Results 81 to 90 of about 23,814,312 (258)
Quantum Ergodicity and Mixing [PDF]
This is an expository article for the Encyclopedia of Mathematical Physics on the subject in the title.
arxiv
A Glimpse at Mathematical Diffraction Theory [PDF]
Mathematical diffraction theory is concerned with the analysis of the diffraction measure of a translation bounded complex measure $\omega$. It emerges as the Fourier transform of the autocorrelation measure of $\omega$. The mathematically rigorous approach has produced a number of interesting results in the context of perfect and random systems, some ...
arxiv +1 more source
Taylor's Expansion Revisited: A General Formula for the Remainder
We give a new approach to Taylor's remainder formula, via a generalization of Cauchy's generalized mean value theorem, which allows us to include the well-known Schölomilch, Lebesgue, Cauchy, and the Euler classic types, as particular cases.
José Juan Rodríguez Cano+1 more
doaj +1 more source
Recent results in semiclassical approximation with rough potentials [PDF]
This is an extended abstract for the conference "Microlocal2011 : Microlocal Methods in Mathematical Physics and Global Analysis Universit\"at T\"ubingen, June 14 - 18, 2011"
arxiv
Multi-centered N = 2 $$ \mathcal{N}=2 $$ BPS black holes: a double copy description
We present the on-shell double copy dictionary for linearised N = 2 $$ \mathcal{N}=2 $$ supergravity coupled to an arbitrary number of vector multiplets in four dimensions.
G.L. Cardoso, S. Nagy, S. Nampuri
doaj +1 more source
Mathematics Hidden Behind the Two Coefficients of Babylonian Mathematics [PDF]
In the present paper I shall reveal two circular figures hidden behind the Susa mathematical text no.3,lines 5 and 6 with my own analysis of the text.
arxiv
A time-frequency analysis perspective on Feynman path integrals [PDF]
The purpose of this expository paper is to highlight the starring role of time-frequency analysis techniques in some recent contributions concerning the mathematical theory of Feynman path integrals. We hope to draw the interest of mathematicians working in time-frequency analysis on this topic, as well as to illustrate the benefits of this fruitful ...
arxiv
Mathematical and Algorithmic Analysis of Network and Biological Data [PDF]
This dissertation contributes to mathematical and algorithmic problems that arise in the analysis of network and biological data.
arxiv
Approximation of solutions of the stochastic wave equation by using the Fourier series
A one-dimensional stochastic wave equation driven by a general stochastic measure is studied in this paper. The Fourier series expansion of stochastic measures is considered.
Vadym Radchenko, Nelia Stefans’ka
doaj +1 more source
Experimental detection of interactive phenomena and their analysis [PDF]
The article is devoted to mathematical methods of experimental detection of interactive phenomena in complex systems and their analysis.
arxiv