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- Cayley-Hamilton Theorem
- Chinese remainder theorem
- Compression
- Diophantine approximation
- Dirichlet's approximation theorem
- Dirichlet's unit theorem
- Dynamics
- eigenvalues
- Entropy
- Generic Matrix
- Geometry
- Geometry of numbers
- Homogeneous spaces
- Hyperbolic space
- Lattices
- Minkowski's Theorem
- Number Theory
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- SL_2(Z)
- stochastic matrices
- Weak Law of Large Numbers
Archives
Category Archives: Algebraic number theory and dynamics
The rise of algebraic extensions
In the post about number theory and lattices, we tried to determine when is the Euclidean distance in is actually a Euclidean norm and we were led to study the embeddings of rings such as as lattices in . As mentioned … Continue reading
From number theory to geometry of lattices
Number theory can mean a lot of thing to a lot of people. This is a very big part of mathematics, and it contains many areas starting with the elementary number theory (“simple” congruence like arguments), algebraic number theory (e.g. … Continue reading
