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Recently, Sengupta and Ghosh [Phys. Fluids 34, 054116, (2022)] published a linear stability analysis of a pressure-driven channel flow which is subject to rotation around a spanwise axis and a uniform magnetic field applied in the same…

Fluid Dynamics · Physics 2022-10-03 Jānis Priede

This paper has been withdrawn by the author, since now all four parts of the review are available as a single file 0804.1639. I also made some revision of the text in order to avoid misprints and some inaccurate expressions.

Other Condensed Matter · Physics 2008-07-21 A. M. Panich

This is a survey on rectifiability. I discuss basic properties of rectifiable sets, measures, currents and varifolds and their role in complex and harmonic analysis, potential theory, calculus of variations, PDEs and some other topics.

Classical Analysis and ODEs · Mathematics 2022-03-02 Pertti Mattila

In the first part of this article, I summarise two centuries of research on turbulence. I also critically discuss some of the interpretations that are still in use, as turbulence remains an inherently non-linear problem that is still…

Fluid Dynamics · Physics 2024-03-12 Marie Farge

This is a survey written for a special edition of the journal of differential geometry.

Differential Geometry · Mathematics 2007-07-23 Burkhard Wilking

This paper is based on a course given by the author at the University of Rome ``La Sapienza'' in the Academic year 2000/2001. The intended aim of the course was to rapidly introduce, although not in an exhaustive way, the non-expert PhD…

Algebraic Geometry · Mathematics 2007-05-23 Marco Manetti

It is our aim in this article to correct the wrong impression created in the paper of A. Rafiq titled: "Convergence theorems for uniformly L-Lipschitzian Asymptotically Nonexpansive mappings" which appeared in Acta Universitatis Apulensis…

Functional Analysis · Mathematics 2010-10-25 Eric U. Ofoedu

This paper systematically maps peer-reviewed research and graduate theses/dissertations that explicitly simulate the waterfall model. Following Petersen's mapping guidelines and Kitchenham's systematic literature review practices, major…

Software Engineering · Computer Science 2025-12-19 Antonios Saravanos

A brief introduction to exterior differential systems for graduate students familiar with manifolds and differential forms. For complete files, see https://github.com/Ben-McKay/introduction-to-exterior-differential-systems

Differential Geometry · Mathematics 2020-09-17 Benjamin McKay

This paper has been withdrawn. See quant-ph/0408115: G. M. D'Ariano, P. Perinotti and P. Lo Presti, "Classical randomness in quantum measurements"

Quantum Physics · Physics 2007-05-23 Giacomo Mauro D'Ariano , Paoloplacido LoPresti

We review results on and around the almost complex structure on $S^6$, both from a classical and a modern point of view. These notes have been prepared for the Workshop "(Non)-existence of complex structures on $S^6$" (\emph{Erste Marburger…

Differential Geometry · Mathematics 2017-07-28 Ilka Agricola , Aleksandra Borówka , Thomas Friedrich

This paper is superseded by arXiv:1106.3367

Complex Variables · Mathematics 2011-11-29 Yûsuke Okuyama

This is an extended abstract presenting new results on the topological complexity of omega-powers (which are included in a paper "Classical and effective descriptive complexities of omega-powers" available from arXiv:0708.4176) and…

Logic in Computer Science · Computer Science 2008-09-11 Olivier Finkel , Dominique Lecomte

This is the old version of this project. Please find the new version at 1906.12233.

Analysis of PDEs · Mathematics 2022-03-11 Xin Liu

These are notes from my lecture at 4ECM in Stockholm (June 2004).

Mathematical Physics · Physics 2007-05-23 Andrei Okounkov

This is a draft version of an invited article for a forthcoming book `The genesis of Langlands Program', eds. Julia Mueller and Freydoon Shahidi, which will be published in the London Mathematics Society Lecture Notes Series. It gives a…

Functional Analysis · Mathematics 2019-11-12 Derek W Robinson

In this comment we report that a recent paper [Eur. Phys. J. Plus 138, 195 (2023)] contains significant errors, omissions and inaccuracies.

Exactly Solvable and Integrable Systems · Physics 2023-08-02 Cihangir Özemir , Faruk Güngör

This is a copy of the article published in Math Res. Letters 5, (1998) 497-516.

Algebraic Geometry · Mathematics 2011-05-12 A. B. Goncharov

These notes are based on lectures given by the author at the Summer School on Teichm\"uller dynamics, mapping class groups and applications in Grenoble, France, in June 2018 and at the Oberwolfach Seminar on Anisotropic Spaces and their…

Dynamical Systems · Mathematics 2020-07-08 Giovanni Forni

The paper has been withdrawn. The revised paper has been published in Phys. Rev. B 69, 115313 (2004).

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mami Hamasaki
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