@article{63248,
  abstract     = {{<jats:title>Abstract</jats:title>
          <jats:p>The Navier–Stokes system <jats:disp-formula>
              <jats:alternatives>
                <jats:tex-math>$$\begin{aligned} \left\{ \begin{array}{l} u_t + (u\cdot \nabla ) u =\Delta u+\nabla P + f(x,t), \\ \nabla \cdot u=0, \end{array} \right. \end{aligned}$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mtable>
                      <mml:mtr>
                        <mml:mtd>
                          <mml:mfenced>
                            <mml:mrow>
                              <mml:mtable>
                                <mml:mtr>
                                  <mml:mtd>
                                    <mml:mrow>
                                      <mml:msub>
                                        <mml:mi>u</mml:mi>
                                        <mml:mi>t</mml:mi>
                                      </mml:msub>
                                      <mml:mo>+</mml:mo>
                                      <mml:mrow>
                                        <mml:mo>(</mml:mo>
                                        <mml:mi>u</mml:mi>
                                        <mml:mo>·</mml:mo>
                                        <mml:mi>∇</mml:mi>
                                        <mml:mo>)</mml:mo>
                                      </mml:mrow>
                                      <mml:mi>u</mml:mi>
                                      <mml:mo>=</mml:mo>
                                      <mml:mi>Δ</mml:mi>
                                      <mml:mi>u</mml:mi>
                                      <mml:mo>+</mml:mo>
                                      <mml:mi>∇</mml:mi>
                                      <mml:mi>P</mml:mi>
                                      <mml:mo>+</mml:mo>
                                      <mml:mi>f</mml:mi>
                                      <mml:mrow>
                                        <mml:mo>(</mml:mo>
                                        <mml:mi>x</mml:mi>
                                        <mml:mo>,</mml:mo>
                                        <mml:mi>t</mml:mi>
                                        <mml:mo>)</mml:mo>
                                      </mml:mrow>
                                      <mml:mo>,</mml:mo>
                                    </mml:mrow>
                                  </mml:mtd>
                                </mml:mtr>
                                <mml:mtr>
                                  <mml:mtd>
                                    <mml:mrow>
                                      <mml:mrow/>
                                      <mml:mi>∇</mml:mi>
                                      <mml:mo>·</mml:mo>
                                      <mml:mi>u</mml:mi>
                                      <mml:mo>=</mml:mo>
                                      <mml:mn>0</mml:mn>
                                      <mml:mo>,</mml:mo>
                                    </mml:mrow>
                                  </mml:mtd>
                                </mml:mtr>
                              </mml:mtable>
                            </mml:mrow>
                          </mml:mfenced>
                        </mml:mtd>
                      </mml:mtr>
                    </mml:mtable>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:disp-formula>is considered along with homogeneous Dirichlet boundary conditions in a smoothly bounded planar domain <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$\Omega $$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mi>Ω</mml:mi>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula>. It is firstly, inter alia, observed that if <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$T&gt;0$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>T</mml:mi>
                    <mml:mo>&gt;</mml:mo>
                    <mml:mn>0</mml:mn>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> and <jats:disp-formula>
              <jats:alternatives>
                <jats:tex-math>$$\begin{aligned} \int _0^T \bigg \{ \int _\Omega |f(x,t)| \cdot \ln ^\frac{1}{2} \big (|f(x,t)|+1\big ) dx \bigg \}^2 dt &lt;\infty , \end{aligned}$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mtable>
                      <mml:mtr>
                        <mml:mtd>
                          <mml:mrow>
                            <mml:msubsup>
                              <mml:mo>∫</mml:mo>
                              <mml:mn>0</mml:mn>
                              <mml:mi>T</mml:mi>
                            </mml:msubsup>
                            <mml:mrow>
                              <mml:mo>{</mml:mo>
                            </mml:mrow>
                            <mml:msub>
                              <mml:mo>∫</mml:mo>
                              <mml:mi>Ω</mml:mi>
                            </mml:msub>
                            <mml:mrow>
                              <mml:mo>|</mml:mo>
                              <mml:mi>f</mml:mi>
                              <mml:mrow>
                                <mml:mo>(</mml:mo>
                                <mml:mi>x</mml:mi>
                                <mml:mo>,</mml:mo>
                                <mml:mi>t</mml:mi>
                                <mml:mo>)</mml:mo>
                              </mml:mrow>
                              <mml:mo>|</mml:mo>
                            </mml:mrow>
                            <mml:mo>·</mml:mo>
                            <mml:msup>
                              <mml:mo>ln</mml:mo>
                              <mml:mfrac>
                                <mml:mn>1</mml:mn>
                                <mml:mn>2</mml:mn>
                              </mml:mfrac>
                            </mml:msup>
                            <mml:mrow>
                              <mml:mo>(</mml:mo>
                            </mml:mrow>
                            <mml:mrow>
                              <mml:mo>|</mml:mo>
                              <mml:mi>f</mml:mi>
                              <mml:mrow>
                                <mml:mo>(</mml:mo>
                                <mml:mi>x</mml:mi>
                                <mml:mo>,</mml:mo>
                                <mml:mi>t</mml:mi>
                                <mml:mo>)</mml:mo>
                              </mml:mrow>
                              <mml:mo>|</mml:mo>
                            </mml:mrow>
                            <mml:mo>+</mml:mo>
                            <mml:mn>1</mml:mn>
                            <mml:mrow>
                              <mml:mo>)</mml:mo>
                            </mml:mrow>
                            <mml:mi>d</mml:mi>
                            <mml:mi>x</mml:mi>
                            <mml:msup>
                              <mml:mrow>
                                <mml:mo>}</mml:mo>
                              </mml:mrow>
                              <mml:mn>2</mml:mn>
                            </mml:msup>
                            <mml:mi>d</mml:mi>
                            <mml:mi>t</mml:mi>
                            <mml:mo>&lt;</mml:mo>
                            <mml:mi>∞</mml:mi>
