Edit Profile (opens in new tab) Borell, Christer Compute Distance To: Compute Author ID: borell.christer Published as: Borell, Christer; Borell, C. Homepage: https://www.chalmers.se/en/Staff/Pages/christer-borell.aspx External Links: MGP Documents Indexed: 44 Publications since 1973, including 4 Books 1 Further Contribution Co-Authors: 1 Co-Author with 1 Joint Publication 173 Co-Co-Authors Co-Authors 43 single-authored 1 Essén, Matts Raguel 1 Janson, Svante all top 5 Serials 4 Mathematische Annalen 3 Probability Theory and Related Fields 2 Journal of Mathematical Analysis and Applications 2 Periodica Mathematica Hungarica 2 Arkiv för Matematik 2 Inventiones Mathematicae 2 Mathematica Scandinavica 1 Communications in Mathematical Physics 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Probability and Mathematical Statistics 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Potential Analysis 1 Mathematical Finance 1 Extremes 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Lecture Notes in Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics all top 5 Fields 31 Probability theory and stochastic processes (60-XX) 7 Real functions (26-XX) 6 Potential theory (31-XX) 5 Measure and integration (28-XX) 4 Functional analysis (46-XX) 3 Partial differential equations (35-XX) 3 Convex and discrete geometry (52-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 874 times in 654 Documents Cited by ▼ Year ▼ The Brunn-Minkowski inequality in Gauss space. Zbl 0292.60004Borell, Christer 193 1975 Convex measures on locally convex spaces. Zbl 0297.60004Borell, Christer 144 1974 Convex set functions in \(d\)-space. Zbl 0274.28009Borell, C. 69 1975 Convex set functions in d-space. Zbl 0307.28009Borell, Christer 62 1975 Capacitary inequalities of the Brunn-Minkowski type. Zbl 0546.31001Borell, Christer 55 1983 The Ehrhard inequality. Zbl 1031.60013Borell, Christer 33 2003 Gaussian Radon measures on locally convex spaces. Zbl 0335.28009Borell, Christer 30 1976 Hitting probabilities of killed Brownian motion: A study on geometric regularity. Zbl 0573.60067Borell, Christer 28 1984 Diffusion equations and geometric inequalities. Zbl 0976.60065Borell, Christer 28 2000 Geometric bounds on the Ornstein-Uhlenbeck velocity process. Zbl 0537.60084Borell, Christer 25 1985 Greenian potentials and concavity. Zbl 0584.31003Borell, Christer 22 1985 Positivity improving operators and hypercontractivity. Zbl 0472.47015Borell, Christer 22 1982 Complements of Lyapunov’s inequality. Zbl 0248.26011Borell, Christer 22 1973 Brownian motion in a convex ring and quasi-concavity. Zbl 0516.60084Borell, Christer 19 1982 On polynomial chaos and integrability. Zbl 0555.60008Borell, Christer 18 1982 A note on Gauss measures which agree on small balls. Zbl 0385.60007Borell, Christer 15 1977 A note on parabolic convexity and heat conduction. Zbl 0854.60058Borell, Christer 11 1996 Integral inequalities for generalized concave or convex functions. Zbl 0265.26012Borell, Christer 7 1973 Random linear functionals and subspaces of probability one. Zbl 0331.60008Borell, Christer 7 1976 Convexity of measures in certain convex cones in vector space \(\sigma\)- algebras. Zbl 0568.46007Borell, Christer 6 1983 Tail probabilities in Gauss space. Zbl 0397.60015Borell, Christer 6 1978 Inverse Hölder inequalities in one and several dimensions. Zbl 0249.26015Borell, Christer 6 1973 On the integrability of Banach space valued Walsh polynomials. Zbl 0413.60002Borell, Christer 5 1979 A Gaussian correlation inequality for certain bodies in \(R^ n\). Zbl 0451.60018Borell, Christer 5 1981 Inequalities of the Brunn-Minkowski type for Gaussian measures. Zbl 1137.60004Borell, Christer 5 2008 Minkowski sums and Brownian exit times. Zbl 1148.60062Borell, Christer 5 2007 The cos \(\pi\lambda\) theorem. With a paper by Christopher Borell. Zbl 0335.31001Essen, Matts R. 5 1975 Geometric inequalities in option