## Borell, Christer

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 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
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### 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
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### 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)

### 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 0292.60004
Borell, Christer
1975
Convex measures on locally convex spaces. Zbl 0297.60004
Borell, Christer
1974
Convex set functions in $$d$$-space. Zbl 0274.28009
Borell, C.
1975
Convex set functions in d-space. Zbl 0307.28009
Borell, Christer
1975
Capacitary inequalities of the Brunn-Minkowski type. Zbl 0546.31001
Borell, Christer
1983
The Ehrhard inequality. Zbl 1031.60013
Borell, Christer
2003
Gaussian Radon measures on locally convex spaces. Zbl 0335.28009
Borell, Christer
1976
Hitting probabilities of killed Brownian motion: A study on geometric regularity. Zbl 0573.60067
Borell, Christer
1984
Diffusion equations and geometric inequalities. Zbl 0976.60065
Borell, Christer
2000
Geometric bounds on the Ornstein-Uhlenbeck velocity process. Zbl 0537.60084
Borell, Christer
1985
Greenian potentials and concavity. Zbl 0584.31003
Borell, Christer
1985
Positivity improving operators and hypercontractivity. Zbl 0472.47015
Borell, Christer
1982
Complements of Lyapunov’s inequality. Zbl 0248.26011
Borell, Christer
1973
Brownian motion in a convex ring and quasi-concavity. Zbl 0516.60084
Borell, Christer
1982
On polynomial chaos and integrability. Zbl 0555.60008
Borell, Christer
1982
A note on Gauss measures which agree on small balls. Zbl 0385.60007
Borell, Christer
1977
A note on parabolic convexity and heat conduction. Zbl 0854.60058
Borell, Christer
1996
Integral inequalities for generalized concave or convex functions. Zbl 0265.26012
Borell, Christer
1973
Random linear functionals and subspaces of probability one. Zbl 0331.60008
Borell, Christer
1976
Convexity of measures in certain convex cones in vector space $$\sigma$$- algebras. Zbl 0568.46007
Borell, Christer
1983
Tail probabilities in Gauss space. Zbl 0397.60015
Borell, Christer
1978
Inverse Hölder inequalities in one and several dimensions. Zbl 0249.26015
Borell, Christer
1973
On the integrability of Banach space valued Walsh polynomials. Zbl 0413.60002
Borell, Christer
1979
A Gaussian correlation inequality for certain bodies in $$R^ n$$. Zbl 0451.60018
Borell, Christer
1981
Inequalities of the Brunn-Minkowski type for Gaussian measures. Zbl 1137.60004
Borell, Christer
2008
Minkowski sums and Brownian exit times. Zbl 1148.60062
Borell, Christer
2007
The cos $$\pi\lambda$$ theorem. With a paper by Christopher Borell. Zbl 0335.31001
Essen, Matts R.
1975
Geometric inequalities in option pricing. Zbl 1050.91036
Borell, Christer
1999
Geometric properties of some familiar diffusions in $${\mathbb{R}{}}^ n$$. Zbl 0776.35024
Borell, Christer
1993
Zonoids induced by Gauss measure with an application to risk aversion. Zbl 1172.60302
Borell, Christer
2009
Monotonicity properties of optimal investment strategies for log-Brownian asset prices. Zbl 1278.91128
Borell, Christer
2007
On certain exponential regularity for Gaussian processes. Zbl 1164.60321
Borell, Christer
2006
Convexity in Gauss space. Zbl 0515.60010
Borell, C.