                            <mml:mo>,</mml:mo>
                          </mml:mrow>
                        </mml:mtd>
                      </mml:mtr>
                    </mml:mtable>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:disp-formula>then for all divergence-free <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$u_0\in L^2(\Omega ;{\mathbb {R}}^2)$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:msub>
                      <mml:mi>u</mml:mi>
                      <mml:mn>0</mml:mn>
                    </mml:msub>
                    <mml:mo>∈</mml:mo>
                    <mml:msup>
                      <mml:mi>L</mml:mi>
                      <mml:mn>2</mml:mn>
                    </mml:msup>
                    <mml:mrow>
                      <mml:mo>(</mml:mo>
                      <mml:mi>Ω</mml:mi>
                      <mml:mo>;</mml:mo>
                      <mml:msup>
                        <mml:mrow>
                          <mml:mi>R</mml:mi>
                        </mml:mrow>
                        <mml:mn>2</mml:mn>
                      </mml:msup>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula>, a corresponding initial-boundary value problem admits a weak solution <jats:italic>u</jats:italic> with <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$u|_{t=0}=u_0$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:msub>
                      <mml:mrow>
                        <mml:mi>u</mml:mi>
                        <mml:mo>|</mml:mo>
                      </mml:mrow>
                      <mml:mrow>
                        <mml:mi>t</mml:mi>
                        <mml:mo>=</mml:mo>
                        <mml:mn>0</mml:mn>
                      </mml:mrow>
                    </mml:msub>
                    <mml:mo>=</mml:mo>
                    <mml:msub>
                      <mml:mi>u</mml:mi>
                      <mml:mn>0</mml:mn>
                    </mml:msub>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula>. For any positive and nondecreasing <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$L\in C^0([0,\infty ))$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>L</mml:mi>
                    <mml:mo>∈</mml:mo>
                    <mml:msup>
                      <mml:mi>C</mml:mi>
                      <mml:mn>0</mml:mn>
                    </mml:msup>
                    <mml:mrow>
                      <mml:mo>(</mml:mo>
                      <mml:mrow>
                        <mml:mo>[</mml:mo>
                        <mml:mn>0</mml:mn>
                        <mml:mo>,</mml:mo>
                        <mml:mi>∞</mml:mi>
                        <mml:mo>)</mml:mo>
                      </mml:mrow>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> such that <jats:disp-formula>
              <jats:alternatives>
                <jats:tex-math>$$\begin{aligned} \frac{L(\xi )}{\ln ^\frac{1}{2} \xi } \rightarrow 0 \qquad \text{ as } \xi \rightarrow \infty , \end{aligned}$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mtable>
                      <mml:mtr>
                        <mml:mtd>
                          <mml:mrow>
                            <mml:mfrac>
                              <mml:mrow>
                                <mml:mi>L</mml:mi>
                                <mml:mo>(</mml:mo>
                                <mml:mi>ξ</mml:mi>
                                <mml:mo>)</mml:mo>
                              </mml:mrow>
                              <mml:mrow>
                                <mml:msup>
                                  <mml:mo>ln</mml:mo>
                                  <mml:mfrac>
                                    <mml:mn>1</mml:mn>
                                    <mml:mn>2</mml:mn>
                                  </mml:mfrac>
                                </mml:msup>
                                <mml:mi>ξ</mml:mi>
                              </mml:mrow>
                            </mml:mfrac>
                            <mml:mo>→</mml:mo>
                            <mml:mn>0</mml:mn>
                            <mml:mspace/>
                            <mml:mspace/>
                            <mml:mtext>as</mml:mtext>
                            <mml:mspace/>
                            <mml:mi>ξ</mml:mi>
                            <mml:mo>→</mml:mo>
                            <mml:mi>∞</mml:mi>
                            <mml:mo>,</mml:mo>
                          </mml:mrow>
                        </mml:mtd>
                      </mml:mtr>
                    </mml:mtable>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:disp-formula>this is complemented by a statement on nonexistence of such a solution in the presence of smooth initial data and a suitably constructed <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$f:\Omega \times (0,T)\rightarrow {\mathbb {R}}^2$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>f</mml:mi>
                    <mml:mo>:</mml:mo>
                    <mml:mi>Ω</mml:mi>
                    <mml:mo>×</mml:mo>
                    <mml:mrow>
                      <mml:mo>(</mml:mo>
                      <mml:mn>0</mml:mn>
                      <mml:mo>,</mml:mo>
                      <mml:mi>T</mml:mi>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                    <mml:mo>→</mml:mo>
                    <mml:msup>
                      <mml:mrow>
                        <mml:mi>R</mml:mi>
                      </mml:mrow>
                      <mml:mn>2</mml:mn>
                    </mml:msup>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> fulfilling <jats:disp-formula>
              <jats:alternatives>
                <jats:tex-math>$$\begin{aligned} \int _0^T \bigg \{ \int _\Omega |f(x,t)| \cdot L\big (|f(x,t)|\big ) dx \bigg \}^2 dt &lt; \infty . \end{aligned}$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mtable>
                      <mml:mtr>
                        <mml:mtd>
                          <mml:mrow>
                            <mml:msubsup>
                              <mml:mo>∫</mml:mo>
                              <mml:mn>0</mml:mn>
                              <mml:mi>T</mml:mi>
                            </mml:msubsup>
                            <mml:mrow>
                              <mml:mo>{</mml:mo>
                            </mml:mrow>
                            <mml:msub>
                              <mml:mo>∫</mml:mo>
                              <mml:mi>Ω</mml:mi>
                            </mml:msub>
                            <mml:mrow>
                              <mml:mo>|</mml:mo>
                              <mml:mi>f</mml:mi>
                              <mml:mrow>
                                <mml:mo>(</mml:mo>
                                <mml:mi>x</mml:mi>
                                <mml:mo>,</mml:mo>
                                <mml:mi>t</mml:mi>
                                <mml:mo>)</mml:mo>
                              </mml:mrow>
                              <mml:mo>|</mml:mo>
                            </mml:mrow>
                            <mml:mo>·</mml:mo>
                            <mml:mrow>
                              <mml:mi>L</mml:mi>
                              <mml:mrow>
