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The purpose of this paper is to prove connections among the asymptotic behavior of the magnetization, the structure of the phase transitions, and a class of polynomials that we call the Ginzburg–Landa...
A number of problems in statistical physics and computer science can be expressed as the computation of marginal probabilities over a Markov random field. Belief propagation, an iterative message-pass...
We propose a probabilistic formulation that enables sequential detection of multiple change points in a network setting. We present a class of sequential detection rules for cer-tain functionals of ch...
Recently Batsidis \textit{et al.} (2011) have presented a new procedure based on divergence measures for testing the hypothesis of the existence of a change point in exponential populations.
Models with multiple change points are used in many fields; however, the theoretical properties of maximum likelihood estimators of such models have received relatively little attention. The goal of t...
Percolating paths through random points.
The limiting distribution m of the normalized number of key comparisons required by the Quicksort sorting algorithm is known to be the unique fixed point of a certain distributional transformation T -...
We give a simpler and shorter proof of Kesten's result for the probabilities with which a subordinator hits points.
Let $A=(A_1,A_2,A_3,ldots)$ be a random sequence of non-negative numbers that are ultimately zero with $E[sum A_i]=1$ and $E left[sum A_{i} log A_i right] leq 0$. The uniqueness of the non-negative fi...
We give a simpler and shorter proof of Kesten's result for the probabilities with which a subordinator hits points.
This note answers one question in [1] concerning the connected allocation for the Poisson process in R2. The proposed solution makes use of the Riemann map from the plane minus the minimal spanning fo...
Let $X=(X_t)_{t ge 0}$ be a stable L'evy process of index $alpha in (1,2)$ with the L'evy measure $nu(dx) = (c/x^{1+alpha}):! I_{(0,infty)}(x), dx$ for $c>0$, let $x>0$ be given and fixed, and let $ta...
We propose a new approach for identifying the support points of a locally optimal design when the model is a nonlinear model. In contrast to the commonly used geometric approach, we use an approach...

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