Probability: Theory and Examples

Keywords

Ergodic theory, Mathematics, Probability theory, Markov chain, Random walk

References

• The Ergodic Theory of Subadditive Stochastic ProcessesJ. F. C. Kingmán — 1968
• On the ergodic theorems (II) (Ergodic theory of continued fractions)C. Ryll–Nardzewski — 1951
• Contributions à l'étude de l'espace métrique IAdolphe Lindebaum — 1926
• Sur la décomposition des ensembles de points en parties respectivement congruentesStefan Banach, Alfred Tarski — 1924
• Les probabilités dénombrables et leur rapport à la théorie de la mesureHugo Steinhaus — 1923
• Brownian Motion and Classical Potential TheoryS. Port, C. Stone — 1978
• Nonincrease Everywhere of the Brownian Motion ProcessA. Dvoretzky, Shizuo Kakutani — 1961
• Independent and stationary sequences of random variablesИ. А. Ибрагимов, Ю. В. Ліннік, J. F. C. Kingmán — 1971
• Mathematical foundations of the calculus of probabilityJ. F. C. Kingmán, J. Neveu — 1965
• Almost sure behavior of sums of independent random variables and martingalesVolker Strassen — 1967
• A Course in Probability TheoryK. Chung — 1949
• Approximate computation of expectationsCharles Stein — 1986
• Growth rates in the branching random walkJ. D. Biggins — 1979
• The Existence of Certain Stopping Times on Brownian MotionD. H. Root — 1969
• Real And Abstract AnalysisEdwin Hewitt, Karl Stromberg — 1967
• A model of set-theory in which every set of reals is Lebesgue measurable*Robert M Solovay — 1970
• On Strong Markov ProcessesA. A. Yushkevich — 1956
• Representing a distribution by stopping a Brownian Motion: Root's constructionShey Shiung Sheu — 1986
• The Basic Theorems of Information TheoryBrockway McMillan — 1953
• Functional Limit Theorems for Dependent VariablesRichard Durrett, Sidney I. Resnick — 1978

Cited by

• Inference on Logistic Regression ModelsMamunur Rashid — 2008
• Calculating RNA motif probabilities and recognizing patterns in sequence dataRyan Kennedy — 2009
• Optimal SNR Exponent of MIMO-ARQ Block-Fading ChannelsA. Chuang, A. Guillén I Fàbregas, L. K. Rasmussen — 2008
• The Roman Metro Problem: Dynamic Voting and the Limited Power of CommitmentChristian Roessler, Sandro Shelegia, Bruno Strulovici — 2013
• General Asymptotics of the Density of a Restricted Coalescing Random Walk SystemElaine T. McDonald — 2001
• Permutation Matrices, Wreath Products, and the Distribution of EigenvaluesKelly Wieand — 2003
• Estimating characteristics of queueing networks using transactional dataAvi Mandelbaum, Sergey Zeltyn — 1998
• Non-parametric inference of risk measuresJae Youn Ahn — 2012
• The Continuity of M and N in Greedy Lattice AnimalsSung Chul Lee — 1997
• On some sparsity related problems and the randomized Kaczmarz algorithmLiang Dai — 2014
• Does Dormancy Increase Fitness of Bacterial Populations in Time-Varying Environments?Mario Javier García Muñoz-Seca, Vicente Flores Luque — 2008
• Stochastic Resonance in Continuous and Spiking Neuron Models With Levy NoiseJ. P. Hennart — 2008
• A sharp adaptive confidence ball for self-similar functionsRichard Nickl, Botond Szabó — 2014
• Cognitive radios: System design perspectiveDanijela Čabrić, Robert W. Brodersen, Danijela Branislav Čabrić — 2007
• Topics in pricing American type financial contractsQiang Meng — 2007
• Estimation of Nonlinear Dynamic Systems: Theory and ApplicationsThomas B. Schön — 2006
• Stochastic omega-regular gamesKrishnendu Chatterjee — 2007
• Modèles stochastiques pour les réseaux ad hoc mobiles. (Stochastic models for mobile ad hoc networks)Robin Groenevelt — 2005
• Improving the Composite Indices of Business Cycles by Minimum Distance Factor AnalysisYasutomo Murasawa — 2000
• CLT and the Volume of Intersections of ℓpn-BallsMichael Schmuckenschläger — 2001

Related papers

• The Application of Ergodic Sequence to Quantitative Theory of Averaging Methods in Dynamical SystemChuanyi Zhang — 2006
• Distributional limits of positive, ergodic stationary processes and infinite ergodic transformationsJon Aaronson, Benjamin Weiss — 2016
• Pure strictly uniform models of non-ergodic measure automorphismsTomasz Downarowicz, Benjamin Weiss — 2021
• Ergodic Properties of the Random Walk Adic Transformation over the Beta TransformationMichael Bromberg — 2015
• On describing the steady absorption of brownian particles by a restricted random walkK. Razi Naqvi, K. J. Mork, S. Waldenstrøm — 1982