... and so S is the set of all even words of length
2n. Hence M
D
has a PDIB-form.
Annals of Mathematics
A new construction of the
moonshine vertex operator
algebra over
the real number field ... moonshine
vertex operator algebra over
the real number field
By Masahiko Miyamoto*
Abstract
We give a new construction of the moonshine...
... with mean value 0 and vari-
*This work was carried out, while the first author was a member of the MaPhySto –
Centre for Mathematical Physics and Stochastics, funded by the Danish National Research
Foundation. ... is a random variable taking values in R
rn
2
, and
the distribution of Y equals that of a tuple (γ
1
, ,γ
rn
2
)ofrn
2
independent
identically N(0,
1
n
)-distribu...
... organizational structures.
•
Assigning value to social connectivity.
Network mathematics provides a way to ana-
lyze and evaluate the value of social connectiv-
ity of an individual or organization. ... basic IT
strategies that have dominated organizations
over the last 50 years. Narrow-platform stan-
dards and organizational firewalls are replaced
by inter-operability standards...
... refinement of) Ruzsa’s analogue of
Freiman’s theorem, which gives a fairly strong characterisation of subsets A ⊆
F
n
2
satisfying a small doubling condition |A + A| K |A| . An analogue of
this theorem ... Z) ε. The reader may care to recall the definitions of d(f, Z)
and of f
Z
at this point: they are given at the start of Section 3.
QUANTITATIVE IDEMPOTENT THEOR...
... A. Then the Weak Main Lemma holds for A.
Lemma 5.3. Fix A M, and assume that the Weak Main Lemma holds
for all
¯
A A. Then the Strong Main Lemma holds for A.
Once we have established these three ... A) , we obtain the conclusion of the Weak Main Lemma
for A, for our original E,f,σ, y
0
,P
α
(α A) .
This proves the Weak Main Lemma for A in the general case, and com-
p...
... to
infinity on the upper right.
Annals of Mathematics
A shape theorem for
the spread of an infection
By Harry Kesten and Vladas Sidoravicius
SHAPE THEOREM FOR SPREAD OF AN INFECTION
719
We ... distribution at the space-time point (x + y, t + s)asthe
full-space process (started at (0, 0)) at the point (y, s). Again we shall use the
same random walk paths π
A
fo...
... MINIREVIEW
Marine toxins and the cytoskeleton: a new view of
palytoxin toxicity
M. Carmen Louzao, Isabel R. Ares and Eva Cagide
Departamento de Farmacologia, Facultad de Veterinaria, Universidad de Santiago ... Ishida S, Inoue A, Kan Y &
Yasumoto T (1995) Palytoxin analogs from the dino-
flagellate Ostreopsis siamensis. J Am Chem Soc 117,
5389–5390.
5 Taniyama S, Arakawa O, Tera...
... on surface analysis, we propose a rigid
domain association for the N-terminal SEA domain with the back site of
the proteinase domain.
Abbreviations
HAI, hepatocyte growth factor activator inhibitor; ... from
the refinement to calculate the R
free
. The final R and R
free
values of the model are 0.21 and 0.22 for the complete data
set up to 1.6 A
˚
. The electron densit...
... special cases. In the first article [I], we laid out the foundations
of the process. We also stated a series of local and global theorems, which to-
gether amount to a stabilization of each of the ... reader can consult the proof of Lemma 5.2
of [A2 ] and the discussion at the end of Section 10 of [AC].) The terms in the
expansion therefore vanish. The r...
... last lemma defines a morphism of W-algebras
S(ρ)=S
W
(ρ) −→ E
∗
sending the generator e of ρ to an invertible element in E
−2
. The symmetric
algebra is over W and the map is a map of W-algebras. ... algebraic in nature; they give a nice presentation of
E
∗
as a G
24
-algebra. First we define an action of G
24
on W = W (F
9
)bythe
formulas:
s (a) =at (a) =ω
2
a (a)...