                                <mml:mo>(</mml:mo>
                              </mml:mrow>
                              <mml:mo>|</mml:mo>
                              <mml:mi>f</mml:mi>
                              <mml:mrow>
                                <mml:mo>(</mml:mo>
                                <mml:mi>x</mml:mi>
                                <mml:mo>,</mml:mo>
                                <mml:mi>t</mml:mi>
                                <mml:mo>)</mml:mo>
                              </mml:mrow>
                              <mml:mo>|</mml:mo>
                              <mml:mrow>
                                <mml:mo>)</mml:mo>
                              </mml:mrow>
                              <mml:mi>d</mml:mi>
                              <mml:mi>x</mml:mi>
                            </mml:mrow>
                            <mml:msup>
                              <mml:mrow>
                                <mml:mo>}</mml:mo>
                              </mml:mrow>
                              <mml:mn>2</mml:mn>
                            </mml:msup>
                            <mml:mi>d</mml:mi>
                            <mml:mi>t</mml:mi>
                            <mml:mo>&lt;</mml:mo>
                            <mml:mi>∞</mml:mi>
                            <mml:mo>.</mml:mo>
                          </mml:mrow>
                        </mml:mtd>
                      </mml:mtr>
                    </mml:mtable>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:disp-formula>This resolves a fine structure in the borderline case <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$p=1$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>p</mml:mi>
                    <mml:mo>=</mml:mo>
                    <mml:mn>1</mml:mn>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> and <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$q=2$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>q</mml:mi>
                    <mml:mo>=</mml:mo>
                    <mml:mn>2</mml:mn>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> appearing in results on existence of weak solutions for sources in <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$L^q((0,T);L^p(\Omega ;{\mathbb {R}}^2))$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:msup>
                      <mml:mi>L</mml:mi>
                      <mml:mi>q</mml:mi>
                    </mml:msup>
                    <mml:mrow>
                      <mml:mo>(</mml:mo>
                      <mml:mrow>
                        <mml:mo>(</mml:mo>
                        <mml:mn>0</mml:mn>
                        <mml:mo>,</mml:mo>
                        <mml:mi>T</mml:mi>
                        <mml:mo>)</mml:mo>
                      </mml:mrow>
                      <mml:mo>;</mml:mo>
                      <mml:msup>
                        <mml:mi>L</mml:mi>
                        <mml:mi>p</mml:mi>
                      </mml:msup>
                      <mml:mrow>
                        <mml:mo>(</mml:mo>
                        <mml:mi>Ω</mml:mi>
                        <mml:mo>;</mml:mo>
                        <mml:msup>
                          <mml:mrow>
                            <mml:mi>R</mml:mi>
                          </mml:mrow>
                          <mml:mn>2</mml:mn>
                        </mml:msup>
                        <mml:mo>)</mml:mo>
                      </mml:mrow>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> when <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$p\in (1,\infty ]$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>p</mml:mi>
                    <mml:mo>∈</mml:mo>
                    <mml:mo>(</mml:mo>
                    <mml:mn>1</mml:mn>
                    <mml:mo>,</mml:mo>
                    <mml:mi>∞</mml:mi>
                    <mml:mo>]</mml:mo>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> and <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$q\in [1,\infty ]$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>q</mml:mi>
                    <mml:mo>∈</mml:mo>
                    <mml:mo>[</mml:mo>
                    <mml:mn>1</mml:mn>
                    <mml:mo>,</mml:mo>
                    <mml:mi>∞</mml:mi>
                    <mml:mo>]</mml:mo>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> satisfy <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$\frac{1}{p}+\frac{1}{q}\le \frac{3}{2}$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mfrac>
                      <mml:mn>1</mml:mn>
                      <mml:mi>p</mml:mi>
                    </mml:mfrac>
                    <mml:mo>+</mml:mo>
                    <mml:mfrac>
                      <mml:mn>1</mml:mn>
                      <mml:mi>q</mml:mi>
                    </mml:mfrac>
                    <mml:mo>≤</mml:mo>
                    <mml:mfrac>
                      <mml:mn>3</mml:mn>
                      <mml:mn>2</mml:mn>
                    </mml:mfrac>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula>, and on nonexistence if here <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$p\in [1,\infty )$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>p</mml:mi>
                    <mml:mo>∈</mml:mo>
                    <mml:mo>[</mml:mo>
                    <mml:mn>1</mml:mn>
                    <mml:mo>,</mml:mo>
                    <mml:mi>∞</mml:mi>
                    <mml:mo>)</mml:mo>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> and <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$q\in [1,\infty )$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mi>q</mml:mi>
                    <mml:mo>∈</mml:mo>
                    <mml:mo>[</mml:mo>
                    <mml:mn>1</mml:mn>
                    <mml:mo>,</mml:mo>
                    <mml:mi>∞</mml:mi>
                    <mml:mo>)</mml:mo>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula> are such that <jats:inline-formula>
              <jats:alternatives>
                <jats:tex-math>$$\frac{1}{p}+\frac{1}{q}&gt;\frac{3}{2}$$</jats:tex-math>
                <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
                  <mml:mrow>
                    <mml:mfrac>
                      <mml:mn>1</mml:mn>
                      <mml:mi>p</mml:mi>
                    </mml:mfrac>
                    <mml:mo>+</mml:mo>
                    <mml:mfrac>
                      <mml:mn>1</mml:mn>
                      <mml:mi>q</mml:mi>
                    </mml:mfrac>
                    <mml:mo>&gt;</mml:mo>
                    <mml:mfrac>
                      <mml:mn>3</mml:mn>
                      <mml:mn>2</mml:mn>
                    </mml:mfrac>
                  </mml:mrow>
                </mml:math>
              </jats:alternatives>
            </jats:inline-formula>.</jats:p>}},
  author       = {{Winkler, Michael}},
  issn         = {{0025-5831}},
  journal      = {{Mathematische Annalen}},
  number       = {{2}},
  pages        = {{3023--3054}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Externally forced blow-up and optimal spaces for source regularity in the two-dimensional Navier–Stokes system}}},
  doi          = {{10.1007/s00208-024-02987-6}},
  volume       = {{391}},
  year         = {{2024}},
}

