Liao, Yin-Ting; Ramanan, Kavita Geometric sharp large deviations for random projections of \(\ell_p^n\) spheres and balls. (English) Zbl 07798910 Electron. J. Probab. 29, Paper No. 1, 56 p. (2024). MSC: 60F10 52A23 46B06 41A60 PDFBibTeX XMLCite \textit{Y.-T. Liao} and \textit{K. Ramanan}, Electron. J. Probab. 29, Paper No. 1, 56 p. (2024; Zbl 07798910) Full Text: DOI arXiv
Lafi, Malak; Zvavitch, Artem Measure comparison problems for dilations of convex bodies. arXiv:2403.15682 Preprint, arXiv:2403.15682 [math.PR] (2024). MSC: 52A20 52A21 46T12 60F10 BibTeX Cite \textit{M. Lafi} and \textit{A. Zvavitch}, ``Measure comparison problems for dilations of convex bodies'', Preprint, arXiv:2403.15682 [math.PR] (2024) Full Text: arXiv OA License
Prochno, Joscha The large and moderate deviations approach in geometric functional analysis. arXiv:2403.03940 Preprint, arXiv:2403.03940 [math.FA] (2024). MSC: 46B20 60F10 47B10 52A23 BibTeX Cite \textit{J. Prochno}, ``The large and moderate deviations approach in geometric functional analysis'', Preprint, arXiv:2403.03940 [math.FA] (2024) Full Text: arXiv OA License
Kim, Steven Soojin; Ramanan, Kavita Large deviation principles induced by the Stiefel manifold, and random multidimensional projections. (English) Zbl 07790283 Electron. J. Probab. 28, Paper No. 169, 23 p. (2023). MSC: 60F10 52A23 60B20 PDFBibTeX XMLCite \textit{S. S. Kim} and \textit{K. Ramanan}, Electron. J. Probab. 28, Paper No. 169, 23 p. (2023; Zbl 07790283) Full Text: DOI arXiv
Johnston, Samuel G. G.; Prochno, Joscha A Maxwell principle for generalized Orlicz balls. (English) Zbl 07788704 Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 3, 1223-1247 (2023). MSC: 60F10 52A20 60F10 PDFBibTeX XMLCite \textit{S. G. G. Johnston} and \textit{J. Prochno}, Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 3, 1223--1247 (2023; Zbl 07788704) Full Text: DOI arXiv
Vysotsky, Vladislav The isoperimetric problem for convex hulls and the large deviations rate functionals of random walks. arXiv:2306.12359 Preprint, arXiv:2306.12359 [math.PR] (2023). MSC: 60F10 49K05 52A40 60D05 60G50 BibTeX Cite \textit{V. Vysotsky}, ``The isoperimetric problem for convex hulls and the large deviations rate functionals of random walks'', Preprint, arXiv:2306.12359 [math.PR] (2023) Full Text: arXiv OA License
Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph Random cones in high dimensions. II: Weyl cones. (English) Zbl 1522.52010 Mathematika 68, No. 3, 710-737 (2022). MSC: 52A22 60D05 52A23 52A55 60F05 60F10 PDFBibTeX XMLCite \textit{T. Godland} et al., Mathematika 68, No. 3, 710--737 (2022; Zbl 1522.52010) Full Text: DOI arXiv OA License
Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph Random cones in high dimensions. I: Donoho-Tanner and Cover-Efron cones. (English) Zbl 1505.52007 Discrete Anal. 2022, Paper No. 5, 44 p. (2022). MSC: 52A22 60D05 52A55 52A23 60F05 60F10 PDFBibTeX XMLCite \textit{T. Godland} et al., Discrete Anal. 2022, Paper No. 5, 44 p. (2022; Zbl 1505.52007) Full Text: DOI arXiv
Baci, Anastas; Kabluchko, Zakhar; Prochno, Joscha; Sonnleitner, Mathias; Thäle, Christoph Limit theorems for random points in a simplex. (English) Zbl 1502.60027 J. Appl. Probab. 59, No. 3, 685-701 (2022). Reviewer: Peter Kern (Düsseldorf) MSC: 60F05 60F10 52A23 60D05 PDFBibTeX XMLCite \textit{A. Baci} et al., J. Appl. Probab. 59, No. 3, 685--701 (2022; Zbl 1502.60027) Full Text: DOI arXiv
