Results 41 to 50 of about 136 (128)
Varieties of completely regular semigroups [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1985 AbstractIf CS(respectively, O) denotes the class of all completely simple semigroups (respectively, semigroups that are orthodox unions of groups) then CS(respectively, O) is a variety of algebras with respect to the operations of multiplication and inversion. The main result shows that the lattice of subvarieties of is a precisely determined subdirect
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Maximum number of zeroes of polynomials on weighted projective spaces over a finite field
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We compute the maximum number of rational points at which a homogeneous polynomial can vanish on a weighted projective space over a finite field, provided that the first weight is equal to 1. This solves a conjecture by Aubry, Castryck, Ghorpade, Lachaud, O'Sullivan and Ram, which stated that a Serre‐like bound holds with equality for weighted
Jade Nardi, Rodrigo San‐José
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Isotopy and equivalence of knots in 3‐manifolds
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto +4 more
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A priori bounds for the generalised parabolic Anderson model
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1315-1394, May 2026.Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
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Stochastic Dynamics From Maximum Entropy in Action Space
Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We develop an information‐theoretic formulation of stochastic dynamics in which the fundamental stochastic variable is the total action connecting spacetime points, rather than individual paths. By maximizing Shannon entropy over a joint distribution of actions and endpoints, subject to normalization and a constraint on the mean action, we ...
Fabricio Souza Luiz +3 more
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THE ANALOGUE OF WEIGHTED GROUP ALGEBRA FOR SEMITOPOLOGICAL SEMIGROUPS [PDF]
Journal of Sciences, Islamic Republic of Iran, 1995 In [1,2,3], A. C. Baker and J.W. Baker studied the subspace Ma(S) of the convolution measure algebra M, (S) of a locally compact semigroup. H. Dzinotyiweyi in [5,7] considers an analogous measure space on a large class of C-distinguished topological ...
doaj
In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies
Random Structures &Algorithms, Volume 68, Issue 3, May 2026.ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook +2 more
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Completely regular semigroups as semigroups of partial transformations
Semigroup Forum, 1994 Let \(S\) be a completely regular semigroup. The (right) Schützenberger representation of \(S\) is the morphism \(\rho: S \to {\mathcal P\mathcal T}(S)\), where for \(a \in S\), \(\rho_ a\) denotes right translation by \(a\), restricted to the principal ideal \(S a S\) that it generates.
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Stability of Blaschke products under forward iteration
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Forward iteration of holomorphic self‐maps generalizes the iteration of a single function in a natural way. This framework arises in complex dynamics, for instance, in the study of wandering domains and in seeking suitable extensions of the Denjoy–Wolff theorem. Here, we consider forward iteration of Blaschke products.
Daniela Kraus +2 more
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CHARACTERIZING SOME COMPLETELY REGULAR SEMIGROUPS BY THEIR SUBSEMIGROUPS [PDF]
Journal of the Australian Mathematical Society, 2013 AbstractWe consider several familiar varieties of completely regular semigroups such as groups and completely simple semigroups. For each of them, we characterize their members in terms of absence of certain kinds of subsemigroups, as well as absence of certain divisors, and in terms of a homomorphism of a concrete semigroup into the semigroup itself ...
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