@article{54815,
  abstract     = {{<jats:p>Broadband quantum light is a vital resource for quantum metrology and spectroscopy applications such as quantum optical coherence tomography or entangled two photon absorption. For entangled two photon absorption in particular, very high photon flux combined with high time-frequency entanglement is crucial for observing a signal. So far these conditions could be met by using high power lasers driving degenerate, type 0 bulk-crystal spontaneous parametric down conversion (SPDC) sources. This naturally limits the available wavelength ranges and precludes deterministic splitting of the generated output photons. In this work we demonstrate an integrated two-colour SPDC source utilising a group-velocity matched lithium niobate waveguide, reaching both exceptional brightness 1.52⋅10<jats:sup>6</jats:sup>pairssmWGHz and large bandwidth (7.8 THz FWHM) while pumped with a few mW of continuous wave (CW) laser light. By converting a narrow band pump to broadband pulses the created photon pairs show correlation times of Δ<jats:italic>τ</jats:italic> ≈ 120 fs while maintaining the narrow bandwidth Δ<jats:italic>ω</jats:italic><jats:sub>
      <jats:italic>p</jats:italic>
    </jats:sub> ≪ 1 MHz of the CW pump light, yielding strong time-frequency entanglement. Furthermore our process can be adapted to a wide range of central wavelengths.</jats:p>}},
  author       = {{Pollmann, René and Roeder, Franz and Quiring, Victor and Ricken, Raimund and Eigner, Christof and Brecht, Benjamin and Silberhorn, Christine}},
  issn         = {{1094-4087}},
  journal      = {{Optics Express}},
  number       = {{14}},
  publisher    = {{Optica Publishing Group}},
  title        = {{{Integrated, bright broadband, two-colour parametric down-conversion source}}},
  doi          = {{10.1364/oe.522549}},
  volume       = {{32}},
  year         = {{2024}},
}

