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 Jan13 comment Diagonalization of $M=ab^t+ba^t$ @yoirgos: thanks ! Can you conclude and give the values of $\lambda_1$ and $\lambda_2$ and the formula for the associated eigenvectors ? Oct25 comment Approximation of stochastic differential equations @TheBridge : thanks. Of course studying z_t and applying Gronwall Lemma is the classical strategy. But here the problem is that you cannot bound the Lipschitz coefficient because it is only assumed locally lipschitz... May2 comment Linear inhomogeneous PDE Thnak you! I give you the answer. May1 comment Linear inhomogeneous PDE Thank you very much. I think your value of $\lambda^*$ slightly overestimates the real one. This is maybe because $\bar{u}-u$ is not completely negligible as you mentioned. How could we improve your estimate ? May1 comment Eigenvalues of the 1D laplacian with mixed boundary conditions @GiuseppeNegro Thank you! It confirms my first intuition then. So I guess we cannot solve $u=\Delta u$ with such B.C. using the usual separation of variable method... Because when doing so, we decompose the solution along the eigenvectors, and here without a discrete spectrum I do not know how to do it. Apr30 comment Eigenvalues of the 1D laplacian with mixed boundary conditions @GiuseppeNegro Hi, thanks for the hint; I tried this already. I find a zero eigenvalue (ok) but then I cannot exclude positive eigenvalues, and I do not get a discrete spectrum. So I believe I may be wrong. Feb7 comment Number of real solutions of a random equation Dear Kirill, thank you a lot for your attempt. It looks like you are trying to apply Kac-Rice formula. But unfortunately I think your formula is missing the absolute value of the Jacobian determinant. Do you agree, or am I missing something ? Nov7 comment Laws of $(B_t)_{t\in [0,T]}$ and $(2B_t)_{t\in [0,T]}$ : singular? Thank you very much ! Oct11 comment expectation of supremum of random process @TheBridge : thanks but there is no satisfactory answer so far Oct10 comment Eigenvalues problem @percusse : no i think J is a matrix Jun30 comment Optional stopping theorem for Hilbert valued martingales @NateElderedge Thank you, I agree that it should be straightforward but I am often surprised by the subtle problems appearing in infinite dimension. Thanks again!