11,220 research outputs found
Range of a Transient 2d-Random Walk
We study the range of a planar random walk on a randomly oriented lattice,
already known to be transient. We prove that the expectation of the range grows
linearly, in both the quenched (for a.e. orientation) and annealed ("averaged")
cases. We also express the rate of growth in terms of the quenched Green
function and eventually prove a weak law of large numbers in the
(non-Markovian) annealed case.Comment: 9 page
Parsimonious Description of Generalized Gibbs Measures : Decimation of the 2d-Ising Model
In this paper, we detail and complete the existing characterizations of the
decimation of the Ising model on in the generalized Gibbs context. We
first recall a few features of the Dobrushin program of restoration of
Gibbsianness and present the construction of global specifications consistent
with the extremal decimated measures. We use them to consider these
renormalized measures as almost Gibbsian measures and to precise its convex set
of DLR measures. We also recall the weakly Gibbsian description and complete it
using a potential that admits a quenched correlation decay, i.e. a well-defined
configuration-dependent length beyond which this potential decays
exponentially. We use these results to incorporate these decimated measures in
the new framework of parsimonious random fields that has been recently
developed to investigate probability aspects related to neurosciences.Comment: 32 pages, preliminary versio
Spin-Flip Dynamics of the Curie-Weiss Model: Loss of Gibbsianness with Possibly Broken Symmetry
We study the conditional probabilities of the Curie-Weiss Ising model in vanishing external field under a symmetric independent stochastic spin-flip dynamics and discuss their set of points of discontinuity (bad points). We exhibit a complete analysis of the transition between Gibbsian and non-Gibbsian behavior as a function of time, extending the results for the corresponding lattice model, where only partial answers can be obtained. For initial temperature Ī²^ā1 ā„ 1, we prove that the time-evolved measure is always Gibbsian. For ā
ā¤ Ī²^ā1 < 1, the time-evolved measure loses its Gibbsian character at a sharp transition time. For Ī²^ā1 < ā
, we observe the new phenomenon of symmetry-breaking in the set of points of discontinuity: Bad points corresponding to non-zero spin-average appear at a sharp transition time and give rise to biased non-Gibbsianness of the time-evolved measure. These bad points become neutral at a later transition time, while the measure stays non-Gibbs. In our proof we give a detailed description of the phase-diagram of a Curie-Weiss random field Ising model with possibly non-symmetric random field distribution based on bifurcation analysis.
New York State Driverās License in the name of Z.A. Drzewieniecki. Issued March 31, 1976,
New York State Driverās License in the name of Z.A.
Drzewieniecki. Issued March 31, 1976, expired March 31, 1982.https://digitalcommons.buffalostate.edu/drzcivdoc/1010/thumbnail.jp
Psychological characteristics of the patients with juvenile idiopathic arthritis (JIA) of various age groups
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