29 research outputs found
Maximum pseudo-likelihood estimator for nearest-neighbours Gibbs point processes
This paper is devoted to the estimation of a vector parametrizing an energy
function associated to some "Nearest-Neighbours" Gibbs point process, via the
pseudo-likelihood method. We present some convergence results concerning this
estimator, that is strong consistency and asymptotic normality, when only a
single realization is observed. Sufficient conditions are expressed in terms of
the local energy function and are verified on some examples.Comment: 29 pages - 2 figure
On uniqueness of the q-state Potts model on a self-dual family of graphs
This paper deals with the location of the complex zeros of the Tutte
polynomial for a class of self-dual graphs. For this class of graphs, as the
form of the eigenvalues is known, the regions of the complex plane can be
focused on the sets where there is only one dominant eigenvalue in particular
containing the positive half plane. Thus, in these regions, the analyticity of
the pressure can be derived easily. Next, some examples of graphs with their
Tutte polynomial having a few number of eigenvalues are given. The cases of the
strip of triangles with a double edge, the wheel and the cycle with an edge
having a high order of multiplicity are presented. In particular, for this last
example, we remark that the well known conjecture of Chen et al. is false in
the finite case
Continuum Percolation in the Relative Neighborhood Graph
In the present study, we establish the existence of nontrivial site
percolation threshold in the Relative Neighborhood Graph (RNG) for Poisson
stationary point process with unit intensity in the plane
Maximum pseudolikelihood estimator for exponential family models of marked Gibbs point processes
This paper is devoted to the estimation of a vector
parametrizing an energy function of a Gibbs point process, via the maximum
pseudolikelihood method. Strong consistency and asymptotic normality results of
this estimator depending on a single realization are presented. In the
framework of exponential family models, sufficient conditions are expressed in
terms of the local energy function and are verified on a wide variety of
examples.Comment: Published in at http://dx.doi.org/10.1214/07-EJS160 the Electronic
Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Continuum percolation in proximity graphs
14 pagesWe establish a sufficient condition to obtain continuum percolation on a class of proximity graphs when their vertices are distributed under a stationary Poisson point process with unit intensity in the plane. We apply this result on a family of graphs which generalizes -skeleton graphs
Une approche récursive pour construire des polynômes à racines réelles
In the present study, we propose necessary and sufficient assumptions on the coefficients in order to only get distinct real roots of polynomials.Dans cette étude, nous donnons des conditions nécessaires et suffisantes sur les coefficients d'un polynôme de manière à ce que ce denier n'ait que des racines réelles
R-local Delaunay inhibition model
Let us consider the local specification system of Gibbs point process with
inhib ition pairwise interaction acting on some Delaunay subgraph specifically
not con taining the edges of Delaunay triangles with circumscribed circle of
radius grea ter than some fixed positive real value . Even if we think that
there exists at least a stationary Gibbs state associated to such system, we do
not know yet how to prove it mainly due to some uncontrolled "negative"
contribution in the expression of the local energy needed to insert any number
of points in some large enough empty region of the space. This is solved by
introducing some subgraph, called the -local Delaunay graph, which is a
slight but tailored modification of the previous one. This kind of model does
not inherit the local stability property but satisfies s ome new extension
called -local stability. This weakened property combined with the local
property provides the existence o f Gibbs state.Comment: soumis \`{a} Journal of Statistical Physics 27 page
Superconducting routing platform for large-scale integration of quantum technologies
To reach large-scale quantum computing, three-dimensional integration of
scalable qubit arrays and their control electronics in multi-chip assemblies is
promising. Within these assemblies, the use of superconducting
interconnections, as routing layers, offers interesting perspective in terms of
(1) thermal management to protect the qubits from control electronics
self-heating, (2) passive device performance with significant increase of
quality factors and (3) density rise of low and high frequency signals thanks
to minimal dispersion. We report on the fabrication, using 200 mm silicon wafer
technologies, of a multi-layer routing platform designed for the hybridization
of spin qubit and control electronics chips. A routing level couples the qubits
and the control circuits through one layer of Al0.995Cu0.005 and
superconducting layers of TiN, Nb or NbN, connected between them by W-based
vias. Wafer-level parametric tests at 300 K validate the yield of these
technologies and low temperature electrical measurements in cryostat are used
to extract the superconducting properties of the routing layers. Preliminary
low temperature radio-frequency characterizations of superconducting passive
elements, embedded in these routing levels, are presented
Estimation d'interactions et Ă©tude symptotique pour les processus ponctuels de Gibbs
* INRA Centre de Recherche d'Avignon, Unité de Biométrie, Domaine St Paul, Site Agroparc, 84914 Avignon cedex 9 Diffusion du document : INRA Centre de Recherche d'Avignon, Unité de Biométrie, Domaine St Paul, Site Agroparc, 84914 Avignon cedex 9 Diplôme : Dr. d'Universit
Discussion of "modern statistics of spatial point processes"
International audienceThe paper 'Modern statistics for spatial point processes' by Jesper Møller and Rasmus P. Waagepetersen is based on a special invited lecture given by the authors at the 21st Nordic Conference on Mathematical Statistics, held at Rebild, Denmark, in June 2006. At the conference, Antti Penttinen and Eva B. Vedel Jensen were invited to discuss the paper. We here present the comments from the two invited discussants and from a number of other scholars, as well as the authors' responses to these comments