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Flat level set regularity of p-Laplace phase transitions / / Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin
Flat level set regularity of p-Laplace phase transitions / / Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin
Autore Valdinoci Enrico <1974->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2006]
Descrizione fisica 1 online resource (158 p.)
Disciplina 510 s
515/.39
Collana Memoirs of the American Mathematical Society
Soggetto topico Geometry, Differential
Laplacian operator
Level set methods
Soggetto genere / forma Electronic books.
ISBN 1-4704-0462-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Modifications of the potential and of one-dimensional solutions""; ""Chapter 3. Geometry of the touching points""; ""Chapter 4. Measure theoretic results""; ""Chapter 5. Estimates on the measure of the projection of the contact set""; ""Chapter 6. Proof of Theorem 1.1""; ""Chapter 7. Proof of Theorem 1.2""; ""Chapter 8. Proof of Theorem 1.3""; ""Chapter 9. Proof of Theorem 1.4""; ""Appendix A. Proof of the measure theoretic results""; ""A.1. Proof of Lemma 4.1""; ""A.2. Proof of Lemma 4.2""; ""A.3. Proof of Lemma 4.3""
""Appendix B. Summary of elementary lemmata""""Bibliography""
Record Nr. UNINA-9910481007103321
Valdinoci Enrico <1974->  
Providence, Rhode Island : , : American Mathematical Society, , [2006]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Flat level set regularity of p-Laplace phase transitions / / Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin
Flat level set regularity of p-Laplace phase transitions / / Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin
Autore Valdinoci Enrico <1974->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2006]
Descrizione fisica 1 online resource (158 p.)
Disciplina 510 s
515/.39
Collana Memoirs of the American Mathematical Society
Soggetto topico Geometry, Differential
Laplacian operator
Level set methods
ISBN 1-4704-0462-1
Classificazione 31.52
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Modifications of the potential and of one-dimensional solutions""; ""Chapter 3. Geometry of the touching points""; ""Chapter 4. Measure theoretic results""; ""Chapter 5. Estimates on the measure of the projection of the contact set""; ""Chapter 6. Proof of Theorem 1.1""; ""Chapter 7. Proof of Theorem 1.2""; ""Chapter 8. Proof of Theorem 1.3""; ""Chapter 9. Proof of Theorem 1.4""; ""Appendix A. Proof of the measure theoretic results""; ""A.1. Proof of Lemma 4.1""; ""A.2. Proof of Lemma 4.2""; ""A.3. Proof of Lemma 4.3""
""Appendix B. Summary of elementary lemmata""""Bibliography""
Record Nr. UNINA-9910788742103321
Valdinoci Enrico <1974->  
Providence, Rhode Island : , : American Mathematical Society, , [2006]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Flat level set regularity of p-Laplace phase transitions / / Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin
Flat level set regularity of p-Laplace phase transitions / / Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin
Autore Valdinoci Enrico <1974->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2006]
Descrizione fisica 1 online resource (158 p.)
Disciplina 510 s
515/.39
Collana Memoirs of the American Mathematical Society
Soggetto topico Geometry, Differential
Laplacian operator
Level set methods
ISBN 1-4704-0462-1
Classificazione 31.52
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Modifications of the potential and of one-dimensional solutions""; ""Chapter 3. Geometry of the touching points""; ""Chapter 4. Measure theoretic results""; ""Chapter 5. Estimates on the measure of the projection of the contact set""; ""Chapter 6. Proof of Theorem 1.1""; ""Chapter 7. Proof of Theorem 1.2""; ""Chapter 8. Proof of Theorem 1.3""; ""Chapter 9. Proof of Theorem 1.4""; ""Appendix A. Proof of the measure theoretic results""; ""A.1. Proof of Lemma 4.1""; ""A.2. Proof of Lemma 4.2""; ""A.3. Proof of Lemma 4.3""
""Appendix B. Summary of elementary lemmata""""Bibliography""
Record Nr. UNINA-9910828648703321
Valdinoci Enrico <1974->  
Providence, Rhode Island : , : American Mathematical Society, , [2006]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Level set methods and dynamic implicit surfaces / Stanley Osher, Ronald Fedkiw
Level set methods and dynamic implicit surfaces / Stanley Osher, Ronald Fedkiw
Autore Osher, Stanley
Pubbl/distr/stampa New York : Springer, c2003
Descrizione fisica xiii, 273 p., [16] p. of plates : ill. (some col.) ; 24 cm
Disciplina 515.8
Altri autori (Persone) Fedkiw, Ronald P.
