Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar (GAFA) 2017-2019 Volume II / / edited by Bo'az Klartag, Emanuel Milman |
Edizione | [1st ed. 2020.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
Descrizione fisica | 1 online resource (X, 348 p. 8 illus., 1 illus. in color.) |
Disciplina | 515.7 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Functional analysis
Convex geometry Discrete geometry Probabilities Functional Analysis Convex and Discrete Geometry Probability Theory and Stochastic Processes |
ISBN | 3-030-46762-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910484413703321 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar (GAFA) 2017-2019 Volume II / / edited by Bo'az Klartag, Emanuel Milman |
Edizione | [1st ed. 2020.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
Descrizione fisica | 1 online resource (X, 348 p. 8 illus., 1 illus. in color.) |
Disciplina | 515.7 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Functional analysis
Convex geometry Discrete geometry Probabilities Functional Analysis Convex and Discrete Geometry Probability Theory and Stochastic Processes |
ISBN | 3-030-46762-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-996418280103316 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar (GAFA) 2014–2016 / / edited by Bo'az Klartag, Emanuel Milman |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (XII, 366 p. 2 illus.) |
Disciplina | 515.7 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Functional analysis
Convex geometry Discrete geometry Probabilities Functional Analysis Convex and Discrete Geometry Probability Theory and Stochastic Processes |
ISBN | 3-319-45282-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Alesker, S.: On repeated sequential closures of constructible functions in valuations -- Ben-Efraim L., Milman, V., Segal, A.: Orbit point of view on some results of asymp-totic theory; Orbit type and cotype -- Bobkov, S. G., Nayar, P., Tetali, P.: Concentration Properties of Restricted Measures with Applications to Non-Lipschitz Functions -- Bourgain, J.:On random walks in large compact Lie groups -- Bourgain, J.: On a problem of Farrell and Vershynin in random matrix theory. -- Colesanti, A., Lombardi, N.: Valutations on the space of quasi-concave functions -- Dafnis, N., Paouris, G.: An inequality for moments of log-concave functions on Gaus-sian random vectors -- Friedland, O., Yomdin, Y.:(s; p)-valent functions -- Gluskin, E. D., Ostrover, Y.: A remark on projections of the rotated cube to complex lines -- Guedon, O., Hinrichs, A., Litvak, A. E., Prochno, J.: On the expectation of operatornorms of random matrices -- Haviv, I., Regev, O.: The Restricted Isometry Property of Subsampled Fourier Ma-trices -- Huang, H., Wei, F.: Upper bound for the Dvoretzky dimension in Milman-Schechtman theorem -- Klartag, B.: Super-Gaussian directions of random vectors -- Koldobsky, A., Pajor, A.: A remark on measures of sections of Lp-balls -- Kolesnikov, A. V., Milman, E.: Sharp Poincare-type inequality for the Gaussian mea-sure on the boundary of convex sets -- Konig, H., Milman, V.: Rigidity of the chain rule and nearly submultiplicative functions -- Lata la, R., Matlak, D.: Royen's proof of the Gaussian correlation inequality -- Liaw, C., Mehrabian, A., Plan, Y., Vershynin, R.: A simple tool for bounding the deviation of random matrices on geometric sets -- Mendelson, S.: On multiplier processes under weak moment assumptions -- Milman, V., Rotem, L.: Characterizing the radial sum for star bodies -- Oleskiewicz, K.: On mimicking Rademacher sums in tail spaces -- Rossi, A., Salani, P.: Stability for Borell-Brascamp-Lieb inequalities.pan>. |
Record Nr. | UNISA-996466758103316 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar (GAFA) 2014–2016 / / edited by Bo'az Klartag, Emanuel Milman |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (XII, 366 p. 2 illus.) |
