Results 61 to 70 of about 552 (182)
Dimer models and conformal structures
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
ABSTRACT Technological advancements in wearable devices and medical imaging often lead to high‐dimensional physiological signals in the form of images or surfaces. To address these data structures, we develop a novel survival on image regression model with a specific focus on partially functional distributional representation of wearable data.
Rahul Ghosal +2 more
wiley +1 more source
Crack Propagation in the Human Bone. Mode I of Fracture
The problem of crack propagation in human bone is studied. We for- mulate and solve the mathematical problem for the pre-stressed crack in Mode I of classical fracture.
Craciun E. M. +3 more
doaj +1 more source
Dissipative energy functionals of passive linear time‐varying systems
Abstract The concept of dissipativity plays a crucial role in the analysis of control systems. Dissipative energy functionals, also known as Hamiltonians, storage functions, or Lyapunov functions, depending on the setting, are extremely valuable to analyze and control the behavior of dynamical systems, but in general circumstances they are very ...
Riccardo Morandin, Dorothea Hinsen
wiley +1 more source
Riemann Hilbert problem for bi-orthogonal polynomials [PDF]
Two sequences of polynomials which are orthogonal to each other with respect to a two-dimensional measure are called bi-orthogonal polynomials \[ \int_R \int_R P_n(\lambda)Q_m(\xi) \,d\mu(\lambda,\xi) =\delta_{mn}. \] If the measure is given by \(d\mu(\lambda,\xi) =\exp(-V(\lambda)-W(\xi)+\lambda\xi)\,d\lambda \,d\xi\), then \(V(\lambda),W(\xi)\) are ...
openaire +1 more source
We study the Cauchy problem for the integrable nonlocal nonlinear Schr\"odinger (NNLS) equation \[ iq_{t}(x,t)+q_{xx}(x,t)+2 q^{2}(x,t)\bar{q}(-x,t)=0 \] with a step-like initial data: $q(x,0)=o(1)$ as $x\to-\infty$ and $q(x,0)=A+o(1)$ as $x\to\infty ...
Ya. Rybalko, D. G. Shepelsky
doaj
SOLVABILITY HOMOGENEOUS RIEMANN-HILBERT BOUNDARY VALUE PROBLEM WITH SEVERAL POINTS OF TURBULENCE
We consider the so called Hilbert boundary value problem with infinite index in the unit disk. Its coefficient is assumed to be H¨older-continuous everywhere on the unit circle excluding a finite set of points.
Fatykhov A . Kh ., Shabalin P . L .
doaj +1 more source
Universality for fluctuations of counting statistics of random normal matrices
Abstract We consider the fluctuations of the number of eigenvalues of n×n$n\times n$ random normal matrices depending on a potential Q$Q$ in a given set A$A$. The eigenvalues of random normal matrices are known to form a determinantal point process, and are known to accumulate on a compact set called the droplet under mild conditions on Q$Q$. When A$A$
Jordi Marzo +2 more
wiley +1 more source
The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley +1 more source
Building multi-BTZ black holes through Riemann-Hilbert problem
We construct a recently found class of non-BPS black hole solutions with asymptotically AdS 3 × S 3 × T 4 in type IIB supergravity, consisting of multiple BTZ black holes localized on an S 3, within the group theoretical framework of Breitenlohner and ...
Jun-ichi Sakamoto, Shinya Tomizawa
doaj +1 more source