Collana Applied mathematical sciences, 0066-5452 ; 153
Soggetto topico Level set methods
Implicit functions
ISBN 0387954821
Classificazione AMS 65M
LC QA1.A647
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000633459707536
Osher, Stanley  
New York : Springer, c2003
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Level sets and extrema of random processes and fields [[electronic resource] /] / Jean-Marc Azaïs, Mario Wschebor
Level sets and extrema of random processes and fields [[electronic resource] /] / Jean-Marc Azaïs, Mario Wschebor
Autore Azaïs Jean-Marc <1957->
Pubbl/distr/stampa Hoboken, N.J., : Wiley, c2009
Descrizione fisica 1 online resource (407 p.)
Disciplina 519.2/3
Altri autori (Persone) WscheborMario
Soggetto topico Gaussian processes
Level set methods
Random fields
Stochastic processes
ISBN 1-282-68723-9
9786612687235
0-470-43464-3
0-470-43463-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto LEVEL SETS AND EXTREMA OF RANDOM PROCESSES AND FIELDS; CONTENTS; PREFACE; INTRODUCTION; 1 CLASSICAL RESULTS ON THE REGULARITY OF PATHS; 1.1 Kolmogorov's Extension Theorem; 1.2 Reminder on the Normal Distribution; 1.3 0-1 Law for Gaussian Processes; 1.4 Regularity of Paths; Exercises; 2 BASIC INEQUALITIES FOR GAUSSIAN PROCESSES; 2.1 Slepian Inequalities; 2.2 Ehrhard's Inequality; 2.3 Gaussian Isoperimetric Inequality; 2.4 Inequalities for the Tails of the Distribution of the Supremum; 2.5 Dudley's Inequality; Exercises; 3 CROSSINGS AND RICE FORMULAS FOR ONE-DIMENSIONAL PARAMETER PROCESSES
3.1 Rice Formulas3.2 Variants and Examples; Exercises; 4 SOME STATISTICAL APPLICATIONS; 4.1 Elementary Bounds for P{M >u}; 4.2 More Detailed Computation of the First Two Moments; 4.3 Maximum of the Absolute Value; 4.4 Application to Quantitative Gene Detection; 4.5 Mixtures of Gaussian Distributions; Exercises; 5 THE RICE SERIES; 5.1 The Rice Series; 5.2 Computation of Moments; 5.3 Numerical Aspects of the Rice Series; 5.4 Processes with Continuous Paths; 6 RICE FORMULAS FOR RANDOM FIELDS; 6.1 Random Fields from R(d) to R(d); 6.2 Random Fields from R(d) to R(d ́), d > d ́; Exercises
7 REGULARITY OF THE DISTRIBUTION OF THE MAXIMUM7.1 Implicit Formula for the Density of the Maximum; 7.2 One-Parameter Processes; 7.3 Continuity of the Density of the Maximum of Random Fields; Exercises; 8 THE TAIL OF THE DISTRIBUTION OF THE MAXIMUM; 8.1 One-Dimensional Parameter: Asymptotic Behavior of the Derivatives of F(M); 8.2 An Application to Unbounded Processes; 8.3 A General Bound for p(M); 8.4 Computing (x) for Stationary Isotropic Gaussian Fields; 8.5 Asymptotics as x +; 8.6 Examples; Exercises; 9 THE RECORD METHOD; 9.1 Smooth Processes with One-Dimensional Parameters
9.2 Nonsmooth Gaussian Processes9.3 Two-Parameter Gaussian Processes; Exercises; 10 ASYMPTOTIC METHODS FOR AN INFINITE TIME HORIZON; 10.1 Poisson Character of High Up-Crossings; 10.2 Central Limit Theorem for Nonlinear Functionals; Exercises; 11 GEOMETRIC CHARACTERISTICS OF RANDOM SEA WAVES; 11.1 Gaussian Model for an Infinitely Deep Sea; 11.2 Some Geometric Characteristics of Waves; 11.3 Level Curves, Crests, and Velocities for Space Waves; 11.4 Real Data; 11.5 Generalizations of the Gaussian Model; Exercises; 12 SYSTEMS OF RANDOM EQUATIONS; 12.1 The Shub-Smale Model
12.2 More General Models12.3 Noncentered Systems (Smoothed Analysis); 12.4 Systems Having a Law Invariant Under Orthogonal Transformations and Translations; 13 RANDOM FIELDS AND CONDITION NUMBERS OF RANDOM MATRICES; 13.1 Condition Numbers of Non-Gaussian Matrices; 13.2 Condition Numbers of Centered Gaussian Matrices; 13.3 Noncentered Gaussian Matrices; REFERENCES AND SUGGESTED READING; NOTATION; INDEX
Record Nr. UNINA-9910145955303321
Azaïs Jean-Marc <1957->  
Hoboken, N.J., : Wiley, c2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Level sets and extrema of random processes and fields [[electronic resource] /] / Jean-Marc Azaïs, Mario Wschebor
Level sets and extrema of random processes and fields [[electronic resource] /] / Jean-Marc Azaïs, Mario Wschebor
Autore Azaïs Jean-Marc <1957->
Pubbl/distr/stampa Hoboken, N.J., : Wiley, c2009
Descrizione fisica 1 online resource (407 p.)
