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1. Counting Statistics for Dependent Random Events : With a Focus on Finance. 1st ed. 2021
by Enrico Bernardi, Silvia Romagnoli
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-3-030-64250-1
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Preface
I The Main Ingredients
1 Clustering
2 Copula Function and C-volume
3 Combinatorics and Random Matrices: A Brief Review
II Mixing the Ingredients: A Recipe for a New Aggregation Algorithm
4 Counting a Random Event: Traditional Approach and New Perspectives
5 A New Copula-based Approach for Counting: The Distorted and the Limiting Case
6 Real Data Empirical Applications
Preface
I The Main Ingredients
1 Clustering
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2. Morphological Models of Random Structures. 1st ed. 2021
by Dominique Jeulin
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Interdisciplinary Applied Mathematics ; 53
オンライン: https://doi.org/10.1007/978-3-030-75452-5
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1. Introduction
Part I Tools for Random Structures
2 Introduction to Random Closed Sets and to Semi-continuous Random Functions
3 Quantitative Analysis of Random Structures
Part II Models of Random Structures
4 Excursion sets of Gaussian RF
5 Stochastic Point Processes and Random Trees
6 Boolean Random Sets
7 Random Tessellations
8 The Mosaic Model
9 Boolean Random Functions
10 Random Tessellations and Boolean Random Functions
11 Dead Leaves Models: from Space Tessellations to Random Functions
12 Sequential Cox Boolean and Conditional Dead Leaves Models
13 Sequential Alternate Random Functions
14 Primary Grains and Primary Functions
15 Dilution Random Functions
16 Reaction-Diffusion and Lattice Gas Models
17 Texture Segmentation by Morphological Probabilistic Hierarchies
Part III Random Structures and Change of Scale
18 Change of Scale in Physics of Random Media
19 Digital Materials
20 Probabilistic Models for Fracture Statistics
21 Crack Paths in Random Media
1. Introduction
Part I Tools for Random Structures
2 Introduction to Random Closed Sets and to Semi-continuous Random Functions
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3. Advances in Probability and Mathematical Statistics : CLAPEM 2019, Mérida, Mexico. 1st ed. 2021
edited by Daniel Hernández‐Hernández, Florencia Leonardi, Ramsés H. Mena, Juan Carlos Pardo Millán
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Progress in Probability ; 79
オンライン: https://doi.org/10.1007/978-3-030-85325-9
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4. In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius. 1st ed. 2021
edited by Maria Eulália Vares, Roberto Fernández, Luiz Renato Fontes, Charles M. Newman
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Progress in Probability ; 77
オンライン: https://doi.org/10.1007/978-3-030-60754-8
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Preface
Publications of Vladas Sidoravicius
Existence and coexistence in first-passage percolation
Ground state stability in two spin glass models
Approximate and exact solutions of intertwining equations through random spanning forests
Bernoulli hyperplane percolation
Time correlation exponents in last passage percolation
On the four-arm exponent for 2D percolation at criticality
Universality of noise reinforced Brownian motions
Geodesic rays and exponents in ergodic planar first passage percolation
Avalanches in critical activated random walks
An overview of the balanced excited random walk
Limit theorems for loop soup random variables
The stable Derrida-Retaux system at criticality
A class of random walks on the hypercube
Non-optimality of invaded geodesics in 2d critical first-passage percolation
Empirical spectral distributions of sparse random graphs
Upper bounds on the percolation correlation length
The roles of random boundary conditions in spin systems
Central limit theorems for a driven particle in a random medium with mass aggregation
Structural properties of conditioned random walks on integer lattices with random local constraints
Random memory walk
Exponential decay in the loop...
Non-coupling from the past
Combinatorial universality in three-speed ballistic annihilation
Glauber dynamics on the Erdos-Renyi random graph
The parabolic Anderson model on a Galton-Watson tree
Reflecting random walks in curvilinear wedges
Noise stability of weighted majority
Scaling limits of linear random fields on Z2 with general dependence axis
Brownian aspects of the KPZ fixed point
How can the appropriate objective and predictive probabilities get into non-collapse quantum mechanics?
