Edit Profile (opens in new tab) Böröczky, Karoly jun. Co-Author Distance Author ID: boroczky.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. more...less Homepage: http://www.renyi.hu/~carlos/carlospub.html External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 134 Publications since 1990, including 1 Book and 11 Additional arXiv Preprints 7 Contributions as Editor · 1 Further Contribution Co-Authors: 87 Co-Authors with 118 Joint Publications 2,168 Co-Co-Authors 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 all top 5 Fields 129 Convex and discrete geometry (52-XX) 10 Probability theory and stochastic processes (60-XX) 9 Number theory (11-XX) 7 General and overarching topics; collections (00-XX) 7 Partial differential equations (35-XX) 6 Combinatorics (05-XX) 5 Real functions (26-XX) 5 Geometry (51-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 History and biography (01-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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