Disciplina | 515.7 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Functional analysis
Convex geometry Discrete geometry Probabilities Functional Analysis Convex and Discrete Geometry Probability Theory and Stochastic Processes |
ISBN | 3-319-45282-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Alesker, S.: On repeated sequential closures of constructible functions in valuations -- Ben-Efraim L., Milman, V., Segal, A.: Orbit point of view on some results of asymp-totic theory; Orbit type and cotype -- Bobkov, S. G., Nayar, P., Tetali, P.: Concentration Properties of Restricted Measures with Applications to Non-Lipschitz Functions -- Bourgain, J.:On random walks in large compact Lie groups -- Bourgain, J.: On a problem of Farrell and Vershynin in random matrix theory. -- Colesanti, A., Lombardi, N.: Valutations on the space of quasi-concave functions -- Dafnis, N., Paouris, G.: An inequality for moments of log-concave functions on Gaus-sian random vectors -- Friedland, O., Yomdin, Y.:(s; p)-valent functions -- Gluskin, E. D., Ostrover, Y.: A remark on projections of the rotated cube to complex lines -- Guedon, O., Hinrichs, A., Litvak, A. E., Prochno, J.: On the expectation of operatornorms of random matrices -- Haviv, I., Regev, O.: The Restricted Isometry Property of Subsampled Fourier Ma-trices -- Huang, H., Wei, F.: Upper bound for the Dvoretzky dimension in Milman-Schechtman theorem -- Klartag, B.: Super-Gaussian directions of random vectors -- Koldobsky, A., Pajor, A.: A remark on measures of sections of Lp-balls -- Kolesnikov, A. V., Milman, E.: Sharp Poincare-type inequality for the Gaussian mea-sure on the boundary of convex sets -- Konig, H., Milman, V.: Rigidity of the chain rule and nearly submultiplicative functions -- Lata la, R., Matlak, D.: Royen's proof of the Gaussian correlation inequality -- Liaw, C., Mehrabian, A., Plan, Y., Vershynin, R.: A simple tool for bounding the deviation of random matrices on geometric sets -- Mendelson, S.: On multiplier processes under weak moment assumptions -- Milman, V., Rotem, L.: Characterizing the radial sum for star bodies -- Oleskiewicz, K.: On mimicking Rademacher sums in tail spaces -- Rossi, A., Salani, P.: Stability for Borell-Brascamp-Lieb inequalities.pan>. |
Record Nr. | UNINA-9910257381503321 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar (GAFA) 2011-2013 / / edited by Bo'az Klartag, Emanuel Milman |
Edizione | [1st ed. 2014.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
Descrizione fisica | 1 online resource (IX, 463 p. 12 illus.) |
Disciplina | 515.7 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Functional analysis
Convex geometry Discrete geometry Probabilities Functional Analysis Convex and Discrete Geometry Probability Theory and Stochastic Processes |
ISBN | 3-319-09477-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Dominique Bakry and Marguerite Zani: Random symmetric matrices on Clifford algebras -- Itai Benjamini: Gaussian free field on hyperbolic lattices -- Itai Benjamini and Pascal Maillard: Point-to-point distance in first passage percolation on (tree)Z -- Zbigniew Blocki: A lower bound for the Bergman kernel and the Bourgain-Milman inequality -- Jean Bourgain: An improved estimate in the restricted isometry problem -- Jean Bourgain: On eigenvalue spacings for the 1-D Anderson model with singular site distribution -- Jean Bourgain: On the local eigenvalue spacings for certain Anderson-Bernoulli Hamiltonians -- Jean Bourgain: On the control problem for Schrodinger operators on tori -- Ronen Eldan and Joseph Lehec: Bounding the norm of a log-concave vector via thin-shell estimates -- Dima Faifman, Bo'az Klartag and Vitali Milman: On the oscillation rigidity of a Lipschitz function on a high-dimensional flat torus -- Dan Florentin, Vitali Milman and Alexander Segal: Identifying set inclusion by projective positions and mixed volumes.