4 papers · 1 filter
The Efron-Stein inequality for identically distributed pairs
Jnaneshwar Baslingker, Bálint Virág
We prove that the classical Efron--Stein inequality holds for independent exchangeable pairs \((X_i,Y_i)\). The same inequality fails for independent identically distributed pairs;…
The bead process for beta ensembles
Joseph Najnudel, Bálint Virág
The bead process introduced by Boutillier is a countable interlacing of the determinantal sine-kernel point processes. We construct the bead process for general sine beta processes…
Entropy and expansion
Endre Csóka, Viktor Harangi, Bálint Virág
Shearer's inequality bounds the sum of joint entropies of random variables in terms of the total joint entropy. We give another lower bound for the same sum in terms of the individ…
Circular support in random sorting networks
Duncan Dauvergne, Bálint Virág
A sorting network is a shortest path from to in the Cayley graph of the symmetric group generated by adjacent transpositions. For a uniform random sort…