Luca Avena,Remco van der Hofstad,Frank den Hollander et al.
Luca Avena et al.
We analyse the mixing profile of a random walk on a dynamic random permutation, focusing on the regime where the walk evolves much faster than the permutation. Two types of dynamics generated by random transpositions are considered: one all...
Giuseppe Cannizzaro,Harry Giles
Giuseppe Cannizzaro
We investigate the large-scale behaviour of the Self-Repelling Brownian Polymer (SRBP) in the critical dimension d = 2 . The SRBP is a model of self-repelling motion, which is formally given by the solution to a stochastic differential equ...
Miha Brešar,Aleksandar Mijatović
Miha Brešar
We provide a criterion for establishing lower bounds on the rate of convergence in f-variation of a continuous-time ergodic Markov process to its invariant measure. The criterion consists of novel super- and submartingale conditions for cer...
Volodymyr Riabov
Volodymyr Riabov
We establish universal Gaussian fluctuations for the mesoscopic linear eigenvalue statistics in the vicinity of the cusp-like singularities of the limiting spectral density for Wigner-type random matrices. Prior to this work, the linear eig...
Phase transition for random walks on graphs with added weighted random matching [0.03%]
加权随机匹配图上随机游走的相变
Zsuzsanna Baran,Jonathan Hermon,Anđela Šarković et al.
Zsuzsanna Baran et al.
For a finite graph G = ( V , E ) let G ∗ be obtained by considering a random perfect matching of V and adding the corresponding edges to G with weight ε , while assigning weight 1 to the original edges of G. We consider whether...
Simon Gabriel,Tommaso Rosati,Nikos Zygouras
Simon Gabriel
This work considers the two-dimensional Allen-Cahn equation ∂ t u = 1 2 Δ u + m u - u 3 , u ( 0 , x ) = η ( x ) , ∀ ( t , x ) ∈ [ 0 , ∞ ) × R 2 , where the initial condition η is a tw...
Non-commutative [Formula: see text] spaces and Grassmann stochastic analysis [0.03%]
非交换[公式]空间和草曼诺维奇分析
Francesco De Vecchi,Luca Fresta,Maria Gordina et al.
Francesco De Vecchi et al.
We introduce a theory of non-commutative L p spaces suitable for non-commutative probability in a non-tracial setting and use it to develop stochastic analysis of Grassmann-valued processes, including martingale inequalities, stochastic in...
Diophantine conditions in the law of the iterated logarithm for lacunary systems [0.03%]
数论条件在亏格系统中的迭代对数定律中的应用
Christoph Aistleitner,Lorenz Frühwirth,Joscha Prochno
Christoph Aistleitner
It is a classical observation that lacunary function systems exhibit many properties which are typical for systems of independent random variables. However, it had already been observed by Erdős and Fortet in the 1950s that probability the...
Alice Callegaro,Matthew I Roberts
Alice Callegaro
We define a fragmentation process which involves rectangles breaking up into progressively smaller pieces at rates that depend on their shape. Long, thin rectangles are more likely to break quickly, whereas squares break more slowly. Each r...
From ABC to KPZ [0.03%]
从ABC到KPZ
G Cannizzaro,P Gonçalves,R Misturini et al.
G Cannizzaro et al.
We study the equilibrium fluctuations of an interacting particle system evolving on the discrete ring with N ∈ N points, denoted by T N , and with three species of particles that we name A, B and C, but such that at each site there ...