Related papers: A Short Course on Frame Theory
We give a categorical account of Arrow's theorem, a seminal result in social choice theory.
A graph short-time Fourier transform is defined using the eigenvectors of the graph Laplacian and a graph heat kernel as a window parametrized by a non-negative time parameter $t$. We show that the corresponding Gabor-like system forms a…
Instantaneous derivation of the Thomas precession.
The goal of this paper is to provide some basic structure information on derivations in finite semirings.
This paper gives a short introduction into the metric theory of spaces with dilations.
Within the framework of algebraic quantum field theory a general method is presented which allows one to compute and classify the short distance (scaling) limit of any algebra of local observables. The results can be used to determine the…
This is an expository paper on the subject of the title. It assumes basic scheme theory, commutative and homological algebra.
In this paper we introduce a general framework for the study of limits of relational structures in general and graphs in particular, which is based on a combination of model theory and (functional) analysis. We show how the various…
This work introduces the framed curvature flow, a generalization of both the curve shortening flow and the vortex filament equation. Here, the magnitude of the velocity vector is still determined by the curvature, but its direction is given…
We develop a novel formal theory of finite structures, based on a view of finite structures as a fundamental artifact of computing and programming, forming a common platform for computing both within particular finite structures, and in the…
This paper is devoted to a discussion of specific properties of invariants in the theory of forms.
In this short note, we construct a class of models of an extension of homotopy type theory, which we call homotopy type theory with an interval type.
We present a short and self-contained proof of the choosability version of Brooks' theorem.
This is a survey on spectral theory of dynamical systems.
Computations in the cohomology of finite groups.
This is a brief overview of a few selected chapters on automorphism groups of affine varieties. It includes some open questions.
In this paper, we have first given easily the characterization of special curves with the help of the Rotation minimizing frame (RMF). Also, rectifying-type curves are generalized n-dimensional space $R_{n}$.
Motivated by the study of a certain family of classical geometric problems we investigate the existence of multiplicative connections on proper Lie groupoids. We show that one can always deform a given connection which is only approximately…
We present a new fragment of axiomatic set theory for pure sets and for the iteration of power sets within given transitive sets. It turns out that this formal system admits an interesting hierarchy of models with true membership relation…
An introduction to circle valued Morse theory and Novikov homology, from an algebraic point of view.