Results 21 to 30 of about 7,457,680 (317)

The exceptional set and the Green-Griffiths locus do not always coincide [PDF]

open access: yes, 2013
We give a very simple criterion in order to ensure that the Green-Griffiths locus of a projective manifold is the whole manifold. Next, we use it to show that the Green-Griffiths locus of any projective manifold uniformized by a bounded symmetric domain ...
Simone Diverio, Erwan Rousseau
semanticscholar   +1 more source

Structure of the set of Borel exceptional vectors for entire curves

open access: yesМатематичні Студії, 2020
It is proved that the structure of the set of Borel exceptional vectors for transcendental entire curve something likes structure of the set of Nevanlinna deficient vectors for entire curve of finite order.
A.I. Bandura, Ya.I. Savchuk
doaj   +1 more source

Relations between exceptional sets for additive problems [PDF]

open access: yes, 2010
We describe a method for bounding the set of exceptional integers not represented by a given additive form in terms of the exceptional set corresponding to a subform. Illustrating our ideas with examples stemming from Waring's problem for cubes, we show,
Kawada, Koichi, Wooley, Trevor D.
core   +3 more sources

Local time on the exceptional set of dynamical percolation and the incipient infinite cluster [PDF]

open access: yes, 2012
In dynamical critical site percolation on the triangular lattice or bond percolation on Z2, we define and study a local time measure on the exceptional times at which the origin is in an infinite cluster.
A. Hammond, G. Pete, O. Schramm
semanticscholar   +1 more source

Exceptional Sets in Uniform Distribution [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 1979
Let B be a measurable set of real numbers in (0,1) of Lebesgue measure |B| and letx1, …,xnbe real. Thendenotes the number ofj(1 ≦j≦n) for which the fractional part {xj}∈B. Thediscrepancyofx1, …,xniswhere the supremum is taken over all intervalsIin [0,1].
openaire   +1 more source

About the d-bar-equation at isolated singularities with regular exceptional set [PDF]

open access: yes, 2008
Let Y be a pure dimensional analytic variety in C^n with an isolated singularity at the origin such that the exceptional set X of a desingularization of Y is regular.
J. Ruppenthal
semanticscholar   +1 more source

Exceptional Sets for Inner Functions [PDF]

open access: yesJournal of the London Mathematical Society, 1972
Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135322/1/jlms0696 ...
openaire   +3 more sources

Non-Hermitian Sensing in Photonics and Electronics: A Review

open access: yesSensors, 2022
Recently, non-Hermitian Hamiltonians have gained a lot of interest, especially in optics and electronics. In particular, the existence of real eigenvalues of non-Hermitian systems has opened a wide set of possibilities, especially, but not only, for ...
Martino De Carlo   +4 more
doaj   +1 more source

Strong Marstrand theorems and dimensions of sets formed by subsets of hyperplanes [PDF]

open access: yes, 2015
We present strong versions of Marstrand's projection theorems and other related theorems. For example, if E is a plane set of positive and finite s-dimensional Hausdorff measure, there is a set X of directions of Lebesgue measure 0, such that the ...
Falconer, Kenneth, Mattila, Pertti
core   +3 more sources

On the exceptional set for binary Egyptian fractions [PDF]

open access: yes, 2011
For fixed integer a ⩾ 3, we study the binary Diophantine equation a/n = 1/x + 1/y and in particular the number Ea(N) of n ⩽ N for which the equation has no positive integer solutions in x and y. The asymptotic formula Ea(N) ∼ C(a)N(log log N)2m−1−1(log N)
Jingjing Huang, R. Vaughan
semanticscholar   +1 more source

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