2,743 research outputs found
GKW representation theorem and linear BSDEs under restricted information. An application to risk-minimization
In this paper we provide Galtchouk-Kunita-Watanabe representation results in
the case where there are restrictions on the available information. This allows
to prove existence and uniqueness for linear backward stochastic differential
equations driven by a general c\`adl\`ag martingale under partial information.
Furthermore, we discuss an application to risk-minimization where we extend the
results of F\"ollmer and Sondermann (1986) to the partial information framework
and we show how our result fits in the approach of Schweizer (1994).Comment: 22 page
Looking for a new panacea in ALK-rearranged NSCLC: may be Ceritinib?
In the past decade, the advent of targeted therapy led to a silent revolution
in the war against lung cancer and a significant evolution on the concept
of Phase I clinical trials design. Thanks to the specificity of their target,
the new drugs have radically changed NSCLC treatment, leading to the development
of personalized strategies. The accelerated approval of the first
ALK-inhibitor, Crizotinib and more recently Ceritinib, without a Phase III
randomized, clinical trial, has been an amazing success story in lung cancer
research, marking the beginning of a new decade of targeted drugs development,
characterized by modern, biomarker-driven, early clinical trial design
and shorter times for clinical approval. Is Ceritinib a new panacea for the
treatment of ALK-rearranged NSCLC? We aimed to discuss the reasons of
such success, including the new emerging questions, regarding mechanisms
of acquired resistance, and the best treatment algorithm for ALK-rearranged
NSCLC patients
Bounds for the relative n-th nilpotency degree in compact groups
The line of investigation of the present paper goes back to a classical work
of W. H. Gustafson of the 1973, in which it is described the probability that
two randomly chosen group elements commute. In the same work, he gave some
bounds for this kind of probability, providing information on the group
structure. We have recently obtained some generalizations of his results for
finite groups. Here we improve them in the context of the compact groups.Comment: 9 pages; to appear in Asian-European Journal of Mathematics with
several improvement
Design strategies for the self-assembly of polyhedral shells
The control over the self-assembly of complex structures is a long-standing
challenge of material science, especially at the colloidal scale, as the
desired assembly pathway is often kinetically derailed by the formation of
amorphous aggregates. Here we investigate in detail the problem of the
self-assembly of the three Archimedean shells with five contact points per
vertex, i.e. the icosahedron, the snub cube, and the snub dodecahedron. We use
patchy particles with five interaction sites (or patches) as model for the
building blocks, and recast the assembly problem as a Boolean satisfiability
problem (SAT) for the patch-patch interactions. This allows us to find
effective designs for all targets, and to selectively suppress unwanted
structures. By tuning the geometrical arrangement and the specific interactions
of the patches, we demonstrate that lowering the symmetry of the building
blocks reduces the number of competing structures, which in turn can
considerably increase the yield of the target structure. These results cement
SAT-assembly as an invaluable tool to solve inverse design problems.Comment: 21 pages, 10 figure
Negative symptoms as key features of depression among cannabis users: a preliminary report.
OBJECTIVE:
Cannabis use is frequent among depressed patients and may lead to the so-called "amotivational syndrome", which combines symptoms of affective flattening and loss of emotional reactivity (i.e. the so-called "negative" symptomatology). The aim of this study was to investigate the negative symptomatology in depressed patients with concomitant cannabis use disorders (CUDs) in comparison with depressed patients without CUDs.
PATIENTS AND METHODS:
Fifty-one patients with a diagnosis of Major Depressive Disorder (MDD) and concomitant CUD and fifty-one MDD patients were enrolled in the study. The 21-Item Hamilton Depression Rating Scale (HDRS) and the negative symptoms subscales of the Positive and Negative Syndrome Scale (PANSS) were used to assess depressive and negative symptomatology.
RESULTS:
Patients with cannabis use disorders presented significantly more severe negative symptoms in comparison with patients without cannabis use (15.18 ± 2.25 vs 13.75 ± 2.44; t100 = 3.25 p = 0.002).
DISCUSSION:
A deeper knowledge of the "negative" psychopathological profile of MDD patients who use cannabis may lead to novel etiopathogenetic models of MDD and to more appropriate treatment approaches
Two-step nucleation in a binary mixture of patchy particles
Nucleation in systems with a metastable liquid–gas critical point is the prototypical example of a two-step nucleation process in which the appearance of the critical nucleus is preceded by the formation of a liquid-like density fluctuation. So far, the majority of studies on colloidal and protein crystallization have focused on one-component systems, and we are lacking a clear description of two-step nucleation processes in multicomponent systems, where critical fluctuations involve coupled density and concentration inhomogeneities. Here, we examine the nucleation process of a binary mixture of patchy particles designed to nucleate into a diamond lattice. By combining Gibbs-ensemble simulations and direct nucleation simulations over a wide range of thermodynamic conditions, we are able to pin down the role of the liquid–gas metastable phase diagram on the nucleation process. In particular, we show that the strongest enhancement of crystallization occurs at an azeotropic point with the same stoichiometric composition of the crystal
Lattice Gas Analogue Of SK Model: A paradigm for the glass transition
We investigate the connection between the well known Sherrington-Kirkpatrick
Ising Spin Glass and the corresponding Lattice Gas model by analyzing the
relation between their thermodynamical functions. We present results of replica
approach in the Replica Symmetric approximation and discuss its stability as a
function of temperature and external source. Next we examine the effects of
first order Replica Symmetry Breaking at zero temperature. We finally compare
SK results with ours and suggest how the latter could be relevant to a
description of the structural glass transition.Comment: 33 Pages, LaTeX file; 15 Figures added, some grammatical corrections.
To appear in Journal of Physics
On the classification of OADP varieties
The main purpose of this paper is to show that OADP varieties stand at an
important crossroad of various main streets in different disciplines like
projective geometry, birational geometry and algebra. This is a good reason for
studying and classifying them. Main specific results are: (a) the
classification of all OADP surfaces (regardless to their smoothness); (b) the
classification of a relevant class of normal OADP varieties of any dimension,
which includes interesting examples like lagrangian grassmannians. Following
[PR], the equivalence of the classification in (b) with the one of
quadro-quadric Cremona transformations and of complex, unitary, cubic Jordan
algebras are explained.Comment: 13 pages. Dedicated to Fabrizio Catanese on the occasion of his 60th
birthday. To appear in a special issue of Science in China Series A:
Mathematic
Classical Solutions in Two-Dimensional String Theory and Gravitational Collapse
A general solution to the 1-loop beta functions equations including
tachyonic back reaction on the metric is presented. Dynamical black hole
(classical) solutions representing gravitational collapse of tachyons are
constructed. A discussion on the correspondence with the matrix-model approach
is given.Comment: 7 pages, UTTG-31-9
Lines on projective varieties and applications
The first part of this note contains a review of basic properties of the
variety of lines contained in an embedded projective variety and passing
through a general point. In particular we provide a detailed proof that for
varieties defined by quadratic equations the base locus of the projective
second fundamental form at a general point coincides, as a scheme, with the
variety of lines. The second part concerns the problem of extending embedded
projective manifolds, using the geometry of the variety of lines. Some
applications to the case of homogeneous manifolds are included.Comment: 15 pages. One example removed; one remark and some references added;
typos correcte
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