pricing. Zbl 1050.91036Borell, Christer 4 1999 Geometric properties of some familiar diffusions in \({\mathbb{R}{}}^ n\). Zbl 0776.35024Borell, Christer 3 1993 Zonoids induced by Gauss measure with an application to risk aversion. Zbl 1172.60302Borell, Christer 3 2009 Monotonicity properties of optimal investment strategies for log-Brownian asset prices. Zbl 1278.91128Borell, Christer 3 2007 On certain exponential regularity for Gaussian processes. Zbl 1164.60321Borell, Christer 2 2006 Convexity in Gauss space. Zbl 0515.60010Borell, C. 2 1981 Intrinsic bounds on some real-valued stationary random functions. Zbl 0607.60067Borell, Christer 2 1985 A note on an inequality for rearrangements. Zbl 0273.26009Borell, Christer 1 1973 Real polynomial chaos and absolute continuity. Zbl 0617.60036Borell, Christer 1 1988 Analytic and empirical evidences of isoperimetric processes. Zbl 0695.60052Borell, Christer 1 1990 Capacitary inequalities of the Brunn-Minkowski type. Zbl 0493.31005Borell, Christer 1 1982 Approximation on locally convex spaces. Zbl 0315.46032Borell, Christer 1 1976 Converse hypercontractivity. Zbl 0589.60067Borell, Christer; Janson, Svante 1 1982 A note on conditional probabilities of a convex measure. Zbl 0397.60014Borell, Christer 1 1978 Zonoids induced by Gauss measure with an application to risk aversion. Zbl 1172.60302Borell, Christer 3 2009 Inequalities of the Brunn-Minkowski type for Gaussian measures. Zbl 1137.60004Borell, Christer 5 2008 Minkowski sums and Brownian exit times. Zbl 1148.60062Borell, Christer 5 2007 Monotonicity properties of optimal investment strategies for log-Brownian asset prices. Zbl 1278.91128Borell, Christer 3 2007 On certain exponential regularity for Gaussian processes. Zbl 1164.60321Borell, Christer 2 2006 The Ehrhard inequality. Zbl 1031.60013Borell, Christer 33 2003 Diffusion equations and geometric inequalities. Zbl 0976.60065Borell, Christer 28 2000 Geometric inequalities in option pricing. Zbl 1050.91036Borell, Christer 4 1999 A note on parabolic convexity and heat conduction. Zbl 0854.60058Borell, Christer 11 1996 Geometric properties of some familiar diffusions in \({\mathbb{R}{}}^ n\). Zbl 0776.35024Borell, Christer 3 1993 Analytic and empirical evidences of isoperimetric processes. Zbl 0695.60052Borell, Christer 1 1990 Real polynomial chaos and absolute continuity. Zbl 0617.60036Borell, Christer 1 1988 Geometric bounds on the Ornstein-Uhlenbeck velocity process. Zbl 0537.60084Borell, Christer 25 1985 Greenian potentials and concavity. Zbl 0584.31003Borell, Christer 22 1985 Intrinsic bounds on some real-valued stationary random functions. Zbl 0607.60067Borell, Christer 2 1985 Hitting probabilities of killed Brownian motion: A study on geometric regularity. Zbl 0573.60067Borell, Christer 28 1984 Capacitary inequalities of the Brunn-Minkowski type. Zbl 0546.31001Borell, Christer 55 1983 Convexity of measures in certain convex cones in vector space \(\sigma\)- algebras. Zbl 0568.46007Borell, Christer 6 1983 Positivity improving operators and hypercontractivity. Zbl 0472.47015Borell, Christer 22 1982 Brownian motion in a convex ring and quasi-concavity. Zbl 0516.60084Borell, Christer 19 1982 On polynomial chaos and integrability. Zbl 0555.60008Borell, Christer 18 1982 Capacitary inequalities of the Brunn-Minkowski type. Zbl 0493.31005Borell, Christer 1 1982 Converse hypercontractivity. Zbl 0589.60067Borell, Christer; Janson, Svante 1 1982 A Gaussian correlation inequality for certain bodies in \(R^ n\). Zbl 0451.60018Borell, Christer 5 1981 Convexity in Gauss space. Zbl 0515.60010Borell, C. 2 1981 On the integrability of Banach space valued Walsh polynomials. Zbl 0413.60002Borell, Christer 5 1979 Tail probabilities in Gauss space. Zbl 0397.60015Borell, Christer 6 1978 A note on conditional probabilities of a convex measure. Zbl 0397.60014Borell, Christer 1 1978 A note on Gauss measures which agree on