Aravinda, Heshan; Marsiglietti, Arnaud; Melbourne, James Concentration inequalities for ultra log-concave distributions. (English) Zbl 1490.60043 Stud. Math. 265, No. 1, 111-120 (2022). Reviewer: Fraser Daly (Edinburgh) MSC: 60E15 60F10 52A40 PDFBibTeX XMLCite \textit{H. Aravinda} et al., Stud. Math. 265, No. 1, 111--120 (2022; Zbl 1490.60043) Full Text: DOI arXiv
Johnston, Samuel G. G.; Kabluchko, Zakhar; Prochno, Joscha Projections of the uniform distribution on the cube: a large deviation perspective. (English) Zbl 1486.60051 Stud. Math. 264, No. 1, 103-119 (2022). MSC: 60F10 46B06 52A23 60B05 PDFBibTeX XMLCite \textit{S. G. G. Johnston} et al., Stud. Math. 264, No. 1, 103--119 (2022; Zbl 1486.60051) Full Text: DOI arXiv
Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph The \(\beta\)-Delaunay tessellation. III: Kendall’s problem and limit theorems in high dimensions. (English) Zbl 1483.52003 ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 23-50 (2022). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52A22 60D05 60F05 60F10 60G55 PDFBibTeX XMLCite \textit{A. Gusakova} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 23--50 (2022; Zbl 1483.52003) Full Text: arXiv Link
Kim, Steven Soojin; Liao, Yin-Ting; Ramanan, Kavita An asymptotic thin shell condition and large deviations for random multidimensional projections. (English) Zbl 1480.60061 Adv. Appl. Math. 134, Article ID 102306, 64 p. (2022). MSC: 60F10 52A23 46B06 PDFBibTeX XMLCite \textit{S. S. Kim} et al., Adv. Appl. Math. 134, Article ID 102306, 64 p. (2022; Zbl 1480.60061) Full Text: DOI arXiv
Alonso-Gutiérrez, David; Prochno, Joscha Thin-shell concentration for random vectors in Orlicz balls via moderate deviations and Gibbs measures. (English) Zbl 1487.46013 J. Funct. Anal. 282, No. 1, Article ID 109291, 35 p. (2022). MSC: 46B09 46B06 52A23 60F10 60F05 PDFBibTeX XMLCite \textit{D. Alonso-Gutiérrez} and \textit{J. Prochno}, J. Funct. Anal. 282, No. 1, Article ID 109291, 35 p. (2022; Zbl 1487.46013) Full Text: DOI arXiv
Thäle, Christoph Another note on the inequality between geometric and \(p\)-generalized arithmetic mean. (English) Zbl 1526.60022 Math. Nachr. 294, No. 10, 1977-1986 (2021). Reviewer: Edward Omey (Brussel) MSC: 60F05 60F10 52A23 PDFBibTeX XMLCite \textit{C. Thäle}, Math. Nachr. 294, No. 10, 1977--1986 (2021; Zbl 1526.60022) Full Text: DOI OA License
Akopyan, Arseniy; Vysotsky, Vladislav Large deviations of convex hulls of planar random walks and Brownian motions. (Grandes déviations pour l’enveloppe convexe de marches aléatoires et de mouvements Browniens dans le plan.) (English. French summary) Zbl 1483.60015 Ann. Henri Lebesgue 4, 1163-1201 (2021). MSC: 60D05 60F10 60G50 26B25 52A22 60G70 60J65 60G51 PDFBibTeX XMLCite \textit{A. Akopyan} and \textit{V. Vysotsky}, Ann. Henri Lebesgue 4, 1163--1201 (2021; Zbl 1483.60015) Full Text: DOI arXiv
Gusakova, Anna; Thäle, Christoph The volume of simplices in high-dimensional Poisson-Delaunay tessellations. (Volume des simplexes dans les tessellations de Poisson-Delaunay en grande dimension.) (English. French summary) Zbl 1483.52004 Ann. Henri Lebesgue 4, 121-153 (2021). MSC: 52A22 60D05 60F05 60F10 PDFBibTeX XMLCite \textit{A. Gusakova} and \textit{C. Thäle}, Ann. Henri Lebesgue 4, 121--153 (2021; Zbl 1483.52004) Full Text: DOI arXiv
Eichelsbacher, Peter; Knichel, Lukas Fine asymptotics for models with Gamma type moments. (English) Zbl 1477.60017 Random Matrices Theory Appl. 10, No. 1, Article ID 2150007, 51 p. (2021). MSC: 60B20 52A22 52A23 60D05 60F05 60F10 62H10 15B52 15A15 PDFBibTeX XMLCite \textit{P. Eichelsbacher} and \textit{L. Knichel}, Random Matrices Theory Appl. 10, No. 1, Article ID 2150007, 51 p. (2021; Zbl 1477.60017) Full Text: DOI arXiv
Kaufmann, Tom Sharp asymptotics for \(q\)-norms of random vectors in high-dimensional \(\ell_p^n\)-balls. (English) Zbl 1476.60022 Mod. Stoch., Theory Appl. 8, No. 2, 239-274 (2021). MSC: 60D05 52A23 60F10 46B09 PDFBibTeX XMLCite \textit{T. Kaufmann}, Mod. Stoch., Theory Appl. 8, No. 2, 239--274 (2021; Zbl 1476.60022) Full Text: DOI arXiv
Vysotsky, Vladislav Contraction principle for trajectories of random walks and Cramér’s theorem for kernel-weighted sums. (English) Zbl 1472.60053 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1103-1125 (2021). MSC: 60F10 60G50 49J45 52A22 54A10 60B11 PDFBibTeX XMLCite \textit{V. Vysotsky}, ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1103--1125 (2021; Zbl 1472.60053) Full Text: arXiv Link
Kabluchko, Zakhar; Prochno, Joscha The maximum entropy principle and volumetric properties of Orlicz balls. (English) Zbl 1475.46007 J. Math. Anal. Appl. 495, No. 1, Article ID 124687, 19 p. (2021). MSC: 46B06 46B09 46B45 52A23 60F10 PDFBibTeX XMLCite \textit{Z. Kabluchko} and \textit{J. Prochno}, J. Math. Anal. Appl. 495, No. 1, Article ID 124687, 19 p. (2021; Zbl 1475.46007) Full Text: DOI arXiv
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. II. (English) Zbl 1475.60061 Commun. Contemp. Math. 23, No. 3, Article ID 1950073, 35 p. (2021). Reviewer: Dongsheng Tu (Kingston) MSC: 60F10 52A23 60D05 46B09 PDFBibTeX XMLCite \textit{Z. Kabluchko} et al., Commun. Contemp. Math. 23, No. 3, Article ID 1950073, 35 p. (2021; Zbl 1475.60061) Full Text: DOI arXiv
Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph Large deviations, moderate deviations, and the KLS conjecture. (English) Zbl 1486.60049 J. Funct. Anal. 280, No. 1, Article ID 108779, 33 p. (2021). Reviewer: Rolando Rebolledo Berroeta (Santiago de Chile) MSC: 60F10 60F05 52A23 60D05 46B09 52A38 PDFBibTeX XMLCite \textit{D. Alonso-Gutiérrez} et al., J. Funct. Anal. 280, No. 1, Article ID 108779, 33 p. (2021; Zbl 1486.60049) Full Text: DOI arXiv
Kabluchko, Zakhar; Prochno, Joscha Large deviations for random matrices in the orthogonal group and Stiefel manifold with applications to random projections of product distributions. arXiv:2110.12977 Preprint, arXiv:2110.12977 [math.PR] (2021). MSC: 52A23 60F10 60B20 52A22 46B06 BibTeX Cite \textit{Z. Kabluchko} and \textit{J. Prochno}, ``Large deviations for random matrices in the orthogonal group and Stiefel manifold with applications to random projections of product distributions'', Preprint, arXiv:2110.12977 [math.PR] (2021) Full Text: arXiv OA License