On one-dimensional multi-particle diffusion limited aggregation
On the C1 -property of the percolation function of random interlacements and a related variational problem
On clusters of Brownian loops in d dimensions
Preface
Publications of Vladas Sidoravicius
Existence and coexistence in first-passage percolation
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5. Foundations of Modern Probability. 3rd ed. 2021
by Olav Kallenberg
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Probability Theory and Stochastic Modelling ; 99
オンライン: https://doi.org/10.1007/978-3-030-61871-1
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Introduction and Reading Guide
I.Measure Theoretic Prerequisites: 1.Sets and functions, measures and integration
2.Measure extension and decomposition
3.Kernels, disintegration, and invariance
II.Some Classical Probability Theory: 4.Processes, distributions, and independence
5.Random sequences, series, and averages
6.Gaussian and Poisson convergence
7.Infinite divisibility and general null-arrays
III.Conditioning and Martingales: 8.Conditioning and disintegration
9.Optional times and martingales
10.Predictability and compensation
IV.Markovian and Related Structures:11.Markov properties and discrete-time chains
12.Random walks and renewal processes
13.Jump-type chains and branching processes
V.Some Fundamental Processes: 14.Gaussian processes and Brownian motion
15.Poisson and related processes
16.Independent-increment and Lévy processes
17.Feller processes and semi-groups
VI.Stochastic Calculus and Applications: 18.Itô integration and quadratic variation
19.Continuous martingales and Brownian motion
20.Semi-martingales and stochastic integration
21.Malliavin calculus
VII.Convergence and Approximation: 22.Skorohod embedding and functional convergence
23.Convergence in distribution
24.Large deviations
VIII.Stationarity, Symmetry and Invariance: 25.Stationary processes and ergodic theorems
26.Ergodic properties of Markov processes
27.Symmetric distributions and predictable maps
28.Multi-variate arrays and symmetries
IX.Random Sets and Measures: 29.Local time, excursions, and additive functionals
30.Random mesures, smoothing and scattering
31.Palm and Gibbs kernels, local approximation
X.SDEs, Diffusions, and Potential Theory: 32.Stochastic equations and martingale problems
33.One-dimensional SDEs and diffusions
34.PDE connections and potential theory
35.Stochastic differential geometry
Appendices
1.Measurable maps
2.General topology
3.Linear spaces
4.Linear operators
5.Function and measure spaces
6.Classes and spaces of sets,- 7.Differential geometry
Notes and References
Bibliography
Indices: Authors
Topics
Symbols
Introduction and Reading Guide
I.Measure Theoretic Prerequisites: 1.Sets and functions, measures and integration
2.Measure extension and decomposition
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6. Transcendence in Algebra, Combinatorics, Geometry and Number Theory : TRANS19 – Transient Transcendence in Transylvania, Brașov, Romania, May 13–17, 2019, Revised and Extended Contributions. 1st ed. 2021
edited by Alin Bostan, Kilian Raschel
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 373
オンライン: https://doi.org/10.1007/978-3-030-84304-5
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Frobenius action on a hypergeometric curve and an algorithm for computing values of Dwork’s p-adic hypergeometric functions (Asakura)
A Matrix version of Dwork’s Congruences (Beukers)
On the kernel curves associated with walks in the quarter plane (Singer)
A survey on the hypertranscendence of the solutions of the Schröder's, Böttcher's and Abel's equations (Fernandes)
Hodge structures and differential operators (Vlasenko)
Beck-type identities for Euler pairs of order (Welch et al.)
Quarter-plane lattice paths with interacting boundaries: the Kreweras and reverse Kreweras models (Xu et al.)
Infinite product formulae for generating functions for sequences of squares (Radu et al.)
