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This paper corrects an error in [Keller-Ressel, M. and Steiner T. "Yield curve shapes and the asymptotic short rate distribution in affine one-factor models." Finance and Stochastics 12.2 (2008): 149-172]. The error concerns the correct…

Mathematical Finance · Quantitative Finance 2018-02-15 Martin Keller-Ressel

We correct the proof of the main theorem of our paper of the same title (Topology, 34, no.3, 633-649, 1995).

Algebraic Topology · Mathematics 2010-03-05 John Martino , Stewart Priddy

We prove the Fargues-Rapoport conjecture for p-adic period domains in the non-basic case with minuscule cocharacter. More precisely, we give a group theoretical criterion for the cases when the admissible locus and weakly admissible locus…

Algebraic Geometry · Mathematics 2022-02-11 Miaofen Chen

We continue the work of [4, 2, 3], in which we discuss published assertions that are incorrect or incorrectly proven; that are severely limited or reduce to triviality; or that we improve upon.

Geometric Topology · Mathematics 2020-01-31 Laurence Boxer

There are several proofs now for the stability of Toom's example of a two-dimensional stable cellular automaton and its application to fault-tolerant computation. Simon and Berman simplified and strengthened Toom's original proof: the…

Formal Languages and Automata Theory · Computer Science 2021-05-14 Peter Gacs

Typographical corrections to the original paper, intended for publication in Physical Review E.

Mathematical Physics · Physics 2009-11-10 J. D. Harrop , S. N. Taraskin , S. R. Elliott

We study several rigidity properties of $p$-adic local systems on a smooth rigid analytic space $X$ over a $p$-adic field. We prove that the monodromy of the log isocrystal attached to a $p$-adic local system is ''rigid'' along irreducible…

Algebraic Geometry · Mathematics 2025-09-25 Hansheng Diao , Zijian Yao

Understanding NP-complete problems is a central topic in computer science. This is why adiabatic quantum optimization has attracted so much attention, as it provided a new approach to tackle NP-complete problems using a quantum computer.…

Quantum Physics · Physics 2010-12-13 Boris Altshuler , Hari Krovi , Jeremie Roland

It has long been known that complex balanced mass-action systems exhibit a restrictive form of behaviour known as locally stable dynamics. This means that within each compatibility class $\mathcal{C}_{\mathbf{x}_0}$---the forward invariant…

Dynamical Systems · Mathematics 2014-07-15 David Siegel , Matthew D. Johnston

Inspired by Emerton's work for GL(2), we study the completed cohomology of the tower of finite sets associated with a definite unitary group in two variables. When p splits (and other technical assumptions are fulfilled), we show that the…

Number Theory · Mathematics 2013-04-18 Przemyslaw Chojecki , Claus Sorensen

A well-known combinatorial algorithm can decide generic rigidity in the plane by determining if the graph is of Pollaczek-Geiringer-Laman type. Methods from matroid theory have been used to prove other interesting results, again under the…

Metric Geometry · Mathematics 2020-10-07 Andrew Frohmader , Alexander Heaton

The stability problem in Ulam's sense has recently been explored in locally convex cone environments, as shown in \cite{ MNF, NR1, NR2}. In continuation of this research direction, our work examines the stability properties of the quadratic…

Functional Analysis · Mathematics 2025-08-19 J. -H. Bae , J. Mohammadpour , A. Najati

In a well generated triangulated category T, given a regular cardinal a, we consider the following problems: given a functor from the category of a-compact objects to abelian groups that preserves products of <a objects and takes exact…

Algebraic Topology · Mathematics 2023-02-09 Fernando Muro , Oriol Raventós

In a previous paper we formulated an analogue of the Ichino-Ikeda conjectures for Whittaker-Fourier coefficients of cusp forms on quasi-split groups, as well as the metaplectic group of arbitrary rank. In this paper we reduce the conjecture…

Number Theory · Mathematics 2018-09-25 Erez Lapid , Zhengyu Mao

We point out some minor errors in a paper by the first author, and explain why they do not affect the main results in the paper.

Group Theory · Mathematics 2025-03-31 Alex Gonzalez , Bob Oliver

This paper continues a series discussing flaws in published assertions concerning fixed points in digital metric spaces.

Geometric Topology · Mathematics 2023-07-21 Laurence Boxer

This paper provides the first proof that Anderson acceleration (AA) improves the convergence rate of general fixed point iterations. AA has been used for decades to speed up nonlinear solvers in many applications, however a rigorous…

Numerical Analysis · Mathematics 2019-02-22 Claire Evans , Sara Pollock , Leo G. Rebholz , Mengying Xiao

In one of our previous articles, we outlined the formulation of a version of the categorical arithmetic local Langlands conjecture. The aims of this article are threefold. First, we provide a detailed account of one component of this…

Representation Theory · Mathematics 2025-04-11 Xinwen Zhu

A 1971 conjecture of Graham (later repeated by Erd\H{o}s and Graham) asserts that every set $A \subseteq \mathbb{F}_p \setminus \{0\}$ has an ordering whose partial sums are all distinct. We prove this conjecture for sets of size $|A|…

Combinatorics · Mathematics 2025-01-09 Benjamin Bedert , Noah Kravitz