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We consider models of N interacting objects, where the interaction is via a common resource and the distribution of states of all objects. We introduce the key scaling concept of intensity; informally, the expected number of transitions per object per time ...
Let X-N be an N x N random symmetric matrix with independent equidistributed entries. If the law P of the entries has a finite second moment, it was shown by Wigner [14] that the empirical distribution of the eigenvalues of X-N , once renormalized by root ...
Springer Verlag2008
We consider models of N interacting objects, where the interaction is via a common resource and the distribution of states of all objects. We consider the case where the number of transitions per time slot per object vanishes as N grows. We show that, ...
In this paper, two fixed per-information symbol complexity lossless source coding algorithms are modified for estimation and incremental LT decoding over piecewise stationary memoryless channels (PSMC's) with a bounded number of abrupt changes in channel s ...
The aim of this tutorial is to show that, when properly formulated, probability theory is simply the science of plausible reasoning, which permits us to represent exactly and to update our state of information about the world. This is nothing new, since in ...
Based on the results from a field survey campaign, this article describes three new developments which have been integrated to provide a comprehensive basis for the evaluation of overheating risk in offices. Firstly, a set of logistic regression equations ...
In this paper we provide the complete solution to the existence and characterization problem of optimal capital and risk allocations for not necessarily monotone, law-invariant convex risk measures on the model space Lp, for any p ε [1;∞]. Our main result ...
Today's computers allow us to simulate large, complex physical problems. Many times the mathematical models describing such problems are based on a relatively small amount of available information such as experimental measurements. The question arises whet ...
The structural refinement of the modulated phase of 4,4'-Diethoxyazoxybenzene (DXB) indicates a correlation between the shifts on the DXB molecule (modulation) and the probability to find the azoxy (N --> O) group in different configurations (disorder). Th ...
