Results 21 to 30 of about 76 (75)
On a common refinement of Stark units and Gross–Stark units
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract The purpose of this paper is to formulate and study a common refinement of a version of Stark's conjecture and its p$p$‐adic analogue, in terms of Fontaine's p$p$‐adic period ring. We construct period‐ring‐valued functions under a generalization of Yoshida's conjecture on the transcendental parts of CM‐periods.
Tomokazu Kashio
wiley +1 more source
Twisted conjugacy in soluble arithmetic groups
Mathematische Nachrichten, Volume 298, Issue 3, Page 763-793, March 2025.Abstract Reidemeister numbers of group automorphisms encode the number of twisted conjugacy classes of groups and might yield information about self‐maps of spaces related to the given objects. Here, we address a question posed by Gonçalves and Wong in the mid‐2000s: we construct an infinite series of compact connected solvmanifolds (that are not ...
Paula M. Lins de Araujo +1 more
wiley +1 more source
On vertex‐transitive graphs with a unique hamiltonian cycle
Journal of Graph Theory, Volume 108, Issue 1, Page 65-99, January 2025.Abstract A graph is said to be uniquely hamiltonian if it has a unique hamiltonian cycle. For a natural extension of this concept to infinite graphs, we find all uniquely hamiltonian vertex‐transitive graphs with finitely many ends, and also discuss some examples with infinitely many ends.
Babak Miraftab, Dave Witte Morris
wiley +1 more source
Exact solitary wave solutions for a coupled gKdV–Schrödinger system by a new ODE reduction method
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.Abstract A new method is developed for finding exact solitary wave solutions of a generalized Korteweg–de Vries equation with p$p$‐power nonlinearity coupled to a linear Schrödinger equation arising in many different physical applications. This method yields 22 solution families, with p=1,2,3,4$p=1,2,3,4$.
Stephen C. Anco +3 more
wiley +1 more source
Auto‐Bäcklund Transformations for New Matrix First and Second Painlevé Hierarchies
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT We define a new doubly extended matrix second Painlevé hierarchy, and in addition a new extended matrix first Painlevé hierarchy. For the former, we present three auto‐Bäcklund transformations (auto‐BTs) that constitute nontrivial extensions to our new hierarchy of previously derived results on the auto‐BTs of a much simpler matrix second ...
Pilar Ruiz Gordoa, Andrew Pickering
wiley +1 more source
Equivariant birational types and derived categories
Mathematische Nachrichten, Volume 297, Issue 11, Page 4333-4355, November 2024.Abstract We investigate equivariant birational geometry of rational surfaces and threefolds from the perspective of derived categories.
Christian Böhning +2 more
wiley +1 more source
Isometries of Lipschitz‐free Banach spaces
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We describe surjective linear isometries and linear isometry groups of a large class of Lipschitz‐free spaces that includes, for example, Lipschitz‐free spaces over any graph. We define the notion of a Lipschitz‐free rigid metric space whose Lipschitz‐free space only admits surjective linear isometries coming from surjective dilations (i.e ...
Marek Cúth +2 more
wiley +1 more source
The Borel complexity of the space of left‐orderings, low‐dimensional topology, and dynamics
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We develop new tools to analyze the complexity of the conjugacy equivalence relation Elo(G)$E_\mathsf {lo}(G)$, whenever G$G$ is a left‐orderable group. Our methods are used to demonstrate nonsmoothness of Elo(G)$E_\mathsf {lo}(G)$ for certain groups G$G$ of dynamical origin, such as certain amalgams constructed from Thompson's group F$F$.
Filippo Calderoni, Adam Clay
wiley +1 more source
On the length of nonsolutions to equations with constants in some linear groups
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2338-2349, July 2024.Abstract We show that for any finite‐rank–free group Γ$\Gamma$, any word‐equation in one variable of length n$n$ with constants in Γ$\Gamma$ fails to be satisfied by some element of Γ$\Gamma$ of word‐length O(log(n))$O(\log (n))$. By a result of the first author, this logarithmic bound cannot be improved upon for any finitely generated group Γ$\Gamma$.
Henry Bradford +2 more
wiley +1 more source
Automorphic Bloch theorems for hyperbolic lattices. [PDF]
Proc Natl Acad Sci U S A, 2022 Maciejko J, Rayan S.
europepmc +1 more source