Peter Mühlbacher

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20182024

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math.PR2019

Critical Parameters for Loop and Bernoulli Percolation

Peter Mühlbacher

We consider a class of random loop models (including the random interchange process) that are parametrised by a time parameter $β \geq 0$ . Intuitively, larger $β$ means more randomn…

math.PR2018

Bounds on the norm of Wigner-type random matrices

László Erdős, Peter Mühlbacher

We consider a Wigner-type ensemble, i.e. large hermitian $N \times N$ random matrices $H = H^{*}$ with centered independent entries and with a general matrix of variances $S_{xy}=\mathb…