Results 41 to 50 of about 7,457,680 (317)

Singular Contractions of W-algebras

, 1992
Many $W$-algebras (e.g. the $W_N$ algebras) are consistent for all values of the central charge except for a discrete set of exceptional values. We show that such algebras can be contracted to new consistent degenerate algebras at these exceptional ...
Hull, C. M., Palacios, L.
core   +2 more sources

An exceptional set for inner functions [PDF]

Proceedings of the American Mathematical Society, 1971
Suppose f is an inner function that is not a constant and not a finite Blaschke product. Let E ( f ) E(f) denote the set of values inside the unit disk that are not assumed infinitely often by f. We show that E ( f ) E(f) is an F
openaire   +1 more source

An elementary proof that the set of exceptions to the law of large numbers in Pierce expansions has full Hausdorff dimension

AIMS Mathematics
The digits of the Pierce expansion satisfy the law of large numbers. It is known that the Hausdorff dimension of the set of exceptions to the law of large numbers is $ 1 $.
Min Woong Ahn
doaj   +1 more source

Weak ergodicity breaking in non-Hermitian many-body systems

SciPost Physics, 2023
The recent discovery of persistent revivals in the Rydberg-atom quantum simulator has revealed a weakly ergodicity-breaking mechanism dubbed quantum many-body scars, which are a set of nonthermal states embedded in otherwise thermal spectra.
Qianqian Chen, Shuai A. Chen, Zheng Zhu
doaj   +1 more source

Exceptional sets of hypergeometric series

Journal of Number Theory, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On Exceptional Sets of the Hilbert Transform [PDF]

Real Analysis Exchange, 2017
We prove several theorems concerning the exceptional sets of Hilbert transform on the real line. In particular, it is proved that any null set is exceptional set for the Hibert transform of an indicator function. The paper also provides a real variable approach to the Kahane-Katsnelson theorem on divergence of Fourier series.
openaire   +3 more sources

Entire Functions of Several Variables: Analogs of Wiman’s Theorem

Axioms
This article considers a class of entire functions of several complex variables that are bounded in the Cartesian product of some half-planes. Each such hyperplane is defined on the condition that the real part of the corresponding variable is less than ...
Oleh Skaskiv, Andriy Bandura, Tetyana Salo, Sviatoslav Dubei   +3 more
doaj   +1 more source

The exceptional set in Vojta’s conjecture for algebraic points of bounded degree [PDF]

, 2010
We study the dependence on various parameters of the exceptional set in Vojta's conjecture. In particular, by making use of certain elliptic surfaces, we answer in the negative the often-raised question of whether Vojta's conjecture holds when extended ...
A. Levin
semanticscholar   +1 more source

Linear Differential Equations with Exceptional Fundamental Sets. II [PDF]

Proceedings of the American Mathematical Society, 1991
We prove a sharp order estimate for entire functions of completely regular growth, whose zeros are distributed near finitely many raysarg⁡z=ωj\arg z = {\omega _j}in terms of the anglesωj{\omega _j}. This result then leads immediately to a proof of a conjecture of Hellerstein and Rossi concerning the distribution of zeros of the solutions of linear ...
openaire   +3 more sources

Quiver theories and formulae for nilpotent orbits of Exceptional algebras

Journal of High Energy Physics, 2017
We treat the topic of the closures of the nilpotent orbits of the Lie algebras of Exceptional groups through their descriptions as moduli spaces, in terms of Hilbert series and the highest weight generating functions for their representation content.
Amihay Hanany, Rudolph Kalveks
doaj   +1 more source