LEADER 04309nam 22007815 450 001 9910960962703321 005 20250813221750.0 010 $a3-642-08087-1 010 $a3-642-20212-8 024 7 $a10.1007/978-3-642-20212-4 035 $a(CKB)2660000000027349 035 $a(SSID)ssj0000855110 035 $a(PQKBManifestationID)11450894 035 $a(PQKBTitleCode)TC0000855110 035 $a(PQKBWorkID)10911624 035 $a(PQKB)10686440 035 $a(DE-He213)978-3-642-20212-4 035 $a(MiAaPQ)EBC3088451 035 $a(PPN)238021661 035 $a(EXLCZ)992660000000027349 100 $a20130215d1991 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aProbability in Banach Spaces $eIsoperimetry and Processes /$fby Michel Ledoux, Michel Talagrand 205 $a1st ed. 1991. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1991. 215 $a1 online resource (XII, 480 p. 2 illus.) 225 1 $aClassics in Mathematics,$x2512-5257 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-52013-9 311 08$a3-642-20211-X 320 $aIncludes bibliographical references and index. 327 $aNotation -- 0. Isoperimetric Background and Generalities -- 1. Isoperimetric Inequalities and the Concentration of Measure Phenomenon -- 2. Generalities on Banach Space Valued Random Variables and Random Processes -- I. Banach Space Valued Random Variables and Their Strong Limiting Properties -- 3. Gaussian Random Variables -- 4. Rademacher Averages -- 5. Stable Random Variables -- 6 Sums of Independent Random Variables -- 7. The Strong Law of Large Numbers -- 8. The Law of the Iterated Logarithm -- II. Tightness of Vector Valued Random Variables and Regularity of Random Processes -- 9. Type and Cotype of Banach Spaces -- 10. The Central Limit Theorem -- 11. Regularity of Random Processes -- 12. Regularity of Gaussian and Stable Processes -- 13. Stationary Processes and Random Fourier Series -- 14. Empirical Process Methods in Probability in Banach Spaces -- 15. Applications to Banach Space Theory -- References. 330 $aIsoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed. 410 0$aClassics in Mathematics,$x2512-5257 606 $aProbabilities 606 $aFunctions of real variables 606 $aSystem theory 606 $aControl theory 606 $aMathematical optimization 606 $aCalculus of variations 606 $aProbability Theory 606 $aReal Functions 606 $aSystems Theory, Control 606 $aCalculus of Variations and Optimization 615 0$aProbabilities. 615 0$aFunctions of real variables. 615 0$aSystem theory. 615 0$aControl theory. 615 0$aMathematical optimization. 615 0$aCalculus of variations. 615 14$aProbability Theory. 615 24$aReal Functions. 615 24$aSystems Theory, Control. 615 24$aCalculus of Variations and Optimization. 676 $a519.2 700 $aLedoux$b Michel$4aut$4http://id.loc.gov/vocabulary/relators/aut$059813 702 $aTalagrand$b Michel$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910960962703321 996 $aProbability in Banach spaces$91501834 997 $aUNINA LEADER 03375nam 22006255 450 001 9911018643103321 005 20250806164033.0 010 $a981-9651-66-2 024 7 $a10.1007/978-981-96-5166-5 035 $a(MiAaPQ)EBC32253191 035 $a(Au-PeEL)EBL32253191 035 $a(CKB)40083238300041 035 $a(DE-He213)978-981-96-5166-5 035 $a(EXLCZ)9940083238300041 100 $a20250806d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRecent Advances in Functional Materials, Volume 2 $eSelect Proceedings of RAFM 2024 /$fedited by Manish Kumar, Anjani Kumar Singh, Subhash Sharma, Devendra Kumar 205 $a1st ed. 2025. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2025. 215 $a1 online resource (491 pages) 225 1 $aSpringer Proceedings in Materials,$x2662-317X ;$v69 311 08$a981-9651-65-4 327 $aFacile synthesis of double perovskite La2CoFeO6 by glycine-nitrate combustion method.-Potential of Nano Spinel Ferrites in Energy Storage Applications through Supercapacitors -- Synthesis, Characterization and Study of EMI Shielding Properties of Polypyrrole/rGO Nanocomposites -- Cuprate Supercondutors: An Overview -- Enhancing Tribological Performance of Aluminum Composites: Waste-Derived Graphite as ex- situ reinforcement -- State-of-the-art neem leaf extract-assisted green MgO nanoparticles for multifaceted applications -- otential Applications of Spinel Nano Ferrites in Humidity Sensors.-Etc. 330 $aThis volume presents the select proceedings of International Conference on Recent Advances in Functional Materials (RAFM 2024). It covers a wide range of topics such as multifunctional materials, 2D materials, biomaterials, materials for environmental studies, DFT and solar simulation of materials, perovskite and double perovskite materials, luminescent materials, smart materials, materials for energy conversion and storage, smart materials, advanced functional materials, polymeric materials, composites, liquid crystals, materials for sustainable development, nanomaterials and thin films, smart devices and quantum dots synthesis technique, and characterization tools with application in smart devices. The book will be useful for researchers and professionals working in various areas of materials science. 410 0$aSpringer Proceedings in Materials,$x2662-317X ;$v69 606 $aMaterials 606 $aBiomaterials 606 $aCatalysis 606 $aForce and energy 606 $aMaterials for Devices 606 $aBiomaterials 606 $aMaterials for Energy and Catalysis 615 0$aMaterials. 615 0$aBiomaterials. 615 0$aCatalysis. 615 0$aForce and energy. 615 14$aMaterials for Devices. 615 24$aBiomaterials. 615 24$aMaterials for Energy and Catalysis. 676 $a620.11 700 $aKumar$b Manish$0799531 701 $aSingh$b Anjani Kumar$01449189 701 $aSharma$b Subhash$0116939 701 $aKumar$b Devendra$0798617 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911018643103321 996 $aRecent Advances in Functional Materials, Volume 2$94414571 997 $aUNINA