XII Symposium of Probability and Stochastic Processes :
General Material Designation
[Book]
Other Title Information
Merida, Mexico, November 16--20, 2015 /
First Statement of Responsibility
Daniel Hernández-Hernández, Juan Carlos Pardo, Victor Rivero, editors.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham, Switzerland :
Name of Publisher, Distributor, etc.
Birkhäuser,
Date of Publication, Distribution, etc.
2018.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource
SERIES
Series Title
Progress in probability ;
Volume Designation
73
CONTENTS NOTE
Text of Note
Intro; Introduction; Contents; Part I Courses; Scaling Limits of Markov-Branching Trees and Applications; 1 Introduction; 2 Discrete Trees, Examples and Motivations; 2.1 Discrete Trees; 2.2 First Examples; 2.3 The Markov-Branching Property; 3 The Example of Galton-Watson Trees and Topological Framework; 3.1 Real Trees and the Gromov-Hausdorff Topology; 3.2 Scaling Limits of Conditioned Galton-Watson Trees; 4 Scaling Limits of Markov-Branching Trees; 4.1 A Markov Chain in the Markov-Branching Sequence of Trees; 4.2 Scaling Limits of Non-increasing Markov Chains
Text of Note
2.2 Scale Functions2.3 Smoothness of Scale Functions; 2.4 Fluctuation Identities for Spectrally Negative Lévy Processes; 2.4.1 Two-Sided Exit; 2.4.2 Resolvent Measures; 2.5 Fluctuation Identities for the Infimum and Reflected Processes; 2.5.1 Fluctuation Identities for the Infimum Process; 2.5.2 Fluctuation Identities for tb; 2.5.3 Fluctuation Identities for Yta; 2.6 Fluctuation Identities for Doubly Reflected Lévy Processes; 2.7 Other Properties of the Scale Function; 2.7.1 Asymptotics as x →∞; 2.7.2 Log-Concavity; 2.7.3 Martingale Properties; 2.8 Some Further Notations
Text of Note
3 Two-Sided Singular Control3.1 The Double Reflection Strategy; 3.2 Smoothness of the Value Function; 3.3 Existence of (a*, b*); 3.3.1 The Case of Example 3.1; 3.3.2 The Case of Example 3.2; 3.3.3 The Case of Example 3.3; 3.4 Variational Inequalities and Verification; 4 Impulse Control; 4.1 The (s, S)-Strategy; 4.2 Smoothness of the Value Function; 4.2.1 The Case of Example 4.3; 4.2.2 Brief Remarks on the Cases of Examples 4.1 and 4.2; 4.3 Quasi-Variational Inequalities and Verification; 4.3.1 The Case of Example 4.3; 4.3.2 Brief Remarks on the Cases of Examples 4.1 and 4.2
Text of Note
4.3 Self-Similar Fragmentation Trees4.3.1 Self-Similar Fragmentation Processes; 4.3.2 Self-Similar Fragmentation Trees; 4.4 Scaling Limits of Markov-Branching Trees; 5 Applications; 5.1 Galton-Watson Trees; 5.1.1 Galton-Watson Trees with n Vertices; 5.1.2 Galton-Watson Trees with Arbitrary Degree Constraints; 5.2 Pólya Trees; 5.3 Dynamical Models of Tree Growth; 5.3.1 Ford's Alpha Model; 5.3.2 k-Ary Growing Trees; 5.3.3 Marginals of Stable Trees; 5.4 Cut-Trees; 6 Further Perspectives; 6.1 Multi-Type Markov-Branching Trees and Applications; 6.2 Local Limits
Text of Note
6.3 Related Random Geometric StructuresReferences; Optimality of Two-Parameter Strategies in Stochastic Control; 1 Introduction; 1.1 One-Parameter Strategies; 1.2 Two-Parameter Strategies; 1.2.1 Two-Sided Singular Control; 1.2.2 Impulse Control; 1.2.3 Zero-Sum Games Between Two Players; 1.3 Fluctuation Theory of Spectrally One-Sided Lévy Processes; 1.4 Solution Procedures; 1.4.1 Selection of the Two Parameters; 1.4.2 Verification of Optimality; 1.5 Comparison with Other Approaches; 1.6 Computation; 2 Spectrally Negative Lévy Processes and Scale Functions; 2.1 Path Variations and Regularity
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SUMMARY OR ABSTRACT
Text of Note
This volume contains the proceedings of the XII Symposium of Probability and Stochastic Processes which took place at Universidad Autonoma de Yucatan in Merida, Mexico, on November 16-20, 2015. This meeting was the twelfth meeting in a series of ongoing biannual meetings aimed at showcasing the research of Mexican probabilists as well as promote new collaborations between the participants. The book features articles drawn from different research areas in probability and stochastic processes, such as: risk theory, limit theorems, stochastic partial differential equations, random trees, stochastic differential games, stochastic control, and coalescence. Two of the main manuscripts survey recent developments on stochastic control and scaling limits of Markov-branching trees, written by Kazutoshi Yamasaki and Bénédicte Haas, respectively. The research-oriented manuscripts provide new advances in active research fields in Mexico. The wide selection of topics makes the book accessible to advanced graduate students and researchers in probability and stochastic processes.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9783319776439
TOPICAL NAME USED AS SUBJECT
Probabilities, Congresses.
Stochastic processes, Congresses.
Calculus of variations.
Cybernetics & systems theory.
Differential calculus & equations.
Game theory.
MATHEMATICS-- Applied.
MATHEMATICS-- Probability & Statistics-- General.
Probabilities.
Probability & statistics.
Stochastic processes.
(SUBJECT CATEGORY (Provisional
MAT-- 003000
MAT-- 029000
DEWEY DECIMAL CLASSIFICATION
Number
519
.
2
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA273
.
A1
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Hernández-Hernández, Daniel
Pardo, Juan Carlos
Rivero, Victor
CORPORATE BODY NAME - PRIMARY RESPONSIBILITY
Symposium on Probability and Stochastic Processes(12th :2015 :, Mérida, Mexico)