Laboratory Introduction (Department of Mathematical Sciences)

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RESEARCH THEMES Examples of student research topics

Estimation of mixing times for hard core models using grand coupling
Best choice question considering second place
Repeated game prisoner's dilemma
Nim's Grandi numbers with moves across multiple mountains
On the uncertainty of singular points of m-th order linear ordinary differential equations
Jacobi elliptic functions
Combinatorics of non-intersecting paths and plane partitions
Final scale equation for infectious disease mathematical models
Stability analysis of uniform solutions in optimal velocity models.
Measuring viewpoint position from a photograph of Tennis Court
Making models of extremely small curved surfaces using a 3D printer
Polynomial invariants of links —Focusing on torus links and Conway polynomials—
Lie algebras of vector fields with polynomial coefficients on higher dimensional spheres
On the group of symmetries of flat origami
On the division and filling congruence of polygons in the hyperbolic plane
On the GKZ equations with Kummer's confluent hypergeometric series as series solutions
Enumeration of Euler squares derived from finite fields
Projective plane and its applications to coding theory
Stationary distributions of finite Markov chains
On the Galton-Watson process
Analysis of relationships between macroeconomic variables using VAR and SVAR-LiNGAM models
Causal inference based on propensity scores and its application to estimating the effects of education