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Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar (GAFA) 2014–2016 / / edited by Bo'az Klartag, Emanuel Milman
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
Opac: Controlla la disponibilità qui
Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar (GAFA) 2011-2013 / / edited by Bo'az Klartag, Emanuel Milman
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
Opac: Controlla la disponibilità qui
Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar (GAFA) 2011-2013 / / edited by Bo'az Klartag, Emanuel Milman
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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. UNINA-9910482991103321
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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. UNINA-9910144618203321
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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. UNINA-9910144633803321
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar 1996-2000 / / edited by V.D. Milman, G. Schechtman
Geometric Aspects of Functional Analysis [[electronic resource] ] : Israel Seminar 1996-2000 / / edited by V.D. Milman, G. Schechtman
Edizione [1st ed. 2000.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000
Descrizione fisica 1 online resource (X, 298 p.)
Disciplina 510 s
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 3-540-45392-X
Classificazione 46-06
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto The transportation cost for the cube -- The uniform concentration of measure phenomenon in ? p n (1 ? p ? 2) -- An editorial comment on the preceding paper -- A remark on the slicing problem -- Remarks on the growth of L p -norms of polynomials -- Positive lyapounov exponents for most energies -- Anderson localization for the band model -- Convex bodies with minimal mean width -- Euclidean projections of a p-convex body -- Remarks on minkowski symmetrizations -- Average volume of sections of star bodies -- Between sobolev and poincaré -- Random aspects of high-dimensional convex bodies -- A geometric lemma and duality of entropy numbers -- Stabilized asymptotic structures and envelopes in banach spaces -- On the isotropic constant of Non-symmetric convex bodies -- Concentration on the ? p n ball -- Shannon’s entropy power inequality via restricted minkowski sums -- Notes on an inequality by pisier for functions on the discrete cube -- More on embedding subspaces of L p into ? p N , 0 p < 1 -- Seminar talks.
Record Nr. UNISA-996466524803316
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui