
10 Lu, Jian
10 Rotem, Liran
9 Henk, Martin
9 Ludwig, Monika
9 Xi, Dongmeng
9 Yang, Yunlong
8 Artstein-Avidan, Shiri
8 Fang, Niufa
8 Feng, Yibin
8 Huang, Yong
8 Lin, Youjiang
8 Schütt, Carsten
8 Zhao, Changjian
7 Chen, Fangwei
7 Chen, Shibing
7 Leng, Gangsong
7 Schneider, Rolf G.
7 Vígh, Viktor
7 Wang, Hejun
7 Xing, Sudan
7 Yang, Congli
6 González Merino, Bernardo
6 Livshyts, Galyna V.
6 Martini, Horst
6 Saff, Edward Barry
6 Saroglou, Christos
6 Slomka, Boaz A.
6 Wang, Weidong
6 Wu, Di
6 Yang, Deane
6 Zhang, Gaoyong
6 Zhang, Zengle
6 Zhao, Yiming
6 Zhu, Guangxian
6 Zvavitch, Artem
5 Besau, Florian
5 Brandenberg, René
5 Chen, Li
5 Hardin, Douglas P.
5 Jian, Huai-Yu
5 Jin, Hailin
5 Kabluchko, Zakhar A.
5 Liu, Yannan
5 Luo, Miao
5 Marsiglietti, Arnaud
5 Naszódi, Márton
5 Reitzner, Matthias
5 Wang, Xu-Jia
5 Wu, Denghui
5 Wu, Yuchi
5 Xiang, Ni
5 Xiao, Jie
5 Xiong, Jiawei
5 Xu, Lu
5 Yepes Nicolás, Jesús
5 Yijing, Sun
5 Zhang, Deyan
5 Zhu, Baocheng
5 Zou, Du
4 Bezdek, Károly
4 Bianchi, Gabriele
4 Chen, Zhengmao
4 Fradelizi, Matthieu
4 Haberl, Christoph
4 Januszewski, Janusz
4 Jiang, Yongsheng
4 Lángi, Zsolt
4 Li, Aijun
4 Li, Chao
4 Salani, Paolo
4 Schuster, Franz E.
4 Sun, Qiang
4 Swanepoel, Konrad J.
4 Tu, Qiang
4 Wang, Wei
4 Yuan, Liping
4 Zamfirescu, Tudor I.
4 Zhou, Yanping
3 Abardia-Evéquoz, Judit
3 Arya, Sunil
3 Bisztriczky, Tibor
3 Bondarenko, Andriy V.
3 Borodachov, Sergiy V.
3 Bryan, Paul
3 Chen, ChuanQiang
3 Cohn, Henry Lee
3 Cordero-Erausquin, Dario
3 da Fonseca, Guilherme Dias
...and 508 more Authors
all top 5

Cited in 171 Serials

58 Advances in Mathematics
29 Discrete & Computational Geometry
25 Journal of Functional Analysis
25 Proceedings of the American Mathematical Society
24 Advances in Applied Mathematics
22 The Journal of Geometric Analysis
21 Journal of Mathematical Analysis and Applications
19 Transactions of the American Mathematical Society
19 Calculus of Variations and Partial Differential Equations
15 Mathematika
14 Geometriae Dedicata
12 Monatshefte für Mathematik
10 Journal of Inequalities and Applications
9 Journal of Differential Equations
9 Science China. Mathematics
8 Mathematische Annalen
7 Advances in Geometry
6 Acta Mathematica Hungarica
6 Journal of Convex Analysis
5 Advances in Applied Probability
5 Discrete Mathematics
5 Israel Journal of Mathematics
5 Periodica Mathematica Hungarica
5 European Journal of Combinatorics
5 Mathematical Inequalities & Applications
5 Communications in Contemporary Mathematics
4 Indiana University Mathematics Journal
4 Journal of Geometry
4 Mathematische Zeitschrift
4 Journal of the American Mathematical Society
4 SIAM Journal on Discrete Mathematics
4 Bernoulli
4 Advanced Nonlinear Studies
4 Journal of Function Spaces
3 Bulletin of the Australian Mathematical Society
3 The Mathematical Intelligencer
3 Beiträge zur Algebra und Geometrie
3 Bulletin of the London Mathematical Society
3 Canadian Mathematical Bulletin
3 Journal of Applied Probability
3 Journal of Approximation Theory
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 International Journal of Mathematics
3 Computational Mathematics and Mathematical Physics
3 Discrete and Continuous Dynamical Systems
3 Journal of the European Mathematical Society (JEMS)
3 Acta Mathematica Sinica. English Series
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Mediterranean Journal of Mathematics
3 Journal of Mathematical Inequalities
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Open Mathematics
2 The Annals of Probability
2 Duke Mathematical Journal
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Nachrichten
2 Results in Mathematics
2 Statistics & Probability Letters
2 Probability Theory and Related Fields
2 Journal of Complexity
2 The Annals of Applied Probability
2 Geometric and Functional Analysis. GAFA
2 Aequationes Mathematicae
2 Elemente der Mathematik
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Expositiones Mathematicae
2 SIAM Journal on Optimization
2 Experimental Mathematics
2 Potential Analysis
2 Journal of Mathematical Sciences (New York)
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Documenta Mathematica
2 Journal of Algebra and its Applications
2 Discrete and Continuous Dynamical Systems. Series S
2 Analysis & PDE
2 International Journal of Group Theory
1 American Mathematical Monthly
1 Applicable Analysis
1 Communications in Mathematical Physics
1 Journal d’Analyse Mathématique
1 Mathematical Notes
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Mathematics of Computation
1 Journal of Geometry and Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 ACM Transactions on Mathematical Software
1 Acta Mathematica
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Statistics
1 Applied Mathematics and Optimization
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Demonstratio Mathematica
1 Hiroshima Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Combinatorial Theory. Series A
...and 71 more Serials
all top 5

Cited in 47 Fields

504 Convex and discrete geometry (52-XX)
73 Partial differential equations (35-XX)
66 Probability theory and stochastic processes (60-XX)
65 Differential geometry (53-XX)
42 Real functions (26-XX)
33 Functional analysis (46-XX)
29 Measure and integration (28-XX)
28 Combinatorics (05-XX)
22 Geometry (51-XX)
20 Number theory (11-XX)
20 Calculus of variations and optimal control; optimization (49-XX)
18 Potential theory (31-XX)
16 Operations research, mathematical programming (90-XX)
14 Computer science (68-XX)
12 Information and communication theory, circuits (94-XX)
11 Numerical analysis (65-XX)
10 Group theory and generalizations (20-XX)
9 Ordinary differential equations (34-XX)
9 Operator theory (47-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Statistics (62-XX)
8 Approximations and expansions (41-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Functions of a complex variable (30-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Difference and functional equations (39-XX)
3 Commutative algebra (13-XX)
3 Algebraic geometry (14-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Integral transforms, operational calculus (44-XX)
2 General topology (54-XX)
2 Manifolds and cell complexes (57-XX)
2 Optics, electromagnetic theory (78-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Associative rings and algebras (16-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Algebraic topology (55-XX)
1 Mechanics of particles and systems (70-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year

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