Results 11 to 20 of about 1,551 (43)

p-adic Numbers and the Hasse Principle [PDF]

open access: yes, 2014
Hasse’s local-global principle is the idea that one can find an integer solution to anequation by using the Chinese remainder theorem to piece together solutions modulo powers of each different prime number.
Benjakob, Otmar
core  

Sobolev quasi periodic solutions of multidimensional wave equations with a multiplicative potential

open access: yes, 2012
We prove the existence of quasi-periodic solutions for wave equations with a multiplicative potential on T^d, d \geq 1, and finitely differentiable nonlinearities, quasi-periodically forced in time.
Berti, Massimiliano, Bolle, Philippe
core   +2 more sources

A simple proof of the invariant torus theorem [PDF]

open access: yes, 2010
We give a simple proof of Kolmogorov's theorem on the persistence of a quasiperiodic invariant torus in Hamiltonian systems. The theorem is first reduced to a well-posed inversion problem (Herman's normal form) by switching the frequency obstruction from
Féjoz, Jacques
core   +3 more sources

Efficient classical simulations of quantum Fourier transforms and normalizer circuits over Abelian groups

open access: yes, 2012
The quantum Fourier transform (QFT) is sometimes said to be the source of various exponential quantum speed-ups. In this paper we introduce a class of quantum circuits which cannot outperform classical computers even though the QFT constitutes an ...
Nest, M. Van den
core  

Arithmetic of arithmetic Coxeter groups. [PDF]

open access: yesProc Natl Acad Sci U S A, 2019
Milea S, Shelley CD, Weissman MH.
europepmc   +1 more source

Open problems, questions and challenges in finite- dimensional integrable systems. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci, 2018
Bolsinov A   +3 more
europepmc   +1 more source

Spacelike Singularities and Hidden Symmetries of Gravity. [PDF]

open access: yesLiving Rev Relativ, 2008
Henneaux M, Persson D, Spindel P.
europepmc   +1 more source

The computation of classical constants. [PDF]

open access: yesProc Natl Acad Sci U S A, 1989
Chudnovsky DV, Chudnovsky GV.
europepmc   +1 more source

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