@misc{64977,
  author       = {{Mersch, Katharina Ulrike}},
  booktitle    = {{Deutsches Archiv für Erforschung des Mittelalters}},
  number       = {{2}},
  pages        = {{722}},
  title        = {{{Brown, Warren: Beyond the Monastery Walls. 2023, xiv, 385 S.: Illustrationen, Karten. - ISBN 978-1-108-47958-5}}},
  volume       = {{80}},
  year         = {{2024}},
}

@book{65055,
  editor       = {{Hartung, Olaf and Meyer-Hamme, Johannes and Krebs, Alexandra}},
  title        = {{{Geschichtskulturen im digitalen Wandel?}}},
  year         = {{2024}},
}

@article{65534,
  abstract     = {{Cryptography secures our online interactions, transactions, and trust. To achieve this goal, not only do the cryptographic primitives and protocols need to be secure in theory, they also need to be securely implemented by cryptographic library developers in practice. However, implementing cryptographic algorithms securely is challenging, even for skilled professionals, which can lead to vulnerable implementations, especially to side-channel attacks. For timing attacks, a severe class of side-channel attacks, there exist a multitude of tools that are supposed to help cryptographic library developers assess whether their code is vulnerable to timing attacks. Previous work has established that despite an interest in writing constant-time code, cryptographic library developers do not routinely use these tools due to their general lack of usability. However, the precise factors affecting the usability of these tools remain unexplored. While many of the tools are developed in an academic context, we believe that it is worth exploring the factors that contribute to or hinder their effective use by cryptographic library developers [61]. To assess what contributes to and detracts from usability of tools that verify constant-timeness (CT), we conducted a two-part usability study with 24 (post) graduate student participants on 6 tools across diverse tasks that approximate real-world use cases for cryptographic library developers. We find that all studied tools are affected by similar usability issues to varying degrees, with no tool excelling in usability, and usability issues preventing their effective use. Based on our results, we recommend that effective tools for verifying CT need usable documentation, simple installation, easy to adapt examples, clear output corresponding to CT violations, and minimal noninvasive code markup. We contribute first steps to achieving these with limited academic resources, with our documentation, examples, and installation scripts(1).}},
  author       = {{Fourn , M and Braga, DD and Jancar, J and Sabt, M and Schwabe, P and Barthe, G and Fouque, PA and Acar, Y}},
  issn         = {{978-1-939133-44-1}},
  publisher    = {{Usenix Assoc}},
  title        = {{{"These results must be false": A usability evaluation of constant-time analysis tools}}},
  year         = {{2024}},
}

@book{34544,
  abstract     = {{Tax evasion, tax avoidance and tax resistance are widespread phenomena in political, economic, social and fiscal history from antiquity through medieval, early modern and modern times. Histories of Tax Evasion, Avoidance and Resistance shows how different groups and individuals around the globe have succeeded or failed in not paying their due taxes, whether in kind or in cash, on their properties or on their crops.

