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 ACMPT (Conference) (1st : 2017 : Moscow, Russia)
 Cham, Switzerland : Springer, 2018.
 Description
 Book — xvi, 540 pages : illustrations ; 24 cm.
 Summary

 Queueing Models and Stochastic Networks. Reliability, Risk, Insurance. Analytical Methods and Limit Theorems.
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QA273 .A1 A36 2017  Unknown 
2. Excursions in modern mathematics [2018]
 Tannenbaum, Peter, 1946 author.
 9th edition.  [Upper Saddle, NJ] : Pearson, [2018]
 Description
 Book — xviii, 570 pages : color illustrations ; 29 cm
 Summary

 1 The Mathematics of Elections 1.1 The Basic Elements of an Election 1.2 The Plurality Method 1.3 The Borda Count Method 1.4 The PluralitywithElimination Method 1.5 The Method of Pairwise Comparisons 1.6 Fairness Criteria and Arrow's Impossibility Theorem
 2 The Mathematics of Power 2.1 An Introduction to Weighted Voting 2.2 Banzhaf Power 2.3 ShapleyShubik Power 2.4 Subsets and Permutations
 3 The Mathematics of Sharing 3.1 FairDivision Games 3.2 The DividerChooser Method 3.3 The LoneDivider Method 3.4 The LoneChooser Method 3.5 The Method of Sealed Bids 3.6 The Method of Markers
 4 The Mathematics of Apportionment 4.1 Apportionment Problems and Apportionment Methods 4.2 Hamilton's Method 4.3 Jefferson's Method 4.4 Adams's and Webster's Methods 4.5 The HuntingtonHill Method 4.6 The Quota Rule and Apportionment Paradoxes
 5 The Mathematics of Getting Around 5.1 StreetRouting Problems 5.2 An Introduction to Graphs 5.3 Euler's Theorems and Fleury's Algorithm 5.4 Eulerizing and SemiEulerizing Graphs
 6 The Mathematics of Touring 6.1 What Is a Traveling Salesman Problem? 6.2 Hamilton Paths and Circuits 6.3 The BruteForce Algorithm 6.4 The NearestNeighbor and Repetitive NearestNeighbor Algorithms 6.5 The CheapestLink Algorithm
 7 The Mathematics of Networks 7.1 Networks and Trees 7.2 Spanning Trees, MSTs, and MaxSTs 7.3 Kruskal's Algorithm
 8 The Mathematics of Scheduling 8.1 An Introduction to Scheduling 8.2 Directed Graphs 8.3 PriorityList Scheduling 8.4 The DecreasingTime Algorithm 8.5 Critical Paths and the CriticalPath Algorithm
 9 Population Growth Models 9.1 Sequences and Population Sequences 9.2 The Linear Growth Model 9.3 The Exponential Growth Model 9.4 The Logistic Growth Model
 10 Financial Mathematics 10.1 Percentages 10.2 Simple Interest 10.3 Compound Interest 10.4 Retirement Savings 10.5 Consumer Debt
 11 The Mathematics of Symmetry 11.1 Rigid Motions 11.2 Reflections 11.3 Rotations 11.4 Translations 11.5 Glide Reflections 11.6 Symmetries and Symmetry Types 11.7 Patterns
 12 Fractal Geometry 12.1 The Koch Snowflake and SelfSimilarity 12.2 The Sierpinski Gasket and the Chaos Game 12.3 The Twisted Sierpinski Gasket 12.4 The Mandelbrot Set
 13 Fibonacci Numbers and the Golden Ratio 13.1 Fibonacci Numbers 13.2 The Golden Ratio 13.3 Gnomons 13.4 Spiral Growth in Nature
 14 Censuses, Surveys, Polls, and Studies 14.1 Enumeration 14.2 Measurement 14.3 Cause and Effect
 15 Graphs, Charts, and Numbers 15.1 Graphs and Charts 15.2 Means, Medians, and Percentiles 15.3 Ranges and Standard Deviations
 16 Probabilities, Odds, and Expectations 16.1 Sample Spaces and Events 16.2 The Multiplication Rule, Permutations, and Combinations 16.3 Probabilities and Odds 16.4 Expectations 16.5 Measuring Risk
 17 The Mathematics of Normality 17.1 Approximately Normal Data Sets 17.2 Normal Curves and Normal Distributions 17.3 Modeling Approximately Normal Distributions 17.4 Normality in Random Events Answers to Selected Exercises Index Photo Credits.
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QA36 .T35 2018  Unknown 
3. A first course in probability [2019]
 Ross, Sheldon M., author.
 Tenth edition.  Boston : Pearson, 2018.
 Description
 Book — xii, 505 pages : illiustrations ; 26 cm
 Summary

