Scholarly Works  Pure Mathematics and Mathematical Statistics
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Entropy production inequalities for the Kac Walk
Mark Kac introduced what is now called 'the Kac Walk' with the aim of investigating the spatially homogeneous Boltzmann equation by probabilistic means. Much recent work, discussed below, on Kac's program has run in the ... 
Derivative of the standard $p$adic $L$function associated with a Siegel form
In this paper we construct a two variables padic Lfunction for the standard representation associated with a Hida family of parallel weight genus g Siegel forms, using a method previously developed by B\"ochererSchmidt ... 
Cohomology of automorphism groups of free groups with twisted coefficients
We compute the groups H*(Aut(F$_{n}$);M) and H*(Out(F$_{n}$);M) in a stable range, where M is obtained by applying a Schur functor to H$_{Q}$ or H$_{Q}$, respectively the first rational homology and cohomology of F$_{n}$. ... 
Bayesian Nonparametric Ordination for the Analysis of Microbial Communities
Human microbiome studies use sequencing technologies to measure the abundance of bacterial species or Operational Taxonomic Units (OTUs) in samples of biological material. Typically the data are organized in contingency ...