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A Note on Knot Floer Homology and Fixed Points of Monodromy: 《Peking Mathematical Journal》2023年第2期635-643,共9页Yi Ni; The author was partially supported by NSF Grant Number DMS-1811900.; Using an argument of Baldwin-Hu-Sivek,we prove that if K is a hyperbolic fibered knot with fiber F in a closed,oriented 3-manifold Y,andHFK(Y,K,[F],g(F)−1)has rank 1,then the monodromy of K is freely isotopic to a pse...; 关键词：Knot Floer homology Fibered knot Fixed points L-space knot

Singularities of regular black holes and the monodromy method for asymptotic quasinormal modes: 《Chinese Physics C》2023年第2期231-251,共21页兰晨王一帆; support from the National Natural Science Foundation of China (12175108)。; We use the monodromy method to investigate the asymptotic quasinormal modes of regular black holes based on the explicit Stokes portraits.We find that,for regular black holes with spherical symmetry and a single shape...; 关键词：regular black holes asymptotic quasinormal modes monodromy method

Calculating the Fundamental Group of Galois Cover of the(2, 3)-embedding of CP^1× T: 《Acta Mathematica Sinica,English Series》2020年第3期273-291,共19页Meirav AMRAM Sheng Li TAN Wan Yuan XU Michael YOSHPE; Supported by the ISF-NSFC joint research program(Grant No.2452/17);NSF of China,MST of China(Grant No.2018AAA0101001);STC of Shanghai(Grant No.18dz2271000)。; As known to all,it is quite difficult to compute the fundamental group of a surface of general type.In this paper,applying Moishezon-Teicher’s algorithm,we investigate the fundamental group of a special surface of ge...; 关键词：Fundamental groups GALOIS COVER BRAID MONODROMY FACTORIZATION

Finite Dimensional Approximation of the Monodromy Operator of a Periodic Delay Differential Equation with Piecewise Constant Orthonormal Functions: 《Applied Mathematics》2018年第11期1315-1337,共23页Eli A. Vazquez Joaquin Collado; Using piecewise constant orthonormal functions, an approximation of the monodromy operator of a Linear Periodic Delay Differential Equation (PDDE) is obtained by approximating the integral equation corresponding to th...; 关键词：MONODROMY Operator PERIODIC Delay Differential Equations WALSH FUNCTIONS Block Pulse FUNCTIONS Finite Rank Approximation

Arnold Tongues for Discrete Hill’s Equation: 《Applied Mathematics》2017年第12期1859-1882,共24页José Guillermo Rodríguez Servín M. Joaquin Collado; In this work we study two types of Discrete Hill’s equation. The first comes from the discretization process of a Continuous-time Hill’s equation, we called Discretized Hill’s equation. The Second is a naturally ob...; 关键词：ARNOLD Tongues DISCRETE Hill’s EQUATION MONODROMY MATRIX Discretized HAMILTONIAN

Evaluating accuracy of Hessian-based predictor-corrector integrators: 《Journal of Central South University》2017年第7期1696-1702,共7页LU Shao-fei WU Heng LIU Xu-chong; Project(2016JJ2029)supported by Hunan Provincial Natural Science Foundation of China;Project(2016WLZC014)supported by the Open Research Fund of Hunan Provincial Key Laboratory of Network Investigational Technology;Project(2015HNWLFZ059)supported by the Open Research Fund of Key Laboratory of Network Crime Investigation of Hunan Provincial Colleges,China; Direct dynamics simulations are a useful and general approach for studying the atomistic properties of complex chemical systems because they do not require fitting an analytic potential energy function.Hessian-based p...; 关键词：MONODROMY matrix eigenvalue Hessian-based PREDICTOR-CORRECTOR velocity Verlet

Non-unitary Scattering Theory against Generalized Unitary Scattering Theory: 《Computer Technology and Application》2016年第6期287-299,共13页Jacek A. Jakiel Wiestaw A. Kantor; Comparison of non-unitary and generalized unitary scattering theories is done by means of nuclear monodromy （equivalence of Schrodinger and Maxwell time-independent equations）, tunneling and radioactivity. Radioacti...; 关键词：Nuclear monodromy RADIOACTIVITY scattering theory UNITARITY TUNNELING boundary condition.

Local Phase Portraits through the Newton Diagram of a Vector Field: 《Acta Mathematica Sinica,English Series》2015年第6期1015-1034,共20页Antonio ALGABA Isabel CHECA Cristóbal GARCIA Manuel REYES; Supported by Ministerio de Ciencia y Tecnología,Plan Nacional I+D+I co-financed with FEDER funds,in the frame of the pro jects MTM2010-20907-C02-02;by Consejería de Educación y Ciencia de la Junta de Andalucía(Grant Nos.FQM-276 and P08-FQM-03770); The Newton diagram and, in particular, the lowest-degree quasi-homogeneous terms of an analytic planar vector field allow us to determine the existence of characteristic orbits and separatrices of an isolated singular...; 关键词：MONODROMY separatrices phase portraits quasi-homogeneous vector field

Asymptotic quasinormal modes of scalar field in a gravity's rainbow: 《Chinese Physics B》2009年第10期4161-4168,共8页刘成周朱建阳; Project supported by the National Natural Science Foundation of China (Grant No 10875012);the Natural Science Foundation of Shandong Province of China (Grant No Y2008A33);the Research Projects of Education Bureau of Shandong Province of China(Grant No J08L151);the Doctoral Foundation of Binzhou University, China (Grant No 2007Y02); In the framework of the gravity＇s rainbow, the asymptotic quasinormal modes of the modified Schwarzschild black holes undergoing a scalar perturbation are investigated. By using the monodromy method, we analytically ...; 关键词：gravity＇s rainbow quasinormal modes monodromy method quantum effect

Irreducibility of The Igusa Tower: 《Acta Mathematica Sinica,English Series》2009年第1期1-20,共20页Haruzo HIDA; supported by the NSF grants:DMS 0244401,DMS 0456252;DMS 0753991; We shall give a simple （basically） the Igusa tower over Shimura varieties of PEL purely in characteristic p proof of the irreducibility of type. Our result covers Shimura variety of type A and type C classical group...; 关键词：Shimura variety Igusa tower p-adic monodromy

MONODROMY