Related papers: Comment on `Mathematical structure of the three-di…
This note points out a gap in the proof of the main theorem of the article "Birationally rigid hypersurfaces" published in Invent. Math. 192 (2013), 533-566, and provides a new proof of the theorem.
We discuss a geometrical interpretation of the Z-invariant Ising model in terms of isoradial embeddings of planar lattices. The Z-invariant Ising model can be defined on an arbitrary planar lattice if and only if certain paths on the…
The paper has been withdraw by author due to a crucial error in equation 10.
This article has a fatal error. It was noted by F. Hernandez. Article replaces with my answer.
This paper has been withdrawn due to errors found by authors. A correct version of this paper is published in: Tomasz M. Rusin, Wlodek Zawadzki, "Quantum theory of symmetric screening in the Hartree approximation" Phys. stat. sol. (b) 243,…
We correct an error in [I. Kangasniemi, and J. Onninen, On the heterogeneous distortion inequality. Math. Ann. 384 (2022), no. 3-4, 1275-1308.]
In this work a short overview of the development of spin glass theories, mainly long and short range Ising models, are presented.
A reliable model of galaxy bias is necessary for interpreting data from future dense galaxy surveys. Conventional bias models are inaccurate, in that they can yield unphysical results ($\delta_g < -1$) for voids that might contain half of…
We reply to the comments on our paper Perfect Drain for the Maxwell fish eye lens (NJP 13 (2011) 023038) made by Fei Sun. We believe that Sun comments have several mistakes in theoretical concepts and simulation results.
This paper initially aimed at proposing a proof that quasi-dense logics have f.m.p, but it contains a major flaw, unfixable.
This paper has been withdrawn by the author due to serious error found in main argument.
We point out several mistakes in the recent works of I.Affleck and P.Simon (cond-mat/0012002).
This early trial has been withdrawn by the author. For a completed and published version cf. arXiv:math/0608597v5.
The paper is withdrawn because the analysis appeared to be incomplete.
The said paper [Su2] entitled "Proof Of Two Dimensional Jacobian Conjecture" is false.
Deep metric learning papers from the past four years have consistently claimed great advances in accuracy, often more than doubling the performance of decade-old methods. In this paper, we take a closer look at the field to see if this is…
This is a compilation of three separated studies. The main part (Part 3) deals with a unified Picard-Vessiot theory including Picard-Vessiot theories of differential and difference equations. Changes: [v1 -> v2] Corrected descriptions on…
Paper has been withdrawn, see comment.
We describe various errors in the mathematical literature, and consider how some of them might have been avoided, or at least detected at an earlier stage, using tools such as Maple or Sage. Our examples are drawn from three broad…
In this note the authors have raised the question regarding the validity of the main result in [1] by setting an example.