Disciplina 519.2/3
Altri autori (Persone) WscheborMario
Soggetto topico Gaussian processes
Level set methods
Random fields
Stochastic processes
ISBN 1-282-68723-9
9786612687235
0-470-43464-3
0-470-43463-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto LEVEL SETS AND EXTREMA OF RANDOM PROCESSES AND FIELDS; CONTENTS; PREFACE; INTRODUCTION; 1 CLASSICAL RESULTS ON THE REGULARITY OF PATHS; 1.1 Kolmogorov's Extension Theorem; 1.2 Reminder on the Normal Distribution; 1.3 0-1 Law for Gaussian Processes; 1.4 Regularity of Paths; Exercises; 2 BASIC INEQUALITIES FOR GAUSSIAN PROCESSES; 2.1 Slepian Inequalities; 2.2 Ehrhard's Inequality; 2.3 Gaussian Isoperimetric Inequality; 2.4 Inequalities for the Tails of the Distribution of the Supremum; 2.5 Dudley's Inequality; Exercises; 3 CROSSINGS AND RICE FORMULAS FOR ONE-DIMENSIONAL PARAMETER PROCESSES
3.1 Rice Formulas3.2 Variants and Examples; Exercises; 4 SOME STATISTICAL APPLICATIONS; 4.1 Elementary Bounds for P{M >u}; 4.2 More Detailed Computation of the First Two Moments; 4.3 Maximum of the Absolute Value; 4.4 Application to Quantitative Gene Detection; 4.5 Mixtures of Gaussian Distributions; Exercises; 5 THE RICE SERIES; 5.1 The Rice Series; 5.2 Computation of Moments; 5.3 Numerical Aspects of the Rice Series; 5.4 Processes with Continuous Paths; 6 RICE FORMULAS FOR RANDOM FIELDS; 6.1 Random Fields from R(d) to R(d); 6.2 Random Fields from R(d) to R(d ́), d > d ́; Exercises
7 REGULARITY OF THE DISTRIBUTION OF THE MAXIMUM7.1 Implicit Formula for the Density of the Maximum; 7.2 One-Parameter Processes; 7.3 Continuity of the Density of the Maximum of Random Fields; Exercises; 8 THE TAIL OF THE DISTRIBUTION OF THE MAXIMUM; 8.1 One-Dimensional Parameter: Asymptotic Behavior of the Derivatives of F(M); 8.2 An Application to Unbounded Processes; 8.3 A General Bound for p(M); 8.4 Computing (x) for Stationary Isotropic Gaussian Fields; 8.5 Asymptotics as x +; 8.6 Examples; Exercises; 9 THE RECORD METHOD; 9.1 Smooth Processes with One-Dimensional Parameters
9.2 Nonsmooth Gaussian Processes9.3 Two-Parameter Gaussian Processes; Exercises; 10 ASYMPTOTIC METHODS FOR AN INFINITE TIME HORIZON; 10.1 Poisson Character of High Up-Crossings; 10.2 Central Limit Theorem for Nonlinear Functionals; Exercises; 11 GEOMETRIC CHARACTERISTICS OF RANDOM SEA WAVES; 11.1 Gaussian Model for an Infinitely Deep Sea; 11.2 Some Geometric Characteristics of Waves; 11.3 Level Curves, Crests, and Velocities for Space Waves; 11.4 Real Data; 11.5 Generalizations of the Gaussian Model; Exercises; 12 SYSTEMS OF RANDOM EQUATIONS; 12.1 The Shub-Smale Model
12.2 More General Models12.3 Noncentered Systems (Smoothed Analysis); 12.4 Systems Having a Law Invariant Under Orthogonal Transformations and Translations; 13 RANDOM FIELDS AND CONDITION NUMBERS OF RANDOM MATRICES; 13.1 Condition Numbers of Non-Gaussian Matrices; 13.2 Condition Numbers of Centered Gaussian Matrices; 13.3 Noncentered Gaussian Matrices; REFERENCES AND SUGGESTED READING; NOTATION; INDEX
Record Nr. UNINA-9910826818803321
Azaïs Jean-Marc <1957->  
Hoboken, N.J., : Wiley, c2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui