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This note is the written version of conversations with young colleagues on unofficial history, general ideas, unexpected facts and open problems concerning tilting theory.

Representation Theory · Mathematics 2014-11-18 Gabriella D'Este

Remarks on reply (cond-mat/0206368) to Johansen's comment (cond-mat/0205249)

Condensed Matter · Physics 2007-05-23 Anders Johansen

In this note we answer the two questions raised by Y.Y Li and L. Nguyen in their note [LN2] below.

Analysis of PDEs · Mathematics 2013-02-28 Xu-Jia Wang

These are notes from a basic course in Several Complex Variables

Complex Variables · Mathematics 2015-07-03 John Erik Fornaess

In this note we refine the alternativity in some bifurcation theorems of Rabinowitz type, and then improve a few of results in Lu (2022) [17].

Functional Analysis · Mathematics 2023-09-13 Guangcun Lu

The above hep-th posting purports -- erroneously -- to be a comment on a Note by me in gr-qc.

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Deser

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

Logic · Mathematics 2011-12-20 Martin Goldstern , Jakob Kellner , Saharon Shelah , Wolfgang Wohofsky

This note is based on Wonham \cite{Wonham}. The differences between this note and [Wonham] are discussed in Section VIII.

Probability · Mathematics 2009-04-21 M. Zakai

In this note we provide a simple formula of general term of recurrent sequence.

Rings and Algebras · Mathematics 2007-05-23 S. Amghibech

In this short note we present some remarks and conjectures on two of Erd\"os's open problems in number theory.

General Mathematics · Mathematics 2007-05-23 Florentin Smarandache

In this note we rectify the proof of Theorem 3.11 in [arXiv:2403.02876]. We also present a set of examples at the end discussing various cases.

Commutative Algebra · Mathematics 2026-04-14 Neena Gupta , Sourav Sen

This is a note on MacPherson's Chern class for algebraic stacks, based on a previous paper of the author [arXiv:math/0407348]. We also discuss other additive characteristic classes in the same manner.

Algebraic Geometry · Mathematics 2017-08-17 Toru Ohmoto

Expository notes on the Schwarz lemma born out of some lectures given on the subject.

History and Overview · Mathematics 2022-12-26 Kyle Broder

This is a comment on two recent arXiv postings.

Mesoscale and Nanoscale Physics · Physics 2015-01-26 Supriyo Bandyopadhyay , Jayasimha Atulasimha

The present note is an answer to complains of E.Weitz on [Sh:371]. We present a corrected version of a part of chapter VIII of " Cardinal Arithmetic".

Logic · Mathematics 2007-05-23 Saharon Shelah

This reply tries to rectify some misunderstandings that are in our opinion contained in the Comment by Campostrini and Rossi, <hep-lat 99407008> on our paper <hep-lat 9407003>.

High Energy Physics - Lattice · Physics 2007-05-23 A. Patrascioiu , E. Seiler

These notes concern linear transformations on R^n and C^n, exponentials of linear transformations, and some related geometric questions.

Classical Analysis and ODEs · Mathematics 2007-05-23 Stephen William Semmes

We obtain simple proofs of certain inequalites for bivariate means.

Classical Analysis and ODEs · Mathematics 2011-05-04 Jozsef Sandor

Here I share a few notes I used in various course lectures, talks, etc. Some may be just calculations that in the textbooks are more complicated, scattered, or less specific; others may be simple observations I found useful or curious.

Discrete Mathematics · Computer Science 2025-06-17 Leonid A. Levin

These are course notes I wrote for my Fall 2013 graduate topics course on geometric structures, taught at ICERM. The notes rework many of proofs in William P. Thurston's beautiful but hard-to-understand paper, "Shapes of Polyhedra". A…

Geometric Topology · Mathematics 2015-06-25 Richard Evan Schwartz