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0xbadf00d
  • Member for 11 years, 8 months
  • Last seen more than a week ago
  • Germany
9 votes

Sequence converging to the supremum

7 votes

Measurable function applied on stationary sequence

6 votes
Accepted

$5$ questions on the definition of the Gelfand triple

4 votes

How to prove that the collection of rank-k matrices forms a closed subset of the space of matrices?

4 votes
Accepted

homeomorphisms mapping interiors to interiors and boundaries to boundaries

4 votes
Accepted

If $A$ is self-adjoint, then $\left\|A\right\|=\sup_{x\in H\setminus\{0\}}\frac{\langle Ax,x\rangle}{\left\|x\right\|^2}$

3 votes
Accepted

Abstract idea behind the method of characteristics to solve first-order PDEs

3 votes

Definition of relative (sequential) compactness

3 votes
Accepted

Processes $(X_t)_{t≥0}$ and $(Y_t)_{t≥0}$ are independent iff $(X_t)_{t∈I}$ and $(Y_t)_{t∈J}$ are independent for all finite $I,J⊆[0,∞)$

2 votes

A characterization of trace class operators

2 votes
Accepted

Trace term in the Itō formula

2 votes
Accepted

Too simple proof of a unique solution of the stationary Navier-Stokes equation

2 votes
Accepted

Is the symmetrization of an infinitely divisible measure infinitely divisible as well?

2 votes

(continuously) extend a function from a $C^1$-boundary to the whole space

1 vote

Differentiability at the boundary of a function on a half space

1 vote
Accepted

Definition of the tangential gradient

1 vote

Does the pushforward of a smooth map on a manifold coincide with the derivative in a tangent direction of any local extension?

1 vote

Chapman-Kolmogorov equations for $X^{s,\:x}(t)=x+\int_s^tv\left(r,X^{s,\:x}(r)\right)\:{\rm d}r$

1 vote

If $T_t$ is the flow generated by the autonomous velocity $v$ and $\left.v\right|_{\partial\Omega}=0$, then $T_t(\partial\Omega)=\partial\Omega$

1 vote

If $(T_t)_{t\ge0}$ is a flow on a submanifold $\Omega$ with boundary with velocity $v$ satisfying $\langle v,\nu_{∂Ω}\rangle=0$, then $T_t(∂Ω)⊆∂Ω$

1 vote
Accepted

Show that the characteristic function of a finite signed measure on a normed vector space is uniformly continuous

1 vote
Accepted

If $X$ and $Y$ are Lévy processes with $X_t\sim Y_t$ for all $t$, can we infer that $X\sim Y$?

1 vote

If a normalized sequence of finite measures converges weakly, does the same hold true for the nonnormalized one?

1 vote
Accepted

Show that concatenation of two processes is measurable

1 vote

Show that every continuous Lévy process is a Wiener process

1 vote

Why does $M_0(\omega)\in\{0,1\}$ imply $M_0=0$ or M_0=1$ almost surely here?

1 vote
Accepted

If $X_1,X_2$ are indep. and $Y_1,Y_2$ are indep. with $(Y_1,Y_2)∼N((x_1,x_2),σ^2I)$ if $(X_1,X_2)=(x_1,x_2)$, are $X_1(Y_1-X_1),X_2(Y_2-X_2)$ indep.?

1 vote
Accepted

How can we show $C_c^\infty(\Omega)\subseteq C^{0,\:\alpha}(\overline\Omega)$ for all $\alpha\in(0,1]$?

1 vote

Brownian motion, modifications vs indistinguishablity

1 vote

Existence of regular conditional distribution of random variable given the value of another variable