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.

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

Unauthorized reprint of the contents of this database is prohibited.