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1. Sharp Martingale and Semimartingale Inequalities
by Adam Osękowski
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2012
シリーズ名: Monografie Matematyczne ; 72
オンライン: http://dx.doi.org/10.1007/978-3-0348-0370-0
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目次情報:
Preface.- 1. Introduction.- 2. Burkholder’s method.- 3. Martingale inequalities in discrete time.- 4. Sub- and supermartingale inequalities in discrete time.- 5. Inequalities in continuous time.- 6. Inequalities for orthogonal semimartingales.- 7. Maximal inequalities.- 8. Square function inequalities
Appendix
Bibliography
Preface.- 1. Introduction.- 2. Burkholder’s method.- 3. Martingale inequalities in discrete time.- 4. Sub- and supermartingale inequalities in discrete time.- 5. Inequalities in continuous time.- 6. Inequalities for orthogonal semimartingales.- 7. Maximal inequalities.- 8. Square function inequalities
Appendix
Bibliography
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2. Potential Analysis of Stable Processes and its Extensions
by Krzysztof Bogdan, Tomasz Byczkowski, Tadeusz Kulczycki, Michal Ryznar, Renming Song, Zoran Vondracek ; edited by Piotr Graczyk, Andrzej Stos
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1980
オンライン: http://dx.doi.org/10.1007/978-3-642-02141-1
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3. Markov Paths, Loops and Fields : École d'Été de Probabilités de Saint-Flour XXXVIII – 2008
by Yves Le Jan
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2026
オンライン: http://dx.doi.org/10.1007/978-3-642-21216-1
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4. Random Walks on Disordered Media and their Scaling Limits : École d'Été de Probabilités de Saint-Flour XL - 2010
by Takashi Kumagai
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2101
オンライン: http://dx.doi.org/10.1007/978-3-319-03152-1
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目次情報: 続きを見る
Introduction
Weighted graphs and the associated Markov chains
Heat kernel estimates – General theory
Heat kernel estimates using effective resistance
Heat kernel estimates for random weighted graphs
Alexander-Orbach conjecture holds when two-point functions behave nicely
Further results for random walk on IIC
Random conductance model
Introduction
Weighted graphs and the associated Markov chains
Heat kernel estimates – General theory
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5. Brownian Motion and its Applications to Mathematical Analysis : École d'Été de Probabilités de Saint-Flour XLIII – 2013
by Krzysztof Burdzy
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2106
オンライン: http://dx.doi.org/10.1007/978-3-319-04394-4
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目次情報: 続きを見る
1. Brownian motion
2. Probabilistic proofs of classical theorems
3. Overview of the "hot spots" problem
4. Neumann eigenfunctions and eigenvalues
5. Synchronous and mirror couplings
6. Parabolic boundary Harnack principle
7. Scaling coupling
8. Nodal lines
9. Neumann heat kernel monotonicity
10. Reflected Brownian motion in time dependent domains
1. Brownian motion
2. Probabilistic proofs of classical theorems
3. Overview of the "hot spots" problem
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6. Inverse M-Matrices and Ultrametric Matrices
by Claude Dellacherie, Servet Martinez, Jaime San Martin
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2118
オンライン: http://dx.doi.org/10.1007/978-3-319-10298-6
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目次情報: 続きを見る
Inverse M - matrices and potentials
Ultrametric Matrices
Graph of Ultrametric Type Matrices
Filtered Matrices
Hadamard Functions of Inverse M - matrices
Notes and Comments Beyond Matrices
Basic Matrix Block Formulae
Symbolic Inversion of a Diagonally Dominant M - matrices
Bibliography
Index of Notations
Index
Inverse M - matrices and potentials
Ultrametric Matrices
Graph of Ultrametric Type Matrices