Kaufmann, Tom; Thäle, Christoph Sharpening the probabilistic Arithmetic-Geometric Mean Inequality. arXiv:2112.04340 Preprint, arXiv:2112.04340 [math.PR] (2021). MSC: 46B09 52A23 60F10 BibTeX Cite \textit{T. Kaufmann} and \textit{C. Thäle}, ``Sharpening the probabilistic Arithmetic-Geometric Mean Inequality'', Preprint, arXiv:2112.04340 [math.PR] (2021) Full Text: arXiv OA License
Fruehwirth, Lorenz; Prochno, Joscha Sanov-type large deviations and conditional limit theorems for high-dimensional Orlicz balls. arXiv:2111.04691 Preprint, arXiv:2111.04691 [math.PR] (2021). MSC: 60F05 60F10 52A20 52A23 60D05 BibTeX Cite \textit{L. Fruehwirth} and \textit{J. Prochno}, ``Sanov-type large deviations and conditional limit theorems for high-dimensional Orlicz balls'', Preprint, arXiv:2111.04691 [math.PR] (2021) Full Text: arXiv OA License
Baci, Anastas; Betken, Carina; Gusakova, Anna; Thäle, Christoph Concentration inequalities for functionals of Poisson cylinder processes. (English) Zbl 1469.60053 Electron. J. Probab. 25, Paper No. 128, 27 p. (2020). MSC: 60D05 60F10 52A22 60E15 PDFBibTeX XMLCite \textit{A. Baci} et al., Electron. J. Probab. 25, Paper No. 128, 27 p. (2020; Zbl 1469.60053) Full Text: DOI arXiv Euclid
Augeri, Fanny Nonlinear large deviation bounds with applications to Wigner matrices and sparse Erdős-Rényi graphs. (English) Zbl 1456.60063 Ann. Probab. 48, No. 5, 2404-2448 (2020). MSC: 60F10 60B20 15B52 05C80 52A40 PDFBibTeX XMLCite \textit{F. Augeri}, Ann. Probab. 48, No. 5, 2404--2448 (2020; Zbl 1456.60063) Full Text: DOI arXiv Euclid
Prochno, Joscha; Thäle, Christoph; Turchi, Nicola Geometry of \(\ell_p^n\)-balls: classical results and recent developments. (English) Zbl 1456.46013 Gozlan, Nathael (ed.) et al., High dimensional probability VIII. The Oaxaca volume. Selected papers based on the presentations at the 8th conference on high-dimensional probability, HDP VIII, Casa Matemática Oaxaca (CMO), Mexico, May 28 – June 2, 2017. Cham: Birkhäuser. Prog. Probab. 74, 121-150 (2019). MSC: 46B06 52A23 47B10 60B20 60F10 PDFBibTeX XMLCite \textit{J. Prochno} et al., Prog. Probab. 74, 121--150 (2019; Zbl 1456.46013) Full Text: DOI arXiv
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. (English) Zbl 1412.52007 Commun. Contemp. Math. 21, No. 1, Article ID 1750092, 30 p. (2019). Reviewer: Viktor Ohanyan (Erevan) MSC: 52A22 60D05 60F05 60F10 PDFBibTeX XMLCite \textit{Z. Kabluchko} et al., Commun. Contemp. Math. 21, No. 1, Article ID 1750092, 30 p. (2019; Zbl 1412.52007) Full Text: DOI arXiv
Grote, Julian; Kabluchko, Zakhar; Thäle, Christoph Limit theorems for random simplices in high dimensions. (English) Zbl 1456.52006 ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 1, 141-177 (2019). MSC: 52A22 52A23 60D05 60F05 60F10 PDFBibTeX XMLCite \textit{J. Grote} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 1, 141--177 (2019; Zbl 1456.52006) Full Text: arXiv Link
Fenzl, Marcel Asymptotic results for stabilizing functionals of point processes having fast decay of correlations. arXiv:1909.13274 Preprint, arXiv:1909.13274 [math.PR] (2019). MSC: 60F10 60D05 60G55 05C80 52A22 BibTeX Cite \textit{M. Fenzl}, ``Asymptotic results for stabilizing functionals of point processes having fast decay of correlations'', Preprint, arXiv:1909.13274 [math.PR] (2019) Full Text: arXiv OA License