It analyses how, throughout history, wealthy and poor taxpayers have tried to avoid or reduce their tax burden by negotiating with tax authorities, through practices of legal or illegal tax evasion, by filing lawsuits, seeking armed resistance or by migration, and how state authorities have dealt with such acts of claim making, defiance, open resistance or elusion. It fills an important research gap in tax history, addressing questions of tax morale and fairness, and how social and political inequality was negotiated through taxation. It gives rich insights into the development of citizen-state relationships throughout the course of history. The book comprises case studies from Ancient Athens, Roman Egypt, Medieval Europe, Early Modern Mexico, the Ottoman Empire, Nigeria under British colonial rule, the United Kingdom of the early 20th century, Greece during the Second World War, as well as West Germany, Switzerland, Sweden and the United States in the 20th century, including transnational entanglements in the world of late-modern offshore finance and taxation. The authors are experts in fiscal, economic, financial, legal, social and/or cultural history.
The book is intended for students, researchers and scholars of economic and financial history, social and world history and political economy.
The Open Access version of this book, available at www.taylorfrancis.com, has been made available under a Creative Commons Attribution-Share Alike 4.0 license.}},
  author       = {{Schönhärl, Korinna and Hürlimann, Gisela and Rohde, Dorothea}},
  isbn         = {{9781003333197}},
  keywords     = {{Tax History, Financial History}},
  publisher    = {{Routledge}},
  title        = {{{Histories of Tax Evasion, Avoidance and Resistance}}},
  doi          = {{10.4324/9781003333197}},
  year         = {{2023}},
}

@inbook{34546,
  abstract     = {{Jean Bodin's list on how the absolutist monarchical state could raise its revenue ranked taxation only in seventh place. From a modern legal perspective, taxes are compulsory transfers of resources that households and enterprises pay to one or several government bodies without receiving an individual, specific benefit in return. Historians have dealt with not paying taxes in various contexts, such as analysing tax resistance and tax resistance movements in history. Tax law is best understood as an outcome of long-term, often conflictual, negotiations and as an expression of specific political mentalities and ideologies. As a consequence, tax law and sometimes even the tax juridical system have a strongly politicised character. Loopholes in tax legislation that enable or facilitate avoidance or evasion can thus be regarded as a result of the interest-driven politics of parliamentary majorities, as the success of concerted lobby pressure.}},
  author       = {{Schönhärl, Korinna and Hürlimann, Gisela and Rohde, Dorothea}},
  booktitle    = {{Histories of Tax Evasion, Avoidance and Resistance }},
  editor       = {{Schönhärl, Korinna and Hürlimann, Gisela and Rohde, Dorothea}},
  pages        = {{1--15}},
  publisher    = {{Routledge}},
  title        = {{{ The Ability and Intention of Not Paying Taxes in History. Some Introductory Observations}}},
  doi          = {{10.4324/9781003333197}},
  year         = {{2023}},
}

@inbook{34547,
  abstract     = {{As a case study, this chapter examines two tax education films that were produced 11 years apart in the USA and Western Germany during and after World War II: “The New Spirit” and “Putzke wants to know”. In contrast to America's most popular cartoon character 11 years earlier, Erwin Putzke is in a terrible mood at the beginning of the short film “Putzke wants to know”. The family father and electrician with a workshop of his own is annoyed and upset by the duty of filling in his tax return, grumbling at his wife and daughter and even at their budgie. The film's tax morale message is conveyed to its audience against the backdrop of a sober post-war reality characterised by allied occupation and the Allies' say in West German tax policies during a period of laborious economic build-up after a lost war.}},
  author       = {{Schönhärl, Korinna}},
  booktitle    = {{Histories of Tax Evasion, Avoidance and Resistance}},
  editor       = {{Schönhärl, Korinna and Hürlimann, Gisela and Rohde, Dorothea}},
  pages        = {{154--167}},
  publisher    = {{Routledge}},
  title        = {{{ How to Create a Taxpaying Spirit. A Transnational Examination of an US American and a Western German Tax Education Film in and after World War II}}},
  doi          = {{10.4324/9781003333197}},
  year         = {{2023}},
}

@inbook{36464,
  author       = {{Lauert, Markus}},
  booktitle    = {{Musiklandschaften zwischen Pader und Rhein. Verflechtung und Pluralisierung entlang des Hellwegs}},
  editor       = {{Süßmann, Johannes and Meine, Sabine and Otto, Arnold}},
  title        = {{{In der freiheit musicirt: Musikpraxis und -erziehung in den Taschenkalendern Kaspars von Fürstenberg}}},
  year         = {{2023}},
}

@inproceedings{32407,
  abstract     = {{Estimating the ground state energy of a local Hamiltonian is a central
problem in quantum chemistry. In order to further investigate its complexity
and the potential of quantum algorithms for quantum chemistry, Gharibian and Le
Gall (STOC 2022) recently introduced the guided local Hamiltonian problem
(GLH), which is a variant of the local Hamiltonian problem where an
approximation of a ground state is given as an additional input. Gharibian and
Le Gall showed quantum advantage (more precisely, BQP-completeness) for GLH
with $6$-local Hamiltonians when the guiding vector has overlap
(inverse-polynomially) close to 1/2 with a ground state. In this paper, we
optimally improve both the locality and the overlap parameters: we show that
this quantum advantage (BQP-completeness) persists even with 2-local
Hamiltonians, and even when the guiding vector has overlap
(inverse-polynomially) close to 1 with a ground state. Moreover, we show that
the quantum advantage also holds for 2-local physically motivated Hamiltonians
on a 2D square lattice. This makes a further step towards establishing
practical quantum advantage in quantum chemistry.}},
  author       = {{Gharibian, Sevag and Hayakawa, Ryu and Gall, François Le and Morimae, Tomoyuki}},
  booktitle    = {{Proceedings of the 50th EATCS International Colloquium on Automata, Languages and Programming (ICALP)}},
  number       = {{32}},
  pages        = {{1--19}},
  title        = {{{Improved Hardness Results for the Guided Local Hamiltonian Problem}}},
  doi          = {{10.4230/LIPIcs.ICALP.2023.32}},
  volume       = {{261}},
  year         = {{2023}},
}

