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This paper is the extended introduction of a serie of papers about modelling T-homotopy by refinement of observation. The notion of T-homotopy equivalence is discussed. A new one is proposed and its behaviour with respect to other…

Algebraic Topology · Mathematics 2010-06-29 Philippe Gaucher

This paper is a complement of our recent works on the semilinear Tricomi equations in [8] and[9].

Analysis of PDEs · Mathematics 2017-04-25 Daoyin He , Ingo Witt , Huicheng Yin

We give an informal introduction to the authors' work on some conjectures of Kazhdan and Lusztig, building on work of Soergel and de Cataldo-Migliorini. This article is an expanded version of a lecture given by the second author at the…

Representation Theory · Mathematics 2017-01-11 Ben Elias , Geordie Williamson

We show that the proofs of Gill as well as of Gill, Weihs, Zeilinger and Zukowski contain serious mathematical and physical deficiencies which render them invalid.

Quantum Physics · Physics 2007-05-23 Karl Hess , Walter Philipp

Withdrawn -- a revised version will appear in due course.

Astrophysics · Physics 2007-05-23 Adrian Kent

This is the final remark on the replies received to my target paper in the Italian Journal of Linguistics

Computation and Language · Computer Science 2026-02-17 Cristiano Chesi

We propose a slight correction and a slight improvement on the main result contained in "A lecture on Classical KAM Theorem" by J. P{\"o}schel.

Dynamical Systems · Mathematics 2020-06-09 Abed Bounemoura

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

Analysis of PDEs · Mathematics 2009-10-05 YanYan Li , Louis Nirenberg

Some personal thoughts on Sklar's theorem and copulas after reading the original paper (Sklar, 1959) in French.

Methodology · Statistics 2023-12-25 Gery Geenens

This is a collection of three written discussions of the paper "sequential quasi-Monte Carlo sampling" by M. Gerber and N. Chopin, following the presentation given before the Royal Statistical Society in London on December 10th, 2014.

Computation · Statistics 2015-05-27 Julyan Arbel , Igor Prunster , Christian P. Robert , Robin J. Ryder

Comment on paper by A. Zvyagin, Phys. Rev. B 64, R060405 (2001).

Strongly Correlated Electrons · Physics 2007-05-23 N. Andrei

I comment on the paper hep-th/9808013 by A. Berkovich and B.M. McCoy.

High Energy Physics - Theory · Physics 2007-05-23 K. Schoutens

Expanded lecture notes. Preliminary version, comments are welcome.

Combinatorics · Mathematics 2018-05-31 Bogdan Nica

We can give a slight improvement for a result related to the distribution of squares in Piatetski-Shapiro sequences of Liu-Shparlinski-Zhang \cite{lsz} by involving three different ideas.

Number Theory · Mathematics 2022-12-13 Wei Zhang

This report is a collection of comments on the Read Paper of Fearnhead and Prangle (2011), to appear in the Journal of the Royal Statistical Society Series B, along with a reply from the authors.

This paper introduces a new theory which encompasses concepts and ideas from set theory, type theory, and Le\'{s}niewski's mereology and describes its possibility as an alternative foundation for mathematics. In the introduction section I…

Logic · Mathematics 2016-09-15 Jin Hoo Lee

The notion of acceptable bundles plays a fundamental role in the Simpson--Mochizuki theory. We study acceptable bundles on a partially punctured polydisk in detail. While this article is primarily expository, it also presents new arguments…

Algebraic Geometry · Mathematics 2026-04-08 Osamu Fujino , Taro Fujisawa , Takashi Ono

Certain rearrangement inequalities of a type considered by Hardy, Riesz, and Brascamp-Lieb-Luttinger are studied. Subsets of the real line that extremize these inequalities are characterized. Our results apply only to special cases, and…

Classical Analysis and ODEs · Mathematics 2013-08-27 Michael Christ , Taryn C. Flock

Inclusion and accessibility in visualization research have gained increasing attention in recent years. However, many challenges still remain to be solved on the road toward a more inclusive, shared-experience-driven visualization design…

Human-Computer Interaction · Computer Science 2022-09-13 Katrin Angerbauer , Michael Sedlmair

This survey paper is an expanded version of lectures given at the Clay Mathematics Academy ; see http://www.claymath.org/programs/outreach/academy/colloquium2005.php These lectures were intended to very young (and motivated) college…

K-Theory and Homology · Mathematics 2007-05-23 Max Karoubi
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