Junyang Gao

ORCID: 0000-0002-7177-4965
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About
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Research Areas
  • Mathematical Dynamics and Fractals
  • Theoretical and Computational Physics
  • Meromorphic and Entire Functions
  • Chaos control and synchronization
  • Analytic and geometric function theory
  • Stochastic processes and statistical mechanics
  • Quantum chaos and dynamical systems
  • Advanced Numerical Analysis Techniques
  • Algebraic and Geometric Analysis
  • Geometric and Algebraic Topology
  • Topological and Geometric Data Analysis
  • Advanced Topology and Set Theory
  • Urban Transport and Accessibility
  • Mathematics and Applications
  • Semiconductor Quantum Structures and Devices
  • Iterative Methods for Nonlinear Equations
  • Advanced Combinatorial Mathematics
  • Holomorphic and Operator Theory
  • Fuzzy Logic and Control Systems
  • Electrochemical Analysis and Applications
  • Chemical and Physical Properties in Aqueous Solutions
  • Polynomial and algebraic computation
  • Ionic liquids properties and applications
  • Electrochemical sensors and biosensors
  • Functional Equations Stability Results

First Affiliated Hospital of Zhengzhou University
2025

China University of Mining and Technology
2011-2023

Huazhong University of Science and Technology
2023

Wuyi University
2016

Institute of Urban Environment
2016

Chinese Academy of Sciences
2016

Jiangsu University of Science and Technology
2015

Nanjing University
2011

State Key Laboratory of Pollution Control and Resource Reuse
2011

Beijing Normal University
2006

Background: Schwann cells (SCs) can potentially transform into the repair-related cell phenotype after injury, which promote nerve repair. Ferroptosis occurs in SCs of injured tissues, causing damage to...

10.1039/d4bm01570c article EN Biomaterials Science 2025-01-01

Abstract Considering the Potts model on diamond-like hierarchical lattices, in this paper, we show that Julia sets of singularities free energy may be a Feigenbaum set. Furthermore, prove these are locally connected if they connected.

10.1017/s0143385709000522 article EN Ergodic Theory and Dynamical Systems 2009-10-13

For the Potts models on diamond-like hierarchical lattice, domains of complex phases are indeed Fatou components a family rational maps. In this paper, we deal with relationships between and Jordan describe topological structures completely.

10.1088/0951-7715/20/1/008 article EN Nonlinearity 2006-12-08

10.1016/j.chaos.2011.07.013 article EN Chaos Solitons & Fractals 2011-08-31

I. N. Baker established the existence of Fatou component with any given finite connectivity by method quasi-conformal surgery. M. Shishikura suggested giving an explicit rational map which has a greater than 2. In this paper, considering family maps<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>R</mml:mi><mml:mfenced separators="|"><mml:mrow><mml:mi>z</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:mfenced></mml:math>that A. F. Beardon proposed, we...

10.1155/2014/621312 article EN cc-by Abstract and Applied Analysis 2014-01-01

10.1007/s40840-022-01416-8 article EN Bulletin of the Malaysian Mathematical Sciences Society 2022-11-29

10.1016/j.jmaa.2024.128997 article EN Journal of Mathematical Analysis and Applications 2024-10-01

10.1016/j.jmaa.2011.01.016 article EN Journal of Mathematical Analysis and Applications 2011-01-20

10.1016/j.jmaa.2015.06.066 article EN publisher-specific-oa Journal of Mathematical Analysis and Applications 2015-07-04

10.1016/j.physleta.2006.02.029 article EN Physics Letters A 2006-02-22

10.1007/s10773-015-2550-1 article EN International Journal of Theoretical Physics 2015-02-13

Considering a family of rational maps concerning renormalization transformation, we give perfect description buried points and phase transition in the Julia set . Furthermore, prove that contains an open interval where all are for some parameters n λ, which is according to problem Curry Mayer proposed. MSC:37F10, 37F45.

10.1186/1687-1847-2014-239 article EN cc-by Advances in Difference Equations 2014-09-11

Considering the Julia sets of a family rational maps concerning two-dimensional diamond hierarchical Potts models in statistical mechanics, we show continuity their Hausdorff dimension.

10.1155/2013/492356 article EN ISRN Mathematical Analysis 2013-04-18

Implementing carbon mitigation through urban spatial optimisation is a possible solution for alleviating global warming. However, the relationship between emissions and structure has not been well clarified, as adequate mapping of high-spatial-resolution from different sectors (particularly residential sectors), precondition to solving problem, yet be achieved. This study proposes hybrid method distribution on 1 km × scale using multi-source data exemplifies it via case Chinese city Suzhou....

10.1177/23998083231167167 article EN Environment and Planning B Urban Analytics and City Science 2023-04-12

Abstract This paper is devoted to investigating the number of zeros a one-parameter familyof rational harmonic functions fc(z). It considered be as an analogue work on that corresponding polynomials pc(z), which was investigated recently by Sandberg. Moreover, this explores rc(z). Our proofs rely Argument Principle for Harmonic Functions and Poincare index.

10.21203/rs.3.rs-3163945/v1 preprint EN cc-by Research Square (Research Square) 2023-07-19
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