@inbook{48165,
  abstract     = {{Paying taxes is a field of economic activity that has always been highly morally charged: the question of who pays how much or can avoid or evade the prescribed payments is always closely related to debate about a fair societal distribution of burdens. In the process of moralisation, therefore, faith communities such as the Catholic Church also repeatedly seized the floor to propagate certain norms. The article examines the contributions of theologians from Spain, the USA and West Germany in the 1940s and 1950s. It concludes that the norms of taxation they propagated differed greatly depending on the institutional and economic frameworks within which they operated. The analysis proves taxation to be a field of economic action and societal dispute where economics and morality are indissolubly interconnected.}},
  author       = {{Schönhärl, Korinna}},
  booktitle    = {{ Reassessing the Moral Economy  Religion and Economic Ethics from Ancient Greece to the 20th Century}},
  editor       = {{Skambraks, Tanja and Lutz, Martin}},
  isbn         = {{9783031298349}},
  keywords     = {{Tax history, religious history: financial history, catholic church, history of economic thought}},
  pages        = {{237--258}},
  publisher    = {{Springer}},
  title        = {{{Tax Morale and the Church: How Catholic Clergies Adapted Norms of Paying Taxes to Secular Institutions (1940s–1950s)}}},
  year         = {{2023}},
}

@inbook{40916,
  author       = {{Foerster, Anne}},
  booktitle    = {{Regentinnen und andere Stellvertreterfiguren Vom 10. bis zum 15. Jahrhundert}},
  editor       = {{Signori, Gabriela and Zey, Claudia}},
  pages        = {{11--30}},
  publisher    = {{De Gruyter}},
  title        = {{{Regierende Herrscherwitwen und die Angst vor Fremdherrschaft. Zum Verhältnis von Dynastie und Geschlecht}}},
  doi          = {{10.1515/9783111071879002}},
  volume       = {{111}},
  year         = {{2023}},
}

@inproceedings{48289,
  author       = {{Habernal, Ivan and Mireshghallah, Fatemehsadat and Thaine, Patricia and Ghanavati, Sepideh and Feyisetan, Oluwaseyi}},
  booktitle    = {{Proceedings of the 17th Conference of the European Chapter of the Association for Computational Linguistics: Tutorial Abstracts}},
  publisher    = {{Association for Computational Linguistics}},
  title        = {{{Privacy-Preserving Natural Language Processing}}},
  doi          = {{10.18653/v1/2023.eacl-tutorials.6}},
  year         = {{2023}},
}

@inbook{48344,
  author       = {{Wille, Manuel}},
  booktitle    = {{Text und Bild: Relationen und Funktionen in Texten vom 8. bis 18. Jahrhundert : Akten zum internationalen Kongress 17. bis 19. Juni 2021}},
  editor       = {{Just, Anna and Wich-Reif, Claudia}},
  pages        = {{337 -- 367}},
  publisher    = {{Weidler}},
  title        = {{{Text-Bild-Bezüge in illustrierten Flugblättern von 1500 bis 1700}}},
  volume       = {{37}},
  year         = {{2023}},
}

@inproceedings{48352,
  abstract     = {{Star-connected cascaded H-bridge Converters require large DC-link capacitors to buffer the second-order harmonic voltage ripple. First, it is analytically proven that the DC-link voltage ripple is proportional to the apparent converter power and does not depend on the power factor for nominal operation with sinusoidal reference arm voltages and currents. A third-harmonic zero-sequence voltage injection with an optimal amplitude and phase angle transforms the 2nd harmonic to a 4th harmonic DC-link voltage ripple. This reduces the voltage ripple by exactly 50% for all power factors at steady-state at balanced conditions. However, this requires 54% additional modules for unity power factor operation and even 100% for pure reactive power operation to account for the increased reference arm voltages due to the large amplitude of the optimal third-harmonic injection. If not enough modules are available, an adaptive discontinuous PWM is utilized to still minimize the voltage ripple for the given number of modules and power factor. With a very limited number of modules (modulation index is 1.15), the proposed method still reduces the DC-link voltage ripple by 24.4% for unity power factor operation. It requires the same number of modules as the commonly utilized 3rd harmonic injection with 1/6 of the grid voltage amplitude and achieves superior results. Simulations of a 10 kV/1 MVA system confirm the analysis.}},
  author       = {{Unruh, Roland and Böcker, Joachim and Schafmeister, Frank}},
  booktitle    = {{2023 25th European Conference on Power Electronics and Applications (EPE'23 ECCE Europe)}},
  isbn         = {{979-8-3503-1678-0}},
  keywords     = {{Cascaded H-Bridge, Solid-State Transformer, Capacitor voltage ripple, Zero sequence voltage, Third harmonic injection}},
  location     = {{Aalborg, Denmark}},
  publisher    = {{IEEE}},
  title        = {{{An Optimized Third-Harmonic Injection Reduces DC-Link Voltage Ripple in Cascaded H-Bridge Converters up to 50% for all Power Factors}}},
  doi          = {{10.23919/epe23ecceeurope58414.2023.10264313}},
  year         = {{2023}},
}

