新書推薦：
《
任伯年册页精选
》
售價：HK$
330.0
《
国之大道G219自驾攻略图——314国道喀什至红其拉甫口岸、独库公路
》
售價：HK$
52.8
《
中国近代史（名家导读版）
》
售價：HK$
90.2
《
《四库全书总目》子部辨证与学术批评研究（全三册）
》
售價：HK$
404.8
《
古代城邦（修订版）（经典与解释·古今丛编）
》
售價：HK$
109.8
《
诱捕：青春穿越小说 穿书系统×双向救赎
》
售價：HK$
52.8
《
战后日本对外文化战略研究（1945—1972）
》
售價：HK$
107.8
《
斯坦福十条：AI时代，顶尖大学要这样的人
》
售價：HK$
76.8
|
| 內容簡介： |
|
Myintentionisthatthisbookserveasareferenceworkoninteractingparticlesystems，andthatitbeusedasthebasisforanadvancedgraduatecourseonthissubject.Thebookshouldbeofinterestnotonlytomathematicians，butalsotoworkersinrelatedareassuchasmathematicalphysicsandmathematicalbiology.Theprerequisitesforreadingitaresolidone-yeargraduatecoursesinanalysisandprobabilitytheory，atthelevelofRoyden（1968）andChung（1974），respectively.Materialwhichisusuallycoveredinthesecourseswillbeusedwithoutcomment.Inaddition，afamiliaritywithanumberofothertypesofstochasticprocesseswillbehelpful.However，referenceswillbegivenwhenresultsfromspecializedpartsofprobabilitytheoryareused.Noparticularknowledgeofstatisticalmechanicsormathematicalbiologyisassumed.Whilethisisthefirstbook-lengthtreatmentofthesubjectofinteractingparticlesystems，anumberofsurveysofpartsofthefieldhaveappearedinrecentyears.AmongtheseareSpitzer（1974a），Holley（1974a），Sullivan（1975b），Liggett（1977b），Stroock（1978），Griffeath（1979a，1981），andDurrett（1981）.Thesecanserveasusefulcomolementstotheoresentwork.
|
| 目錄：
|
FrequentlyUsedNotation
Introduction
CHAPTERⅠ
TheConstruction,andOtherGeneralResults
1.MarkovProcessesandTheirSemigroups
2.SemigroupsandTheirGenerators
3.TheConstructionofGeneratorsforParticleSystems
4.ApplicationsoftheConstruction
5.TheMartingaleProblem
6.TheMartingaleProblemforParticleSystems
7.Examples
8.NotesandReferences
9.OpenProblems
CHAPTERⅡ
SomeBasicTools
1.Coupling
2.MonotonicityandPositiveCorrelations
3.Duality
4.RelativeEntropy
5.Reversibility
6.RecurrenceandTransienceofReversibleMarkovChains
7.SuperpositionsofCommutingMarkovChains
8.PerturbationsofRandomWalks
9.NotesandReferences
CHAPTERⅢ
SpinSystems
1.CouplingsforSpinSystems
2.AttractiveSpinSystems
3.AttractiveNearest-NeighborSpinSystemsonZ1
4.DualityforSpinSystems
5.ApplicationsofDuality
6.AdditiveSpinSystemsandtheGraphicalRepresentation
7.NotesandReferences
8.OpenProblems
CHAPTERⅣ
StochasticIsingModels
1.GibbsStates
2.ReversibilityofStochasticIsingModels
3.PhaseTransition
4.L2Theory
5.CharacterizationofInvariantMeasures
6.NotesandReferences
7.OpenProblems
CHAPTERⅤ
TheVoterModel
1.ErgodicTheorems
2.PropertiesoftheInvariantMeasures
3.ClusteringinOneDimension
4.TheFiniteSystem
5.NotesandReferences
CHAPTERⅥ
TheContactProcess
1.TheCriticalValue
2.ConvergenceTheorems
3.RatesofConvergence
4.HigherDimensions
5.NotesandReferences
6.OpenProblems
CHAPTERⅦ
Nearest-ParticleSystems
1.ReversibleFiniteSystems
2.GeneralFiniteSystems
3.ConstructionofInfiniteSystems
4.ReversibleInfiniteSystems
5.GeneralInfiniteSystems
6.NotesandReferences
7.OpenProblems
CHAPTERⅧ
TheExclusionProcess
1.ErgodicTheoremsforSymmetricSystems
2.CouplingandInvariantMeasuresforGeneralSystems
3.ErgodicTheoremsforTranslationInvariantSystems
4.TheTaggedParticleProcess
5.NonequilibriumBehavior
6.NotesandReferences
7.OpenProblems
CHAPTERⅨ
LinearSystemswithValuesin[0,oo）s
1.TheConstruction;CouplingandDuality
2.SurvivalandExtinction
3.SurvivalviaSecondMoments
4.ExtinctioninOneandTwoDimensions
5.ExtinctioninHigherDimensions
6.ExamplesandApplications
7.NotesandReferences
8.OpenProblems
Bibliography
Index
Postface
Errata
|
|
購物車/收銀台(0) | 在線留言板
| 付款方式
| 運費計算
| 聯絡我們
| 幫助中心 |
加入書簽
HOME
新書上架
暢銷書架
