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Chapter 6 of the book "Discrete Orthogonal Polynomials," by J. Baik, T. Kriecherbauer, K.T.-R. McLaughlin, and P.D. Miller is presented. It explores various theorems related to the discrete orthogonal polynomials and explains asymptomatic behavior of leading coefficients and recurrence coefficients. Additionally, proof for asymtomatic behavior of zeros in band and void edges is presented.

Chapter 4 of the book "Discrete Orthogonal Polynomials," by J. Baik, T. Kriecherbauer, K.T.-R. McLaughlin, and P.D. Miller is presented. It discusses the Riemann-Hilbert problem and explains on the exact transformation from one matrix to another. It explores the use of equilibrium measure for transformation. Also presented is a solution to Riemann-Hilbert problem with predefines analytics, normalization and jump conditions.

Chapter 7 of the book "Discrete Orthogonal Polynomials," by J. Baik, T. Kriecherbauer, K.T.-R. McLaughlin, and P.D. Miller is presented. It explains that as holes are managed by the orthogonal polynomials, their correlation functions are governed by determinants involving dual weights. The concept is explained using both probabilistic and direct approaches. Also presented is the explanation for asymptomatic universality of statistics of particles around band and gap edges.

Chapter 2 of the book "Discrete Orthogonal Polynomials," by J. Baik, T. Kriecherbauer, K.T.-R. McLaughlin, and P.D. Miller is presented. It explores the asymptomatic formulae for the discrete polynomials and discusses the relationship between the function theory of hyperelliptic Riemann surface and the equilibrium measure. Also, it defines the voids, bands and saturated regions for equilibrium measure. A discussion on hyperelliptic function theory is given.

Chapter 3 of the book "Discrete Orthogonal Polynomials," by J. Baik, T. Kriecherbauer, K.T.-R. McLaughlin, and P.D. Miller is presented. It explores the particle statistics of the discrete orthogonal polynomial ensembles and discusses the random matrix theory. Also, it defines the joint hole distribution function and comments on the dual nature of the polynomial ensembles. Additionally, it describes the asymptomatic universality of general weights.

Chapter 5 of the book "Discrete Orthogonal Polynomials," by J. Baik, T. Kriecherbauer, K.T.-R. McLaughlin, and P.D. Miller is presented. It discusses the asymptomatic analysis of discrete orthogonal polynomials with large class of weights, degree of joint limit and numerous nodes. It analyzes the Riemann-Hilber problem, using matrices, to explain the concept. Additionally, definition for global parametrix and its explanation is presented.