Genetics, Epigenetics, and Talent

Author(s):  
Jay Schulkin

Looks at genes and their expression in athletic capability. There is no athletic gene; there is a general confluence of specific and general capabilities that converge on athletic expression. Such events reflect experience, culture and epigenetic expression; the absolute continuity of biology and culture; both a reflection of one another.

1986 ◽  
Vol 108 (5) ◽  
pp. 1119 ◽  
Author(s):  
Bjorn E. J. Dahlberg

1998 ◽  
Vol 88 (1) ◽  
pp. 13-21
Author(s):  
Yu. A. Davydov ◽  
Sun Xian-Go

2022 ◽  
Vol 32 (3) ◽  
Author(s):  
Mingming Cao ◽  
José María Martell ◽  
Andrea Olivo

AbstractIn nice environments, such as Lipschitz or chord-arc domains, it is well-known that the solvability of the Dirichlet problem for an elliptic operator in $$L^p$$ L p , for some finite p, is equivalent to the fact that the associated elliptic measure belongs to the Muckenhoupt class $$A_\infty $$ A ∞ . In turn, any of these conditions occurs if and only if the gradient of every bounded null solution satisfies a Carleson measure estimate. This has been recently extended to much rougher settings such as those of 1-sided chord-arc domains, that is, sets which are quantitatively open and connected with a boundary which is Ahlfors–David regular. In this paper, we work in the same environment and consider a qualitative analog of the latter equivalence showing that one can characterize the absolute continuity of the surface measure with respect to the elliptic measure in terms of the finiteness almost everywhere of the truncated conical square function for any bounded null solution. As a consequence of our main result particularized to the Laplace operator and some previous results, we show that the boundary of the domain is rectifiable if and only if the truncated conical square function is finite almost everywhere for any bounded harmonic function. In addition, we obtain that for two given elliptic operators $$L_1$$ L 1 and $$L_2$$ L 2 , the absolute continuity of the surface measure with respect to the elliptic measure of $$L_1$$ L 1 is equivalent to the same property for $$L_2$$ L 2 provided the disagreement of the coefficients satisfy some quadratic estimate in truncated cones for almost everywhere vertex. Finally, for the case on which $$L_2$$ L 2 is either the transpose of $$L_1$$ L 1 or its symmetric part we show the equivalence of the corresponding absolute continuity upon assuming that the antisymmetric part of the coefficients has some controlled oscillation in truncated cones for almost every vertex.


2014 ◽  
Vol 50 (1) ◽  
pp. 181-190
Author(s):  
Paola Cavaliere ◽  
Paolo de Lucia ◽  
Anna De Simone

2017 ◽  
Vol 22 (2(30)) ◽  
pp. 17-27
Author(s):  
Т. А. Комлева ◽  
Л. И. Плотникова ◽  
А. В. Плотников

Sign in / Sign up

Export Citation Format

Share Document