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Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar 2006–2010 / / edited by Bo'az Klartag, Shahar Mendelson, Vitali D. Milman
| 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 2002-2003 / / edited by Vitali D. Milman, Gideon Schechtman
| 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 | ||
| ||
Geometric Aspects of Functional Analysis : Israel Seminar 2002-2003 / / edited by Vitali D. Milman, Gideon Schechtman
| Geometric Aspects of Functional Analysis : 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 2001-2002 / / edited by Vitali D. Milman, Gideon Schechtman
| Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar 2001-2002 / / edited by Vitali D. Milman, Gideon Schechtman |
| Edizione | [1st ed. 2003.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 |
| Descrizione fisica | 1 online resource (VIII, 432 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 | 3-540-36428-5 |
| Classificazione | 46-06 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- F. Barthe, M. Csörnyei and A. Naor: A Note on Simultaneous Polar and Cartesian Decomposition -- A. Barvinok: Approximating a Norm by a Polynomial -- S.G. Bobkov: Concentration of Distributions of the Weighted Sums with Bernoullian Coefficients -- S.G. Bobkov: Spectral Gap and Concentration for Some Spherically Symmetric Probability Measures -- S.G. Bobkov and A. Koldobsky: On the Central Limit Property of Convex Bodies -- S.G. Bobkov and F.L. Nazarov: On Convex Bodies and Log-Concave Probability Measures with Unconditional Basis -- J. Bourgain: Random Lattice Schrödinger Operators with Decaying Potential: Some Higher Dimensional Phenomena -- J. Bourgain: On Long-Time Behaviour of Solutions of Linear Schrödinger Equations with Smooth Time-Dependent Potential -- J. Bourgain: On the Isotropy-Constant Problem for 'PSI-2'-Bodies -- E.D. Gluskin: On the Sum of Intervals -- E. Gluskin and V. Milman: Note on the Geometric-Arithmetic Mean Inequality -- O. Guédon and A. Zvavitch: Supremum of a Process in Terms of Trees -- O. Maleva: Point Preimages under Ball Non-Collapsing Mappings -- V. Milman and R. Wagner: Some Remarks on a Lemma of Ran Raz -- F. Nazarov: On the Maximal Perimeter of a Convex Set in R^n with Respect to a Gaussian Measure -- K. Oleszkiewicz: On p-Pseudostable Random Variables, Rosenthal Spaces and l_p^n Ball Slicing -- G. Paouris: Psi_2-Estimates for Linear Functionals on Zonoids -- G. Schechtman, N. Tomczak-Jaegermann and R. Vershynin: Maximal l_p^n-Structures in Spaces with Extremal Parameters -- C. Schütt and E. Werner: Polytopes with Vertices Chosen Randomly from the Boundary of a Convex Body -- Seminar Talks (with Related Workshop and Conference Talks). |
| Record Nr. | UNISA-996466589603316 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Geometric Aspects of Functional Analysis : Israel Seminar 2001-2002 / / edited by Vitali D. Milman, Gideon Schechtman
| Geometric Aspects of Functional Analysis : Israel Seminar 2001-2002 / / edited by Vitali D. Milman, Gideon Schechtman |
| Edizione | [1st ed. 2003.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 |
| Descrizione fisica | 1 online resource (VIII, 432 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 | 3-540-36428-5 |
| Classificazione | 46-06 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- F. Barthe, M. Csörnyei and A. Naor: A Note on Simultaneous Polar and Cartesian Decomposition -- A. Barvinok: Approximating a Norm by a Polynomial -- S.G. Bobkov: Concentration of Distributions of the Weighted Sums with Bernoullian Coefficients -- S.G. Bobkov: Spectral Gap and Concentration for Some Spherically Symmetric Probability Measures -- S.G. Bobkov and A. Koldobsky: On the Central Limit Property of Convex Bodies -- S.G. Bobkov and F.L. Nazarov: On Convex Bodies and Log-Concave Probability Measures with Unconditional Basis -- J. Bourgain: Random Lattice Schrödinger Operators with Decaying Potential: Some Higher Dimensional Phenomena -- J. Bourgain: On Long-Time Behaviour of Solutions of Linear Schrödinger Equations with Smooth Time-Dependent Potential -- J. Bourgain: On the Isotropy-Constant Problem for 'PSI-2'-Bodies -- E.D. Gluskin: On the Sum of Intervals -- E. Gluskin and V. Milman: Note on the Geometric-Arithmetic Mean Inequality -- O. Guédon and A. Zvavitch: Supremum of a Process in Terms of Trees -- O. Maleva: Point Preimages under Ball Non-Collapsing Mappings -- V. Milman and R. Wagner: Some Remarks on a Lemma of Ran Raz -- F. Nazarov: On the Maximal Perimeter of a Convex Set in R^n with Respect to a Gaussian Measure -- K. Oleszkiewicz: On p-Pseudostable Random Variables, Rosenthal Spaces and l_p^n Ball Slicing -- G. Paouris: Psi_2-Estimates for Linear Functionals on Zonoids -- G. Schechtman, N. Tomczak-Jaegermann and R. Vershynin: Maximal l_p^n-Structures in Spaces with Extremal Parameters -- C. Schütt and E. Werner: Polytopes with Vertices Chosen Randomly from the Boundary of a Convex Body -- Seminar Talks (with Related Workshop and Conference Talks). |
| Record Nr. | UNINA-9910144633803321 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||