1,653 reputation
1717
bio website nicolasessisbreton.com
location Montreal, Canada
age 30
visits member for 3 years
seen Jun 25 at 11:52

I'm a graduate math student at Concordia University, Montreal.


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 What is the function given by $\sum_{n=0}^\infty \binom{b+2n}{b+n} x^n$, where $b\ge 0$, $|x| <1$
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, $E(X_t|X_0=i)$, $b_i=\frac{b}{i+1}$, $d_i=d$
May
5
accepted Show $\dbinom{n}{2}^{-1} \sum_{i < j} X_i X_j \xrightarrow{p} \mu^2$, when $X_i$ are i.i.d. with mean $\mu$ and finite variance
Apr
29
accepted $X_n \sim \text{Exponential}(\lambda_n)$, independent, $\sum 1/\lambda_n = \infty$, then, $\sum X_n=\infty$ a.s.
Apr
29
accepted Strict inequality in Reverse Fatou lemma: $\varlimsup \int f_n\le \int \varlimsup f_n$
Apr
23
accepted Show $\det \left[T\right]_\beta=-1$, for any basis $\beta$ when $Tx=x-2(x,u)u$, $u$ unit vector