 Combinatorial analysis
 Axioms of probability
 Conditional probability and independence
 Random variables
 Continuous random variables
 Jointly distributed random variables
 Properties of expectation
 Limit theorems
 Additional topics in probability
 Simulation
 Common discrete distributions
 Common continuous distributions.
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Engineering Library (Terman), Science Library (Li and Ma)
Engineering Library (Terman)  Status 

On reserve: Ask at circulation desk  
QA273 .R83 2018  Unknown 2hour loan 
QA273 .R83 2018  Unknown 2hour loan 
QA273 .R83 2018  Unknown 2hour loan 
Science Library (Li and Ma)  Status 

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QA273 .R83 2018  Unavailable In transit Request 
CS10901, MS&E12001
 Course
 CS10901  Introduction to Probability for Computer Scientists
 Instructor(s)
 Yan, Lisa
 Course
 MS&E12001  Probabilistic Analysis
 Instructor(s)
 Shachter, Ross D
 Introduction à l'étude des espaces de Banach. English
 Li, Daniel author.
 Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018.
 Description
 Book — 2 volumes : illustrations ; 24 cm.
 Summary

 Preface
 1. Euclidean sections
 2. Separable Banach spaces without the approximation property
 3. Gaussian processes
 4. Reflexive subspaces of L1
 5. The method of selectors. Examples of its use
 6. The Pisier space of almost surely continuous functions. Applications Appendix. News in the theory of infinitedimensional Banach spaces in the past twenty years G. Godefroy An update on some problems in high dimensional convex geometry and related probabilistic results O. Guedon A few updates and pointers G. Pisier On the mesh condition for Sidon sets L. RodriguezPiazza Bibliography Author index Notation index Subject index.
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 Preface Preliminary chapter
 1. Fundamental notions of probability
 2. Bases in Banach spaces
 3. Unconditional convergence
 4. Banach space valued random variables
 5. Type and cotype of Banach spaces. Factorisation through a Hilbert space
 6. psumming operators. Applications
 7. Some properties of Lpspaces
 8. The space l1 Annex. Banach algebras, compact Abelian groups Bibliography Author index Notation index Subject index.
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 Volume
 1: Preface Preliminary chapter
 1. Fundamental notions of probability
 2. Bases in Banach spaces
 3. Unconditional convergence
 4. Banach space valued random variables
 5. Type and cotype of Banach spaces. Factorisation through a Hilbert space
 6. psumming operators. Applications
 7. Some properties of Lpspaces
 8. The Space l1 Annex. Banach algebras, compact abelian groups Bibliography Author index Notation index Subject index. Volume
 2: Preface
 1. Euclidean sections
 2. Separable Banach spaces without the approximation property
 3. Gaussian processes
 4. Reflexive subspaces of L1
 5. The method of selectors. Examples of its use
 6. The Pisier space of almost surely continuous functions. Applications Appendix. News in the theory of infinitedimensional Banach spaces in the past twenty years G. Godefroy An update on some problems in high dimensional convex geometry and related probabilistic results O. Guedon A few updates and pointers G. Pisier On the mesh condition for Sidon sets L. RodriguezPiazza Bibliography Author index Notation index Subject index.
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QA322.2 .L5 2018 V.1  Unknown 
QA322.2 .L5 2018 V.2  Unknown 
5. Introduction to probability [2018]
 Anderson, David F., 1978 author.
 Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018.
 Description
 Book — xv, 429 pages ; 26 cm.
 Summary

