Dissertation > Excellent graduate degree dissertation topics show
Some Properties and Functional Inequalities for Finite Particle Systems on Polish Spaces
Author: LanGuangQiang
Tutor: WangFengYu
School: Beijing Normal University
Course: Probability Theory and Mathematical Statistics
Keywords: Polish space particle system Dirichlet form regularity quasiregularity reactiondiffusion process stochastic process stochastic monotonicity orderpreservation preservation of positive correlations functional inequality
CLC: O211.6
Type: PhD thesis
Year: 2008
Downloads: 67
Quote: 0
Read: Download Dissertation
Abstract
In this thesis, we study the regularity, quasiregularity and functional inequalities of the Dirichlet forms for finite particle systems on Polish spaces, as well as the stochastic monotonicity and the preservation of positive correlations of the associated reaction process corresponding to the reaction particle system. To this end, we split the thesis into three parts.In the first part, we mainly consider the regularity and quasiregularity of the Dirichlet forms corresponding to the finite particle systems. To this end, we generalize the results and get the sufficient and necessary conditions for the sum of two or countably many Dirichlet forms to be regular or quasiregular.We consider in the second part the stochastic monotonicity and preservation of positive correlation of the process corresponding to the particle system when their is no diffusion (pure reaction). We get the sufficient and necessary conditions for the reaction process to be stochastic monotonic under certain conditions (e.g. in the birthdeath case). Consequently, we confirm that under these conditions the associated measurevalued process preserves positive correlations.In part three, results in [29] are extended to a more general reactiondiffusion model. Correspondence between the functional inequalities for the particle system and those for the underlying based process as well as estimates on inequality constants are provided.

Related Dissertations
 A class of branching processes with immigration limits of gender behavior,O211.6
 The Reliability Analysis of the System with Two Kinds of Wearout,O211.6
 Meansquare Henstock Integrals of Fuzzy Stochastic Processes,O211
 Complex network stability study,O157.5
 The Study and Application of Kinetic Monte Carlo Method in Multiscale Simulation,TM911.4
 Cough Powder treatment of chronic cough Compatibility Law,R256.11
 Study on the Occurrence Regularity and Migratory Biology of WhiteBaked Planthopper Sogatella Furcifera (Horváth),S435.112.3
 Enrichment Regularity of Heavy Metal in the Food Chain of Jinyang Lake Ecosystem,X835
 The Study of Patients of Acinetobacter Baumannii Colonized Epidemic Characteristics and Risk Factors in a Surgical ICU,R181.3
 Study on the Law of Manure Emissions and the Effect of Reduction by Duck Farm Controlled into the Baiyangdian from the Source,S834
 The Synthesis and Drug Controlled Release of Amphiphilic Isotactic Comblike Copolymers,O631.3
 The Analysis of the Luxury Brands Advertising Communication in China,F723
 Treatment of Skin Diseases by Jing Fang Khan Research the Law,R275
 Fragmentation of Triazole Nucleosides and Nitrogencontaining Bisphosphonates by Electrospray Ionization Mass Spectrometry,O621.3
 Studies on the Occurrence and Control Measures of Lygus Lcorum Mayer in Jujube in Tianjin Region,S436.65
 Basic Study on Accumulation and Utilization of Starch in Bulbs of Lycoris,S682.29
 Rreach on Stratapressure Behavior and Support Resistance of Large Mining Height in Fully Mechanized Mining Face of Shallow Seam,TD355
 Study on the Characteristics of Land Collapse and Failure Law of Overlying Strata in Coal Face of Huangling Mining Area,TD327
 Twodirection Refinement Equations and Construction of Wavelets with Good Properties,O174.2
 Studies on Antigenic Expression Phase and Distribution Regularity of DPV gC Gene Vaccine in the Vaccinated Ducklings,S852.5
CLC: > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Theory of probability ( probability theory, probability theory ) > Random process
© 2012 www.DissertationTopic.Net Mobile