small balls. Zbl 0385.60007Borell, Christer 15 1977 Gaussian Radon measures on locally convex spaces. Zbl 0335.28009Borell, Christer 30 1976 Random linear functionals and subspaces of probability one. Zbl 0331.60008Borell, Christer 7 1976 Approximation on locally convex spaces. Zbl 0315.46032Borell, Christer 1 1976 The Brunn-Minkowski inequality in Gauss space. Zbl 0292.60004Borell, Christer 193 1975 Convex set functions in \(d\)-space. Zbl 0274.28009Borell, C. 69 1975 Convex set functions in d-space. Zbl 0307.28009Borell, Christer 62 1975 The cos \(\pi\lambda\) theorem. With a paper by Christopher Borell. Zbl 0335.31001Essen, Matts R. 5 1975 Convex measures on locally convex spaces. Zbl 0297.60004Borell, Christer 144 1974 Complements of Lyapunov’s inequality. Zbl 0248.26011Borell, Christer 22 1973 Integral inequalities for generalized concave or convex functions. Zbl 0265.26012Borell, Christer 7 1973 Inverse Hölder inequalities in one and several dimensions. Zbl 0249.26015Borell, Christer 6 1973 A note on an inequality for rearrangements. Zbl 0273.26009Borell, Christer 1 1973 all cited Publications top 5 cited Publications all top 5 Cited by 666 Authors 17 Borell, Christer 17 Salani, Paolo 16 Bobkov, Sergey Germanovich 15 Milman, Emanuel 15 Mossel, Elchanan 15 Paouris, Grigoris 10 Barthe, Franck 10 Guédon, Olivier 9 Liu, Jingchen 8 Fradelizi, Matthieu 8 Kolesnikov, Alexander V. 8 Latała, Rafał 7 Bogachev, Vladimir Igorevich 7 Chiacchio, Francesco 7 Colesanti, Andrea 7 Gwynne, Ewain 7 Klartag, Bo’az 7 Livshyts, Galyna V. 7 Marsiglietti, Arnaud 7 Talagrand, Michel 6 Adamczak, Radosław 6 Brock, Friedemann 6 Cordero-Erausquin, Dario 6 Fragalà, Ilaria 6 Kosov, Egor D. 6 Madiman, Mokshay M. 6 Wellner, Jon August 6 Xu, Gongjun 6 Yepes Nicolás, Jesús 5 Chen, ChuanQiang 5 Ding, Jian 5 Martín, Joaquim 5 Mercaldo, Anna 5 Neeman, Joe 5 Pick, Luboš 5 Roberto, Cyril 5 Xiao, Jie 5 Zvavitch, Artem 4 Alonso-Gutiérrez, David 4 Arutyunyan, Lavrentin Martunovich 4 Bentkus, Vidmants-Kastytis 4 Cianchi, Andrea 4 El-Nouty, Charles 4 Gardner, Richard J. 4 Giannopoulos, Apostolos A. 4 Götze, Friedrich 4 Heilman, Steven M. 4 Ishige, Kazuhiro 4 Karlin, Samuel 4 Keller, Nathan 4 Kulczycki, Tadeusz 4 Ledoux, Michel 4 Litvak, Aleksandr Evgen’evich 4 Maggi, Francesco 4 Milman, Mario Marcos 4 Pajor, Alain 4 Rotem, Liran 4 Valettas, Petros 4 Wang, Wei 4 Weinkove, Ben 4 Xiong, Ge 3 Ambrosio, Luigi 3 Artstein-Avidan, Shiri 3 Bañuelos, Rodrigo 3 Bennett, Jonathan M. 3 Bez, Neal 3 Böröczky, Karoly jun. 3 Eldan, Ronen 3 Feo, Filomena 3 Fleury, Bernard Henri 3 Gozlan, Nathael 3 Hosle, Johannes 3 Hwang, Kyo-Shin 3 Jerison, David S. 3 Kibzun, Andreĭ Ivanovich 3 Koldobsky, Alexander L. 3 Le, Huiling 3 Leng, Gangsong 3 Li, Jiange 3 Li, Xiaoou 3 Lifshits, Mikhail A. 3 Mares, Vlad 3 Melbourne, James 3 Merino, Bernardo González 3 Milman, Vitali D. 3 Nourdin, Ivan 3 Pivovarov, Peter 3 Posteraro, Maria Rosaria 3 Pratelli, Aldo 3 Samson, Paul-Marie 3 Sen, Arnab 3 Strzelecka, Marta 3 Swinkels, Jeroen M. 3 Tikhomirov, Konstantin E. 3 Tomczak-Jaegermann, Nicole 3 van Handel, Ramon 3 Werner, Elisabeth M. 3 Wolff, Paweł 3 Woźniakowski, Henryk 3 Xiong, Jiawei ...and 566 more Authors all top 5 Cited in 187 Serials 36 Journal of Functional Analysis 34 Advances in Mathematics 33 Probability Theory and Related Fields 18 Journal of Mathematical Analysis and Applications 17 Proceedings of the American Mathematical Society 16 The Annals of Probability 15 The Journal of Geometric Analysis 13 Stochastic Processes and their Applications 12 Journal of Theoretical Probability 11 Mathematische Annalen 11 Transactions of the American Mathematical Society 11 Calculus of Variations and Partial Differential Equations 11 Journal of Mathematical Sciences (New York) 10 Journal of Multivariate Analysis 10 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 9 Geometriae Dedicata 8 Communications in Mathematical