Results 51 to 60 of about 83,900 (102)
Invariant distributions and the transport twistor space of closed surfaces
Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.Abstract We study transport equations on the unit tangent bundle of a closed oriented Riemannian surface and their links to the transport twistor space of the surface (a complex surface naturally tailored to the geodesic vector field). We show that fibrewise holomorphic distributions invariant under the geodesic flow — which play an important role in ...
Jan Bohr +2 more
wiley +1 more source
Conservation laws and variational structure of damped nonlinear wave equations
Mathematical Methods in the Applied Sciences, Volume 47, Issue 6, Page 3974-3996, April 2024.All low‐order conservation laws are found for a general class of nonlinear wave equations in one dimension with linear damping which is allowed to be time‐dependent. Such equations arise in numerous physical applications and have attracted much attention in analysis.
Stephen C. Anco +3 more
wiley +1 more source
A characterization of heaviness in terms of relative symplectic cohomology
Journal of Topology, Volume 17, Issue 1, March 2024.Abstract For a compact subset K$K$ of a closed symplectic manifold (M,ω)$(M, \omega)$, we prove that K$K$ is heavy if and only if its relative symplectic cohomology over the Novikov field is nonzero. As an application, we show that if two compact sets are not heavy and Poisson commuting, then their union is also not heavy.
Cheuk Yu Mak, Yuhan Sun, Umut Varolgunes
wiley +1 more source
Constrained deformations of positive scalar curvature metrics, II
Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 795-862, January 2024.Abstract We prove that various spaces of constrained positive scalar curvature metrics on compact three‐manifolds with boundary, when not empty, are contractible. The constraints we mostly focus on are given in terms of local conditions on the mean curvature of the boundary, and our treatment includes both the mean‐convex and the minimal case.
Alessandro Carlotto, Chao Li
wiley +1 more source
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We tackle the problem of constructing R$R$‐matrices for the category O$\mathcal {O}$ associated to the Borel subalgebra of an arbitrary untwisted quantum loop algebra Uq(g)$U_q({\mathfrak {g}})$. For this, we define an invertible exact functor Fq$\mathcal {F}_q$ from the category O$\mathcal {O}$ linked to Uq−1(g)$U_{q^{-1}}({\mathfrak {g ...
Théo Pinet
wiley +1 more source
Szubstrukturális logikák algebrai és bizonyításelméleti vizsgálata = Algebraic and Proof Theoretic Investigations of Substructural Logics [PDF]
, 2013 A kutatás fő eredményei: - Az ""Equality"" algebrák bevezetése (Studia Logica). - A ""strongly involutive uninorm"" algebrák bevezetése és osztályozása, valamint a vonatkozó logika komplexitásának vizsgálata (J Logic and Computation).
Jenei, Sándor
core
A temporal semantics for Nilpotent Minimum logic
, 2013 In [Ban97] a connection among rough sets (in particular, pre-rough algebras) and three-valued {\L}ukasiewicz logic {\L}3 is pointed out. In this paper we present a temporal like semantics for Nilpotent Minimum logic NM ([Fod95, EG01]), in which the logic
Bianchi, Matteo
core +1 more source
New constructions of decision evaluation functions in three-way decision spaces based on uninorms. [PDF]
Artif Intell Rev, 2023 Jia Z, Qiao J.
europepmc +1 more source
, 2018 For some monoids, we give a method of composing invertibility preserving maps associated to "partial involutions." Also, we define the notion of "determinants for finite dimensional algebras over a field." As examples, we give invertibility preserving ...
Yamaguchi, Naoya, Yamaguchi, Yuka
core
Restricted dissimilarity functions and penalty functions
, 2011 In this work we introduce the definition of restricted dissimilarity functions and we link it with some other notions, such as metrics.
Beliakov, G. +4 more
core +1 more source