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Recent Posts
Tags
- 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
- Pell's equations
- radar
- random walk
- self similar sets
- Sierpinski carpet
- Sierpinski triangle
- SL_2(Z)
- stochastic matrices
- Weak Law of Large Numbers
Archives
Monthly Archives: December 2016
From Diophantine approximation to geometry of numbers
We all know about Pythagoras and his obsession with triangles. Usually when we first learn about the rational and real numbers, we are also told about the Pythagoreans, a 6th century BCE cult that started with the followers of Pythagoras and … Continue reading
A wild lattice appears
A couple of years ago I began doing some research in a new mathematical area (at least new for me) and suddenly lattices began to appear everywhere. The thing that makes these lattices interesting is how they are connected to … Continue reading