Results 11 to 20 of about 1,006,263 (269)
Mathematical Elements of Density Functional Theory [PDF]
We review some of the basic mathematical results about density functional theory.
arxiv +1 more source
Higher Topos Theory in Physics [PDF]
A brief exposition of the point of higher topos theory in (mathematical) physics, commissioned for the Encyclopedia of Mathematical Physics 2nd ed.
arxiv +1 more source
The qualitative properties of perturbed differential equations are investigated. The analogies of the classical Weyl theorem are proved.
V. A. Erovenko
doaj +1 more source
From asymptotics to spectral measures: determinate versus indeterminate moment problems [PDF]
In the field of orthogonal polynomials theory, the classical Markov theorem shows that for determinate moment problems the spectral measure is under control of the polynomials asymptotics.
Valent, Galliano
core +5 more sources
Quantum gravity: unification of principles and interactions, and promises of spectral geometry [PDF]
Quantum gravity was born as that branch of modern theoretical physics that tries to unify its guiding principles, i.e., quantum mechanics and general relativity.
Booss-Bavnbek, Bernhelm+2 more
core +7 more sources
On the history of the isomorphism problem of dynamical systems with special regard to von Neumann's contribution [PDF]
This paper reviews some major episodes in the history of the spatial isomorphism problem of dynamical systems theory (ergodic theory). In particular, by analysing, both systematically and in historical context, a hitherto unpublished letter written in ...
Redei, Miklos, Werndl, Charlotte
core +4 more sources
Degasperis-Procesi peakons and the discrete cubic string [PDF]
We use an inverse scattering approach to study multi-peakon solutions of the Degasperis-Procesi (DP) equation, an integrable PDE similar to the Camassa-Holm shallow water equation.
Lundmark, Hans, Szmigielski, Jacek
core +3 more sources
Troesch complexes and extensions of strict polynomial functors [PDF]
We develop a new approach of extension calculus in the category of strict polynomial functors, based on Troesch complexes. We obtain new short elementary proofs of numerous classical Ext-computations as well as new results.
Touzé, Antoine
core +4 more sources
Spectral graph theory : from practice to theory [PDF]
Graph theory is the area of mathematics that studies networks, or graphs. It arose from the need to analyse many diverse network-like structures like road networks, molecules, the Internet, social networks and electrical networks.
Farrugia, Alexander
core