Results 91 to 100 of about 322 (196)

Strength and partition rank under limits and field extensions

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract The strength of a multivariate homogeneous polynomial is the minimal number of terms in an expression as a sum of products of lower‐degree homogeneous polynomials. Partition rank is the analogue for multilinear forms. Both ranks can drop under field extensions, and both can jump in a limit.
Arthur Bik, Jan Draisma, Amichai Lampert, Tamar Ziegler   +3 more
wiley   +1 more source

Modular analogs of character formulas and minimal lifts of modular forms

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley   +1 more source

The probability of generating finite and profinite groups

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Famously, every finite simple group G$G$ can be generated by a pair of elements. Moreover, Liebeck and Shalev (1995) proved that the probability that a pair of elements generate G$G$ tends to 1 as |G|→∞$|G| \rightarrow \infty$. In this paper, we generalize this theorem of Liebeck and Shalev. Work of Lucchini and Menegazzo (1997) implies that a
Scott Harper, Martyn Quick
wiley   +1 more source

Tropical Donagi theorem

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The tropical n$n$‐gonal construction was introduced in recent work by the first author and D. Zakharov and structural results for n=2,3$n = 2,3$ were established. In this paper, we explore the construction for n=4$n = 4$ and prove a tropical analogue of Donagi's theorem which states that the tetragonal construction is a triality which ...
Felix Röhrle, Thomas Saillez
wiley   +1 more source

On the integral simplicial volume of cyclic covers of mapping tori

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an n$n$‐dimensional torus. By studying the integral filling volume—an invariant introduced by Frigerio and the first author—for the monodromy, we establish both lower and upper ...
Federica Bertolotti, Ervin Hadžiosmanović   +1 more
wiley   +1 more source

Equivariant spaces of matrices of constant corank one

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We classify all irreducible G$G$‐equivariant subspaces of Hom(V1,V2)$\operatorname{Hom}(V_1,V_2)$ of constant corank one, where G$G$ is a reductive group over an algebraically closed field of characteristic zero and Vi$V_i$ are irreducible representations.
Ada Boralevi, Daniele Faenzi, Dragoş Frăţilă   +2 more
wiley   +1 more source

Bertrand Russell, Karin Costelloe‐Stephen, and Temporal Experience

Noûs, Volume 60, Issue 3, Page 536-547, September 2026.
Emily Thomas
wiley   +1 more source

Constant power maps on Hardy fields and transseries

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Let T$\mathbb {T}$ be the differential field of logarithmic‐exponential transseries. We consider the expansion of T$\mathbb {T}$ by the binary map that sends a positive transseries f$f$ and a real number r$r$ to the transseries fr$f^r$, together with a constant symbol for the real number e$\mathrm{e}$. Building on recent work of Aschenbrenner,
Elliot Kaplan
wiley   +1 more source

Understanding Hierarchical Processes. [PDF]

Entropy (Basel), 2022
Buntine W.
europepmc   +1 more source

On Elliott's conjecture and applications

Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract Let f:N→D$f:\mathbb {N}\rightarrow \mathbb {D}$ be a multiplicative function. Under the merely necessary assumption that f$f$ is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts h1,h2$h_1,h_2$, the two‐point correlation 1x∑n⩽xf(n+h1)f¯(n+h2)$$\begin{equation*} \frac{1}{x}\sum _ ...
Oleksiy Klurman, Alexander P. Mangerel, Joni Teräväinen   +2 more
wiley   +1 more source