Related papers: Finite Gap Jacobi Matrices: A Review

First we survey generating function methods for obtaining useful probability estimates about random matrices in the finite classical groups. Then we describe a probabilistic picture of conjugacy classes which is coherent and beautiful.…

An updated determination of the parameters of the Cabibbo-Kobayashi-Maskawa matrix is presented.

Extensive rewrite. Tables and proofs have been reformatted and/or rewritten for clarity.

Brief review of concepts and unsolved problems in the theory of matrix models.

We study etale extensions of rings that have FIP.

Based on the results people have obtained, we try to prove the Jacobian conjecture, but there is a gap in the proof.

Inequalities for norms of different versions of the geometric mean of two positive definite matrices are presented.

An introduction to all the key ideas of Lazic's proof of the theorem on the finite generation of adjoint rings.

A hierarchy of matrix-valued polynomials which generalize the Jacobi polynomials is found. Defined by a Rodrigues formula, they are also products of a sequence of differential operators. Each class of polynomials is complete, satisfies a…

A survey of problems, conjectures, and theorems about quasi-isometric classification and rigidity for finitely generated solvable groups.

The regularized product of the Fibonacci numbers is evaluated.

Computations in the cohomology of finite groups.

We survey new results on finite groups of birational transformations of algebraic varieties.

This paper contains a stronger version of a final identification theorem for the `generic' groups of finite Morley rank.

The problem of enumeration of conjugacy classes of finite abelian subgroups of the mapping class group $\mathcal{M}_{\sigma}$ of a compact closed surface $X$ of genus $\sigma$ is considered. A complete method of enumeration is achieved for…

We present several new asymptotic trace formulas for Jacobi matrices whose coefficients satisfy a small deviation condition. Our results extend most of the existing trace formulas for Jacobi matrices.

The said paper [2] entitled "Proof Of Two Dimensional Jacobian Conjecture" is with gaps.

A survey on algorithms for computing discrete logarithms in Jacobians of curves over finite fields.

We describe efficient differentiation methods for computing Jacobians and gradients of a large class of matrix functions including the matrix logarithm $\log(A)$ and $p$-th roots $A^{\frac{1}{p}}$. We exploit contour integrals and conformal…

The symmetries of Unimodular Gravity are clarified somewhat.