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We study spike-and-slab priors for generalized linear models with possible grouped sparsity. The main result is an oracle Bernstein--von Mises theorem for the fractional posterior under supportwise likelihood assumptions. The proof develops…

统计理论 · 数学 2026-05-27 Hanqing Li , Xuewen Lu

We present some clues to the study of the renormalization group, at graduate level, as well as some bibliographical pointers to classical resources. Just the kind of things one had liked to hear when starting to study the subject.

高能物理 - 理论 · 物理学 2007-05-23 Alejandro Rivero

The similarity renormalization group procedure formulated in terms of effective particles is briefly reviewed in a series of selected examples that range from the model matrix estimates of its numerical accuracy to issues of the Poincare…

高能物理 - 理论 · 物理学 2007-05-23 Stanislaw D. Glazek

While equality of skew Schur functions is well understood, the problem of determining when two skew Schur $Q$ functions are equal is still largely open. It has been studied in the case of ribbon shapes in 2008 by Barekat and van…

组合数学 · 数学 2021-08-27 Maria Gillespie , Kyle Salois

If $\Gamma $ is a group, then braided $\Gamma $-crossed modules are classified by braided strict $\Gamma $-graded categorial groups. The Schreier theory obtained for $\Gamma $-module extensions of the type of an abelian $\Gamma $-crossed…

范畴论 · 数学 2013-04-23 Nguyen Tien Quang , Che Thi Kim Phung , Pham Thi Cuc

In this article we develop intersection theory in terms of the $\mathcal{B}$-group of a reduced analytic space. This group was introduced in a previous work as an analogue of the Chow group; it is generated by currents that are direct…

A number of new sufficient conditions for generalized cycles (large cycles including Hamilton and dominating cycles as special cases) in an arbitrary $k$-connected graph $(k=1,2,...)$ and new lower bounds for the circumference (the length…

组合数学 · 数学 2023-05-24 Zhora Nikoghosyan

In these notes the exact renormalization group formulation of the scalar theory is briefly reviewed. This regularization scheme is then applied to supersymmetric theories. In case of a supersymmetric gauge theory it is also shown how to…

高能物理 - 理论 · 物理学 2007-05-23 Federica Vian

We correct two errors in the paper "Sur les repr\'esentations non ramifi\'ees des groupes r\'eductifs p-adiques; l'exemple de GSp(4)": the first in the study of an involution on the irreducible unramified representations of a semi-simple…

表示论 · 数学 2007-05-23 François Rodier

We continue the development of the infinitesimal deformation theory of pasting diagrams of k-linear categories begun in Yetter, D.N. "On Deformations of Pasting Diagrams", Theory and Applications of Categories 22 (2009) 24-53. In that…

范畴论 · 数学 2013-03-15 Tej Shreshtha , D. N. Yetter

This paper presents geometrical foundation for a systematic treatment of three main (elliptic, parabolic and hyperbolic) types of analytic function theories based on the representation theory of SL(2,R) group. We describe here geometries of…

复变函数 · 数学 2013-07-16 Vladimir V. Kisil

We go back to a graph used extensively in previous papers with Michela Procesi and Bich Van Nguyen to studi the non linear Scroginger equation. We fix several mistakes of that treatment and try to expand some proofs which were confused or…

组合数学 · 数学 2024-12-20 Claudio Procesi

We give an algorithm to decide if a given braid is a product of two factors which are conjugates of given powers of standard generators of the braid group. The same problem is solved in a certain class of Garside groups including Artin-Tits…

群论 · 数学 2024-12-04 Stepan Yu. Orevkov

We consider the leading post-Newtonian and quantum corrections to the non-relativistic scattering amplitude of charged spin-1/2 fermions in the combined theory of general relativity and QED. The coupled Dirac-Einstein system is treated as…

广义相对论与量子宇宙学 · 物理学 2008-11-26 M. S. Butt

The right near-domain is defined to loosen near-domain axioms. Correspondence of a class of the right near-domains and a class of sharply 2--transitive groups is constructed.

群论 · 数学 2022-09-19 Andrey A. Simonov

Some of my previous publications were incomplete in the sense that non trivial zeros belonging to a particular type of fundamental domain have been inadvertently ignored. Due to this fact, I was brought to believe that computations done by…

复变函数 · 数学 2016-02-05 Dorin Ghisa

We overview a web of conjectures about torsors under reductive groups over regular rings and survey some techniques that have been used for making progress on such problems.

代数几何 · 数学 2025-05-06 Kestutis Cesnavicius

In our paper arXiv:1310.6289, we stated that acylindrical hyperbolicity of a group is invariant under commensurability up to finite kernels. Unfortunately, the proof of this fact contained a gap. The goal of this erratum is to point out the…

群论 · 数学 2018-03-19 A. Minasyan , D. Osin

The main theme of this paper is establishing the "generalized Springer correspondence" in complete generality that is, for not necessarily connected reductive algebraic groups.

表示论 · 数学 2007-05-23 G. Lusztig

We will define and study some generalisations of pure $\mathfrak{g}$-braid groups that occur in the theory of connections on curves, for any complex reductive Lie algebra $\mathfrak{g}$. They make up local pieces of the wild mapping class…

几何拓扑 · 数学 2025-04-22 Jean Douçot , Gabriele Rembado , Matteo Tamiozzo