We solve the twisted conjugacy problem on Thompson’s group F . We also exhibit orbit undecidable subgroups of Aut(F ), and give a proof that Aut(F ) and Aut+(F ) are orbit decidable provided a certain conjecture on Thompson’s group T is true. By using general criteria introduced by Bogopolski, Martino and Ventura in [5], we construct a family of free extensions of F where the conjugacy problem ...

We show that the class of finite-dimensional Banach spaces and the class of finite-dimensional Choquet simplices have the Ramsey property. As an application, we show that the group Aut(G) of surjective linear isometries of the Gurarij space G is extremely amenable, and that the canonical action Aut(P) y P is the universal minimal flow of the group Aut(P) of affine homeomorphisms of the Poulsen ...

gas hydrates are a costly problem when they plug oil and gas pipelines. the best way to determine the hft and pressure is to measure these conditions experimentally for every gas system. since this is not practical in terms of time and money, correlations are the other alternative tools. there are a small number of correlations for specific gravity method to predict the hydrate formation. as th...

We investigate characterizations of the Galois connection sInv–Aut between sets of finitary relations on a base set A and their automorphisms. In particular, for A = ω1, we construct a set R of relations that is closed under all invariant operations on relations and under arbitrary intersections, but is not closed under sInv Aut.

In this work, the omega-amine alkanethiols, cysteamine (CA) and 11-amino-1-undecanethiol (11-AUT), were chemisorbed as self-assembled monolayers (SAMs) onto 250-microm gold microelectrodes that were microlithographically fabricated within eight-well cell culture plates and investigated as a means to improve neuron-to-electrode surface attachment (NESA). Dynamic contact angle (DCA) measurements ...

UNLABELLED Gastrointestinal disturbances are commonly reported in children with autism and may be associated with compositional changes in intestinal bacteria. In a previous report, we surveyed intestinal microbiota in ileal and cecal biopsy samples from children with autism and gastrointestinal dysfunction (AUT-GI) and children with only gastrointestinal dysfunction (Control-GI). Our results d...

1.1. Let G be a noncompact connected real semi-simple Lie group with trivial center and with no nontrivial compact connected normal subgroups, and g be its Lie algebra. The group Aut(G) (=Aut(g)) of automorphisms of G is a Lie group with finitely many connected components, and G is its identity component. We will denote the identity component of Aut(G) in the Zariski-topology by Int(G). Let X b...

Let G be a graph, u be a vertex of G, and B(u)(or BG(u)) be the set of u with all its neighbors in G. A sequence (B1, B2, ..., Bn) of subsets of an n-set S is a neighborhood sequence if there exists a graph G with a vertex set S and a permutation (v1, v2, ..., vn) of S such that B(vi) = Bi for i = 1, 2, ..., n. Define Aut(B1, B2, ..., Bn) as the set {f : f is a permutation of V (G) and (f(B1), ...

We prove that there exists a positive integer Cn depending only on n such that for every smooth projective n-fold of general type X defined over C, the automorphism group Aut(X) of X satisfies ♯Aut(X) ≤ Cn · μ(X,KX ), where μ(X,KX ) is the volume ofX with respect toKX . MSC14E05,32J25.