Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$
Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley +1 more source
Stability of Partially Congested Travelling Wave Solutions for the Dissipative Aw-Rascle System. [PDF]
Deléage É, Mehmood MA.
europepmc +1 more source
Hamilton Equations, Commutator, and Energy Conservation [PDF]
Weng Cho Chew +4 more
openalex +1 more source
Abelian Livšic theorems for Anosov flows
Abstract We give two short proofs of the abelian Livšic theorem of Gogolev and Rodriguez Hertz. We show that these proofs may be extended to give new abelian Livšic theorems for positive density sets of null‐homologous orbits and for amenable covers.
Richard Sharp
wiley +1 more source
Infidelity Analysis of Digital Counter-Diabatic Driving in Simple Two-Qubit System. [PDF]
Lei O.
europepmc +1 more source
On Fico's Lemmata and the homotopy type of certain gyrations
Abstract We undertake to determine the homotopy type of gyrations of sphere products and of connected sums, thereby generalising results known in earlier literature as ‘Fico's Lemmata’ which underpin gyrations in their original formulation from geometric topology.
Sebastian Chenery
wiley +1 more source
A device for simultaneous neural recording and drug infusion in rodents. [PDF]
Barbera G, Beacher NJ, Lin DT.
europepmc +1 more source
Explicit Calculation of Structural Commutation Relations for Stochastic and Dynamical Graph Grammar Rule Operators in Biological Morphodynamics. [PDF]
Mjolsness E.
europepmc +1 more source
Modeling (∞,1)$(\infty,1)$‐categories with Segal spaces
Abstract In this paper, we construct a model structure for (∞,1)$(\infty,1)$‐categories on the category of simplicial spaces, whose fibrant objects are the Segal spaces. In particular, we show that it is Quillen equivalent to the models of (∞,1)$(\infty,1)$‐categories given by complete Segal spaces and Segal categories.
Lyne Moser, Joost Nuiten
wiley +1 more source
Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation. [PDF]
Hussain A +4 more
europepmc +1 more source