- Omer Friedland and Yosef Yomdin: Vitushkin-type theorems.- Apostolos Giannopoulos and Emanuel Milman: M-estimates for isotropic convex bodies and their Lq-centroid bodies -- Uri Grupel: Remarks on the Central Limit Theorem for non-convex bodies -- Benjamin Jaye and Fedor Nazarov: Reflectionless measures and the Mattila-Melnikov-Verdera uniform rectifiability theorem -- Bo'az Klartag: Logarithmically-concave Moment Measures I -- Alexander Koldobsky: Estimates for measures of sections of convex bodies -- Alexander V. Kolesnikov and Emanuel Milman: Remarks on the KLS conjecture and Hardy-type inequalities -- Rafal Latala: Modified Paouris inequality -- Michel Ledoux: Remarks on noise sensitivity, Brascamp-Lieb and Slepian inequalities -- Alexander E. Litvak and Susanna Spektor: Quantitative version of a Silverstein's result -- Amir Livne Bar-On: The (B) conjecture for uniform measures in the plane -- Galyna Livshytz: Maximal surface area of a convex set in Rn with respect to log-concave rotation invariant measures -- Elisabeth Meckes and Mark Meckes: On the equivalence of modes of convergence for log-concave measures -- Shahar Mendelson: A remark on the diameter of random sections of convex bodies -- Piotr Nayar and Tomasz Tkocz: A note on certain convolution operators -- Liran Rotem: On isotropicity with respect to a measure -- Rolf Schneider: A formula for mixed volumes -- Alexander Segal: On convergence of Blaschke and Minkowski symmetrization through stability results -- Sasha Sodin: Positive temperature versions of two theorems on first-passage percolation -- Konstantin E. Tikhomirov: The randomized Dvoretzky's theorem in `n1 and the-distribution. |
Record Nr. | UNINA-9910300157703321 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar (GAFA) 2011-2013 / / edited by Bo'az Klartag, Emanuel Milman |
Edizione | [1st ed. 2014.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
Descrizione fisica | 1 online resource (IX, 463 p. 12 illus.) |
Disciplina | 515.7 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Functional analysis
Convex geometry Discrete geometry Probabilities Functional Analysis Convex and Discrete Geometry Probability Theory and Stochastic Processes |
ISBN | 3-319-09477-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Dominique Bakry and Marguerite Zani: Random symmetric matrices on Clifford algebras -- Itai Benjamini: Gaussian free field on hyperbolic lattices -- Itai Benjamini and Pascal Maillard: Point-to-point distance in first passage percolation on (tree)Z -- Zbigniew Blocki: A lower bound for the Bergman kernel and the Bourgain-Milman inequality -- Jean Bourgain: An improved estimate in the restricted isometry problem -- Jean Bourgain: On eigenvalue spacings for the 1-D Anderson model with singular site distribution -- Jean Bourgain: On the local eigenvalue spacings for certain Anderson-Bernoulli Hamiltonians -- Jean Bourgain: On the control problem for Schrodinger operators on tori -- Ronen Eldan and Joseph Lehec: Bounding the norm of a log-concave vector via thin-shell estimates -- Dima Faifman, Bo'az Klartag and Vitali Milman: On the oscillation rigidity of a Lipschitz function on a high-dimensional flat torus -- Dan Florentin, Vitali Milman and Alexander Segal: Identifying set inclusion by projective positions and mixed volumes.- Omer Friedland and Yosef Yomdin: Vitushkin-type theorems.