Results 41 to 50 of about 127 (112)
A generalized formula of Hardy
We give new formulae applicable to the theory of partitions. Recent work suggests they also relate to quasi‐crystal structure and self‐similarity. Other recent work has given continued fractions for the type of functions herein. Hardy originally gave such formulae as ours in early work on gap power series which led to his and Littlewood′s High Indices ...
Geoffrey B. Campbell
wiley +1 more source
The "hot spots" conjecture on the Vicsek set
We prove the “hot spots” conjecture on the Vicsek set. Specifically, we will show that every eigenfunction of the second smallest eigenvalue of the Neumann Laplacian on the Vicsek set attains its maximum and minimum on the boundary.
Ionescu Marius, Savage Thomas L.
doaj +1 more source
Abstract We compared referrals and connection to care between perinatal patients: 90 receiving OB/GYN care in clinics with integrated behavioral health consultants with infant mental health specialization (IMH‐BHC), and 68 receiving traditional care, in the United States.
Jennifer M. Jester +8 more
wiley +1 more source
Assouad dimension of planar self-affine sets [PDF]
We calculate the Assouad dimension of a planar self-affine set X satisfying the strong separation condition and the projection condition and show that X is minimal for the conformal Assouad dimension.
Rossi, Eino +2 more
core +1 more source
The concept of generalized convex contraction was introduced and studied by V. Istrăţescu and the notion of b-metric space was introduced by I. A. Bakhtin and S. Czerwik.
Georgescu Flavian
doaj +1 more source
Eikonal equations on the Sierpinski gasket [PDF]
We study the eikonal equation on the Sierpinski gasket in the spirit of the construction of the Laplacian in Kigami [8]: we consider graph eikonal equations on the prefractals and we show that the solutions of these problems converge to a function ...
Capitanelli, Raffaela +5 more
core +1 more source
On bivariate Archimedean copulas with fractal support
Due to their simple analytic form (bivariate) Archimedean copulas are usually viewed as very smooth and handy objects, which should distribute mass in a fairly regular and certainly not in a pathological way. Building upon recently established results on
Sánchez Juan Fernández +1 more
doaj +1 more source
Products of Snowflaked Euclidean Lines Are Not Minimal for Looking Down
We show that products of snowflaked Euclidean lines are not minimal for looking down. This question was raised in Fractured fractals and broken dreams, Problem 11.17, by David and Semmes.
Joseph Matthieu, Rajala Tapio
doaj +1 more source
Regularity results for p-Laplacians in pre-fractal domains
We study obstacle problems involving p-Laplace-type operators in non-convex polygons. We establish regularity results in terms of weighted Sobolev spaces. As applications, we obtain estimates for the FEM approximation for obstacle problems in pre-fractal
Capitanelli Raffaela +2 more
doaj +1 more source
Dimension theory of linear solenoid
We develop the dimension theory for a class of lineare solenoids, which have a ”fractal ” attractor. We will find the dimension of the attractor, proof formulas for the dimension of ergodic measures on this attractor and discuss the question whether ...
J. Neunhäuserer
core

