Tarek Hamdi

activity

20122025

most citedOpen Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions

15 citations · 37 across the 19 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.PR2017

Spectral distribution of the free Jacobi process, revisited

Tarek Hamdi

We obtain a description for the spectral distribution of the free Jacobi process for any initial pair of projections. This result relies on a study of the unitary operator $RU_tSU_…

math.PR2017

Free mutual information for two projections

Tarek Hamdi

The present paper provides a proof of $i^{*} (C P + C (I - P); C Q + C (I - Q)) = - χ_{or b} (P, Q)$ for two projections $P, Q$ without any extra assumptions. An an…

math.PR2017★ 4 cited

Liberation, free mutual information and orbital free entropy

Tarek Hamdi

We present here some connections between the liberation process for projections $(P, Q) \mapsto (P, U_{t} Q U_{t}^{*})$ and its counterpart $(R, S) \mapsto (R, U_{t} S U_{t}^{*})$ for symmetries when the…