Results 141 to 150 of about 827 (202)
Scattering theory for difference equations with operator coefficients
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher +3 more
wiley +1 more source
Abstract Number theory for positive characteristic contains analogues of the special values that were introduced by Carlitz; these include the Carlitz gamma values and Carlitz zeta values. These values were further developed to the arithmetic gamma values and multiple zeta values by Goss and Thakur, respectively.
Ryotaro Harada, Daichi Matsuzuki
wiley +1 more source
Boltzmann equation and hydrodynamics beyond Navier-Stokes. [PDF]
Bobylev AV.
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
On Hardy-Pachpatte-Copson's inequalities. [PDF]
Zhao CJ, Cheung WS.
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
Blessing of dimensionality: mathematical foundations of the statistical physics of data. [PDF]
Gorban AN, Tyukin IY.
europepmc +1 more source
The motive of the Hilbert scheme of points in all dimensions
Abstract We prove a closed formula for the generating series Zd(t)$\mathsf {Z}_d(t)$ of the motives [Hilbd(An)0]$[\operatorname{Hilb}^d({\mathbb {A}}^n)_0]$ in K0(VarC)$K_0(\operatorname{Var}_{{\mathbb {C}}})$ of punctual Hilbert schemes, summing over n$n$, for fixed d>0$d>0$.
Michele Graffeo +3 more
wiley +1 more source
Fuzzy Logic for Incidence Geometry. [PDF]
Tserkovny A.
europepmc +1 more source
Bifurcation set and limit cycles forming compound eyes in a perturbed hamiltonian system [PDF]
Li, Jibin, Liu, Zhenrong
core +2 more sources

