Related papers: A Short Course on Frame Theory

We present a relative form of the Toponogov comparison theorem.

This is a long introduction to the theory of "branch groups": groups acting on rooted trees which exhibit some self-similarity features in their lattice of subgroups.

An expository hitchhikers guide to some theorems in mathematics.

In this course we introduce the main notions relative to the classical theory of modular forms. A complete treatise in a similar style can be found in the author's book joint with F. Str{\"o}mberg [1].

This is the written version of a set of introductory lectures on string theory.

We introduce the notion of a cross-frame potential function, which takes one frame as input and returns its cross-frame potential value with respect to another frame. We analyze the behavior of this new function to determine what…

This is a draft version of Part II of a three-part textbook on quantum field theory.

Frame theory is an exciting, dynamic and fast paced subject with applications in numerous fields of mathematics and engineering. In this paper we study Continuous Frame and introduce Continuous Frame with $C^{\ast}$-valued bounds. Also, we…

An article based on a four-lecture introductory minicourse on minimal surface theory given at the 2013 summer program of the Institute for Advanced Study and the Park City Mathematics Institute.

The present note sketches a theory of constructs.

A general theory of frames of reference proposed in a preceding publication is considered here in the framework of the post-Newtonian approximation, assuming that the frame of reference is centered on a time-like geodesic. The problem of…

This text is a survey on symmetric matrices. It serves as a script for a module to be taught at university.

Course material for mathematical methods of theoretical physics intended for an undergraduate audience.

This is a brief review of the present status, of some recent developments and of the open challenges in string/M theory.

Algebraic deformations of modules over a ring are considered. The resulting theory closely resembles Gerstenhaber's deformation theory of associative algebras.

A very simple and short proof of the polynomial matrix spectral factorization theorem (on the unit circle as well as on the real line) is presented, which relies on elementary complex analysis and linear algebra.

This is a survey of Rational Homotopy Theory, intended for a Mathematical Physics readership.

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

We present a theory of finite frames for subspaces of $\mathbb{C}^N$ . The definition of a subspace frame is given and results analogous to those from frame theory for $\mathbb{C}^N$ are proven.

This is a short survey of amenable equivalence relations.