On the Frequentist Properties of Bayesian Nonparametric Methods
Rousseau, J Annual Review of Statistics and Its Application volume 3 issue 1 211-231 (Jun 2016)
Posterior Concentration Rates for Counting Processes with Aalen Multiplicative Intensities
Donnet, S Rivoirard, V Rousseau, J Scricciolo, C Bayesian Analysis volume 12 issue 1 53-87 (Mar 2017)
Bayesian nonparametric dependent model for partially replicated data: The influence of fuel spills on species diversity
Arbel, J Mengersen, K Rousseau, J The Annals of Applied Statistics volume 10 issue 3 1496-1516 (Sep 2016)
Asymptotic behaviour of the empirical Bayes posteriors associated to maximum marginal likelihood estimator
Rousseau, J Szabo, B The Annals of Statistics volume 45 issue 2 833-865 (Apr 2017)

The investment decisions made by the construction sector have an obvious impact on the supply of housing. Furthermore, Local Planning Authorities play a fundamental role in shaping this supply via town planning and, in particular, by approving or rejecting planning applications submitted by developers. However, the role of these two factors, as well as their interaction, has so far been largely neglected in models of the housing market.

Over the last five decades, software and computation has grown to become integral to the scientific process, for both theory and experimentation. A recent survey of RCUK-funded research being undertaken in 15 Russell Group universities found that 92% of researchers used research software, 67% reported that it was fundamental to their research, and 56% said they developed their own software.

Thu, 25 Jan 2018
16:00
L6

A New Northcott Property for Faltings Height

Lucia Mocz
(Princeton)
Abstract

The Faltings height is a useful invariant for addressing questions in arithmetic geometry. In his celebrated proof of the Mordell and Shafarevich conjectures, Faltings shows the Faltings height satisfies a certain Northcott property, which allows him to deduce his finiteness statements. In this work we prove a new Northcott property for the Faltings height. Namely we show, assuming the Colmez Conjecture and the Artin Conjecture, that there are finitely many CM abelian varieties of a fixed dimension which have bounded Faltings height. The technique developed uses new tools from integral p-adic Hodge theory to study the variation of Faltings height within an isogeny class of CM abelian varieties. In special cases, we are able to use these techniques to moreover develop new Colmez-type formulas for the Faltings height.

How can solar panels become cheaper? Part of the cost is in the production of silicon, which is manufactured in electrode-heated furnaces through a reaction between carbon and naturally occurring quartz rock. Making these furnaces more efficient could lead to a reduction in the financial cost of silicon and everything made from it, including computer chips, textiles, and solar panels. Greater efficiency also means reduced pollution.

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