 1. Experiments with random outcomes
 2. Conditional probability and independence
 3. Random variables
 4. Approximations of the binomial distribution
 5. Transforms and transformations
 6. Joint distribution of random variables
 7. Sums and symmetry
 8. Expectation and variance in the multivariate setting
 9. Tail bounds and limit theorems
 10. Conditional distribution Appendix A. Things to know from calculus Appendix B. Set notation and operations Appendix C. Counting Appendix D. Sums, products and series Appendix E. Table of values for Î¦(x) Appendix F. Table of common probability distributions.
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QA273 .A5534 2018  Unknown 
6. Lectures on the Poisson process [2018]
 Last, Günter, author.
 Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018.
 Description
 Book — xx, 293 pages ; 24 cm.
 Summary

 Preface List of symbols
 1. Poisson and other discrete distributions
 2. Point processes
 3. Poisson processes
 4. The Mecke equation and factorial measures
 5. Mappings, markings and thinnings
 6. Characterisations of the Poisson process
 7. Poisson processes on the real line
 8. Stationary point processes
 9. The Palm distribution
 10. Extra heads and balanced allocations
 11. Stable allocations
 12. Poisson integrals
 13. Random measures and Cox processes
 14. Permanental processes
 15. Compound Poisson processes
 16. The Boolean model and the Gilbert graph
 17. The Boolean model with general grains
 18. Fock space and chaos expansion
 19. Perturbation analysis
 20. Covariance identities
 21. Normal approximation
 22. Normal approximation in the Boolean model Appendix A. Some measure theory Appendix B. Some probability theory Appendix C. Historical notes References Index.
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QA274.42 .L36 2018  Unknown 
 Mérő, László, author.
 New Haven, CT : Yale University Press, [2018]
 Description
 Book — xii, 275 pages ; 22 cm
 Summary

We live in a much more turbulent world than we like to think, but the science we use to analyze economic, financial, and statistical events mostly disregards the world's essentially chaotic nature. We need to get used to the idea that wildly improbable events are actually part of the natural order. The renowned Hungarian mathematician and psychologist Lï¿½szlï¿½ Mï¿½ro explains how the wild and mild worlds (which he names Wildovia and Mildovia) coexist, and that different laws apply to each. Even if we live in an ultimately wild universe, he argues, we're better off pretending that it obeys Mildovian laws. Doing so may amount to a selffulfilling prophecy and create an island of predictability in a very rough sea. Perched on the ragged border between economics and complexity theory, Mï¿½ro proposes to extend the reach of science to subjects previously considered outside its grasp: the unpredictable, unrepeatable, highly improbable events we commonly call "miracles.".
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QA273 .M47 2018  Unknown 
8. Probability : a lively introduction [2018]
 Tijms, H. C. author.
 Cambridge ; New York, NY : Cambridge University Press, 2018.
 Description
 Book — x, 535 pages ; 23 cm
 Summary

 1. Foundations of probability theory
 2. Conditional probability
 3. Discrete random variables
 4. Continuous random variables
 5. Jointly distributed random variables
 6. Multivariate normal distribution
 7. Conditioning by random variables
 8. Generating functions
 9. Additional topics in probability
 10. Discretetime Markov chains
 11. Continuoustime Markov chains.
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QA273.2 .T55 2018  Unknown 
 Gough, John, 1967 author.
 Cambridge, United Kingdom ; New York : Cambridge University Press, 2018.
 Description
 Book — xv, 324 pages : illustrations ; 24 cm.
 Summary

 Preface Notation
 1. Introduction to combinatorics
 2. Probabilistic Moments and Cumulants
 3. Quantum probability
 4. Quantum fields
 5. Combinatorial species
 6. Combinatorial aspects of quantum fields: Feynman diagrams
 7. Entropy, large deviations and legendre transforms
 8. Introduction to Fock spaces
 9. Operators and fields on the Boson Fock space
 10. L2representations of the Boson Fock space
 11. Local fields on the Boson Fock space: free fields
 12. Local fields on the Boson Fock space: interacting fields
 13. Quantum stochastic calculus
 14. Quantum stochastic limits Bibliography Index.
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QA165 .G68 2018  Unknown 
10. Séminaire de Probabilités XLIX [2018]
 Cham, Switzerland : Springer, [2018]
 Description
 Book — viii, 542 pages : illustrations (some color) ; 24 cm.
 Summary

