For n x n i.i.d. Bernoulli(p) matrices, P(corank >= k) = (1-p + o_n(1))^{k n} when k = O(sqrt(log n)).
Zhang, Stochastic Volterra equations in Banach spaces and stochastic partial differential equation
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Quantitative estimates and weak convergence rates are derived for the Euler-Maruyama discretization of α-stable SDEs with bounded or Besov-negative drifts.
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Rank deficiency of Bernoulli random matrices for growing corank
For n x n i.i.d. Bernoulli(p) matrices, P(corank >= k) = (1-p + o_n(1))^{k n} when k = O(sqrt(log n)).
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Euler--Maruyama scheme for $\alpha$-stable SDE with distributional drift
Quantitative estimates and weak convergence rates are derived for the Euler-Maruyama discretization of α-stable SDEs with bounded or Besov-negative drifts.