- Apostolos Giannopoulos and Emanuel Milman: M-estimates for isotropic convex bodies and their Lq-centroid bodies -- Uri Grupel: Remarks on the Central Limit Theorem for non-convex bodies -- Benjamin Jaye and Fedor Nazarov: Reflectionless measures and the Mattila-Melnikov-Verdera uniform rectifiability theorem -- Bo'az Klartag: Logarithmically-concave Moment Measures I -- Alexander Koldobsky: Estimates for measures of sections of convex bodies -- Alexander V. Kolesnikov and Emanuel Milman: Remarks on the KLS conjecture and Hardy-type inequalities -- Rafal Latala: Modified Paouris inequality -- Michel Ledoux: Remarks on noise sensitivity, Brascamp-Lieb and Slepian inequalities -- Alexander E. Litvak and Susanna Spektor: Quantitative version of a Silverstein's result -- Amir Livne Bar-On: The (B) conjecture for uniform measures in the plane -- Galyna Livshytz: Maximal surface area of a convex set in Rn with respect to log-concave rotation invariant measures -- Elisabeth Meckes and Mark Meckes: On the equivalence of modes of convergence for log-concave measures -- Shahar Mendelson: A remark on the diameter of random sections of convex bodies -- Piotr Nayar and Tomasz Tkocz: A note on certain convolution operators -- Liran Rotem: On isotropicity with respect to a measure -- Rolf Schneider: A formula for mixed volumes -- Alexander Segal: On convergence of Blaschke and Minkowski symmetrization through stability results -- Sasha Sodin: Positive temperature versions of two theorems on first-passage percolation -- Konstantin E. Tikhomirov: The randomized Dvoretzky's theorem in `n1 and the-distribution. |
Record Nr. | UNISA-996213651903316 |
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar 2006–2010 / / edited by Bo'az Klartag, Shahar Mendelson, Vitali D. Milman |
Edizione | [1st ed. 2012.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012 |
Descrizione fisica | 1 online resource (VIII, 449 p. 3 illus.) |
Disciplina | 515/.7 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Functional analysis
Convex geometry Discrete geometry Probabilities Functional Analysis Convex and Discrete Geometry Probability Theory and Stochastic Processes |
ISBN | 3-642-29849-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | The α-Cosine Transform and Intertwining Integrals on Real Grassmannians -- On Modules Over Valuations -- On Multiplicative Maps of Continuous and Smooth Functions -- Order Isomorphisms on Convex Functions in Windows -- Finite Transitive Graph Embeddings into a Hyperbolic -- Metric Space Must Stretch or Squeeze -- Tightness of Fluctuations of First Passage Percolation on Some Large Graphs -- Finitely Supported Measures on SL2(R) which are Absolutely Continuous at Infinity -- Interpolations, Convexity and Geometric Inequalities -- Hypercontractive Measures, Talagrand's Inequality, and Inuences -- A Family of Unitary Operators Satisfying a Poisson-Type Summation Formula -- Stability of Order Preserving Transforms -- On the Distribution of the 2-Norm of Linear Functionals on Isotropic Convex Bodies -- A Remark on Vertex Index of the Convex Bodies -- Inner Regularization of Log-Concave Measures and Small-Ball Estimates -- An Operator Equation Generalizing the Leibniz Rule for the Second Derivative -- Moments of Unconditional Logarithmically Concave Vectors -- Projections of Probability Distributions: A Measure-Theoretic Dvoretzky Theorem -- On a Loomis-Whitney Type Inequality for Permutationally Invariant Unconditional Convex Bodies -- The Hörmander Proof of the Bourgain-Milman Theorem -- On Some Extension of Feige's Inequality -- On the Mean Width of Log-Concave -- Approximate Gaussian Isoperimetry for k Sets -- Remark on Stability of Brunn-Minkowski and Isoperimetric Inequalities for Convex Bodies -- On Contact Points of Convex Bodies. |
Record Nr. | UNISA-996466772403316 |
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar 2006–2010 / / edited by Bo'az Klartag, Shahar Mendelson, Vitali D. Milman |
Edizione | [1st ed. 2012.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012 |
Descrizione fisica | 1 online resource (VIII, 449 p. 3 illus.) |
Disciplina | 515/.7 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Functional analysis
Convex geometry Discrete geometry Probabilities Functional Analysis Convex and Discrete Geometry Probability Theory and Stochastic Processes |
