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The ubiquitous regression to the mean (RTM) effect complicates statistical inference regarding the relationship between baseline levels of a biological variable and its subsequent change. We demonstrate that common RTM correction methods…

统计方法学 · 统计学 2026-04-03 José F. Fontanari , Mauro Santos

The Wilsonian renormalization group (RG) requires Euclidean signature. The conformal factor of the metric then has a wrong-sign kinetic term, which has a profound effect on its RG properties. Generically for the conformal sector, complete…

高能物理 - 理论 · 物理学 2018-08-10 Tim R. Morris

We study the finite dimensional marginals of the Gibbs measure in the Hopfield model at low temperature when the number of patterns, $M$, is proportional to the volume with a sufficiently small proportionality constant $\a>0$. It is shown…

无序系统与神经网络 · 物理学 2008-02-03 Anton Bovier , Veronique Gayrard

We formulate a correspondence between non-relativistic conformal field theories (NRCFTs) in d-1 spatial dimensions and gravitational theories in AdS_{d+2} backgrounds with one compactified lightlike direction. The breaking of the maximal…

高能物理 - 理论 · 物理学 2011-07-05 Walter D. Goldberger

The conformal anomaly is computed on even $d$--spheres for a $p$--form propagating according to the Branson--Gover higher derivative, conformally covariant operators. The system is set up on a $q$--deformed sphere and the conformal anomaly…

高能物理 - 理论 · 物理学 2020-08-12 J. S. Dowker

In this note we show that unsatisfiable systems of linear equations with a constant number of variables per equation over prime finite fields have polynomial-size constant-degree semi-algebraic proofs of unsatisfiability. These are proofs…

计算复杂性 · 计算机科学 2015-02-16 Albert Atserias

Robust Ordinal Regression (ROR) is a way of dealing with Multiple Criteria Decision Aiding (MCDA), by considering all sets of parameters of an assumed preference model, that are compatible with preference information given by the Decision…

最优化与控制 · 数学 2012-06-28 Salvatore Corrente , Salvatore Greco , Roman Slowinski

In previous work, Abramsky, Dawar and Wang (LiCS 2017) and Abramsky and Shah (CSL 2018) have shown how a range of model comparison games which play a central role in finite model theory, including Ehrenfeucht-Fraisse, pebbling, and…

计算机科学中的逻辑 · 计算机科学 2021-05-14 Samson Abramsky , Dan Marsden

The Poincar\'e sector of a recently deformed conformal algebra is proposed to describe, after the identification of the deformation parameter with the Planck length, the symmetries of a new relativistic theory with two observer-independent…

高能物理 - 理论 · 物理学 2016-11-09 Nicola Rossano Bruno

Let $C\subseteq \{1,\ldots,k\}^n$ be such that for any $k$ distinct elements of $C$ there exists a coordinate where they all differ simultaneously. Fredman and Koml\'os studied upper and lower bounds on the largest cardinality of such a set…

组合数学 · 数学 2020-02-26 Simone Costa , Marco Dalai

Working to lowest non-trivial order in fermions, we consider the four-derivative order corrected Lagrangian and supersymmetry transformations of the Euclidean Bagger-Lambert-Gustavsson theory. By demonstrating supersymmetric invariance of…

高能物理 - 理论 · 物理学 2015-06-05 Paul Richmond

We show that the gamma_i-deformation, which was proposed as candidate gauge theory for a non-supersymmetric three-parameter deformation of the AdS/CFT correspondence, is not conformally invariant due to a running double-trace coupling - not…

高能物理 - 理论 · 物理学 2015-04-01 Jan Fokken , Christoph Sieg , Matthias Wilhelm

We present a general procedure for incorporating higher-order information into the scale-setting prescription of Brodsky, Lepage and Mackenzie. In particular, we show how to apply this prescription when the leading coefficient or…

高能物理 - 唯象学 · 物理学 2009-11-07 K. Hornbostel , G. P. Lepage , C. Morningstar

It is shown that centrally extended N-Galilean conformal algebra, with N-odd, is the maximal symmetry algebra of the Schrodinger equation corresponding to the free Lagrangian involving (N+1)/2-th order time derivatives.

高能物理 - 理论 · 物理学 2012-12-14 K. Andrzejewski , J. Gonera , P. Kosinski

The turn-around radii of the galaxy groups show the imprint of a long battle between their self-gravitational forces and the accelerating space. The standard $\Lambda$CDM cosmology based on the general relativity (GR) predicts the existence…

宇宙学与河外天体物理 · 物理学 2017-06-21 Jounghun Lee , Baojiu Li

Mach's principle is incompatible with general relativity (GR), it has not condensed into an established theory and suffers from inconsistencies. Yet, the problem is that Mach's principle is a consequence of Berkeley's notions, which are as…

广义相对论与量子宇宙学 · 物理学 2014-04-17 Herman Telkamp

We study the renormalizability of (massive) topological QCD based on the algebraic BRST technique by adopting a non-covariant Landau type gauge and making use of the full topological superalgebra. The most general local counter terms are…

高能物理 - 理论 · 物理学 2009-11-07 Bodo Geyer , Dietmar Mülsch

Ladders of field polynomial differential forms obeying systems of descent equations and corresponding to observables and anomalies of gauge theories are renormalized. They obey renormalized descent equations. Moreover they are shown to have…

高能物理 - 理论 · 物理学 2009-10-22 Olivier Piguet , Silvio P. Sorella

Equations related to the Polchinski version of the exact renormalisation group equations for scalar fields which extend the local potential approximation to first order in a derivative expansion, and which maintain reparameterisation…

高能物理 - 理论 · 物理学 2009-05-29 H. Osborn , D. E. Twigg

Conformal symmetry underlies the mathematical description of various two-dimensional integrable models (e.g. for their Lax representation, Poisson algebra, zero curvature representation,...) or of conformal models (for the anomalous Ward…

可精确求解与可积系统 · 物理学 2007-05-23 Francois Gieres