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Mirkovi and Vilonen discovered a canonical basis of algebraic cycles for the intersection homology of (the closures of the strata of) the loop Grassmannian. The moment map images of these varieties ar...
Let G be a connected, reductive group over an algebraically closed field of good characteristic. For uG unipotent, we describe the conjugacy classes in the component group A(u) of the centralizer of u...
We survey contributions of Robert MacPherson to the theory of arithmetic groups. There are two main areas we discuss: (i) explicit reduction theory for Siegel modular threefolds, and (ii) construction...
Let be an affine Weyl group, and let be a left, right, or two-sided Kazhdan-Lusztig cell in . Let be the set of all reduced expressions of elements of , regarded as a formal language in the sense of t...
We compare orbits in the nilpotent cone of type $B_n$, that of type $C_n$, and Kato's exotic nilpotent cone. We prove that the number of $\F_q$-points in each nilpotent orbit of type $B_n$ or $C_n$ eq...
Background: Recent studies have shown a decrease in annualised relapse rates (ARRs) in placebo groups of randomised controlled trials (RCTs) in relapsing multiple sclerosis (RMS). Methods: We conduc...
The main focus of this work is on developing models for the ac-tivity profile of a terrorist group, detecting sudden spurtsand down-falls in this profile, and in general, tracking it over a period of ...
The machine learning community has recently devoted much attention to the problem of inferring causal relationships from statistical data. Most of this work has focused on uncovering connections among...
We introduce a method that defines the species (representatives) of inorganic compounds, and studied the statistical distribution of the defined species among space groups (distribution of space group...
Using a recently developed model, inspired by mean field theory in statistical physics, and data from the UK's Research Assessment Exercise, we analyse the relationship between the quality of statisti...
Actors in realistic social networks play not one but a number of diverse roles depending on whom they interact with, and a large number of such role-specific interactions collectively determine social...
Cylindrical measures on topological groups
The Lindeberg theorem is derived on stratilied nilpotent Lie groups; that is a normal convergence theorem for a triangular system of probability measures in case of bounded (homogemous) moments of ...
Within the rapidly developing theory 01 random limit theory for real-valued random variables the concepts of geometric convolution and geometric stability play a fundamental role. In several reoent...
The Strong Law of Large Numbers due to Marcinkiewicz and Zygmund is carried over to simply connected step 2-nilpotent Lie groups. Moreover, for such groups, we prove analogues of the classical theo...

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