Kim, Steven S.; Ramanan, Kavitar A conditional limit theorem for high-dimensional \(\ell^p\)-spheres. (English) Zbl 1405.60038 J. Appl. Probab. 55, No. 4, 1060-1077 (2018). MSC: 60F10 52A20 52A23 60D05 PDFBibTeX XMLCite \textit{S. S. Kim} and \textit{K. Ramanan}, J. Appl. Probab. 55, No. 4, 1060--1077 (2018; Zbl 1405.60038) Full Text: DOI arXiv
Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph Large deviations for high-dimensional random projections of \(\ell_p^n\)-balls. (English) Zbl 1391.60046 Adv. Appl. Math. 99, 1-35 (2018). MSC: 60F10 52A23 60D05 46B09 PDFBibTeX XMLCite \textit{D. Alonso-Gutiérrez} et al., Adv. Appl. Math. 99, 1--35 (2018; Zbl 1391.60046) Full Text: DOI arXiv
Grote, Julian Universal Scaling Limits for Generalized Gamma Polytopes. arXiv:1808.09779 Preprint, arXiv:1808.09779 [math.PR] (2018). MSC: 52A22 60F10 52B05 60D05 60F15 60G55 BibTeX Cite \textit{J. Grote}, ``Universal Scaling Limits for Generalized Gamma Polytopes'', Preprint, arXiv:1808.09779 [math.PR] (2018) Full Text: arXiv OA License
Gantert, Nina; Kim, Steven Soojin; Ramanan, Kavita Large deviations for random projections of \(\ell^{p}\) balls. (English) Zbl 1459.60067 Ann. Probab. 45, No. 6B, 4419-4476 (2017). MSC: 60F10 52A20 60K37 60D05 PDFBibTeX XMLCite \textit{N. Gantert} et al., Ann. Probab. 45, No. 6B, 4419--4476 (2017; Zbl 1459.60067) Full Text: DOI arXiv Euclid
Aistleitner, Christoph Fully explicit large deviation inequalities for empirical processes with applications to information-based complexity. arXiv:1504.00143 Preprint, arXiv:1504.00143 [math.PR] (2015). MSC: 60F10 62G30 65D32 65C05 52C17 11K38 BibTeX Cite \textit{C. Aistleitner}, ``Fully explicit large deviation inequalities for empirical processes with applications to information-based complexity'', Preprint, arXiv:1504.00143 [math.PR] (2015) Full Text: arXiv OA License
Latała, Rafał Modified Paouris inequality. (English) Zbl 1323.46008 Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 2011–2013. Cham: Springer (ISBN 978-3-319-09476-2/pbk; 978-3-319-09477-9/ebook). Lecture Notes in Mathematics 2116, 293-307 (2014). MSC: 46B06 46B09 52A23 60F10 PDFBibTeX XMLCite \textit{R. Latała}, Lect. Notes Math. 2116, 293--307 (2014; Zbl 1323.46008) Full Text: DOI arXiv
Fradelizi, Matthieu; Guédon, Olivier; Pajor, Alain Thin-shell concentration for convex measures. (English) Zbl 1317.60017 Stud. Math. 223, No. 2, 123-148 (2014). Reviewer: Jesus Yepes Nicolas (Murcia) MSC: 60E15 60F10 52A23 52A40 46B09 PDFBibTeX XMLCite \textit{M. Fradelizi} et al., Stud. Math. 223, No. 2, 123--148 (2014; Zbl 1317.60017) Full Text: DOI arXiv
Adamczak, Radosław; Guédon, Olivier; Latała, Rafał; Litvak, Alexander E.; Oleszkiewicz, Krzysztof; Pajor, Alain; Tomczak-Jaegermann, Nicole Moment estimates for convex measures. (English) Zbl 1286.46014 Electron. J. Probab. 17, Paper No. 101, 19 p. (2012). MSC: 46B06 60E15 60F10 52A23 52A40 PDFBibTeX XMLCite \textit{R. Adamczak} et al., Electron. J. Probab. 17, Paper No. 101, 19 p. (2012; Zbl 1286.46014) Full Text: DOI arXiv
