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In this note we correct two errors in our paper "On the Homology of Completion and Torsion", arXiv:1010.4386, that appeared in Algebras and Representation Theory (2014).

Commutative Algebra · Mathematics 2015-06-26 Marco Porta , Liran Shaul , Amnon Yekutieli

In this revised version, we add some expository material and references and make some minor corrections.

alg-geom · Mathematics 2008-02-03 Robert Friedman , John W. Morgan

These notes fill in results about oriented percolation that are required for the paper [3] ("Forward clusters for degenerate random environments"). Since these are essentially modifications of results found in other sources (but adapted to…

Probability · Mathematics 2016-03-28 Mark Holmes , Thomas S. Salisbury

We correct an inaccuracy in a previous article [Auscher, Pascal; Bernicot, Fr\'ed\'eric; Zhao, Jiman. Maximal regularity and Hardy spaces. Collect. Math. 59 (2008), no. 1, 103-127.]

Classical Analysis and ODEs · Mathematics 2008-10-29 Pascal Auscher , Frédéric Bernicot , Jiman Zhao

In this note we extend a recent result of S. Brendle [3] to Riemannian manifolds with densities and nonnegative Bakry-\'Emery Ricci curvature.

Differential Geometry · Mathematics 2021-03-16 Florian Johne

This manuscript, a revised version of arXiv:0811.3168v1, was inadvertently submitted as a separate paper. It can now be accessed, including some final corrections for the published version, as arXiv:0811.3168v2.

Disordered Systems and Neural Networks · Physics 2009-11-13 Alessia Annibale , Peter Sollich

A fairly general procedure is studied to perturbate a multivariate density satisfying a weak form of multivariate symmetry, and to generate a whole set of non-symmetric densities. The approach is general enough to encompass a number of…

Methodology · Statistics 2009-11-13 Adelchi Azzalini , Antonella Capitanio

We present simple assumptions on the constraints defining a hard core dynamics for the associated reflected stochastic differential equation to have a unique strong solution. Time-reversibility is proven for gradient systems with normal…

Probability · Mathematics 2013-06-17 Myriam Fradon

This paper gives direct derivations of the differential equations and likelihood formulas of diffusion models assuming only knowledge of Gaussian distributions. A VAE analysis derives both forward and backward stochastic differential…

Machine Learning · Computer Science 2023-03-07 David McAllester

This is a submission to the Encyclopedia of Mathematical Physics (Elsevier, 2006) and conforms to its referencing guidelines.

Mathematical Physics · Physics 2007-05-23 Michael R. Douglas

This paper is removed from the network permanently. The content in this paper has now been put together with hep-th/9310183. See the recently replaced and widely revised version of the latter.

High Energy Physics - Theory · Physics 2008-02-03 Anthony J. Bracken , Yao-Zhong Zhang , Mark D Gould

This is the original version of my Ph.D. thesis. The main results have been divided up between papers arXiv:2111.09784 and arXiv:2204.10924. This paper has been kept on the arXiv to preserve some proofs of elementary lemmas that will be…

Number Theory · Mathematics 2022-05-03 Evan M. O'Dorney

An updated version with a few corrections.

Differential Geometry · Mathematics 2007-05-23 Wolfgang Ziller

Consider the problem when $X_1,X_2,..., X_n$ are distributed on a circle following an unknown distribution $F$ on $S^1$. In this article we have consider the absolute general set-up where the density can have local features such as…

Methodology · Statistics 2016-11-26 Kinjal Basu , Debapriya Sengupta

Numerical simulations of the time-dependent Swift-Hohenberg equation are used to test predictions of Cross [Phys. Rev. A 25:1065-1076 (1982)] that Rayleigh-Benard convection in the form of straight rolls or of an array of dislocations may…

Pattern Formation and Solitons · Physics 2009-11-07 Berk Sensoy , Henry Greenside

Some mathematical errors of the paper commented upon [W.-M. Suen, Phys. Rev. D 40, (1989) 315] are corrected.

General Relativity and Quantum Cosmology · Physics 2009-11-07 H. -J. Schmidt

This is an erratum to our paper.

Quantum Physics · Physics 2011-01-28 Zhao Liu , Heng Fan

This article has been withdrawn by arXiv administrators because it plagiarises arXiv:1006.4556 (published in Phys. Lett. B 693, 129 (2010)).

General Relativity and Quantum Cosmology · Physics 2010-10-22 Yun Soo Myung

We argue that the interpretation of the experiment [Nature Physics 21, 708-715 (2025)] is misleading in two respects. First, the bias voltages impact the non-local differential conductance randomly, rather than systematically, and the bias…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 E. S. Tikhonov , V. S. Khrapai

In this proceedings contribution we summarize and discuss results of Refs. \cite{Grumiller:2013swa, Grumiller:2015vaa} in the light of recent developments in $\textrm{AdS}_2$ holography \cite{Maldacena:2016upp, Jensen:2016pah,…

High Energy Physics - Theory · Physics 2017-04-05 Daniel Grumiller , Jakob Salzer , Dmitri Vassilevich
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