  OrnsteinUhlenbeck Pinball and the Poincare Inequality in a Punctured Domain.  A Probabilistic Look at Conservative GrowthFragmentation Equations.  Iterated Proportional Fitting Procedure and Infinite Products of Stochastic Matrices.  Limiting Eigenvectors of Outliers for Spiked InformationPlusNoise Type Matrices.  Criteria for Exponential Convergence to QuasiStationary Distributions and Applications to MultiDimensional Diffusions.  BismutElworthyLi Formulae for Bessel Processes.  Large Deviations for Infectious Diseases Models.  The Girsanov Theorem Without (So Much) Stochastic Analysis.  On Drifting Brownian Motion Made Periodic.  On the Markovian Similarity.  Sharp Rate for the Dual Quantization Problem.  Cramer's Theorem in Banach Spaces Revisited.  On Martingale Chaoses.  Explicit Laws for the Records of the Perturbed Random Walk on Z.  A Potential Theoretic Approach to Tanaka Formula for Asymmetric Levy Processes.
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Serials  
Shelved by Series title V.2215  Unknown 
11. Ten great ideas about chance [2018]
 Diaconis, Persi, author.
 Princeton ; Oxford : Princeton University Press, [2018]
 Description
 Book — x, 255 pages : illustrations ; 25 cm
 Summary

 Preface ixAcknowledgments xi1 Measurement
 12 Judgment
 223 Psychology
 484 Frequency
 625 Mathematics
 796 Inverse Inference
 1007 Unification
 1228 Algorithmic Randomness
 1459 Physical Chance
 16510 Induction 190Appendix: Probability Tutorial 209Notes 225Annotated Select Bibliography 239Image Credits 247Index 249.
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Philosophy Library (Tanner), Science Library (Li and Ma)
Philosophy Library (Tanner)  Status 

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QA273 .A4 D53 2018  Unknown 
Science Library (Li and Ma)  Status 

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QA273 .A4 D53 2018  Unknown 
12. Weak convergence of measures [2018]
 Bogachev, V. I. (Vladimir Igorevich), 1961 author.
 Providence, Rhode Island : American Mathematical Society, [2018]
 Description
 Book — xii, 286 pages ; 27 cm.
 Summary

 Weak convergence of measures on $\mathbb{R}^d$ Convergence of measures on metric spaces Metrics on spaces of measures Convergence of measures on topological spaces Spaces of measures with the weak topology Comments Bibliography Index.
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QA3 .A4 V.234  Unknown 
13. XII Symposium of Probability and Stochastic Processes : Merida, Mexico, November 1620, 2015 [2018]
 Symposium of Probability and Stochastic Processes (12th : 2015 : Merida, Mexico)
 Cham, Switzerland : Birkhauser, [2018]
 Description
 Book — xi, 234 pages : color illustrations ; 25 cm.
 Summary

 Scaling limits of MarkovBranching trees and applications. Optimality of twoparameter strategies in stochastic control. Asymptotic results for the severity and surplus before ruin for a class of Levy insurance processes. Characterization of the minimal penalty of a convex risk measure with applications to robust utility maximization for Levy models. BlackwellNash equilibria in zerosum stochastic differential games. A note on Gammaconvergence of monotone functionals. A criterion for blow up in finite time of a system of 1dimensional reactiondiffusion equations. A note on the smalltime behavior of the largest block size of Beta ncoalescents.
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QA273 .A1 S965 2015  Unknown 
14. 50 years of firstpassage percolation [2017]
 Auffinger, Antonio, 1983 author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — v, 161 pages : illustrations (some color) ; 26 cm.
 Summary

 IntroductionThe time constant and the limit shapeFluctuations and concentration boundsGeodesicsBusemann functionsGrowth and competition modelsVariants of FPP and related modelsSummary of open questionsBibliography.
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QA274.73 .A94 2017  Unknown 
 Brémaud, Pierre, author.
 Cham, Switzerland : Springer Nature, [2017]
 Description
 Book — xiv, 559 pages : illustrations ; 24 cm.
 Summary

 Introduction. 1.Events and probability. 2.Random variables. 3.Bounds and inequalities. 4.Almostsure convergence. 5.Coupling and the variation distance. 6.The probabilistic method. 7.Codes and trees. 8.Markov chains. 9.Branching trees. 10.Markov fields on graphs. 11.Random graphs. 12.Recurrence of Markov chains. 13.Random walks on graphs. 14.Asymptotic behaviour of Markov chains. 15.Monte Carlo sampling.
 16. Convergence rates. Appendix. Bibliography.
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QA273.5 .B74 2017  Unknown 
 Conference on Dynamical Systems, Ergodic Theory, and Probability (2015 : Birmingham, Ala.)
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — ix, 316 pages : illustrations ; 26 cm.
 Summary