Hauser, Raphael; Matzinger, Heinrich Distribution of Aligned Letter Pairs in Optimal Alignments of Random Sequences. arXiv:1211.5491 Preprint, arXiv:1211.5491 [math.PR] (2012). MSC: 60K35 52A40 60C05 60D05 65K10 60F10 62E20 90C27 BibTeX Cite \textit{R. Hauser} and \textit{H. Matzinger}, ``Distribution of Aligned Letter Pairs in Optimal Alignments of Random Sequences'', Preprint, arXiv:1211.5491 [math.PR] (2012) Full Text: arXiv OA License
Guédon, Olivier; Milman, Emanuel Interpolating thin-shell and sharp large-deviation estimates for isotropic log-concave measures. (English) Zbl 1242.60012 Geom. Funct. Anal. 21, No. 5, 1043-1068 (2011). Reviewer: D. R. Bell (Jacksonville) MSC: 60D05 46B09 52A23 60F10 46B07 PDFBibTeX XMLCite \textit{O. Guédon} and \textit{E. Milman}, Geom. Funct. Anal. 21, No. 5, 1043--1068 (2011; Zbl 1242.60012) Full Text: DOI arXiv
Mikosch, Thomas; Pawlas, Zbyněk; Samorodnitsky, Gennady A large deviation principle for Minkowski sums of heavy-tailed random compact convex sets with finite expectation. (English) Zbl 1235.60012 J. Appl. Probab. 48A, Spec. Vol., 133-144 (2011). Reviewer: Ilya S. Molchanov (Bern) MSC: 60D05 60F10 52A22 PDFBibTeX XMLCite \textit{T. Mikosch} et al., J. Appl. Probab. 48A, 133--144 (2011; Zbl 1235.60012) Full Text: DOI
Barthe, Franck; Gamboa, Fabrice; Lozada-Chang, Li-Vang; Rouault, Alain Generalized Dirichlet distributions on the ball and moments. (English) Zbl 1276.30051 ALEA, Lat. Am. J. Probab. Math. Stat. 7, 319-340 (2010). MSC: 30E05 52A20 60D05 62H10 60F10 PDFBibTeX XMLCite \textit{F. Barthe} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 7, 319--340 (2010; Zbl 1276.30051) Full Text: arXiv Link
Barthe, Franck A central limit theorem for convex sets (after Klartag and Fleury-Guédon-Paouris). (Un théorème de la limite centrale pour les ensembles convexes (d’après Klartag et Fleury-Guédon-Paouris).) (French) Zbl 1217.46006 Séminaire Bourbaki. Volume 2008/2009. Exposés 997–1011. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-291-4/pbk). Astérisque 332, 287-304, Exp. No. 1007 (2010). Reviewer: Daniel Li (Lens) MSC: 46B06 46B09 52A21 52A23 60F05 60F10 PDFBibTeX XMLCite \textit{F. Barthe}, Astérisque 332, 287--304, Exp. No. 1007 (2010; Zbl 1217.46006)
Sullivan, Timothy John; Owhadi, Houman Equivalence of concentration inequalities for linear and non-linear functions. arXiv:1009.4913 Preprint, arXiv:1009.4913 [math.PR] (2010). MSC: 60E15 60F10 52A07 BibTeX Cite \textit{T. J. Sullivan} and \textit{H. Owhadi}, ``Equivalence of concentration inequalities for linear and non-linear functions'', Preprint, arXiv:1009.4913 [math.PR] (2010) Full Text: arXiv OA License
Vu, V. H. Sharp concentration of random polytopes. (English) Zbl 1094.52002 Geom. Funct. Anal. 15, No. 6, 1284-1318 (2005). Reviewer: Bo’az Klartag (Princeton) MSC: 52A22 60F10 PDFBibTeX XMLCite \textit{V. H. Vu}, Geom. Funct. Anal. 15, No. 6, 1284--1318 (2005; Zbl 1094.52002) Full Text: DOI
Bobkov, Sergey G.; Nazarov, Fedor L. Large deviations of typical linear functionals on a convex body with conditional basis. (English) Zbl 1044.52003 Giné, Evariste (ed.) et al., Stochastic inequalities and applications. Selected papers presented at the Euroconference on “Stochastic inequalities and their applications”, Barcelona, June 18–22, 2002. Basel: Birkhäuser (ISBN 3-7643-2197-0/hbk). Prog. Probab. 56, 3-13 (2003). Reviewer: Bo’az Klartag (Tel Aviv) MSC: 52A20 60F10 52A22 PDFBibTeX XMLCite \textit{S. G. Bobkov} and \textit{F. L. Nazarov}, Prog. Probab. 56, 3--13 (2003; Zbl 1044.52003)
