This paper deals with semihyperbolic semigroups which are generated by entire (possibly transcendental) functions. In particular, a criterion is given assuring that a given entire semigroup is semihyperbolic. Note that a semihyperbolic semigroup G admit holomorphic scaling, that is to say, the branches of local inverses of functions f 2 G are of bounded degree and that the preimages shrink to z...

In this essay, I argue that Wittgenstein attempted to clarify ethics through a procedure that, by analogy with “transcendental arguments”, call thought experiment”. Specifically, after offering brief perspectival account of both transcendental arguments and experiments, focus on experiment proposed in his 1929 Lecture Ethics, arguing it deserves the title “transcendental”.

We present a method of Zariski-van Kampen type for the calculation of the transcendental lattice of a complex projective surface. As an application, we calculate the transcendental lattices of complex singular K3 surfaces associated with an arithmetic Zariski pair of maximizing sextics of type A10 + A9 that are defined over Q( √ 5) and are conjugate to each other by the action of Gal(Q( √ 5)/Q).

We investigate when differential polynomials in real transcendental meromorphic functions have non-real zeros. For example, we show that if g is a real transcendental meromorphic function, c ∈ R \ {0} and n ≥ 3 is an integer, then g′gn − c has infinitely many non-real zeros. If g has only finitely many poles, then this holds for n ≥ 2. Related results for rational functions g are also considered.

Let f and g be transcendental entire functions, each with a bounded set of singular values, and suppose that g ◦ φ = ψ ◦ f , where φ, ψ : C → C are affine. We show that the escaping sets of f and g have the same Hausdorff dimension. Using a result of the second author, we deduce that there exists a family of transcendental entire functions for which the escaping set has Hausdorff dimension equa...

We show that the iterative logarithm of each non-linear entire function is differentially transcendental over the ring of entire functions, and we give a sufficient criterion for such an iterative logarithm to be differentially transcendental over the ring of convergent power series. Our results apply, in particular, to the exponential generating function of a sequence arising from work of Shad...

We give a relation between the existence of a Zariski decomposition and the behavior of the restricted volume of a big divisor on a smooth (complex) projective variety. Moreover, we give an analytic description of the restricted volume in the line of Boucksom’s work. It enables us to define the restricted volume of a transcendental class on a compact Kähler manifold in natural way. The relation...

As previous research had demonstrated physiological and psychological changes in persons practicing the Transcendental Meditation (TM) technique that would be of great value for rehabilitating criminals, the value of the Transcendental Meditation program in a large prison setting was systematically examined. Volunteer inmates at Stillwater Prison desiring to begin Transcendental Meditation were...

The purpose of this study was to test the longand short-term effects of the Transcendental Meditation technique on spontaneous skin resistance responses and habituation of evoked skin resistance responses. Measurements of spontaneous skin resistance responses and evoked skin resistance response habituation were taken on 24 experimental subjects just before and again one week after they were ins...