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math-ph2021★ 5 cited
Glass--like transition described by toppling of stability hierarchy
Jacek Grela, Boris A. Khoruzhenko
Building on the work of Fyodorov (2004) and Fyodorov and Nadal (2012) we examine the critical behaviour of population of saddles with fixed instability index in high dimensiona…
cond-mat.stat-mech2021★ 24 cited
Non-intersecting Brownian bridges in the flat-to-flat geometry
Jacek Grela, Satya N. Majumdar, Gregory Schehr
We study vicious Brownian bridges propagating from an initial configuration at time to a final configuration …