Külske, Christof Universal bounds on the selfaveraging of random diffraction measures. (English) Zbl 1025.78009 Probab. Theory Relat. Fields 126, No. 1, 29-50 (2003). Reviewer: M.Baake (Greifswald) MSC: 78A45 82B44 60F10 82D30 52C23 PDFBibTeX XMLCite \textit{C. Külske}, Probab. Theory Relat. Fields 126, No. 1, 29--50 (2003; Zbl 1025.78009) Full Text: DOI arXiv
Barthe, F.; Koldobsky, A. Extremal slabs in the cube and the Laplace transform. (English) Zbl 1037.52006 Adv. Math. 174, No. 1, 89-114 (2003). Reviewer: Paolo Dulio (Milano) MSC: 52A38 60F10 PDFBibTeX XMLCite \textit{F. Barthe} and \textit{A. Koldobsky}, Adv. Math. 174, No. 1, 89--114 (2003; Zbl 1037.52006) Full Text: DOI
Collamore, Jeffrey F. First passage times of general sequences of random vectors: A large deviations approach. (English) Zbl 0934.60025 Stochastic Processes Appl. 78, No. 1, 97-130 (1998). Reviewer: Zuzana Prášková (Praha) MSC: 60F10 60G40 60K10 52A20 PDFBibTeX XMLCite \textit{J. F. Collamore}, Stochastic Processes Appl. 78, No. 1, 97--130 (1998; Zbl 0934.60025) Full Text: DOI
Goldman, André On a conjecture of D. G. Kendall concerning the planar Crofton cell and on its Brownian counterpart. (Sur une conjecture de D. G. Kendall concernant la cellule de Crofton du plan et sur sa contrepartie brownienne.) (French) Zbl 0936.60009 Ann. Probab. 26, No. 4, 1727-1750 (1998). MSC: 60D05 60J65 35P20 52A22 60F10 PDFBibTeX XMLCite \textit{A. Goldman}, Ann. Probab. 26, No. 4, 1727--1750 (1998; Zbl 0936.60009) Full Text: DOI
Fang, Shao C.; Venkatesh, Santosh S. A threshold function for harmonic update. (English) Zbl 0896.60002 SIAM J. Discrete Math. 10, No. 3, 482-498 (1997). MSC: 60C05 60F10 68R05 52B11 05C80 PDFBibTeX XMLCite \textit{S. C. Fang} and \textit{S. S. Venkatesh}, SIAM J. Discrete Math. 10, No. 3, 482--498 (1997; Zbl 0896.60002) Full Text: DOI
Ney, Peter E.; Robinson, Stephen M. Polyhedral approximation of convex sets with an application to large deviation probability theory. (English) Zbl 0835.60021 J. Convex Anal. 2, No. 1-2, 229-240 (1995). Reviewer: S.Ebralidze (Tbilisi) MSC: 60F10 52A20 52A27 PDFBibTeX XMLCite \textit{P. E. Ney} and \textit{S. M. Robinson}, J. Convex Anal. 2, No. 1--2, 229--240 (1995; Zbl 0835.60021) Full Text: EuDML EMIS
Spencer, J. The Janson inequality. (English) Zbl 0792.05131 Miklós, D. (ed.) et al., Combinatorics, Paul Erdős is eighty. Vol. 1. Budapest: János Bolyai Mathematical Society. Bolyai Society Mathematical Studies. 421-432 (1993). Reviewer: J.Spencer (New York) MSC: 05C80 11B13 52C10 60F10 PDFBibTeX XMLCite \textit{J. Spencer}, in: Combinatorics, Paul Erdős is eighty. Vol. 1. Budapest: János Bolyai Mathematical Society. 421--432 (1993; Zbl 0792.05131)
Kourouklis, Stavros A large deviation result for the likelihood ratio statistic in exponential families. (English) Zbl 0551.62017 Ann. Stat. 12, 1510-1521 (1984). MSC: 62F03 60F10 62E20 52A20 52Bxx PDFBibTeX XMLCite \textit{S. Kourouklis}, Ann. Stat. 12, 1510--1521 (1984; Zbl 0551.62017) Full Text: DOI