ISBN | 3-642-29849-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | The α-Cosine Transform and Intertwining Integrals on Real Grassmannians -- On Modules Over Valuations -- On Multiplicative Maps of Continuous and Smooth Functions -- Order Isomorphisms on Convex Functions in Windows -- Finite Transitive Graph Embeddings into a Hyperbolic -- Metric Space Must Stretch or Squeeze -- Tightness of Fluctuations of First Passage Percolation on Some Large Graphs -- Finitely Supported Measures on SL2(R) which are Absolutely Continuous at Infinity -- Interpolations, Convexity and Geometric Inequalities -- Hypercontractive Measures, Talagrand's Inequality, and Inuences -- A Family of Unitary Operators Satisfying a Poisson-Type Summation Formula -- Stability of Order Preserving Transforms -- On the Distribution of the 2-Norm of Linear Functionals on Isotropic Convex Bodies -- A Remark on Vertex Index of the Convex Bodies -- Inner Regularization of Log-Concave Measures and Small-Ball Estimates -- An Operator Equation Generalizing the Leibniz Rule for the Second Derivative -- Moments of Unconditional Logarithmically Concave Vectors -- Projections of Probability Distributions: A Measure-Theoretic Dvoretzky Theorem -- On a Loomis-Whitney Type Inequality for Permutationally Invariant Unconditional Convex Bodies -- The Hörmander Proof of the Bourgain-Milman Theorem -- On Some Extension of Feige's Inequality -- On the Mean Width of Log-Concave -- Approximate Gaussian Isoperimetry for k Sets -- Remark on Stability of Brunn-Minkowski and Isoperimetric Inequalities for Convex Bodies -- On Contact Points of Convex Bodies. |
Record Nr. | UNINA-9910482991103321 |
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar 2002-2003 / / edited by Vitali D. Milman, Gideon Schechtman |
Edizione | [1st ed. 2004.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 |
Descrizione fisica | 1 online resource (X, 306 p.) |
Disciplina | 515.732 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Functional analysis
Convex geometry Discrete geometry Probabilities Functional Analysis Convex and Discrete Geometry Probability Theory and Stochastic Processes |
ISBN | 3-540-44489-0 |
Classificazione | 46-06 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Title -- Preface -- The Start of GAFA Seminar Notes: Some Memories After 20 Years of Activity -- Contents -- 1 Introduction -- 2 Proof of Theorem 2 -- References -- 0 Introduction -- 1 Background -- 2 Hard Lefschetz Theorem for Even Valuations -- 3 The Case of Odd Valuations -- 4 Hard Lefschetz Theorem for Even Valuations from [A4] -- References -- References -- 1 Introduction -- 2 Decay of Norm for a Single Point -- 3 Decay of Diameter of a Convex Body -- 4 Remarks -- 5 Appendix -- References -- 1 A Construction of the Brenier Map -- 2 The Brunn-Minkowski Inequality -- 3 The Marton-Talagrand Inequality -- References -- 1 Introduction -- 2 The Approximation Argument -- 3 The Continuous Version of the Inequalities -- References -- 1 Introduction -- 2 Proof of the Inverse Brascamp-Lieb Inequality -- 3 The Brascamp-Lieb Inequality -- References -- References -- 1 Introduction -- 2 A Distributional Inequality -- 3 Application to Certain Lattice Schrödinger Operators -- 4 A Continuum Model -- 5 Remark on the IDS of the 1-D Bernoulli Model with Weak Disorder -- References -- 1 Introduction -- 2 Symmetrization -- 2.1 Definition -- 2.2 The Effect of a Symmetrization on the Isotropic Constant -- 3 Use of an M -Ellipsoid -- 4 Proof of the Reduction to Bodies with Finite Volume Ratio -- 4.1 Controlling the Axes of an M -Ellipsoid -- 4.2 Finite Volume Ratio -- 5 The Isotropic Position and an M -Ellipsoid -- 6 Appendix: Concave Functions -- References -- References -- 1 Introduction -- 2 On a Geometric Inequality and the Extremal Properties of Euclidean Balls -- 3 Deviation from l2-Estimate -- 4 Random Cotype 2 Property -- 5 Spherical Uniform Distribution -- 6 Can We Check in a "Reasonable Time" that a Normed Space Is Very Far from Euclidean? -- References -- 1 Introduction.