1981
Intrinsic bounds on some real-valued stationary random functions. Zbl 0607.60067
Borell, Christer
1985
A note on an inequality for rearrangements. Zbl 0273.26009
Borell, Christer
1973
Real polynomial chaos and absolute continuity. Zbl 0617.60036
Borell, Christer
1988
Analytic and empirical evidences of isoperimetric processes. Zbl 0695.60052
Borell, Christer
1990
Capacitary inequalities of the Brunn-Minkowski type. Zbl 0493.31005
Borell, Christer
1982
Approximation on locally convex spaces. Zbl 0315.46032
Borell, Christer
1976
Converse hypercontractivity. Zbl 0589.60067
Borell, Christer; Janson, Svante
1982
A note on conditional probabilities of a convex measure. Zbl 0397.60014
Borell, Christer
1978
Zonoids induced by Gauss measure with an application to risk aversion. Zbl 1172.60302
Borell, Christer
2009
Inequalities of the Brunn-Minkowski type for Gaussian measures. Zbl 1137.60004
Borell, Christer
2008
Minkowski sums and Brownian exit times. Zbl 1148.60062
Borell, Christer
2007
Monotonicity properties of optimal investment strategies for log-Brownian asset prices. Zbl 1278.91128
Borell, Christer
2007
On certain exponential regularity for Gaussian processes. Zbl 1164.60321
Borell, Christer
2006
The Ehrhard inequality. Zbl 1031.60013
Borell, Christer
2003
Diffusion equations and geometric inequalities. Zbl 0976.60065
Borell, Christer
2000
Geometric inequalities in option pricing. Zbl 1050.91036
Borell, Christer
1999
A note on parabolic convexity and heat conduction. Zbl 0854.60058
Borell, Christer
1996
Geometric properties of some familiar diffusions in $${\mathbb{R}{}}^ n$$. Zbl 0776.35024
Borell, Christer
1993
Analytic and empirical evidences of isoperimetric processes. Zbl 0695.60052
Borell, Christer
1990
Real polynomial chaos and absolute continuity. Zbl 0617.60036
Borell, Christer
1988
Geometric bounds on the Ornstein-Uhlenbeck velocity process. Zbl 0537.60084
Borell, Christer
1985
Greenian potentials and concavity. Zbl 0584.31003
Borell, Christer
1985
Intrinsic bounds on some real-valued stationary random functions. Zbl 0607.60067
Borell, Christer
1985
Hitting probabilities of killed Brownian motion: A study on geometric regularity. Zbl 0573.60067
Borell, Christer
1984
Capacitary inequalities of the Brunn-Minkowski type. Zbl 0546.31001
Borell, Christer
1983
Convexity of measures in certain convex cones in vector space $$\sigma$$- algebras. Zbl 0568.46007
Borell, Christer
1983
Positivity improving operators and hypercontractivity. Zbl 0472.47015
Borell, Christer
1982
Brownian motion in a convex ring and quasi-concavity. Zbl 0516.60084
Borell, Christer
1982
On polynomial chaos and integrability. Zbl 0555.60008
Borell, Christer
1982
Capacitary inequalities of the Brunn-Minkowski type. Zbl 0493.31005
Borell, Christer
1982
Converse hypercontractivity. Zbl 0589.60067
Borell, Christer; Janson, Svante
1982
A Gaussian correlation inequality for certain bodies in $$R^ n$$. Zbl 0451.60018
Borell, Christer
1981
Convexity in Gauss space. Zbl 0515.60010
Borell, C.
1981
On the integrability of Banach space valued Walsh polynomials. Zbl 0413.60002
Borell, Christer
1979
Tail probabilities in Gauss space. Zbl 0397.60015
Borell, Christer
1978
A note on conditional probabilities of a convex measure. Zbl 0397.60014
Borell, Christer
1978
A note on Gauss measures which agree on small balls. Zbl 0385.60007
Borell, Christer
1977
Gaussian Radon measures on locally convex spaces. Zbl 0335.28009
Borell, Christer
1976
Random linear functionals and subspaces of probability one. Zbl 0331.60008
Borell, Christer
1976
Approximation on locally convex spaces. Zbl 0315.46032
Borell, Christer
1976
The Brunn-Minkowski inequality in Gauss space. Zbl 0292.60004
Borell, Christer
1975
Convex set functions in $$d$$-space. Zbl 0274.28009
Borell, C.
1975
Convex set functions in d-space. Zbl 0307.28009
Borell, Christer
1975
The cos $$\pi\lambda$$ theorem. With a paper by Christopher Borell. Zbl 0335.31001
Essen, Matts R.
1975
Convex measures on locally convex spaces. Zbl 0297.60004
Borell, Christer
1974
Complements of Lyapunov’s inequality. Zbl 0248.26011
Borell, Christer
1973
Integral inequalities for generalized concave or convex functions. Zbl 0265.26012
Borell, Christer
1973
Inverse Hölder inequalities in one and several dimensions. Zbl 0249.26015
Borell, Christer
1973
A note on an inequality for rearrangements. Zbl 0273.26009
Borell, Christer
1973
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### 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
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### 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
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### 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)