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Related papers: QuasinormalModes.jl: A Julia package for computing…

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QPot is an R package for analyzing two-dimensional systems of stochastic differential equations. It provides users with a wide range of tools to simulate, analyze, and visualize the dynamics of these systems. One of QPot's key features is…

Quantitative Methods · Quantitative Biology 2015-10-28 Christopher M. Moore , Christopher R. Stieha , Ben C. Nolting , Maria K. Cameron , Karen C. Abbott

We investigate second order quasilinear equations of the form f_{ij} u_{x_ix_j}=0 where u is a function of n independent variables x_1, ..., x_n, and the coefficients f_{ij} are functions of the first order derivatives p^1=u_{x_1}, >...,…

Exactly Solvable and Integrable Systems · Physics 2009-02-01 P. A. Burovskiy , E. V. Ferapontov , S. P. Tsarev

We investigate the axial electromagnetic quasinormal modes of a static, asymptotically Anti--de Sitter (AdS) black hole sourced by a nonlinear electrodynamics model of Pleba\'{n}ski type. Starting from the master equation governing axial…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Mohsen Fathi , Ariel Guzmán , J. R. Villanueva

Probabilistic programming and statistical computing are vibrant areas in the development of the Julia programming language, but the underlying infrastructure dramatically predates recent developments. The goal of MeasureTheory.jl is to…

Computation · Statistics 2022-07-05 Chad Scherrer , Moritz Schauer

According to recent theoretical developments, it might be possible to produce mini black holes in the high energy experiments in the LHC at CERN. We propose here a model based on the $n$-dimensional Vaidya metric in double null coordinates…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Elcio Abdalla , Cecilia B. M. H. Chirenti , Alberto Saa

In this paper, we study self-normalized moderate deviations for degenerate { $U$}-statistics of order $2$. Let $\{X_i, i \geq 1\}$ be i.i.d. random variables and consider symmetric and degenerate kernel functions in the form…

Probability · Mathematics 2025-01-08 Lin Ge , Hailin Sang , Qi-Man Shao

In this work, we study the quasinormal modes of Schwarzschild and Schwarzschild (Anti-) de Sitter black holes by a matrix method. The proposed method involves discretizing the master field equation and expressing it in form of a homogeneous…

General Relativity and Quantum Cosmology · Physics 2017-04-04 Kai Lin , Wei-Liang Qian

We discuss the analytic calculation of quasi-normal modes of various types of perturbations of black holes both in asymptotically flat and anti-de Sitter spaces. We obtain asymptotic expressions and also show how corrections can be…

High Energy Physics - Theory · Physics 2010-05-28 George Siopsis

In this paper we construct the main algebraic and differential properties and the weight functions of orthogonal polynomial solutions of bivariate second--order linear partial differential equations, which are admissible potentially…

Analysis of PDEs · Mathematics 2011-01-14 I. Area , E. Godoy , A. Ronveaux , A. Zarzo

A Java software framework allows modules written in different languages to be used in a high level Object-Oriented (OO) environment. Java Native Interfaces (JNI) for Linear Collider (LC) physics event generators are used in defining a…

Computational Physics · Physics 2007-05-23 Michael T. Ronan

We revisit the computation of quasinormal modes (QNMs) of the Kerr black hole using a numerical approach exploiting a representation of the Teukolsky equation as a $2D$ elliptic partial differential equation. By combining the hyperboloidal…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Jamil Assaad , Rodrigo Panosso Macedo

We present a comprehensive study of the quasinormal modes of a new class of nonlocal static and spherically symmetric black hole (BH) solutions within the framework of the revised Deser-Woodard theory of gravity. These solutions are…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Rocco D'Agostino , Vittorio De Falco

We study black-hole quasinormal modes by applying the complex scaling method (CSM) to the perturbation equations of Schwarzschild and Reissner--Nordstr\"om black holes. The method converts the outgoing-wave boundary condition into a…

High Energy Physics - Theory · Physics 2026-04-28 Shoya Ogawa , Takuya Hirose , Okuto Morikawa

Inverse problem or parameter estimation of ordinary differential equations (ODEs), the iterative process of minimizing the mismatch between model-predicted and experimental states by tuning the parameter values within an optimization…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Siddharth Prabhu , Srinivas Rangarajan , Mayuresh Kothare

The quasinormal modes of relativistic compact objects encode important information about the gravitational response associated with astrophysical phenomena. Detecting such oscillations would provide us with a unique understanding of the…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Caio F. B. Macedo , Vitor Cardoso , Luís C. B. Crispino , Paolo Pani

We derive sharp estimates on the modulus of continuity for solutions of a large class of quasilinear isotropic parabolic equations on smooth metric measure spaces (with Dirichlet or Neumann boundary condition in case the boundary is…

Differential Geometry · Mathematics 2020-09-23 Xiaolong Li , Yucheng Tu , Kui Wang

In this work, we investigate the quasinormal modes for a massive scalar field with a nonminimal coupling with gravity in the spacetime of a loop quantum black hole, known as the Self-Dual Black Hole. In this way, we have calculated the…

High Energy Physics - Theory · Physics 2021-12-22 J. S. Santos , M. B. Cruz , F. A. Brito

The consideration of stochastic uncertainty in optimal and predictive control is a well-explored topic. Recently Polynomial Chaos Expansions (PCE) have received considerable attention for problems involving stochastically uncertain system…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Ruchuan Ou , Learta Januzi , Jonas Schießl , Michael Heinrich Baumann , Lars Grüne , Timm Faulwasser

The aim of this paper is to show the use of the coupled quasisolutions method as a useful technique when treating with ordinary differential equations with functional arguments of bounded variation. We will do this by looking for solutions…

Classical Analysis and ODEs · Mathematics 2016-11-26 Rubén Figueroa

Analyzing the stability of quasinormal modes (QNM) is essential for understanding black hole dynamics, particularly in the context of gravitational wave emissions and black hole spectroscopy. In this study, we employ the hyperboloidal…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Lucas Tobias de Paula , Pedro Henrique Croti Siqueira , Rodrigo Panosso Macedo , Maurício Richartz