Kyushu University Academic Staff Educational and Research Activities Database
Researcher information (To researchers) Need Help? How to update
Takashi Hara Last modified date:2016.06.02



Graduate School
Undergraduate School
Administration Post
Dean of the Faculty of Mathematics


Homepage
http://www2.math.kyushu-u.ac.jp/~hara/
This web page is on my research and teaching activities. Contains list of publications and some of my lecture notes for my class. .
Academic Degree
Doctor of Philosophy
Field of Specialization
Mathematical Physics
Outline Activities
On research: I have been studying crical phenomena and continuum limits of stitistical mechanical models in a mathematically rigorous way. These problems arise as a result of cooperative phenomena in systems of infinite degrees of freedom. Mathematically, these phenomena can be interpreted as a consequence of (yet unknown) limit theorems in probability theory. Currently, I am using Renormalzation Group Methods to study these problems. Recently, I am also studying problems related to foundations of quantum statistical mechanics.
Education: Have taught a lot of basic courses on undergraduate and gradute levels. Also acted as thesis advisors based on my
research interests explained above.
Research
Research Interests
  • Foundations of Quantum Statistical Mehanics
    keyword : Quantum Statistical Mechanics
    2012.04~2018.12.
  • critical behavior of classical spin systems
    keyword : renormalization group, spin systems, critical behavior, low-temperature phase
    2011.09~2013.05.
  • Critical Behaviour of four dimensional self-avoiding walk
    keyword : critical phenomena, self-avoiding walk
    2005.01Critical Behaviour of 4-dimensional self-avoiding walk.
  • Critical behaviour of q-lattice animals
    keyword : critical phenomena, q-lattice animals, percolation
    2004.01Critical Behaviour of p-q model.
  • Critical behaviour of hierarchical self-avoiding walk
    keyword : critical phenomena, hierarchical model, renormalization group, self-avoiding walk
    2002.04Critical Behaviour of Hierarchical Self-Avoiding Walk.
  • Critical Behaviour and Continuum Limits of Hierarchical Ising Model
    keyword : critical phenomena, quantum field theory, hierarchical model, Ising model
    1998.04~2002.02Critical Behaviour and Continuum Limtis of Hierarchical Ising Model in Four Dimensions.
  • Asymptotic behaivour of 2-point functions for stochastic geometric models
    keyword : critical phenomena, percolation, self-avoiding walk, 2-point function, critical point, lace expansion
    1998.09~2004.08Critical two point functions of percolation and self-avoiding walks.
Academic Activities
Papers
1. Takashi HARA, Decay of Correlations in Nearest-Neighbor Self-Avoiding Walk, Percolation, Lattice Trees and Animals, Annals of Probability, vol. 36, pp.530-593, 2008.03.
Presentations
1. q-Lattice Animals.
2. Decay of Correlations in Nearest Neighbour Self-Avoiding Walk, Percolation, Lattice Trees and Animals.
Educational
Other Educational Activities
  • 2013.09, I have given a series of lectures in "Mathematical Physics 2013", held in Tokyo. .
  • 2013.06, I have given a series of lectures at the Feza Gursey Summer School on Mathematical Physics held in Istanbul. .
  • 2005.08, Have given a lecture in an extramural course, organized by the Faculty of Mathematics.
Social
Professional and Outreach Activities
I gave lectures for "open campus" events at my university, and also at an international summer school on mathematical physics. (Details will be given in separate items.) .