2 Tight Embeddings of Euclidean Spaces in Symmetric Spaces and of Symmetric Spaces in Spaces -- 3 Complemented Subspaces of with Unconditional Bases -- References -- 1 Introduction -- 2 Uniqueness -- 3 Extremality Conditions -- 4 Different Bodies Have Different Maps -- 5 Various Optimization Problems -- References -- 0 Introduction -- 1 Definitions and Notations -- 2 The Minimal Volume Ellipsoid of a Symmetric Convex Body -- 3 Convex Bodies in M-Position -- 4 Main Results in the Non-symmetric Case -- 5 Technical Remarks and Improvements -- 6 The Symmetric Quasi-Convex Case -- References -- 1 Introduction -- 2 A General Scheme -- 3 Asymptotic Lower Bound for dist -- 4 The 2-Dimensional Case -- References -- 1 Introduction -- 2 Glivenko-Cantelli Classes and Learnability -- 2.1 The Classical Approach -- 2.2 Talagrand's Inequality for Empirical Processes -- 3 Uniform Measures of Complexity -- 3.1 Metric Entropy and the Combinatorial Dimension -- 3.2 Random Averages and the Combinatorial Dimension -- 3.3 Phase Transitions in GC Classes -- 3.4 Concentration of the Combinatorial Dimension -- 4 Learning Sample Complexity and Error Bounds -- 4.1 Error Bounds -- 4.2 Comparing Structures -- 5 Estimating the Localized Averages -- 5.1 Localized Averages -- 5.2 Data Dependent Bounds -- 5.3 Geometric Interpretation -- 6 Bernstein Type of Loss Classes -- 7 Classes of Linear Functionals -- 8 Concluding Remarks -- References -- 1 Introduction -- 2 Essential Uniqueness of M -Ellipsoids -- References -- 1 Frameworks and Models -- 1.1 Generalities -- 1.2 Interactions -- 1.3 Thermodynamic Limit of the Ground State Energy -- 2 Thermodynamic Limit in the Case of Short Range Interaction -- 3 Thermodynamic Limit for Mean Field Type Models -- 3.1 Weak Selfaveraging Property -- 3.2 Strong Selfaveraging Property of the Free Energy. 4 Two Simple Models with Phase Transitions -- 4.1 Kac Model -- 4.2 Spherical Model -- 4.3 Concluding Remarks on Phase Transitions -- References -- References -- 1 Introduction -- 2 Proof of the Theorem -- References -- Israel GAFA Seminar (2002-2004) -- PIMS Thematic Programme on Asymptotic Geometric Analysis at the University of British Columbia (Summer 2002) -- Conference on Convexity and Asymptotic Theory of Normed Spaces -- Concentration Period on Measure Transportation and Geometric Inequalities -- Conference on Phenomena of Large Dimensions -- Conference on Non-commutative Phenomena and Random Matrices -- Conference on Banach Spaces -- Banach Spaces and Convex Geometric Analysis (April, 2003) -- Paris GAFA Seminar (Summer 2003) -- GAFA Session Joint Meeting of the New Zealand Mathematical Society and Israel Mathematical Union (Wellington, February 2004). |
Record Nr. | UNINA-9910144618203321 |
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar 2002-2003 / / edited by Vitali D. Milman, Gideon Schechtman |
Edizione | [1st ed. 2004.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 |
Descrizione fisica | 1 online resource (X, 306 p.) |
Disciplina | 515.732 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Functional analysis
Convex geometry Discrete geometry Probabilities Functional Analysis Convex and Discrete Geometry Probability Theory and Stochastic Processes |
ISBN | 3-540-44489-0 |
Classificazione | 46-06 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Title -- Preface -- The Start of GAFA Seminar Notes: Some Memories After 20 Years of Activity -- Contents -- 1 Introduction -- 2 Proof of Theorem 2 -- References -- 0 Introduction -- 1 Background -- 2 Hard Lefschetz Theorem for Even Valuations -- 3 The Case of Odd Valuations -- 4 Hard Lefschetz Theorem for Even Valuations from [A4] -- References -- References -- 1 Introduction -- 2 Decay of Norm for a Single Point -- 3 Decay of Diameter of a Convex Body -- 4 Remarks -- 5 Appendix -- References -- 1 A Construction of the Brenier Map -- 2 The Brunn-Minkowski Inequality -- 3 The Marton-Talagrand Inequality -- References -- 1 Introduction -- 2 The Approximation Argument -- 3 The Continuous Version of the Inequalities -- References -- 1 Introduction -- 2 Proof of the Inverse Brascamp-Lieb Inequality -- 3 The Brascamp-Lieb Inequality -- References -- References -- 1 Introduction -- 2 A Distributional Inequality -- 3 Application to Certain Lattice Schrödinger Operators -- 4 A Continuum Model -- 5 Remark on the IDS of the 1-D Bernoulli Model with Weak Disorder -- References -- 1 Introduction -- 2 Symmetrization -- 2.1 Definition -- 2.2 The Effect of a Symmetrization on the Isotropic Constant -- 3 Use of an M -Ellipsoid -- 4 Proof of the Reduction to Bodies with Finite Volume Ratio -- 4.1 Controlling the Axes of an M -Ellipsoid -- 4.2 Finite Volume Ratio -- 5 The Isotropic Position and an M -Ellipsoid -- 6 Appendix: Concave Functions -- References -- References -- 1 Introduction -- 2 On a Geometric Inequality and the Extremal Properties of Euclidean Balls -- 3 Deviation from l2-Estimate -- 4 Random Cotype 2 Property -- 5 Spherical Uniform Distribution -- 6 Can We Check in a "Reasonable Time" that a Normed Space Is Very Far from Euclidean? -- References -- 1 Introduction.
