Research areas

 

In our group, the research themes are partitioned into four main areas:

The first area is about developing efficient techniques to solve the optimization problem of resource allocation and multiple accesses in wireless communication networks. Both infrastructure-based (cellular networks) and distributed wireless networksรูปภาพที่เกี่ยวข้อง such wireless sensor networks are considered. In developing these techniques, the constraints on transmission power and frequency usage to access the available spectrum in the network will be taken into account so that the required application performance
(e.g., transmission rate) can be achieved. The techniques must obtain a global optimality or an equilibrium point with low complexity that all devices or nodes in the network are satisfied. In the proposal, we are going to use the fixed-point theorem and other mathematical or computation methods as tools to solve the aforementioned problems in wireless networks. To this end, the developed techniques will be applied in a real-world scenario. The recent project, “Computational methods and Fixed-Point Algorithms for Resource Allocation in Wireless Networks and their Applications”, is sponsored by the National Research University (NRU), KMUTT, NRCT and TRF.

รูปภาพที่เกี่ยวข้อง         The second area is about fundamental physics. In order to understand the nature of phenomena and substances from the atomic to cosmic scale, deep logical thoughts and mathematical models are needed. Then mathematical physics plays a major role in this part of research. Our staffs are specialized in quantum mechanics, quantum field theory and integrable systems.

 

The third area is about condensed matter physics, in which we are interested in electrical properties รูปภาพที่เกี่ยวข้องsuch as conductivity or mobility of the charge carriers in materials. Graphene gains a lot of attention due its exotic mechanical and electrical properties and its potential to replace all silicon based devices in the near future. We use both analytical and computational approaches to investigate the fundamental properties of graphene conductivity and the possibility to design graphene-based logic gates, circuits and devices. Additionally, we are also interested in amorphous materials, in which the finding of unified theory to elucidate the mechanical properties and phase transition behaviors of these non-crystalline, disordered structures, has become a big challenge for ‘soft’ condensed matter physicists
ผลการค้นหารูปภาพสำหรับ path-integral technique The fourth area is about theoretical biophysics and complex systems, in which our research topics range from a novel application of path-integral technique on the bio-electronic devices to the molecular simulations of structures and dynamics of biomolecules, the principles of electro-chemical reactions described by non-equilibrium thermodynamics and the statistical mechanical models on the criticality of the complex system behaviors, such as the outbreak of diseases.

 

 

  • Fixed Point Optimization Algorithms for Convex Optimization Models
  • Wireless Communications Services and Applications
  • Financial Mathematics
  • Computational Neuroscience and Mathematical Physiology (Insulin Modelling)
  • Stochastic Models, Stochastic Process & Applications
  • Variational Inequality of Nonlinear  Analysis, Dynamical Systems and Shape Optimization
  • Nonlinear Integrable Systems and Mathematical Physic
  • Wireless Network Optimization and Robust Optimization with an Application in Resource Allocation of Wireless Communication and Networking
  • Queueing Theory and Markov Chain with an Application in Performance Evaluation of Communication Systems
  • Crime Mapping for the Battle Creek Evaluation
  • Modeling Networks and Evolution of Complex Systems
  • Coupling Land-Atmosphere Processes
  • Theoretical Condensed Matter and Graphene
  • Computational Physics and Amorphous materials
  • Statistical Mechanics of Glasses, Glassy Dynamics, Nuclear Fusion
  • Numerical Methods and Mathematical Analysis
  • Fourier Analysis and Wavelets transform
  • Fixed Point Theory and Applications
  • Nonlinear and Convex Analysis

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