100,413 research outputs found
Quick Screening of Well Survivability in a Producing Reservoir
Imperial Users onl
Mouse X
Mouse X is a short science fiction film which was shot in August 2012 and is a mystery/sci-fi story about Anderson, a man who wakes in a building with no idea where he is or how he got there, before slowly discovering that in each of the rooms around him are a thousand clones of himself, all of whom woke into the same mysterious scenario.
To escape he needs to outwit his 'selves' whilst overcoming the realisation that he is not the only Anderson...
We're a low budget but extremely professional production full of energy and ambition. We raised our modest £5k budget from 150 individuals around the world and attracted some exceptional crew to this Lincoln based production. We have an executive producer who is currently working on a film with Richard Aoyade (Submarine, The IT Crowd) which stars Jesse Eisenberg (The Social Network). We also have a Visual Effects team who worked on Burn After Reading and Sex and the City, Sound Designers who produce Hollywood trailers (Red Tails, Skyline to name just a couple) and a BAFTA award winning Cinematographer. We've been so lucky to bring this talented team of people together for this local production.
We've also joined forces with some large companies to make this film happen and are currently working alongside Western Digital to promote the film whilst it goes through Post-Production.
To find out more about Mouse X take a look at our Facebook page www.facebook.com/mouseshortfil
A characterization of fine words over a finite alphabet
To any infinite word w over a finite alphabet A we can associate two infinite
words min(w) and max(w) such that any prefix of min(w) (resp. max(w)) is the
lexicographically smallest (resp. greatest) amongst the factors of w of the
same length. We say that an infinite word w over A is "fine" if there exists an
infinite word u such that, for any lexicographic order, min(w) = au where a =
min(A). In this paper, we characterize fine words; specifically, we prove that
an infinite word w is fine if and only if w is either a "strict episturmian
word" or a strict "skew episturmian word''. This characterization generalizes a
recent result of G. Pirillo, who proved that a fine word over a 2-letter
alphabet is either an (aperiodic) Sturmian word, or an ultimately periodic (but
not periodic) infinite word, all of whose factors are (finite) Sturmian.Comment: 16 pages; presented at the conference on "Combinatorics, Automata and
Number Theory", Liege, Belgium, May 8-19, 2006 (to appear in a special issue
of Theoretical Computer Science
Instantons in Quantum Mechanics and Resurgent Expansions
Certain quantum mechanical potentials give rise to a vanishing perturbation
series for at least one energy level (which as we here assume is the ground
state), but the true ground-state energy is positive. We show here that in a
typical case, the eigenvalue may be expressed in terms of a generalized
perturbative expansion (resurgent expansion). Modified Bohr-Sommerfeld
quantization conditions lead to generalized perturbative expansions which may
be expressed in terms of nonanalytic factors of the form exp(-a/g), where a > 0
is the instanton action, and power series in the coupling g, as well as
logarithmic factors. The ground-state energy, for the specific Hamiltonians, is
shown to be dominated by instanton effects, and we provide numerical evidence
for the validity of the related conjectures.Comment: 12 pages, LaTeX; further typographical errors correcte
Multi-Instantons and Exact Results I: Conjectures, WKB Expansions, and Instanton Interactions
We consider specific quantum mechanical model problems for which perturbation
theory fails to explain physical properties like the eigenvalue spectrum even
qualitatively, even if the asymptotic perturbation series is augmented by
resummation prescriptions to "cure" the divergence in large orders of
perturbation theory. Generalizations of perturbation theory are necessary which
include instanton configurations, characterized by nonanalytic factors
exp(-a/g) where a is a constant and g is the coupling. In the case of
one-dimensional quantum mechanical potentials with two or more degenerate
minima, the energy levels may be represented as an infinite sum of terms each
of which involves a certain power of a nonanalytic factor and represents itself
an infinite divergent series. We attempt to provide a unified representation of
related derivations previously found scattered in the literature. For the
considered quantum mechanical problems, we discuss the derivation of the
instanton contributions from a semi-classical calculation of the corresponding
partition function in the path integral formalism. We also explain the relation
with the corresponding WKB expansion of the solutions of the Schroedinger
equation, or alternatively of the Fredholm determinant det(H-E) (and some
explicit calculations that verify this correspondence). We finally recall how
these conjectures naturally emerge from a leading-order summation of
multi-instanton contributions to the path integral representation of the
partition function. The same strategy could result in new conjectures for
problems where our present understanding is more limited.Comment: 66 pages, LaTeX; refs. to part II preprint update
Local ill-posedness of the 1D Zakharov system
Ginibre-Tsutsumi-Velo (1997) proved local well-posedness for the Zakharov
system for any dimension , in the inhomogeneous Sobolev spaces for a range of exponents ,
depending on . Here we restrict to dimension and present a few results
establishing local ill-posedness for exponent pairs outside of the
well-posedness regime. The techniques employed are rooted in the work of
Bourgain (1993), Birnir-Kenig-Ponce-Svanstedt-Vega (1996), and
Christ-Colliander-Tao (2003) applied to the nonlinear Schroedinger equation
The Bernstein Center of a p-adic Unipotent Group
Francois Rodier proved that it is possible to view smooth representations of
certain totally disconnected abelian groups (the underlying additive group of a
finite-dimensional p-adic vector space, for example) as sheaves on the
Pontryagin dual group. For nonabelian totally disconnected groups, the
appropriate dual space necessarily includes representations which are not
one-dimensional, and does not carry a group structure. The general definition
of the topology on the dual space is technically unwieldy, so we provide three
different characterizations of this topology for a large class of totally
disconnected groups (which includes, for example, p-adic unipotent groups),
each with a somewhat different flavor. We then use these results to demonstrate
some formal similarities between smooth representations and sheaves on the dual
space, including a concrete description of the Bernstein center of the category
of smooth representations
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