Extension of a new method for locating critical temperatures

We investigate recently proposed method for locating critical temperatures and introduce some modifications which allow to formulate exact criterion for any self-dual model. We apply the modified method for the Ashkin-Teller model and show that the exact result for a critical temperature is reproduced. We test also a two-layer Ising model for the presence of eventual self-duality.Comment: 3 pages, Latex, espcrc2.sty, Talk given at Lattice'9

Destruction/Reconstruction of the Artist/Art Object What is Possible?

Chen I-Chun, Phoebe Boswell and Inci Eviner live in different parts of the world: Taiwan is Chen I-Chun’s home, Inci Eviner lives in Turkey and Phoebe Boswell, who now lives in London, has lived in Kenya and Dubai. The artists are not friends and only two of them speak English, however, their artwork shares a common interest around the self, people, community, art practice and the art object. Sometimes the artworks focus on mythological constructions, which are reconfigured in the case of Chen I-Chun’s animated drawings, while Eviner’s animated drawing entitled Beuys Underground (2017), looks at the destruction of the artist in society. This idea of having a purpose or position is reinforced in Boswell’s artwork Mutumia (2015), which translate as ‘one whose lips are sealed’. In this artwork, the voices of the women are heard at different times in the animated drawing. What is presented in all of these artists’ work is the staging of destruction and reconstruction of the artist and the art object. There are moments of ambivalence that contribute to destruction and reconstruction. The staging is equally about the known and unknown. This is also reflected in the use of technology as a form of art practice. All these artists have embraced technology as a form of cultural brokerage and technology itself has a way of destroying or preserving its own innovation. Considering all these points, how can destruction after the primary burst of creation, be replenished with creativity

Orbit based procedure for doublets of scalar fields and the emergence of triple kinks and other defects

In this work we offer an approach to enlarge the number of exactly solvable models with two real scalar fields in (1+1)D. We build some new two-field models, and obtain their exact orbits and exact or numerical field configurations. It is noteworthy that a model presenting triple-kinks and double-flat-top lumps is among those new models

Derived Subgroups of Fixed Points in Profinite Groups

The main result of this paper is the following theorem. Let q be a prime, A an elementary abelian group of order q^3. Suppose that A acts as a coprime group of automorphisms on a profinite group G in such a manner that C_G(a)' is periodic for each nontrivial element a in A. Then G' is locally finite.Comment: To appear in Glasgow Mathematical Journal (2011). 11 page