Results 41 to 50 of about 1,185 (166)

From simplex slicing to sharp reverse Hölder inequalities

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Simplex slicing (Webb, 1996) is a sharp upper bound on the volume of central hyperplane sections of the regular simplex. We extend this to sharp bounds in the probabilistic framework of negative moments, and beyond, of centred log‐concave random variables, establishing a curious phase transition of the extremising distribution for new sharp ...
James Melbourne, Michael Roysdon, Colin Tang, Tomasz Tkocz   +3 more
wiley   +1 more source

Gauge-Higgs models from nilmanifolds

Physics Letters B, 2022
We consider the compactification of a Yang-Mills theory on a three-dimensional nilmanifold. The compactification generates a Yang-Mills theory in four space-time dimensions, coupled to a specific scalar sector. The compactification geometry gives rise to
Aldo Deandrea, Fabio Dogliotti, Dimitrios Tsimpis   +2 more
doaj   +1 more source

Scattering theory for difference equations with operator coefficients

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher, Luis Silva, Boris Vertman, Monika Winklmeier   +3 more
wiley   +1 more source

Toroidal compactifications and Borel-Serre compactifications

Proceedings of the Japan Academy, Series A, Mathematical Sciences
We discuss connections of toroidal compactifications and Borel--Serre compactifications in view of the fundamental diagram of extended period domains. We give a complement to a work of Goresky--Tai.
Kato, Kazuya, Nakayama, Chikara, Usui, Sampei   +2 more
openaire   +3 more sources

On the Euler characteristic of S$S$‐arithmetic groups

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley   +1 more source

Generalized Hausdorff compactifications

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
This article investigates some properties of generalized Hausdorff compactifications of topological T_0-spaces. In particular, it is show that the totality of these compactifications forms a lattice of g-extensions in which there is the maximum element.
Laurențiu Calmuțchi
doaj   +1 more source

Ordered sets as uniformities

Topological Algebra and its Applications, 2018
In [7] a relation between completeness of certain uniformity on ordered sets and restrictions of homeomorphisms of compactifications is described. We shall add more details here and correct one proof.
Hušek Miroslav
doaj   +1 more source

Operator Semigroup Compactifications [PDF]

Transactions of the American Mathematical Society, 1996
A weakly continuous, equicontinuous representation of a semitopological semigroup S S on a locally convex topological vector space X X gives rise to a family of operator semigroup compactifications of S S , one for each invariant subspace of X X .
openaire   +2 more sources

Doubled conformal compactification [PDF]

Science China Physics, Mechanics & Astronomy, 2014
14 pages, 4 ...
Sun, Zhao Yong, Tian, Yu
openaire   +2 more sources

Osculating geometry and higher‐order distance Loci

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco, Kemal Rose, Luca Sodomaco   +2 more
wiley   +1 more source