whileis an incidence matrix encoding which-simplices lie in the boundary of a givenk-simplex. These matrices satisfy the property that every successive compositeequals zero, andis the dimension of the quotient vector space. In order to calculate, one is required to put the matricesin reduced ec...
We consider the 2D Navier–Stokes system, perturbed by a white in time random force, proportional to the square root of the viscosity. We prove that under the limit “time to infinity, viscosity to zero” each of its (random) solution converges in distribution to a non-trivial stationary pr...
Our main aim is to show that, if the diffusion coefficient tends to infinity, then the solutions converge (in a suitable sense) to solutions of the Laplace equation with the same dynamical boundary condition.DOI: 10.48550/arXiv.1901.00017 被引量: 5 ...
Clearly, if K is a Lipschitz continuous function, under the above condition, the subordinated process Yi=K(Xi) is also p-stable since δi,p=O(|ai|). Example 2 Volterra Field Another class of nonlinear random fields is the Volterra process which plays an important role in the nonlinear sy...
We consider the sequence (dn/R(pn)) of normalized prime gaps, and show that its limit point set contains at least 25% of non-negative real numbers. We also show that the same result holds if R(T) is replaced by any 'reasonable' function that tends to infinity more slowly than R(T...
then the evolution of the QW is determined by ) 1 ( ) 1 ( ) ( 1 x R x P t t t t . The probability that the quantum walker t X is at position x at time t , is given by 2 ) ( ) ( x x X P t t , where x x x 2 . In order to obtain the limit theorems we int...
We study the 2D Ising model in a rectangular box Lambda(L) of linear size O(L). We determine the exact asymptotic behaviour of the large deviations of the magnetization Sigma(t is an element of Lambda L) sigma(t) when L --> infinity for values of the parameters of the model ...
Limit theorems are proved for the range of d-dimensional random walks in the domain of attraction of a stable process of index beta. The range R(n) is the number of distinct sites of Z(d) visited by the random walk before time n. Our res... JF Legall,J Rosen - 《Annals of Proba...
(1) concentration inequalities using Stein's method of exchangeable pair, (2) first-passage percolation along thin lattice cylinders and (3) limiting spectral distribution of random linear combinations of projection matrices.Stein's method is a semi-classical tool for establishing distributional ...
(2)) decays exponentially in L-2 -norm, provided u(.,0) is an element of L-q (R-d) boolean AND L-2 (R-d) for 1 <= q <= p <= infinity. Moreover, u((1)) - U decays at the optimal rate t(-d/2) (()(1/q-1/p)-1) as t -> +infinity if the original system ...