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Fingerprint Dive into the research topics where Takashi Hara is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Mathematics

Self-avoiding Walk
Lace Expansion
Critical Behavior
Mean Field
Higher Dimensions
Critical Exponents
Scaling Limit
Spin Systems
Critical point
Nearest Neighbor
High-dimensional
Lattice Animals
Correlation Length
Brownian Excursion
Critical Phenomena
Susceptibility
Model
Triangle
Simple Random Walk
Critical Dimension
Logarithmic
Renormalization Group
Lower bound
P-adic
Animals
Iwasawa Theory
Ising Model
Decay of Correlations
Convergence in Distribution
Trajectory
Generating Function
Lattice System
Ferromagnet
Asymptotically Linear
Hierarchical Model
Skeleton
Riemann zeta function
Exponent
Mean Square
Brownian motion
Polymers
Fixed point
Logarithm
Magnetization
Hilbert Modular Forms
Two Dimensions
Exact Enumeration
Galois Extension
Infrared
Imply

Physics & Astronomy

General

exponents
expansion
critical point
scaling
Ising model
triangles
enumeration

Engineering

magnetic permeability
interlayers

Aeronautics

trajectory control
trajectories

Aerospace Sciences

gravitational collapse

Life Sciences

musculoskeletal system
animals

Chemistry and Materials

polymers
nitrogen

Mathematical and Computer Sciences

theorems

Physics

perturbation