Related papers: A note on double Danielewski surfaces
In this note we extend a theorem from [13] about uniform circle random coverings
We give a concise proof of the fundamental theorem of smoothing theory in the special case when a smoothing exists.
We outline the proofs of several principal statements in conventional renormalization theory. This may be of some use in the light of new trends and new techniques (Hopf algebras, etc.) recently introduced in the field.
In this paper we present a surprisingly short proof of Minkowski's second theorem. The author hopes there is no mistake in it, though the argument seems to be too plain to contain one. Also, we apply the main construction of the proof to…
The purpose of this note is to give an affirmative answer to a conjecture appearing in [Integral Transforms Spec. Funct. 26 (2015) 90-95].
In this note we show that any proof of Wallis's formula or of the probability integral formula proves both assertions.
We prove some statements of left- and right-continuous variants of generalized inverses of non-decreasing real functions.
In this note we give a wellfoundedness proof of a computable notation system for first-order reflection.
Eq.(19) is added and related issues are further clarified. Also some typos and signs a re corrected.
This note proves sharp affine Gagliardo-Nirenberg inequalities which are stronger than all known sharp Euclidean Gagliardo-Nirenberg inequalities and imply the affine $L^{p}-$Sobolev inequalities. The logarithmic version of affine…
The paper contains an alternative proof of M. Kontsevich Formality Theorem.
A double occurrence word $w$ over a finite alphabet $\Sigma$ is a word in which each alphabet letter appears exactly twice. Such words arise naturally in the study of topology, graph theory, and combinatorics. Recently, double occurrence…
We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.
In this note we complete the study made in a previous paper on a Kirchhoff type equation with a Berestycki-Lions nonlinearity. We also correct Theorem 0.6 inside.
In this note we prove a conjecture by Constantin--Strauss--V\u{a}rv\u{a}ruc\u{a} related to the finite depth water wave problem, tightening their results. The proof uses identities related to Jacobi Theta functions. We also discuss…
We give exposition of a Liouville theorem established in \cite{Li3} which is a novel extension of the classical Liouville theorem for harmonic functions. To illustrate some ideas of the proof of the Liouville theorem, we present a new proof…
This appendix for our article, "Almost-rainbow edge-colorings of some small subgraphs", contains the full proof of Theorem 4.1.
We give a counterexample to Theorem 9 in [T.K. Subrahmonian Moothathu, Syndetically proximal pairs, J. Math. Anal. Appl. 379 (2011) 656--663]. We also provide sufficient conditions for the conclusion of Theorem 9 to hold.
We show that given any tiling of Euclidean space, any geometric patterns of points, we can find a patch of tiles (of arbitrarily large size) so that copies of this patch appear in the tiling nearly centered on a scaled and translated…
In this paper, we derive a new proof on some sharp double integral inequalities of the Hermite-Hadamard type. Our approach is mainly based on well-known Taylor's theorem with the integral remainder.