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A (very) brief review of topological defects and their possible cosmic roles. I emphasize in particular that superheavy defects needed for structure formation can peacefully coexist with inflation, despite the claims to the contrary which…

Astrophysics · Physics 2007-05-23 Alexander Vilenkin

We observe that the energy and the enthalpy densities can be smeared by two fudge factors that are constrained by the contracted Bianchi identities. Depending on the analytic properties of the smearing functions the underlying cosmological…

General Relativity and Quantum Cosmology · Physics 2024-04-25 Massimo Giovannini

Causal effect estimation has been studied by many researchers when only observational data is available. Sound and complete algorithms have been developed for pointwise estimation of identifiable causal queries. For non-identifiable causal…

Machine Learning · Statistics 2023-06-26 Ziwei Jiang , Lai Wei , Murat Kocaoglu

Causality plays an important role in understanding intelligent behavior, and there is a wealth of literature on mathematical models for causality, most of which is focused on causal graphs. Causal graphs are a powerful tool for a wide range…

Artificial Intelligence · Computer Science 2024-12-23 Scott Garrabrant , Matthias Georg Mayer , Magdalena Wache , Leon Lang , Sam Eisenstat , Holger Dell

It is by now well known that, at subleading power in scale ratios, factorization theorems for high-energy cross sections and decay amplitudes contain endpoint-divergent convolution integrals. The presence of these divergences hints at a…

High Energy Physics - Phenomenology · Physics 2020-04-06 Ze Long Liu , Matthias Neubert

Compensation of intrinsic charges is widely used to reduce the bulk conductivity of 3D topological insulators (TIs). Here we use low temperature electron irradiation-induced defects paired with in-situ electrical transport measurements to…

Materials Science · Physics 2016-09-27 C. W. Rischau , A. Ubaldini , E. Giannini , C. J. van der Beek

Probabilities of causation are fundamental to individual-level explanation and decision making, yet they are inherently counterfactual and not point-identifiable from data in general. Existing bounds either disregard available covariates,…

Artificial Intelligence · Computer Science 2026-02-17 Yuxuan Xie , Ang Li

Causal inference relies on two fundamental assumptions: ignorability and positivity. We study causal inference when the true confounder value can be expressed as a function of the observed data; we call this setting estimation with…

Methodology · Statistics 2021-02-18 Aahlad Puli , Adler J. Perotte , Rajesh Ranganath

We study various aspects of codimension one defects in free scalar field theory, with particular emphasis on line defects in two-dimensions. These defects are generically non-conformal, but include conformal and topological defects as…

High Energy Physics - Theory · Physics 2025-03-12 Seolhwa Kim , Per Kraus , Zhengdi Sun

We investigate linear matter density perturbations in models of structure formation with causal seeds. Under the fluid approximation, we obtain the analytic solutions using Green-function technique. Some incorrect solutions in the…

Astrophysics · Physics 2007-05-23 Jiun-Huei Proty Wu

The problem of detecting new signals in the presence of an unknown background is ubiquitous in scientific discoveries and is especially prominent in the physical sciences. Most solutions proposed thus far to address the problem focus on…

Methodology · Statistics 2026-05-21 Aritra Banerjee , Sara Algeri

Estimating treatment effects from observational data requires choosing an adjustment set, but valid adjustment depends on an unknown causal graph. Graph misspecification can cause under-coverage, while graph-agnostic conformal wrappers may…

Overlap, also known as positivity, is a key condition for causal treatment effect estimation. Many popular estimators suffer from high variance and become brittle when features differ strongly across treatment groups. This is especially…

Machine Learning · Statistics 2026-04-02 Oscar Clivio , Alexander D'Amour , Alexander Franks , David Bruns-Smith , Chris Holmes , Avi Feller

A phenomenological formalism is presented in which the apparent acceleration of the universe is generated by cosmic structure formation, without resort to Dark Energy, modifications to gravity, or a local void. The observed acceleration…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Brett Bochner

Causal understanding is important in many disciplines of science and engineering, where we seek to understand how different factors in the system causally affect an experiment or situation and pave a pathway towards creating effective or…

Robotics · Computer Science 2025-05-14 Miguel Arana-Catania , Weisi Guo

Perturbative calculations of factorized physical quantities, such as moments of structure functions, suffer from renormalization- and factorization-scheme dependence. The application of the principle of minimal sensitivity to "optimize" the…

High Energy Physics - Phenomenology · Physics 2019-06-26 P. M. Stevenson

Most cosmological models studied today are based on the assumption of homogeneity and isotropy. Observationally one can find evidence that supports these assumptions on very large scales, the strongest being the almost isotropy of the…

Astrophysics · Physics 2007-05-23 Christian Sicka , Thomas Buchert , Martin Kerscher

General definitions for causal structures on manifolds of dimension d+1>2 are presented for the topological category and for any differentiable one. Locally, these are given as cone structures via local (pointwise) homeomorphic or…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Martin Rainer

In inhomogeneous cosmology, restricting attention to an irrotational dust matter model, backreaction arises in terms of the deviation of the averaged spatial scalar curvature from a constant-curvature model on some averaging domain $D$,…

General Relativity and Quantum Cosmology · Physics 2019-08-12 Quentin Vigneron , Thomas Buchert

Causality in a shockwave state is related to the analytic properties of a four-point correlation function. Extending recent results for scalar probes, we show that this constrains the couplings of the stress tensor to light spinning…

High Energy Physics - Theory · Physics 2018-06-20 Thomas Hartman , Sachin Jain , Sandipan Kundu