LEADER 04161nam 22005055 450 001 9910360849203321 005 20200702030127.0 010 $a3-030-26391-6 024 7 $a10.1007/978-3-030-26391-1 035 $a(CKB)4100000009939753 035 $a(MiAaPQ)EBC5986150 035 $a(DE-He213)978-3-030-26391-1 035 $a(PPN)26914532X 035 $a(EXLCZ)994100000009939753 100 $a20191126d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHigh Dimensional Probability VIII$b[electronic resource] $eThe Oaxaca Volume /$fedited by Nathael Gozlan, Rafa? Lata?a, Karim Lounici, Mokshay Madiman 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2019. 215 $a1 online resource (x, 458 pages) $cillustrations 225 1 $aProgress in Probability,$x1050-6977 ;$v74 311 $a3-030-26390-8 327 $aJřrgen Hoffmann-Jřrgensen (1942?2017) -- Moment estimation implied by the Bobkov-Ledoux inequality -- Polar Isoperimetry. I: The case of the Plane -- Iterated Jackknives and Two-Sided Variance Inequalities -- A Probabilistic Characterization of Negative Definite Functions -- Higher Order Concentration in presence of Poincaré-type inequalities -- Rearrangement and Prékopa?Leindler Type Inequalities -- Generalized Semimodularity: Order Statistics -- Geometry of np -Balls: Classical Results and Recent Developments -- Remarks on Superconcentration and Gamma calculus. Application to Spin Glasses -- Asymptotic behavior of Rényi entropy in the Central Limit Theorem -- Uniform-in-Bandwidth Functional Limit Laws for Multivariate Empirical Processes -- Universality of Limiting Spectral Distribution Under Projective Criteria -- Exchangeable Pairs on Wiener Chaos -- Permanental Processes with Kernels That Are Not Equivalent to a Symmetric Matrix -- Pointwise Properties of Martingales with Values in Banach Function Spaces -- Concentration Inequalities for Randomly Permuted Sums -- Uncertainty Quantification for Matrix Compressed Sensing and Quantum Tomography Problems -- Uniform in Bandwidth Estimation of the Gradient Lines of a Density. 330 $aThis volume collects selected papers from the 8th High Dimensional Probability meeting held at Casa Matemática Oaxaca (CMO), Mexico. High Dimensional Probability (HDP) is an area of mathematics that includes the study of probability distributions and limit theorems in infinite-dimensional spaces such as Hilbert spaces and Banach spaces. The most remarkable feature of this area is that it has resulted in the creation of powerful new tools and perspectives, whose range of application has led to interactions with other subfields of mathematics, statistics, and computer science. These include random matrices, nonparametric statistics, empirical processes, statistical learning theory, concentration of measure phenomena, strong and weak approximations, functional estimation, combinatorial optimization, random graphs, information theory and convex geometry. The contributions in this volume show that HDP theory continues to thrive and develop new tools, methods, techniques and perspectives to analyze random phenomena. 410 0$aProgress in Probability,$x1050-6977 ;$v74 606 $aProbabilities 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 615 0$aProbabilities. 615 14$aProbability Theory and Stochastic Processes. 676 $a519.2 702 $aGozlan$b Nathael$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aLata?a$b Rafa?$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aLounici$b Karim$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMadiman$b Mokshay$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910360849203321 996 $aHigh Dimensional Probability VIII$92521539 997 $aUNINA