Dielectric relaxation model of human blood as a superposition of Debye functions with relaxation times following a Modified-Weibull distribution. [PDF]
Sodhi CS, Ozelim LCSM, Rathie PN.
europepmc +1 more source
The fractional Lipschitz caloric capacity of Cantor sets
Abstract We characterize the s$s$‐parabolic Lipschitz caloric capacity of corner‐like s$s$‐parabolic Cantor sets in Rn+1$\mathbb {R}^{n+1}$ for 1/2
Joan Hernández
wiley +1 more source
A Law of Large Numbers for Local Patterns in Schur Measures and a Schur Process. [PDF]
Lazag P.
europepmc +1 more source
Analytical Calculations of Scattering Amplitude of Surface Plasmon Polaritons Excited by a Spherical Nanoantenna. [PDF]
Dyshlyuk AV +3 more
europepmc +1 more source
Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso +1 more
wiley +1 more source
Prethermalization for Deformed Wigner Matrices. [PDF]
Erdős L, Henheik J, Reker J, Riabov V.
europepmc +1 more source
Discrete analogues of second‐order Riesz transforms
Abstract Discrete analogues of classical operators in harmonic analysis have been widely studied, revealing deep connections with areas such as ergodic theory and analytic number theory. This line of research is commonly known as Discrete Analogues in Harmonic Analysis (DAHA).
Rodrigo Bañuelos, Daesung Kim
wiley +1 more source
On the Weierstraß form of infinite-dimensional differential algebraic equations. [PDF]
Erbay M, Jacob B, Morris K.
europepmc +1 more source
Evaluating Winding Numbers and Counting Complex Roots Through Cauchy Indices in Isabelle/HOL. [PDF]
Li W, Paulson LC.
europepmc +1 more source
Diophantine tuples and product sets in shifted powers
Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
wiley +1 more source

