Related papers: Remarks on an article by Rabern et al

We correct a mistake in Shen Yibing, Yu Yaoyong, On Projectively Related Randers Metrics, International Journal of Mathematics 19}(2008), no. 5, 503--520, and prove the natural generalization of the projective Lichnerowicz-Obata conjecture…

Benenti et al. recently submitted a Comment (arXiv:0912.3667) on our work "Coherent Ratchets in Driven Bose-Einstein condensates". We show that the main claim of the Comment is wrong, and correct some other misunderstandings presented…

This note imparts heuristic arguments and theorectical evidences that contradict the abc conjecture over the rational numbers. In addition, the rudimentary datails for transforming this problem into the doimain of equidistribution theory…

The comment gives principal arguments proving that the claims given in the title of the commented paper and some its conclusions have to be wrong for principal reasons. An example illustrating the arguments is provided via atomistic…

We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.

We outline an approach to prove the two dimensional Jacobian Conjecture using the theory of fractals.

The said paper [Su2] entitled "Proof Of Two Dimensional Jacobian Conjecture" is false.

We respond to invalid criticism in the recent Comment by Schneider et al. [arXiv:1407.4127v1]

In this article we investigate which compact spaces remain compact under countably closed forcing. We prove that, assuming the Continuum Hypothesis, the natural generalizations to $\omega_1$-sequences of the selection principle and…

In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.

This paper shows that the basic logic induced by the parallel recurrence of Computability Logic is a proper superset of the basic logic induced by the branching recurrence. The latter is known to be precisely captured by the cirquent…

We show that the Jacobian conjecture of the two dimensional case is true.

We address a recent proposal concerning 'surplus structure' due to Nguyen et al. ['Why Surplus Structure is Not Superfluous.' Br. J. Phi. Sci. Forthcoming.] We argue that the sense of 'surplus structure' captured by their formal criterion…

We present several results, including some remarks on the Hopf Lemma.

In this note, we show that a part of [5, Remark 2.2] is not correct. Some conditions are given under which the same holds.

As a coauthor of the article mentioned in the title, I discuss the criticism in the comment of Aalseth et al. Part of the criticism is justified.

A conference talk discussing the conjecture of Langlands and Rapoport concerning the structure of the points on a Shimura variety modulo a prime of good reduction.

We show that Connes' embedding conjecture (CEC) is equivalent to a real version of the same (RCEC). Moreover, we show that RCEC is equivalent to a real, purely algebraic statement concerning trace positive polynomials. This purely algebraic…

This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.

Comment on P. Walker, Nature 453 (2008) 864, http://www.nature.com/nature/journal/v453/n7197/full/453864a.html