@misc{48371,
  author       = {{Schönhärl, Korinna}},
  booktitle    = {{Sehepunkte}},
  title        = {{{Review on: Christos Tsakas: Post-war Greco-German Relations, 1953-1981. Economic Development, Business Interests and European Integration, Basingstoke 2022. }}},
  volume       = {{23}},
  year         = {{2023}},
}

@book{48542,
  author       = {{Dehmel, Lukas}},
  publisher    = {{Springer VS}},
  title        = {{{Medienpädagogische Professionalisierung in der beruflichen Weiterbildung. Eine Studie aus Perspektive der biografischen Medienforschung}}},
  doi          = {{https://doi.org/10.1007/978-3-658-43069-6}},
  year         = {{2023}},
}

@inbook{48944,
  abstract     = {{Buch Handlung Welt – in drei Worten − wurde von der Künstlerin Hilka Nordhausen 1976 im Hamburger Karolinenviertel eröffnet. Ein Laden, der Unmengen an Drucken, Heften, Broschüren, Taschenbüchern, Publikationen aus dem Underground, aus Übersee, der Kunst und Esoterik, auch selbstverlegte Bücher, Kataloge und Zines versammelte, die in wirren Stapeln halbhohe Tische bedeckten. Zwischen den überquellenden Bücherregalen fanden Lesungen und Performances statt, Filme und alles mögliche andere wurden projiziert.

Fast jeden Monat entstand ein neues Wandbild in den Räumen. Die Buch Handlung Welt war bis 1983 in Hamburg der Ort für selbstorganisiertes künstlerisches Handeln − ein Anschlag auf die Wirklichkeit.

Ein Konvolut dieser Bücher und Zeitschriften befindet sich im Nachlass von Hilka Nordhausen. 40 Jahre später stellt sich die Frage: Was bleibt von den Büchern, welchen Zeitgeist transportieren sie? Welche haben auch heute noch Bedeutung?

Dieses Buch versammelt eine Reihe von subjektiven und widersprüchlichen Einschätzungen zu diesen Titeln, von jungen und mittelalten Künstler*innen und Wissenschaftler*innen.}},
  author       = {{Schulze, Max}},
  booktitle    = {{Buch Handlung Welt Bücher}},
  editor       = {{Sefkow, Bettina and Reimann, Fabian}},
  isbn         = {{978-3-86485-291-6}},
  keywords     = {{Buch Handlung Welt, Hilka Nordhausen, Achim Duchow, Martin Kippnberger}},
  pages        = {{66--67}},
  publisher    = {{Textem}},
  title        = {{{Al Vostro Servizio}}},
  year         = {{2023}},
}

@misc{48788,
  author       = {{Hartung, Olaf}},
  booktitle    = {{sehepunkte}},
  issn         = {{1618-6168}},
  title        = {{{ Rezension von: Jörg van Norden: Verlust der Vergangenheit. Historische Erkenntnis und Materialität zwischen Wiedererkennen und Befremden, Frankfurt/M.: Wochenschau-Verlag 2022}}},
  volume       = {{23, 5}},
  year         = {{2023}},
}

@misc{48433,
  author       = {{Böttger, Lydia}},
  booktitle    = {{www.daz-portal.de}},
  title        = {{{Lydia Böttger (Universität Paderborn) rezensiert: Burwitz-Melzer, Eva; Riemer, Claudia; Schmelter, Lars (Hrsg.) (2022): Feedback beim Lehren und Lernen von Fremd- und Zweitsprachen. Arbeitspapiere der 42. Frühjahrs- konferenz zur Erforschung des Fremdsprachenunterrichts. [Giessener Beiträge zur Fremdsprachendidaktik]. Tübingen: Narr Francke Attempto, 245 Seiten. ISBN 978-3- 8233-8569-1}}},
  year         = {{2023}},
}