 L. Bunimovich, N. I. Chernov (19562014) T. Adams and J. Rosenblatt, Joint coboundaries P. Balint, N. Chernov, and D. Dolgopyat, Convergence of moments for dispersing billiards with cusps E. Catsigeras, M. Cerminara, and H. Enrich, Weak pseudophysical measures and Pesin's entropy formula for Anosov $C^1$diffeomorphisms C. Cox and R. Feres, Noslip billiards in dimension two C. P. Dettmann, How sticky is the chaos/order boundary? G. Galperin and M. Levi, Bouncing in gravitational field N. T. A. Haydn and F. Yang, A derivation of the Poisson law for returns of smooth maps with certain geometrical properties K. Khanin and S. Kocic, Rigidity for a class of generalized interval exchange transformations C. C. Moxley and N. J. Simanyi, Homotopical complexity of a $3D$ billiard flow M. Jakobson, Mixing properties of some maps with countable Markov partitions Ya. G. Sinai and I. Vinogradov, Eigenfunctions of Laplacians in some twodimensional domains D. Szasz, Multidimensional hyperbolic billiards X. Xia and P. Zhang, Homoclinic intersections for geodesic flows on convex spheres H. Zhang, Decay of correlations for billiards with flat points I: Channel effects H. Zhang, Decay of correlations for billiards with flat points II: Cusps effect.
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Science Library (Li and Ma)
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QA851 .C66 2015  Unknown 
 Balan, Raluca, author.
 Second edition.  Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2017]
 Description
 Book — xi, 302 pages ; 24 cm
 Summary

In comparison with the first edition of the book, this second edition contains additional topics such as power, sample size computation and nonparametric methods, and includes a large collection of new problems, as well as the answers to oddnumbered problems. Several sections of this edition are accompanied by instructions using the programming language R for statistical computing and graphics.
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QH323.5 .B353 2017  Unknown 
 Cham, Switzerland : Birkhäuser, [2017]
 Description
 Book — vi, 361 pages : illustrations (some color) ; 25 cm.
 Summary

 Geometric higher groupoids and categories. Hodge type theorems for arithmetic hyperbolic. The Ding functional, Berndtsson convexity and moment maps. Dimers and curvature formulae. The norm of the Weierstrass Section. Smooth family ThomSmale complexes. higher Analytic Torsion Polylogarithms and norm compatible elements on Abelian Schemes. Teichm uller theory for conic surfaces. On the analytic torsion of hyperbolic manifolds of the finite volume. Logcorrelated Gaussian elds: an overview. A variation formula for the determinant line bundle. Compact subspaces of moduli spaces of stable bundles over class VII surfaces. Kstability implies CMstability. Simple renormalization flow for FKPercolation models. Analytic torsion for BORCEAVOISIN threefolds.
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QA440 .G46 2017  Unknown 
 Beveridge, Colin (Maths coach) author.
 Buffalo, New York : Firefly Books, 2017.
 Description
 Book — 192 pages : color illustrations, color charts ; 24 cm
 Online
Marine Biology Library (Miller), Science Library (Li and Ma)
Marine Biology Library (Miller)  Status 

Popular science  
QA93 .B484 2017  Unknown 
Science Library (Li and Ma)  Status 

Popular science  
QA93 .B484 2017  Unknown 
 Bladt, Mogens, author.
 New York, NY : Springer, [2017]
 Description
 Book — xvii, 736 pages ; 25 cm.
 Summary

 Preface. Notation. Preliminaries on Stochastic Processes. Martingales and More General Markov Processes. Phasetype Distributions. Matrixexponential Distributions. Renewal Theory. Random Walks. Regeneration and Harris Chains. Multivariate Distributions. Markov Additive Processes. Markovian Point Processes. Some Applications to Risk Theory. Statistical Methods for Markov Processes. Estimation of Phasetype Distributions. Bibliographic Notes. Appendix.
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Science Library (Li and Ma)
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QA274.7 .B53 2017  Unknown 