symmetry Archives - Quantum Calculus

Moving along the Symmetry of a Geometry

By oliverknill August 25, 2024 August 27, 2024 itemprop="discussionURL"0

Here is the proof that is solved by with , the QR decomposition. Proof. We show that is solved . From by $Q_t$ with , we get . Look at the differential equations for Q,R with initial condition . The first equation gives the conjugating orthogonal transformation. Then, . But …

ergodic theory, quantum calculus

Symmetry via Ergodic Theory

By oliverknill October 1, 2017 March 8, 2018

One of the attempts to quantize space without losing too much symmetry is ergodic theory. Much of my thesis belongs to this program. It is a flavor of quantum calculus, as “no limits” are involved. The story is closely related to Jacob Feldman, one of my heroes of my graduate …