1,672 reputation
1817
bio website nicolasessisbreton.com
location Montreal, Canada
age 30
visits member for 3 years, 1 month
seen yesterday

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


Oct
9
accepted Show $\exists f \in C \ni \|f\|_\infty \le 1$, but it's Fourier series diverges
Oct
9
accepted Brownian motion: Show $\lim \sum W_{i} (W_{i+1}-W_{i})=\frac12 W^2_t-\frac12 t$ in probability.
Sep
25
accepted Show translation is not continuous in $\text{Lip}_\alpha(T)$
Sep
16
accepted Does $\int_a^b \text{Im}(f(t))e^{int}dt=0$ implies $f=0$ on $[a,b]$
Sep
16
accepted Does the complex conjugate of an integral equal the integral of the conjugate?
Aug
29
accepted Find $\displaystyle{\int_C \left(1+ \frac{2}{z}\right) dz}$ , where $C(\theta)= e^{i\theta}, 0 \le \theta \le \pi$
Jun
28
accepted Show $g(a)= \operatorname*{arg}_{b \in B} \, f(a,b)=0$ is continuous when $g(a)$ is single-valued and $f$ continuous
Jun
23
accepted Show $f(a)=\operatorname{E} \min(aX,Y)$ is a quasilinear function of $a$
Jun
19
accepted Show $f(x)=\int_E x^tg(t)d\mu(t)$ is continuous when $\mu$ is a general measure
Jun
15
accepted Finding the fixed point of a function
Apr
12
accepted Show $f \in L^p$ implies there is a set $E$ and a function $g$ for which $f=f\chi_E+g$ with $m(E)<\infty$ and $|g|\le 1$
Mar
6
accepted Brownian motion: hitting time of double barrier vs hitting time of single barrier
Feb
19
accepted Show a $\sigma$-algebra contains the Borel sets : with $(a,\infty)$ or $(-\infty,b)$?
Feb
17
accepted Show a function is continuous if and only if it is both upper and lower semi-continuous
Nov
16
accepted Cesaro mixing time and mixing time: show $t_m(1/4) \le 6s_m(1/8)$
Nov
14
accepted Random walk on connected graph: show $E_vT_w \ne E_wT_v$
Nov
7
accepted Show $X_n {\buildrel p \over \rightarrow} X$ and $X_n \le Z$ a.s., implies $X \le Z$ a.s.
Nov
7
accepted Show $\sum\limits_{k=2}^{n}{k \over \ln k} \le {n^2 \over \ln n}$
Oct
16
accepted Show a statistic is not sufficient
Oct
13
accepted Total variation inequality for the product measure