A theta identity of Gauss connecting functions from additive and multiplicative number theory (Merca)
Combinatorial quantum field theory and the Jacobian conjecture (Tanasa)
How regular are regular singularities? (Hauser)
Néron desingularization of extensions of valuation rings with an appendix by kęstutis česnavičius (Popescu)
Diagonal Representation of Algebraic Power Series: A Glimpse Behind the Scenes (Yurkevich)
Proof of chudnovskys’ hypergeometric series for 1/π using weber modular polynomials (Guillera).-Computing an order-complete basis for m∞(n) and applications (Radu et al.)
An algorithm to prove holonomic differential equations for modular forms (Radu et al.)
A case study for ζ(4) (zudilin et al.)
Support of an algebraic series as the range of a recursive sequence (bell)
X-coordinates of pell equations in various sequences (luca)
A conditional proof of the leopoldt conjecture for cm fields (mihailescu)
Siegel’s problem for e-functions of order 2 (Roques et al.)
Irrationality and Transcendence of Alternating Series Via Continued Fractions (Snowdow)
On the transcendence of critical hecke l-values (sprang)
Frobenius action on a hypergeometric curve and an algorithm for computing values of Dwork’s p-adic hypergeometric functions (Asakura)
A Matrix version of Dwork’s Congruences (Beukers)
On the kernel curves associated with walks in the quarter plane (Singer)
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7. The Elements of Hawkes Processes. 1st ed. 2021
by Patrick J. Laub, Young Lee, Thomas Taimre
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-3-030-84639-8
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Background
Hawes Process Essentials
Simulation Methods
Likelihood Methods
EM Algorithm
Bayesian Methods
Spectral Methods
Goodness of Fit
Traditional Applications
Financial and Actuarial Applications
Biological Applications
Background
Hawes Process Essentials
Simulation Methods
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8. Introduction to Mathematical Systems Theory : Discrete Time Linear Systems, Control and Identification. 2nd ed. 2021
by Christiaan Heij, André C.M. Ran, Frederik van Schagen
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
オンライン: https://doi.org/10.1007/978-3-030-59654-5
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Preface
Dynamical Systems
Input-Output Systems
State Space Models
Stability
Optimal Control
Stochastic Systems
Filtering and Prediction
Stochastic Control
System Identification
Cycles and Trends
Further Developments
Preface
Dynamical Systems
Input-Output Systems
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9. A Lifetime of Excursions Through Random Walks and Lévy Processes : A Volume in Honour of Ron Doney's 80th Birthday. 1st ed. 2021
edited by Loïc Chaumont, Andreas E. Kyprianou
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Progress in Probability ; 78
オンライン: https://doi.org/10.1007/978-3-030-83309-1
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10. Topics in Groups and Geometry : Growth, Amenability, and Random Walks. 1st ed. 2021
by Tullio Ceccherini-Silberstein, Michele D'Adderio
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Monographs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-88109-2
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- Foreword
Preface
Part I Algebraic Theory: 1. Free Groups
2. Nilpotent Groups
3. Residual Finiteness and the Zassenhaus Filtration
4. Solvable Groups
5. Polycyclic Groups
6. The Burnside Problem
Part II Geometric Theory: 7. Finitely Generated Groups and Their Growth Functions
8. Hyperbolic Plane Geometry and the Tits Alternative
9. Topological Groups, Lie Groups, and Hilbert Fifth Problem
10. Dimension Theory
11. Ultrafilters, Ultraproducts, Ultrapowers, and Asymptotic Cones
12. Gromov’s Theorem
Part III Analytic and Probabilistic Theory: 13. The Theorems of Polya and Varopoulos
14. Amenability, Isoperimetric Profile, and Følner Functions
15. Solutions or Hints to Selected Exercises
References
Subject Index
Index of Authors
- Foreword
Preface
Part I Algebraic Theory: 1. Free Groups