Results 21 to 30 of about 1,594 (52)

Integral orthogonal bases of small height for real polynomial spaces [PDF]

, 2009
Let $P_N(R)$ be the space of all real polynomials in $N$ variables with the usual inner product $$ on it, given by integrating over the unit sphere. We start by deriving an explicit combinatorial formula for the bilinear form representing this inner ...
Fukshansky, Lenny
core   +3 more sources

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

, 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  

On effective Witt decomposition and Cartan-Dieudonne theorem

, 2004
Let $K$ be a number field, and let $F$ be a symmetric bilinear form in $2N$ variables over $K$. Let $Z$ be a subspace of $K^N$. A classical theorem of Witt states that the bilinear space $(Z,F)$ can be decomposed into an orthogonal sum of hyperbolic ...
Fukshansky, Lenny
core  

Well-posedness for a system of quadratic derivative nonlinear Schr\"odinger equations with low regularity periodic initial data

, 2015
We consider the Cauchy problem of a system of quadratic derivative nonlinear Schr\"odinger equations which was introduced by M. Colin and T. Colin (2004) as a model of laser-plasma interaction.
Hirayama, Hiroyuki
core  

Arithmetic of arithmetic Coxeter groups. [PDF]

Proc 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]

Philos Trans A Math Phys Eng Sci, 2018
Bolsinov A, Matveev VS, Miranda E, Tabachnikov S.   +3 more
europepmc   +1 more source

Spacelike Singularities and Hidden Symmetries of Gravity. [PDF]

Living Rev Relativ, 2008
Henneaux M, Persson D, Spindel P.
europepmc   +1 more source

The computation of classical constants. [PDF]

Proc Natl Acad Sci U S A, 1989
Chudnovsky DV, Chudnovsky GV.
europepmc   +1 more source

Most totally real fields do not have universal forms or the Northcott property. [PDF]

Proc Natl Acad Sci U S A
Daans N, Kala V, Man SH, Widmer M, Yatsyna P.   +4 more
europepmc   +1 more source

A KAM Approach to the Inviscid Limit for the 2D Navier-Stokes Equations. [PDF]

Ann Henri Poincare
Franzoi L, Montalto R.
europepmc   +1 more source