2 Tight Embeddings of Euclidean Spaces in Symmetric Spaces and of Symmetric Spaces in Spaces -- 3 Complemented Subspaces of with Unconditional Bases -- References -- 1 Introduction -- 2 Uniqueness -- 3 Extremality Conditions -- 4 Different Bodies Have Different Maps -- 5 Various Optimization Problems -- References -- 0 Introduction -- 1 Definitions and Notations -- 2 The Minimal Volume Ellipsoid of a Symmetric Convex Body -- 3 Convex Bodies in M-Position -- 4 Main Results in the Non-symmetric Case -- 5 Technical Remarks and Improvements -- 6 The Symmetric Quasi-Convex Case -- References -- 1 Introduction -- 2 A General Scheme -- 3 Asymptotic Lower Bound for dist -- 4 The 2-Dimensional Case -- References -- 1 Introduction -- 2 Glivenko-Cantelli Classes and Learnability -- 2.1 The Classical Approach -- 2.2 Talagrand's Inequality for Empirical Processes -- 3 Uniform Measures of Complexity -- 3.1 Metric Entropy and the Combinatorial Dimension -- 3.2 Random Averages and the Combinatorial Dimension -- 3.3 Phase Transitions in GC Classes -- 3.4 Concentration of the Combinatorial Dimension -- 4 Learning Sample Complexity and Error Bounds -- 4.1 Error Bounds -- 4.2 Comparing Structures -- 5 Estimating the Localized Averages -- 5.1 Localized Averages -- 5.2 Data Dependent Bounds -- 5.3 Geometric Interpretation -- 6 Bernstein Type of Loss Classes -- 7 Classes of Linear Functionals -- 8 Concluding Remarks -- References -- 1 Introduction -- 2 Essential Uniqueness of M -Ellipsoids -- References -- 1 Frameworks and Models -- 1.1 Generalities -- 1.2 Interactions -- 1.3 Thermodynamic Limit of the Ground State Energy -- 2 Thermodynamic Limit in the Case of Short Range Interaction -- 3 Thermodynamic Limit for Mean Field Type Models -- 3.1 Weak Selfaveraging Property -- 3.2 Strong Selfaveraging Property of the Free Energy. 4 Two Simple Models with Phase Transitions -- 4.1 Kac Model -- 4.2 Spherical Model -- 4.3 Concluding Remarks on Phase Transitions -- References -- References -- 1 Introduction -- 2 Proof of the Theorem -- References -- Israel GAFA Seminar (2002-2004) -- PIMS Thematic Programme on Asymptotic Geometric Analysis at the University of British Columbia (Summer 2002) -- Conference on Convexity and Asymptotic Theory of Normed Spaces -- Concentration Period on Measure Transportation and Geometric Inequalities -- Conference on Phenomena of Large Dimensions -- Conference on Non-commutative Phenomena and Random Matrices -- Conference on Banach Spaces -- Banach Spaces and Convex Geometric Analysis (April, 2003) -- Paris GAFA Seminar (Summer 2003) -- GAFA Session Joint Meeting of the New Zealand Mathematical Society and Israel Mathematical Union (Wellington, February 2004). |
Record Nr. | UNISA-996466483903316 |
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|