Physics 8 Israel Journal of Mathematics 8 The Annals of Statistics 8 Journal of Complexity 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Journal of the European Mathematical Society (JEMS) 6 Advances in Applied Mathematics 6 Statistics & Probability Letters 6 Potential Analysis 5 Inventiones Mathematicae 5 Journal of Statistical Planning and Inference 5 Mathematika 5 Memoirs of the American Mathematical Society 5 The Annals of Applied Probability 5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Doklady Mathematics 5 Electronic Journal of Statistics 4 Applicable Analysis 4 Journal d’Analyse Mathématique 4 Lithuanian Mathematical Journal 4 Mathematical Notes 4 Journal of Applied Probability 4 Mathematische Nachrichten 4 Discrete & Computational Geometry 4 Geometric and Functional Analysis. GAFA 4 Bulletin of the American Mathematical Society. New Series 4 Discrete and Continuous Dynamical Systems 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 Acta Mathematica Sinica. English Series 3 Arkiv för Matematik 3 Mathematische Zeitschrift 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Probability and Mathematical Statistics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Revista Matemática Iberoamericana 3 Automation and Remote Control 3 Electronic Journal of Probability 3 Bernoulli 3 Positivity 3 Communications in Contemporary Mathematics 3 Advances in Geometry 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Advances in Applied Probability 2 Computers & Mathematics with Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Studia Mathematica 2 Duke Mathematical Journal 2 Journal of Approximation Theory 2 Journal of Combinatorial Theory. Series A 2 Journal of Differential Equations 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematics of Operations Research 2 Results in Mathematics 2 Stochastic Analysis and Applications 2 Physica D 2 Journal of the American Mathematical Society 2 SIAM Journal on Discrete Mathematics 2 European Journal of Operational Research 2 Journal of Convex Analysis 2 Bulletin des Sciences Mathématiques 2 Journal of Shanghai University 2 Extremes 2 Annals of Mathematics. Second Series 2 Stochastic Models 2 Advances in Calculus of Variations 2 Statistics Surveys 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Analysis and Mathematical Physics 2 Bulletin of Mathematical Sciences 2 Analysis and Geometry in Metric Spaces 2 SIAM/ASA Journal on Uncertainty Quantification 2 Discrete Analysis 1 Archive for Rational Mechanics and Analysis 1 Discrete Applied Mathematics 1 Inverse Problems 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Theory of Probability and its Applications ...and 87 more Serials all top 5 Cited in 41 Fields 322 Probability theory and stochastic processes (60-XX) 169 Convex and discrete geometry (52-XX) 92 Partial differential equations (35-XX) 82 Functional analysis (46-XX) 79 Real functions (26-XX) 75 Measure and integration (28-XX) 56 Statistics (62-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 42 Differential geometry (53-XX) 26 Potential theory (31-XX) 25 Operator theory (47-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Difference and functional equations (39-XX) 17 Combinatorics (05-XX) 16 Numerical analysis (65-XX) 14 Computer science (68-XX) 14 Operations research, mathematical programming (90-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Information and communication theory, circuits (94-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Approximations and expansions (41-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Quantum theory (81-XX) 7 Systems theory; control (93-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Integral transforms, operational calculus (44-XX) 5 Several complex variables and analytic spaces (32-XX) 3 Number theory (11-XX) 3 Geometry (51-XX) 3 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Citations by Year