SUMMARY: Parry Romberg syndrome is a rare progressive hemiatrophy of the face that typically occurs in children and young adults and has a peculiar progression that ceases without apparent cause after a highly variable period. Only a subset of patients with Parry Romberg syndrome will develop secondary neurologic or ophthalmologic symptoms, and prognosis is highly variable. Inconsistency in the...

(1.1a) {akb`.x : k, ` ≥ 0} = R/Z. Furstenberg raised the question of what are the ta, tb invariant measures on R/Z, conjecturing that the only nonatomic such measure is the Lebesgue measure λ. A theorem of Rudolph for a, b relatively prime [9], generalized by Johnson to the case of a, b multiplicatively independent [7], asserts that a probability measure on the circle R/Z that is invariant and ...

BACKGROUND Parry-Romberg syndrome (PRS) is a rare disorder characterized by unilateral facial atrophy affecting the skin, subcutaneous tissue, muscles, and sometimes extending to the osteocartilaginous structures. Ocular involvement is relatively rare. CASE PRESENTATION We present a case of a 23-year-old female caucasian patient with Parry Romberg syndrome and extensive ocular involvement: en...

Parry Romberg's syndrome is an uncommon disorder characterized by atrophy of skin and subcutaneous tissue of one side of face. It has neurologic sequel. The commonest of which is epilepsy. Here, we present a 17-year old girl with features of Parry Romberg's disease with intractable epilepsy. Her seizures have stopped with systemic corticosteroids. This treatment response, together with previous...

Thompson’s groups have been extensively studied since their introduction by Thompson in the 1960s, despite the fact that Thompson’s account [7] appeared only in 1980. They have provided examples of infinite finitely presented simple groups, as well as some other interesting counterexamples in group theory (see for example, Brown and Geoghegan [3]). Cannon, Floyd and Parry [4] give an excellent ...