Nicolas Essis-Breton
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 Jul 5 accepted References on the Nash-Moser implicit function theorem Feb 10 accepted Circulant matrix : eigenvector Sep 8 accepted Is it possible to construct a Loeb measure for $\{\epsilon: \epsilon\in[0,1], \epsilon \text{ infinitesimal}\}$? Sep 3 accepted Sampling from the diamond: $|x_1|+\ldots+|x_n| \le 1$? Aug 24 accepted What is the function given by $\sum_{n=0}^\infty \binom{b+2n}{b+n} x^n$, where $b\ge 0$, $|x| <1$ May 4 accepted Is there a standard $L^2$ norm for multi-valued function $f:\mathbb R^n \to \mathbb R^n$? Apr 18 accepted Is there a smooth map from the square to the deltoid? Feb 10 accepted Is finding the maximum of a polynomial of degree one a linear programming problem? Feb 4 accepted Maximization of a function defined with $\max$ Oct 12 accepted Is there a nonstandard characterization of Lipschitz continuity? Oct 1 accepted Is there a continuous bijection between an interval and a square: $[0,1] \mapsto [0,1] \times [0,1]$? Aug 31 accepted Show that, for a random walk $X$ on $\mathbb Z_2$, $X_\infty$ is independent of the past $\left\{ X_t \right\}_{0\le t<\infty}$ Aug 30 accepted $P\left( X_n = 0 \right)$ when $X_n$ is a random walk on the cyclic group $\mathbb Z_2$ May 31 accepted show $\frac{1}{n}\sum (X_i - \mu_i) \xrightarrow{L^2} 0$, $X_i$ independent with mean $\mu_i$ May 27 accepted Is it possible to use the matrix element-wise max norm when checking if a vector-valued map is a contraction? May 20 accepted Finding the range of a vector valued function May 17 accepted Vector valued Mean value theorem: Norm for the gradient May 17 accepted Show $5z^n=e^z$ has a finite number of zero in $\{a<\Im z < v\}$ and $\{a < \Re z < b \}$ May 16 accepted Show the map $f(x)=\frac12 (x+1/x)$ has an attractive fixed point in $(0,\infty)$ May 13 accepted Mean number of particle present in the system: birth-death process, $E(X_t|X_0=i)$, $b_i=\frac{b}{i+1}$, $d_i=d$